
Time bar (total: 10.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 40% | 37.4% | 56.2% | 0.1% | 0% | 6.2% | 0% | 7 |
| 48.3% | 45.2% | 48.4% | 0.1% | 0% | 6.2% | 0% | 8 |
| 53% | 48.4% | 42.9% | 0.1% | 0% | 8.6% | 0% | 9 |
| 58.1% | 50.3% | 36.3% | 0.1% | 0% | 13.3% | 0% | 10 |
| 66.1% | 56.8% | 29.1% | 0.1% | 0% | 14% | 0% | 11 |
| 70.4% | 58.8% | 24.7% | 0.1% | 0% | 16.4% | 0% | 12 |
Compiled 19 to 14 computations (26.3% saved)
| 526.0ms | 5 625× | 0 | valid |
| 248.0ms | 1 128× | 2 | valid |
| 185.0ms | 1 342× | 1 | valid |
| 112.0ms | 948× | 0 | invalid |
| 39.0ms | 161× | 3 | valid |
ival-mult: 229.0ms (31.7% of total)ival-sqrt: 117.0ms (16.2% of total)ival-div: 95.0ms (13.1% of total)ival-sub: 79.0ms (10.9% of total)adjust: 68.0ms (9.4% of total)ival-add: 68.0ms (9.4% of total)ival-neg: 49.0ms (6.8% of total)ival-true: 7.0ms (1% of total)exact: 6.0ms (0.8% of total)ival-assert: 4.0ms (0.6% of total)| 1× | egg-herbie |
| 1 562× | div-sub |
| 1 088× | lower-fma.f64 |
| 1 088× | lower-fma.f32 |
| 996× | sub-neg |
| 712× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 158 |
| 1 | 152 | 144 |
| 2 | 433 | 144 |
| 3 | 1173 | 144 |
| 4 | 3171 | 144 |
| 5 | 6061 | 144 |
| 0 | 12 | 17 |
| 0 | 20 | 17 |
| 1 | 36 | 16 |
| 2 | 73 | 16 |
| 3 | 156 | 16 |
| 4 | 236 | 16 |
| 5 | 374 | 16 |
| 6 | 650 | 16 |
| 7 | 1103 | 16 |
| 8 | 2241 | 16 |
| 9 | 2510 | 16 |
| 10 | 2621 | 16 |
| 11 | 2676 | 16 |
| 12 | 2677 | 16 |
| 13 | 2677 | 16 |
| 0 | 2677 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 90 | 0 | - | 1 | (4.572850394970916e-62 -1.3589022900199609e-307 -2.3765313014323917e-261) | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| 53 | 0 | - | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 20 | 0 | - | 2 | (-9.757897795624259e-206 7.229292375550499e-134 5.4272127279582756e-244) | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 1 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 3 binary64) a) c) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) a) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) | oflow-rescue | 80 | 0 |
| ↳ | (*.f64 b b) | overflow | 65 | |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | overflow | 19 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | overflow | 80 | |
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | cancellation | 53 | 0 |
/.f64 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | u/n | 18 | 0 |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | underflow | 42 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | underflow | 9 | |
| ↳ | (*.f64 b b) | underflow | 54 | |
| ↳ | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | underflow | 33 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) | uflow-rescue | 9 | 0 |
| ↳ | (*.f64 b b) | underflow | 54 | |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | underflow | 42 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | underflow | 9 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | nan-rescue | 1 | 0 |
| ↳ | (*.f64 b b) | overflow | 65 | |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | overflow | 19 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 120 | 1 |
| - | 12 | 123 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 120 | 0 | 1 |
| - | 12 | 0 | 123 |
| number | freq |
|---|---|
| 0 | 124 |
| 1 | 104 |
| 2 | 27 |
| 3 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 32.0ms | 340× | 0 | valid |
| 22.0ms | 92× | 2 | valid |
| 13.0ms | 66× | 1 | valid |
| 4.0ms | 14× | 3 | valid |
Compiled 176 to 52 computations (70.5% saved)
ival-mult: 11.0ms (24.2% of total)ival-div: 8.0ms (17.6% of total)adjust: 7.0ms (15.4% of total)ival-sqrt: 6.0ms (13.2% of total)ival-sub: 4.0ms (8.8% of total)ival-add: 4.0ms (8.8% of total)ival-neg: 4.0ms (8.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 20 to 12 computations (40% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (neg.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 1 088× | lower-fma.f64 |
| 1 088× | lower-fma.f32 |
| 712× | lower-*.f32 |
| 706× | lower-*.f64 |
| 430× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 66 |
| 0 | 20 | 66 |
| 1 | 36 | 64 |
| 2 | 73 | 64 |
| 3 | 156 | 64 |
| 4 | 236 | 64 |
| 5 | 374 | 64 |
| 6 | 650 | 64 |
| 7 | 1103 | 64 |
| 8 | 2241 | 64 |
| 9 | 2510 | 64 |
| 10 | 2621 | 64 |
| 11 | 2676 | 64 |
| 12 | 2677 | 64 |
| 13 | 2677 | 64 |
| 0 | 2677 | 60 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
c |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64))) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 #s(literal 3 binary64) (*.f64 a c)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
c |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
| ✓ | accuracy | 92.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | accuracy | 81.2% | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| ✓ | accuracy | 67.2% | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| 14.0ms | 170× | 0 | valid |
| 10.0ms | 46× | 2 | valid |
| 6.0ms | 33× | 1 | valid |
| 2.0ms | 7× | 3 | valid |
Compiled 68 to 14 computations (79.4% saved)
ival-mult: 6.0ms (30.1% of total)ival-div: 3.0ms (15% of total)ival-sqrt: 3.0ms (15% of total)ival-sub: 2.0ms (10% of total)adjust: 2.0ms (10% of total)ival-add: 2.0ms (10% of total)ival-neg: 2.0ms (10% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))> |
#<alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))> |
#<alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))> |
#<alt (neg.f64 b)> |
#<alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))> |
| Outputs |
|---|
#<alt (* (sqrt (* a c)) (sqrt -3))> |
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)> |
#<alt (* -2 b)> |
#<alt (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))> |
#<alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))> |
#<alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -3))> |
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))> |
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))> |
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))> |
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))> |
#<alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))> |
#<alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -3))> |
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))> |
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))> |
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))> |
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))> |
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -3 (* a c))> |
#<alt (- (pow b 2) (* 3 (* a c)))> |
#<alt (- (pow b 2) (* 3 (* a c)))> |
#<alt (- (pow b 2) (* 3 (* a c)))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (* -3 (* a c))> |
#<alt (* a (- (/ (pow b 2) a) (* 3 c)))> |
#<alt (* a (- (/ (pow b 2) a) (* 3 c)))> |
#<alt (* a (- (/ (pow b 2) a) (* 3 c)))> |
#<alt (* -3 (* a c))> |
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))> |
#<alt (pow b 2)> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (* -3 (* a c))> |
#<alt (* c (- (/ (pow b 2) c) (* 3 a)))> |
#<alt (* c (- (/ (pow b 2) c) (* 3 a)))> |
#<alt (* c (- (/ (pow b 2) c) (* 3 a)))> |
#<alt (* -3 (* a c))> |
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))> |
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))> |
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))> |
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))> |
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))> |
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))> |
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))> |
#<alt (* -1/2 (/ c b))> |
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)> |
#<alt (* -2/3 (/ b a))> |
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))> |
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))> |
#<alt (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))> |
#<alt (* -1/2 (/ c b))> |
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))> |
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))> |
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))> |
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))> |
#<alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))> |
#<alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))> |
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))> |
#<alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))> |
#<alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))> |
#<alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))> |
#<alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))> |
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))> |
#<alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))> |
#<alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))> |
#<alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))> |
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* (sqrt (* a c)) (sqrt -3))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))> |
#<alt b> |
#<alt (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt b> |
#<alt (+ b (* -3/2 (/ (* a c) b)))> |
#<alt (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -3))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))> |
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))> |
#<alt b> |
#<alt (+ b (* -3/2 (/ (* a c) b)))> |
#<alt (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -3))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))> |
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | 0 | (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) |
| 1.0ms | a | @ | -inf | (sqrt (- (* b b) (* (* 3 a) c))) |
| 1.0ms | b | @ | inf | (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 1.0ms | a | @ | inf | (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 1.0ms | c | @ | 0 | (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 1× | batch-egg-rewrite |
| 4 876× | lower-fma.f64 |
| 4 876× | lower-fma.f32 |
| 3 870× | lower-*.f32 |
| 3 864× | lower-*.f64 |
| 2 328× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 51 |
| 0 | 20 | 51 |
| 1 | 71 | 49 |
| 2 | 525 | 48 |
| 3 | 6836 | 48 |
| 0 | 8125 | 44 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| Outputs |
|---|
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(+.f64 b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) |
(+.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(+.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(+.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) b) |
(+.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) b) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) |
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(-.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(-.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) b) |
(fma.f64 b #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 b #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 b #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 b (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 #s(literal 1 binary64) b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 #s(literal 1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 #s(literal -1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1/2 binary64)) b) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))) b) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))) b) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) b) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) b) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) b) |
(fma.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) b) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) b) |
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 (/.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
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b |
(+.f64 b #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) b) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) b) |
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(-.f64 (/.f64 #s(literal 0 binary64) b) b) |
(fma.f64 b #s(literal 1 binary64) #s(literal 0 binary64)) |
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(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))))) |
(/.f64 (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) (+.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64))) |
(pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 a c)) (*.f64 a c) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))))) |
(*.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
| 1× | egg-herbie |
| 10 788× | lower-fma.f64 |
| 10 788× | lower-fma.f32 |
| 7 910× | lower-*.f64 |
| 7 910× | lower-*.f32 |
| 2 502× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 560 | 3466 |
| 1 | 1767 | 3443 |
| 2 | 6215 | 3400 |
| 0 | 8264 | 3230 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -3/2 (/ (* a c) b)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -3 (* a c)) |
(- (pow b 2) (* 3 (* a c))) |
(- (pow b 2) (* 3 (* a c))) |
(- (pow b 2) (* 3 (* a c))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* -3 (* a c)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* -3 (* a c)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
| Outputs |
|---|
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b)) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/.f64 (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -27/16 binary64)) (fma.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (*.f64 (*.f64 a c) #s(literal -3/2 binary64))))) b) |
(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(neg.f64 (*.f64 b (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 b b)) #s(literal 2 binary64)))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 b b)) #s(literal 2 binary64))) (neg.f64 b)) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64)) (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 b b)) #s(literal 2 binary64)))) (neg.f64 b)) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b))) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(*.f64 a (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(*.f64 a (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b a)) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(neg.f64 (*.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 b)) a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 b b))) (sqrt.f64 #s(literal 3 binary64)))) a) b) a)) (neg.f64 a)) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(*.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -27/16 binary64) c) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(*.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(*.f64 c (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 b)) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(neg.f64 (*.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))))) c) b) c)))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(- (pow b 2) (* 3 (* a c))) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(- (pow b 2) (* 3 (* a c))) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(- (pow b 2) (* 3 (* a c))) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3 binary64) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3 binary64) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3 binary64) (*.f64 b b)) #s(literal 1 binary64))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3 binary64) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3 binary64) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3 binary64) (*.f64 b b)) #s(literal 1 binary64))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a))) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
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(*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
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(*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a))) |
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(*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
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(* c (- (/ (pow b 2) c) (* 3 a))) |
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(* c (- (/ (pow b 2) c) (* 3 a))) |
(*.f64 c (fma.f64 b (/.f64 b c) (*.f64 a #s(literal -3 binary64)))) |
(* -3 (* a c)) |
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(*.f64 c (fma.f64 b (/.f64 b c) (*.f64 a #s(literal -3 binary64)))) |
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(*.f64 c (fma.f64 b (/.f64 b c) (*.f64 a #s(literal -3 binary64)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(*.f64 c (fma.f64 b (/.f64 b c) (*.f64 a #s(literal -3 binary64)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
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b |
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(*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 b b)) #s(literal 1 binary64))) (neg.f64 b)) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64)) (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 b b)) #s(literal 1 binary64)))) (neg.f64 b)) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)) b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 a (fma.f64 a (fma.f64 a (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)) b) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(*.f64 a (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(*.f64 a (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))))) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/2 binary64))))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(*.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(literal 3 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/2 binary64)))))) (neg.f64 a)) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) b) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -27/16 binary64) c) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) b) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(*.f64 c (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(*.f64 c (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 a c))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 a c)))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (*.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))))))))) |
Compiled 22 517 to 2 107 computations (90.6% saved)
19 alts after pruning (19 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 574 | 19 | 593 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 575 | 19 | 594 |
| Status | Accuracy | Program |
|---|---|---|
| 26.1% | (/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 (*.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) | |
| ▶ | 54.8% | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
| 26.5% | (/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) | |
| 54.7% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 11.6% | (/.f64 (+.f64 (neg.f64 b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 54.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 32.3% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) | |
| 31.1% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 3 binary64)) | |
| 31.1% | (/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) a) | |
| 21.5% | (/.f64 (*.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 35.5% | (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) | |
| ▶ | 34.5% | (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
| 34.5% | (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a)) | |
| 23.1% | (/.f64 (*.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 33.7% | (*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) |
| ▶ | 31.1% | (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) |
| 31.0% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64))) | |
| 54.7% | (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) | |
| ▶ | 32.6% | (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) |
Compiled 684 to 448 computations (34.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 c (*.f64 b (*.f64 b b))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) |
| ✓ | cost-diff | 320 | (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
| ✓ | cost-diff | 0 | (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 b b) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) |
| ✓ | cost-diff | 0 | (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) |
| ✓ | cost-diff | 448 | (*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) |
| ✓ | cost-diff | 0 | (*.f64 b #s(literal -2/3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
| ✓ | cost-diff | 0 | (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
| 4 020× | lower-fma.f32 |
| 4 014× | lower-fma.f64 |
| 3 352× | lower-*.f32 |
| 3 336× | lower-*.f64 |
| 2 626× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 247 |
| 0 | 58 | 237 |
| 1 | 108 | 237 |
| 2 | 207 | 237 |
| 3 | 537 | 237 |
| 4 | 1202 | 237 |
| 5 | 2010 | 235 |
| 6 | 2788 | 235 |
| 7 | 4333 | 235 |
| 8 | 6917 | 235 |
| 0 | 8165 | 234 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) |
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
a |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
(*.f64 b #s(literal -2/3 binary64)) |
b |
#s(literal -2/3 binary64) |
a |
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) |
(fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) |
c |
(/.f64 #s(literal -1/2 binary64) (*.f64 b b)) |
#s(literal -1/2 binary64) |
(*.f64 b b) |
b |
(/.f64 #s(literal 2/3 binary64) a) |
#s(literal 2/3 binary64) |
a |
(neg.f64 b) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) |
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
a |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
#s(literal 1/3 binary64) |
(*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) |
c |
(fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)) |
a |
(*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) |
(/.f64 c (*.f64 b (*.f64 b b))) |
(*.f64 b (*.f64 b b)) |
b |
(*.f64 b b) |
#s(literal -3/8 binary64) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (*.f64 a #s(literal -3 binary64))) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) a) |
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) |
b |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
a |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(*.f64 b #s(literal -2/3 binary64)) |
b |
#s(literal -2/3 binary64) |
a |
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) |
(fma.f64 b (/.f64 #s(literal -2/3 binary64) a) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) |
(fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) |
c |
(/.f64 #s(literal -1/2 binary64) (*.f64 b b)) |
#s(literal -1/2 binary64) |
(*.f64 b b) |
b |
(/.f64 #s(literal 2/3 binary64) a) |
#s(literal 2/3 binary64) |
a |
(neg.f64 b) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) #s(literal 1/3 binary64)) a) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) a) |
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) |
b |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
a |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
#s(literal 1/3 binary64) |
(*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (/.f64 c b) (fma.f64 c (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b))) #s(literal -1/2 binary64))) |
c |
(fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 (fma.f64 c (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b))) #s(literal -1/2 binary64)) b) |
a |
(*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) |
(/.f64 (*.f64 c #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))) |
(/.f64 c (*.f64 b (*.f64 b b))) |
(*.f64 b (*.f64 b b)) |
b |
(*.f64 b b) |
#s(literal -3/8 binary64) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) |
| ✓ | accuracy | 98.3% | (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) |
| ✓ | accuracy | 95.0% | (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)) |
| ✓ | accuracy | 91.1% | (/.f64 c (*.f64 b (*.f64 b b))) |
| ✓ | accuracy | 99.5% | (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 95.5% | (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) |
| ✓ | accuracy | 77.3% | (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
| ✓ | accuracy | 67.2% | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 2/3 binary64) a) |
| ✓ | accuracy | 99.0% | (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) |
| ✓ | accuracy | 94.1% | (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) |
| ✓ | accuracy | 91.0% | (*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
| ✓ | accuracy | 99.5% | (*.f64 b #s(literal -2/3 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
| ✓ | accuracy | 93.1% | (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) |
| ✓ | accuracy | 81.2% | (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
| ✓ | accuracy | 67.2% | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
| 54.0ms | 79× | 2 | valid |
| 37.0ms | 77× | 1 | valid |
| 27.0ms | 90× | 0 | valid |
| 7.0ms | 10× | 3 | valid |
Compiled 263 to 37 computations (85.9% saved)
ival-div: 22.0ms (25.9% of total)ival-mult: 20.0ms (23.6% of total)ival-add: 13.0ms (15.3% of total)const: 11.0ms (13% of total)adjust: 10.0ms (11.8% of total)ival-sqrt: 4.0ms (4.7% of total)ival-sub: 2.0ms (2.4% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64))> |
#<alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)> |
#<alt (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))> |
#<alt (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))> |
#<alt (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)> |
#<alt (*.f64 b #s(literal -2/3 binary64))> |
#<alt (*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))> |
#<alt (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))> |
#<alt (/.f64 #s(literal -1/2 binary64) (*.f64 b b))> |
#<alt (*.f64 b b)> |
#<alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))> |
#<alt (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)> |
#<alt (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))> |
#<alt (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))> |
#<alt (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))> |
#<alt (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64))> |
#<alt (/.f64 c (*.f64 b (*.f64 b b)))> |
#<alt (/.f64 #s(literal 2/3 binary64) a)> |
| Outputs |
|---|
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))> |
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))> |
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))> |
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))> |
#<alt (* -1/2 (/ c b))> |
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)> |
#<alt (* -2/3 (/ b a))> |
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))> |
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))> |
#<alt (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))> |
#<alt (* -1/2 (/ c b))> |
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))> |
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))> |
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))> |
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))> |
#<alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))> |
#<alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))> |
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))> |
#<alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))> |
#<alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))> |
#<alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))> |
#<alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))> |
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))> |
#<alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))> |
#<alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))> |
#<alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))> |
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -3)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (/ 1 a))))> |
#<alt (* 3/2 (/ c b))> |
#<alt (/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b)> |
#<alt (/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)> |
#<alt (/ (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b)> |
#<alt (* 2 (/ b a))> |
#<alt (* -1 (* b (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))> |
#<alt (* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (* 3/2 (/ c (pow b 2)))) (* 2 (/ 1 a)))))> |
#<alt (* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 3/2 (/ c (pow b 2))) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))))) (* 2 (/ 1 a)))))> |
#<alt (* 3/2 (/ c b))> |
#<alt (+ (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b)))> |
#<alt (+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5))))))> |
#<alt (+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 27/16 (/ (pow c 3) (pow b 5))))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -3)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a))))> |
#<alt (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))> |
#<alt (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))> |
#<alt (+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))> |
#<alt (+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* 3/2 (/ c b))> |
#<alt (* c (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))> |
#<alt (* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* 27/16 (/ (* (pow a 2) c) (pow b 5))))) (* 3/2 (/ 1 b))))> |
#<alt (* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* c (+ (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 27/16 (/ (pow a 2) (pow b 5))))))) (* 3/2 (/ 1 b))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -3)))> |
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (/ b (* a c))))> |
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b (* a c)))))> |
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b (* a c))))))> |
#<alt (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b a)) c)))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (/ b a)) c)))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (- b (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (* 3/2 (/ (* a c) b))> |
#<alt (/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b)> |
#<alt (/ (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)> |
#<alt (* 2 b)> |
#<alt (* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2)))> |
#<alt (* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))> |
#<alt (* -1 (* b (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt (* 3/2 (/ (* a c) b))> |
#<alt (* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b))))> |
#<alt (* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b))))> |
#<alt (* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3))))> |
#<alt (* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))> |
#<alt (* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))> |
#<alt (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))> |
#<alt (* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* 3/2 (/ (* a c) b))> |
#<alt (* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b))))> |
#<alt (* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))> |
#<alt (* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -3))))> |
#<alt (* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))> |
#<alt (* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))> |
#<alt (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))> |
#<alt (* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))> |
#<alt b> |
#<alt (+ b (* -3/2 (/ (* a c) b)))> |
#<alt (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -3))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))> |
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))> |
#<alt b> |
#<alt (+ b (* -3/2 (/ (* a c) b)))> |
#<alt (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -3))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))> |
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -3))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))> |
#<alt b> |
#<alt (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt (* -2/3 (/ b a))> |
#<alt (* -2/3 (/ b a))> |
#<alt (* -2/3 (/ b a))> |
#<alt (* -2/3 (/ b a))> |
#<alt (* -2/3 (/ b a))> |
#<alt (* -2/3 (/ b a))> |
#<alt (* -2/3 (/ b a))> |
#<alt (* -2/3 (/ b a))> |
#<alt (* -2/3 (/ b a))> |
#<alt (* -2/3 (/ b a))> |
#<alt (* -2/3 (/ b a))> |
#<alt (* -2/3 (/ b a))> |
#<alt (* -2/3 (/ b a))> |
#<alt (* -2/3 (/ b a))> |
#<alt (* -2/3 (/ b a))> |
#<alt (* -2/3 (/ b a))> |
#<alt (* -2/3 (/ b a))> |
#<alt (* -2/3 (/ b a))> |
#<alt (* -2/3 (/ b a))> |
#<alt (* -2/3 (/ b a))> |
#<alt (* -2/3 (/ b a))> |
#<alt (* -2/3 (/ b a))> |
#<alt (* -2/3 (/ b a))> |
#<alt (* -2/3 (/ b a))> |
#<alt (* -2/3 b)> |
#<alt (* -2/3 b)> |
#<alt (* -2/3 b)> |
#<alt (* -2/3 b)> |
#<alt (* -2/3 b)> |
#<alt (* -2/3 b)> |
#<alt (* -2/3 b)> |
#<alt (* -2/3 b)> |
#<alt (* -2/3 b)> |
#<alt (* -2/3 b)> |
#<alt (* -2/3 b)> |
#<alt (* -2/3 b)> |
#<alt (* -2/3 (/ b a))> |
#<alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))> |
#<alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))> |
#<alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))> |
#<alt (* 1/2 (/ c b))> |
#<alt (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))> |
#<alt (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))> |
#<alt (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))> |
#<alt (* 1/2 (/ c b))> |
#<alt (* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))> |
#<alt (* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))> |
#<alt (* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))> |
#<alt (* 1/2 (/ c b))> |
#<alt (/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)> |
#<alt (/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)> |
#<alt (/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)> |
#<alt (* -2/3 (/ b a))> |
#<alt (* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))> |
#<alt (* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))> |
#<alt (* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))> |
#<alt (* -2/3 (/ b a))> |
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#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))> |
#<alt (* -2/3 (/ b a))> |
#<alt (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)> |
#<alt (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)> |
#<alt (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)> |
#<alt (* 1/2 (/ c b))> |
#<alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))> |
#<alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))> |
#<alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))> |
#<alt (* 1/2 (/ c b))> |
#<alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))> |
#<alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))> |
#<alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))> |
#<alt (/ 2/3 a)> |
#<alt (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))> |
#<alt (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))> |
#<alt (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))> |
#<alt (* -1/2 (/ c (pow b 2)))> |
#<alt (* c (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))))> |
#<alt (* c (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))))> |
#<alt (* c (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))))> |
#<alt (* -1/2 (/ c (pow b 2)))> |
#<alt (* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))))> |
#<alt (* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))))> |
#<alt (* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))))> |
#<alt (* -1/2 (/ c (pow b 2)))> |
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#<alt (/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2))> |
#<alt (/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2))> |
#<alt (/ 2/3 a)> |
#<alt (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))> |
#<alt (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))> |
#<alt (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))> |
#<alt (/ 2/3 a)> |
#<alt (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))> |
#<alt (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))> |
#<alt (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))> |
#<alt (/ 2/3 a)> |
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#<alt (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))> |
#<alt (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))> |
#<alt (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))> |
#<alt (* -1/2 (/ c (pow b 2)))> |
#<alt (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))> |
#<alt (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))> |
#<alt (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))> |
#<alt (/ -1/2 (pow b 2))> |
#<alt (/ -1/2 (pow b 2))> |
#<alt (/ -1/2 (pow b 2))> |
#<alt (/ -1/2 (pow b 2))> |
#<alt (/ -1/2 (pow b 2))> |
#<alt (/ -1/2 (pow b 2))> |
#<alt (/ -1/2 (pow b 2))> |
#<alt (/ -1/2 (pow b 2))> |
#<alt (/ -1/2 (pow b 2))> |
#<alt (/ -1/2 (pow b 2))> |
#<alt (/ -1/2 (pow b 2))> |
#<alt (/ -1/2 (pow b 2))> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))> |
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))> |
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))> |
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))> |
#<alt (* 2/3 (/ b a))> |
#<alt (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))> |
#<alt (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))> |
#<alt (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))> |
#<alt (* 1/2 (/ c b))> |
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#<alt (* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))> |
#<alt (* 2/3 (/ b a))> |
#<alt (/ (+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) a)> |
#<alt (/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a)> |
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#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))> |
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))> |
#<alt (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))> |
#<alt (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))))> |
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))> |
#<alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))> |
#<alt (+ (* -1 (/ (+ (* -1/3 b) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))> |
#<alt (* 2/3 (/ b a))> |
#<alt (+ (* -1/2 (/ c b)) (* 2/3 (/ b a)))> |
#<alt (+ (* 2/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))> |
#<alt (+ (* 2/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))> |
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))> |
#<alt (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c)))))> |
#<alt (* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))))> |
#<alt (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c)))))))> |
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -3))> |
#<alt (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))> |
#<alt (+ (* b (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3)))> |
#<alt (+ (* b (+ (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3)))> |
#<alt (* 2 (/ b a))> |
#<alt (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))> |
#<alt (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))> |
#<alt (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))> |
#<alt (* 3/2 (/ c b))> |
#<alt (* -1 (/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))> |
#<alt (* 2 (/ b a))> |
#<alt (/ (+ (* -3/2 (/ (* a c) b)) (* 2 b)) a)> |
#<alt (/ (+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) a)> |
#<alt (/ (+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) a)> |
#<alt (* (sqrt (/ c a)) (sqrt -3))> |
#<alt (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))> |
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))))> |
#<alt (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (/ b a))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 b) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)))> |
#<alt (* 2 (/ b a))> |
#<alt (+ (* -3/2 (/ c b)) (* 2 (/ b a)))> |
#<alt (+ (* 2 (/ b a)) (* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))))> |
#<alt (+ (* 2 (/ b a)) (* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))))> |
#<alt (* (sqrt (/ c a)) (sqrt -3))> |
#<alt (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c))))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c)))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b a)) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (/ b a)) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* (sqrt (* a c)) (sqrt -3))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (* 2 b)> |
#<alt (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* 3/2 (/ (* a c) b))> |
#<alt (* -1 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))> |
#<alt (* 2 b)> |
#<alt (+ (* -3/2 (/ (* a c) b)) (* 2 b))> |
#<alt (+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -3))> |
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))))> |
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* 2 b)> |
#<alt (+ (* -3/2 (/ (* a c) b)) (* 2 b))> |
#<alt (+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -3))> |
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c)))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c)))))> |
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (/ -1/2 b)> |
#<alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))> |
#<alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))> |
#<alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))> |
#<alt (* -3/8 (/ (* a c) (pow b 3)))> |
#<alt (* a (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))> |
#<alt (* a (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))> |
#<alt (* a (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))> |
#<alt (* -3/8 (/ (* a c) (pow b 3)))> |
#<alt (* -1 (* a (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))))> |
#<alt (* -1 (* a (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))))> |
#<alt (* -1 (* a (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))))> |
#<alt (/ -1/2 b)> |
#<alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))> |
#<alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))> |
#<alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))> |
#<alt (* -3/8 (/ (* a c) (pow b 3)))> |
#<alt (* c (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))> |
#<alt (* c (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))> |
#<alt (* c (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))> |
#<alt (* -3/8 (/ (* a c) (pow b 3)))> |
#<alt (* -1 (* c (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))))> |
#<alt (* -1 (* c (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))))> |
#<alt (* -1 (* c (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))))> |
#<alt (* -3/8 (/ (* a c) (pow b 3)))> |
#<alt (/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 3))> |
#<alt (/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 3))> |
#<alt (/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 3))> |
#<alt (/ -1/2 b)> |
#<alt (/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b)> |
#<alt (/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b)> |
#<alt (/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b)> |
#<alt (/ -1/2 b)> |
#<alt (* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))> |
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))> |
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))> |
#<alt (* -3/8 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))> |
#<alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))> |
#<alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))> |
#<alt (* -3/8 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))> |
#<alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))> |
#<alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))> |
#<alt (* -1/2 (/ c b))> |
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (* -3/8 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))> |
#<alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))> |
#<alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))> |
#<alt (* -3/8 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))> |
#<alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))> |
#<alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))> |
#<alt (* -3/8 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))> |
#<alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))> |
#<alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))> |
#<alt (* -1/2 (/ c b))> |
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)> |
#<alt (* -1/2 (/ c b))> |
#<alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))> |
#<alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))> |
#<alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ 2/3 a)> |
#<alt (/ 2/3 a)> |
#<alt (/ 2/3 a)> |
#<alt (/ 2/3 a)> |
#<alt (/ 2/3 a)> |
#<alt (/ 2/3 a)> |
#<alt (/ 2/3 a)> |
#<alt (/ 2/3 a)> |
#<alt (/ 2/3 a)> |
#<alt (/ 2/3 a)> |
#<alt (/ 2/3 a)> |
#<alt (/ 2/3 a)> |
129 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | b | @ | 0 | (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) |
| 27.0ms | b | @ | 0 | (- b (sqrt (+ (* a (* -3 c)) (* b b)))) |
| 2.0ms | c | @ | -inf | (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) |
| 2.0ms | c | @ | inf | (/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a) |
| 1.0ms | c | @ | 0 | (* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b)) |
| 1× | batch-egg-rewrite |
| 4 816× | lower-/.f32 |
| 4 800× | lower-/.f64 |
| 4 452× | lower-*.f32 |
| 4 436× | lower-*.f64 |
| 4 078× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 175 |
| 0 | 58 | 167 |
| 1 | 212 | 167 |
| 2 | 1558 | 167 |
| 0 | 8218 | 167 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) |
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
(*.f64 b #s(literal -2/3 binary64)) |
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) |
(fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) |
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)) |
(*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) |
(/.f64 c (*.f64 b (*.f64 b b))) |
(/.f64 #s(literal 2/3 binary64) a) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -3 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 3 binary64))) |
(-.f64 (/.f64 b (*.f64 a #s(literal -3 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -3 binary64)))) |
(-.f64 (/.f64 (/.f64 b a) #s(literal -3 binary64)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) a) #s(literal -3 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64))) (/.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64))) (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 a #s(literal -3 binary64)))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (neg.f64 (*.f64 a #s(literal -3 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) (neg.f64 a))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 #s(literal -3 binary64) (neg.f64 a)))) |
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (/.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 (*.f64 a #s(literal -3 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(neg.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 3 binary64))) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64))) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)) #s(literal 3 binary64)) |
(/.f64 (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 #s(literal -3 binary64) (neg.f64 a))) |
(/.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 (*.f64 a #s(literal -3 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))))) |
(/.f64 #s(literal -1/3 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal -3 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -3 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (neg.f64 (neg.f64 (*.f64 a #s(literal -3 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (neg.f64 (*.f64 #s(literal -3 binary64) (neg.f64 a)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (neg.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (neg.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) a) |
(/.f64 (*.f64 (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -1/3 binary64)) (neg.f64 a)) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -3 binary64)) a) |
(/.f64 (-.f64 (*.f64 b (*.f64 a #s(literal -3 binary64))) (*.f64 (*.f64 a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal -3 binary64)) (*.f64 #s(literal -3 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) a))) #s(literal 9 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -1/3 binary64))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -3 binary64))) (neg.f64 a)) |
(/.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 a #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 b (*.f64 a #s(literal -3 binary64))) (/.f64 b (*.f64 a #s(literal -3 binary64))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -3 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -3 binary64))) (*.f64 (/.f64 b (*.f64 a #s(literal -3 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -3 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 b a) #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) a) #s(literal -3 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 b a) #s(literal -3 binary64)) (/.f64 (/.f64 b a) #s(literal -3 binary64)) (fma.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) a) #s(literal -3 binary64)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) a) #s(literal -3 binary64)) (*.f64 (/.f64 (/.f64 b a) #s(literal -3 binary64)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) a) #s(literal -3 binary64)))))) |
(pow.f64 (*.f64 #s(literal -3 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal -3 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1/3 binary64))) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64))) |
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (neg.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a))) |
(*.f64 (neg.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64)))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)) |
(*.f64 (pow.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (pow.f64 (/.f64 #s(literal -3 binary64) (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 a))) |
(*.f64 (/.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -3 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a)) |
(*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) a) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -3 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal -3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a)) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) a) (/.f64 (-.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -3 binary64))) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal -3 binary64)) (/.f64 (-.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a)) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -3 binary64))) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -3 binary64)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(*.f64 (/.f64 (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) a)) |
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(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 b (*.f64 b b)) c)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b (*.f64 b b)) c))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) c) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) (/.f64 c b)))) |
(/.f64 (/.f64 c b) (*.f64 b b)) |
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 (*.f64 b (*.f64 b b))))) |
(/.f64 (neg.f64 (/.f64 c b)) (*.f64 b (neg.f64 b))) |
(/.f64 (/.f64 c (*.f64 b b)) b) |
(/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 b (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 c b) b) b) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (neg.f64 (neg.f64 (neg.f64 (*.f64 b (*.f64 b b)))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 c b))) (neg.f64 (*.f64 b (neg.f64 b)))) |
(/.f64 (neg.f64 (/.f64 c (*.f64 b b))) (neg.f64 b)) |
(/.f64 (neg.f64 (*.f64 c #s(literal 1 binary64))) (neg.f64 (*.f64 b (*.f64 b b)))) |
(/.f64 (neg.f64 (/.f64 (/.f64 c b) b)) (neg.f64 b)) |
(pow.f64 (/.f64 (*.f64 b (*.f64 b b)) c) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) c) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 b b) (/.f64 c b)) #s(literal -1 binary64)) |
(*.f64 c (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b)))) |
(*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 b (*.f64 b b))))) |
(*.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 c (*.f64 b b))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) c) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 c b)) |
(*.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 c (*.f64 b (neg.f64 b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b b)) (/.f64 c (neg.f64 b))) |
(*.f64 (/.f64 c (pow.f64 b #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 a #s(literal 3/2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -2/3 binary64) a)) |
(/.f64 #s(literal -2/3 binary64) (neg.f64 a)) |
(/.f64 #s(literal -2/3 binary64) (neg.f64 (neg.f64 (neg.f64 a)))) |
(/.f64 #s(literal 2/3 binary64) a) |
(/.f64 #s(literal 2/3 binary64) (neg.f64 (neg.f64 a))) |
(/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 a #s(literal 3/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 a #s(literal 3/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal 3/2 binary64)) #s(literal 1 binary64)))) |
(pow.f64 (*.f64 a #s(literal 3/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 a #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 a))) |
(*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 2/3 binary64)) |
| 1× | egg-herbie |
| 10 362× | lower-fma.f64 |
| 10 362× | lower-fma.f32 |
| 7 698× | lower-*.f64 |
| 7 698× | lower-*.f32 |
| 5 630× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1008 | 9184 |
| 1 | 3248 | 9121 |
| 0 | 8344 | 8702 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a)) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (/ 1 a)))) |
(* 3/2 (/ c b)) |
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b) |
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b) |
(* 2 (/ b a)) |
(* -1 (* b (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (* 3/2 (/ c (pow b 2)))) (* 2 (/ 1 a))))) |
(* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 3/2 (/ c (pow b 2))) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))))) (* 2 (/ 1 a))))) |
(* 3/2 (/ c b)) |
(+ (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b))) |
(+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5)))))) |
(+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 27/16 (/ (pow c 3) (pow b 5)))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a)) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)))) |
(* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) |
(+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)) |
(+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* 3/2 (/ c b)) |
(* c (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* 27/16 (/ (* (pow a 2) c) (pow b 5))))) (* 3/2 (/ 1 b)))) |
(* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* c (+ (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 27/16 (/ (pow a 2) (pow b 5))))))) (* 3/2 (/ 1 b)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (/ b (* a c)))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b (* a c))))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b (* a c)))))) |
(* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b a)) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (/ b a)) c))))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(- b (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3))) |
(* 3/2 (/ (* a c) b)) |
(/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b) |
(/ (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
(* 2 b) |
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 3/2 (/ (* a c) b)) |
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* 3/2 (/ (* a c) b)) |
(* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 (/ b a)) |
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) |
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) |
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) |
(* 1/2 (/ c b)) |
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))) |
(* 1/2 (/ c b)) |
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(* 1/2 (/ c b)) |
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b) |
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b) |
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b) |
(* -2/3 (/ b a)) |
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))) |
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))) |
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -2/3 (/ b a)) |
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a) |
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a) |
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a) |
(* 1/2 (/ c b)) |
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) |
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) |
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) |
(* 1/2 (/ c b)) |
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) |
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) |
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) |
(/ 2/3 a) |
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))) |
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))) |
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))) |
(* -1/2 (/ c (pow b 2))) |
(* c (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))) |
(* c (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))) |
(* c (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))) |
(* -1/2 (/ c (pow b 2))) |
(* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))) |
(* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))) |
(* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))) |
(* -1/2 (/ c (pow b 2))) |
(/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2)) |
(/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2)) |
(/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2)) |
(/ 2/3 a) |
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))) |
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))) |
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))) |
(/ 2/3 a) |
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))) |
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))) |
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))) |
(/ 2/3 a) |
(/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a) |
(/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a) |
(/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a) |
(* -1/2 (/ c (pow b 2))) |
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))) |
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))) |
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))) |
(* -1/2 (/ c (pow b 2))) |
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))) |
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))) |
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))) |
(/ -1/2 (pow b 2)) |
(/ -1/2 (pow b 2)) |
(/ -1/2 (pow b 2)) |
(/ -1/2 (pow b 2)) |
(/ -1/2 (pow b 2)) |
(/ -1/2 (pow b 2)) |
(/ -1/2 (pow b 2)) |
(/ -1/2 (pow b 2)) |
(/ -1/2 (pow b 2)) |
(/ -1/2 (pow b 2)) |
(/ -1/2 (pow b 2)) |
(/ -1/2 (pow b 2)) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* 2/3 (/ b a)) |
(* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))) |
(* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))) |
(* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* 1/2 (/ c b)) |
(* -1 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)) |
(* 2/3 (/ b a)) |
(/ (+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) a) |
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))) |
(+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))) |
(+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))) |
(+ (* -1 (/ (+ (* -1/3 b) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* 2/3 (/ b a)) |
(+ (* -1/2 (/ c b)) (* 2/3 (/ b a))) |
(+ (* 2/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(+ (* 2/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))) |
(* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c)))))) |
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)) |
(+ (* b (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* b (+ (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(* 2 (/ b a)) |
(* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))) |
(* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))) |
(* 3/2 (/ c b)) |
(* -1 (/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)) |
(* 2 (/ b a)) |
(/ (+ (* -3/2 (/ (* a c) b)) (* 2 b)) a) |
(/ (+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) a) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))) |
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (/ b a)) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 b) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) |
(* 2 (/ b a)) |
(+ (* -3/2 (/ c b)) (* 2 (/ b a))) |
(+ (* 2 (/ b a)) (* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))) |
(+ (* 2 (/ b a)) (* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c)))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c)))))) |
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b a)) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (/ b a)) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ b (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3))) |
(* 2 b) |
(* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* 3/2 (/ (* a c) b)) |
(* -1 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* 2 b) |
(+ (* -3/2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* 2 b) |
(+ (* -3/2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(* -3/8 (/ (* a c) (pow b 3))) |
(* a (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(* a (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(* a (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(* -3/8 (/ (* a c) (pow b 3))) |
(* -1 (* a (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(* -3/8 (/ (* a c) (pow b 3))) |
(* c (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* c (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* c (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* -3/8 (/ (* a c) (pow b 3))) |
(* -1 (* c (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))) |
(* -1 (* c (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))) |
(* -1 (* c (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))) |
(* -3/8 (/ (* a c) (pow b 3))) |
(/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 3)) |
(/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 3)) |
(/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 3)) |
(/ -1/2 b) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ -1/2 b) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(* -1/2 (/ c b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ 2/3 a) |
(/ 2/3 a) |
(/ 2/3 a) |
(/ 2/3 a) |
(/ 2/3 a) |
(/ 2/3 a) |
(/ 2/3 a) |
(/ 2/3 a) |
(/ 2/3 a) |
(/ 2/3 a) |
(/ 2/3 a) |
(/ 2/3 a) |
| Outputs |
|---|
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal -1/3 binary64) a)) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(fma.f64 b (fma.f64 b (fma.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal -1/3 binary64) a)) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)))) |
(* -1/2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) a) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) b) |
(* -2/3 (/ b a)) |
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) a))) (neg.f64 b)) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(neg.f64 (*.f64 b (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) a) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) a)))))) |
(* -1/2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b)) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) b)) a)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) b) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))) a)) a)) |
(* -1/2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) c) (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal -1/2 binary64) b))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1/2 binary64) b))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(*.f64 c (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c a))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(*.f64 c (fma.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c a)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
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b |
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b |
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
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(* (sqrt (* a c)) (sqrt -3)) |
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b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(fma.f64 (*.f64 b #s(literal -3/2 binary64)) (*.f64 a (/.f64 c (*.f64 b b))) b) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
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(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
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(* -1 b) |
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(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
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(* -2/3 (/ b a)) |
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(* -2/3 (/ b a)) |
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(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))) |
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(* 1/2 (/ c b)) |
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(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
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(* 1/2 (/ c b)) |
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(* 1/2 (/ c b)) |
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(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)) |
(* 1/2 (/ c b)) |
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(/ 2/3 a) |
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(*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b)))) |
(* -1/2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a b)) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a b)) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a b)) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) #s(literal 3/8 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 a b))) (neg.f64 a)) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) #s(literal 3/8 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 a b))) (neg.f64 a)) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) #s(literal 3/8 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 a b))) (neg.f64 a)) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b))) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))) |
(* -1/2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b) |
(* -1/2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal 3/8 binary64) (*.f64 c #s(literal 1/2 binary64))) (neg.f64 b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal 3/8 binary64) (*.f64 c #s(literal 1/2 binary64))) (neg.f64 b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal 3/8 binary64) (*.f64 c #s(literal 1/2 binary64))) (neg.f64 b)) |
(* -3/8 (/ c (pow b 3))) |
(*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -3/8 (/ c (pow b 3))) |
(*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -3/8 (/ c (pow b 3))) |
(*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -3/8 (/ c (pow b 3))) |
(*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -3/8 (/ c (pow b 3))) |
(*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -3/8 (/ c (pow b 3))) |
(*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -3/8 (/ c (pow b 3))) |
(*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -3/8 (/ c (pow b 3))) |
(*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -3/8 (/ c (pow b 3))) |
(*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -3/8 (/ c (pow b 3))) |
(*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -3/8 (/ c (pow b 3))) |
(*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -3/8 (/ c (pow b 3))) |
(*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -3/8 (/ c (pow b 3))) |
(*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -3/8 (/ c (pow b 3))) |
(*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -3/8 (/ c (pow b 3))) |
(*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -3/8 (/ c (pow b 3))) |
(*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -3/8 (/ c (pow b 3))) |
(*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -3/8 (/ c (pow b 3))) |
(*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -3/8 (/ c (pow b 3))) |
(*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -3/8 (/ c (pow b 3))) |
(*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -3/8 (/ c (pow b 3))) |
(*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -3/8 (/ c (pow b 3))) |
(*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -3/8 (/ c (pow b 3))) |
(*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -3/8 (/ c (pow b 3))) |
(*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(/ c (pow b 3)) |
(/.f64 c (*.f64 b (*.f64 b b))) |
(/ c (pow b 3)) |
(/.f64 c (*.f64 b (*.f64 b b))) |
(/ c (pow b 3)) |
(/.f64 c (*.f64 b (*.f64 b b))) |
(/ c (pow b 3)) |
(/.f64 c (*.f64 b (*.f64 b b))) |
(/ c (pow b 3)) |
(/.f64 c (*.f64 b (*.f64 b b))) |
(/ c (pow b 3)) |
(/.f64 c (*.f64 b (*.f64 b b))) |
(/ c (pow b 3)) |
(/.f64 c (*.f64 b (*.f64 b b))) |
(/ c (pow b 3)) |
(/.f64 c (*.f64 b (*.f64 b b))) |
(/ c (pow b 3)) |
(/.f64 c (*.f64 b (*.f64 b b))) |
(/ c (pow b 3)) |
(/.f64 c (*.f64 b (*.f64 b b))) |
(/ c (pow b 3)) |
(/.f64 c (*.f64 b (*.f64 b b))) |
(/ c (pow b 3)) |
(/.f64 c (*.f64 b (*.f64 b b))) |
(/ c (pow b 3)) |
(/.f64 c (*.f64 b (*.f64 b b))) |
(/ c (pow b 3)) |
(/.f64 c (*.f64 b (*.f64 b b))) |
(/ c (pow b 3)) |
(/.f64 c (*.f64 b (*.f64 b b))) |
(/ c (pow b 3)) |
(/.f64 c (*.f64 b (*.f64 b b))) |
(/ c (pow b 3)) |
(/.f64 c (*.f64 b (*.f64 b b))) |
(/ c (pow b 3)) |
(/.f64 c (*.f64 b (*.f64 b b))) |
(/ c (pow b 3)) |
(/.f64 c (*.f64 b (*.f64 b b))) |
(/ c (pow b 3)) |
(/.f64 c (*.f64 b (*.f64 b b))) |
(/ c (pow b 3)) |
(/.f64 c (*.f64 b (*.f64 b b))) |
(/ c (pow b 3)) |
(/.f64 c (*.f64 b (*.f64 b b))) |
(/ c (pow b 3)) |
(/.f64 c (*.f64 b (*.f64 b b))) |
(/ c (pow b 3)) |
(/.f64 c (*.f64 b (*.f64 b b))) |
(/ 2/3 a) |
(/.f64 #s(literal 2/3 binary64) a) |
(/ 2/3 a) |
(/.f64 #s(literal 2/3 binary64) a) |
(/ 2/3 a) |
(/.f64 #s(literal 2/3 binary64) a) |
(/ 2/3 a) |
(/.f64 #s(literal 2/3 binary64) a) |
(/ 2/3 a) |
(/.f64 #s(literal 2/3 binary64) a) |
(/ 2/3 a) |
(/.f64 #s(literal 2/3 binary64) a) |
(/ 2/3 a) |
(/.f64 #s(literal 2/3 binary64) a) |
(/ 2/3 a) |
(/.f64 #s(literal 2/3 binary64) a) |
(/ 2/3 a) |
(/.f64 #s(literal 2/3 binary64) a) |
(/ 2/3 a) |
(/.f64 #s(literal 2/3 binary64) a) |
(/ 2/3 a) |
(/.f64 #s(literal 2/3 binary64) a) |
(/ 2/3 a) |
(/.f64 #s(literal 2/3 binary64) a) |
Compiled 36 452 to 3 930 computations (89.2% saved)
32 alts after pruning (29 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 342 | 21 | 1 363 |
| Fresh | 6 | 8 | 14 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 350 | 32 | 1 382 |
| Status | Accuracy | Program |
|---|---|---|
| 34.6% | (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)) | |
| 26.1% | (/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 (*.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) | |
| 2.2% | (/.f64 (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) (*.f64 b #s(literal 2/3 binary64))) a) | |
| ✓ | 54.8% | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
| 34.6% | (/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) | |
| ▶ | 26.5% | (/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
| 35.4% | (/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64)) | |
| 54.7% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 54.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
| 32.3% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 54.7% | (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) a) |
| 11.3% | (/.f64 (*.f64 c #s(literal 1/2 binary64)) b) | |
| 35.5% | (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) | |
| 2.6% | (/.f64 (*.f64 b #s(literal 2/3 binary64)) a) | |
| ✓ | 34.5% | (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
| 34.5% | (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a)) | |
| 2.3% | (*.f64 (fma.f64 (/.f64 b a) #s(literal 2 binary64) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64)) | |
| ✓ | 31.1% | (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) |
| ▶ | 11.3% | (*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64)) |
| 11.2% | (*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (neg.f64 b)) | |
| 2.6% | (*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) #s(literal 1/3 binary64)) | |
| 11.3% | (*.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 c a) b)) a) #s(literal 1/3 binary64)) | |
| 34.5% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64))) | |
| 54.7% | (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) | |
| 34.5% | (*.f64 (/.f64 #s(literal -2/3 binary64) a) b) | |
| 54.7% | (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) | |
| 31.1% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 1/3 binary64)) | |
| 12.9% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal -1 binary64))) #s(literal 1/3 binary64)) | |
| 33.0% | (*.f64 c (fma.f64 (/.f64 (*.f64 c #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3/2 binary64))) (/.f64 a (pow.f64 b #s(literal 3/2 binary64))) (/.f64 #s(literal -1/2 binary64) b))) | |
| 26.5% | (*.f64 c (fma.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a)) (/.f64 #s(literal 1/2 binary64) b))) | |
| 33.8% | (*.f64 c (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)) b)) | |
| ▶ | 34.5% | (*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
Compiled 882 to 605 computations (31.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
| ✓ | cost-diff | 0 | (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) a) |
| ✓ | cost-diff | 0 | (*.f64 a c) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) |
| ✓ | cost-diff | 1344 | (/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | cost-diff | 0 | (*.f64 c #s(literal 3/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 b a) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) |
| ✓ | cost-diff | 0 | (neg.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) |
| 5 066× | lower-*.f32 |
| 5 046× | lower-*.f64 |
| 2 578× | lower-/.f32 |
| 2 566× | lower-/.f64 |
| 2 056× | lower--.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 192 |
| 0 | 58 | 193 |
| 1 | 98 | 188 |
| 2 | 185 | 186 |
| 3 | 493 | 182 |
| 4 | 1083 | 182 |
| 5 | 2734 | 182 |
| 6 | 3886 | 182 |
| 7 | 6391 | 182 |
| 0 | 8286 | 182 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) |
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) |
(*.f64 a #s(literal -3 binary64)) |
a |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
#s(literal -2/3 binary64) |
(/.f64 b a) |
b |
a |
(*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 c #s(literal 3/2 binary64)) b) |
(*.f64 c #s(literal 3/2 binary64)) |
c |
#s(literal 3/2 binary64) |
b |
#s(literal 1/3 binary64) |
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) |
(*.f64 (*.f64 a c) #s(literal -3/2 binary64)) |
(*.f64 a c) |
a |
c |
#s(literal -3/2 binary64) |
b |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) a) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) |
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
a |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
#s(literal -1/3 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64))) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) |
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) |
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) |
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
(*.f64 a #s(literal -3 binary64)) |
a |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
#s(literal -2/3 binary64) |
(/.f64 b a) |
b |
a |
(*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64)) |
(*.f64 c (/.f64 #s(literal 1/2 binary64) b)) |
(/.f64 (*.f64 c #s(literal 3/2 binary64)) b) |
(*.f64 c #s(literal 3/2 binary64)) |
c |
#s(literal 3/2 binary64) |
b |
#s(literal 1/3 binary64) |
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) |
(/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) |
(*.f64 (*.f64 a c) #s(literal -3/2 binary64)) |
(*.f64 a (*.f64 c #s(literal -3/2 binary64))) |
(*.f64 a c) |
a |
c |
#s(literal -3/2 binary64) |
b |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64))) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) |
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) |
b |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
a |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
#s(literal -1/3 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) |
| ✓ | accuracy | 93.0% | (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) a) |
| ✓ | accuracy | 81.2% | (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
| ✓ | accuracy | 67.2% | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 3 binary64) a) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) |
| ✓ | accuracy | 93.0% | (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) |
| ✓ | accuracy | 83.9% | (/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | accuracy | 100.0% | (*.f64 c #s(literal 3/2 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 b a) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) |
| ✓ | accuracy | 92.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | accuracy | 81.2% | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) |
| ✓ | accuracy | 67.2% | (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) |
| 49.0ms | 170× | 0 | valid |
| 25.0ms | 46× | 2 | valid |
| 13.0ms | 33× | 1 | valid |
| 5.0ms | 7× | 3 | valid |
Compiled 203 to 37 computations (81.8% saved)
ival-mult: 20.0ms (31.9% of total)ival-div: 12.0ms (19.1% of total)const: 9.0ms (14.4% of total)ival-add: 6.0ms (9.6% of total)ival-sqrt: 6.0ms (9.6% of total)adjust: 5.0ms (8% of total)ival-sub: 2.0ms (3.2% of total)exact: 1.0ms (1.6% of total)ival-neg: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))))> |
#<alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))> |
#<alt (neg.f64 b)> |
#<alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))> |
#<alt (*.f64 #s(literal -2/3 binary64) (/.f64 b a))> |
#<alt (/.f64 b a)> |
#<alt (*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64))> |
#<alt (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)> |
#<alt (*.f64 c #s(literal 3/2 binary64))> |
#<alt (/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))> |
#<alt (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)> |
#<alt (*.f64 (*.f64 a c) #s(literal -3/2 binary64))> |
#<alt (*.f64 a c)> |
#<alt (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) a)> |
#<alt (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64))> |
#<alt (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))> |
#<alt (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))> |
#<alt (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))> |
#<alt (*.f64 #s(literal 3 binary64) a)> |
| Outputs |
|---|
#<alt (* (sqrt (* a c)) (sqrt -3))> |
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)> |
#<alt (* -2 b)> |
#<alt (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))> |
#<alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))> |
#<alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -3))> |
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))> |
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))> |
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))> |
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))> |
#<alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))> |
#<alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -3))> |
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))> |
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))> |
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))> |
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))> |
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))> |
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))> |
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))> |
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))> |
#<alt (* -1/2 (/ c b))> |
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)> |
#<alt (* -2/3 (/ b a))> |
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))> |
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))> |
#<alt (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))> |
#<alt (* -1/2 (/ c b))> |
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))> |
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))> |
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))> |
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))> |
#<alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))> |
#<alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))> |
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))> |
#<alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))> |
#<alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))> |
#<alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))> |
#<alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))> |
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))> |
#<alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))> |
#<alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))> |
#<alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))> |
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt b> |
#<alt (+ b (* -3/2 (/ (* a c) b)))> |
#<alt (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -3))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))> |
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))> |
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#<alt (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))> |
#<alt (* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))> |
#<alt (* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))> |
#<alt (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))> |
#<alt (* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1/2 (/ (* a c) b))> |
#<alt (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))> |
#<alt (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))> |
#<alt (* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))> |
#<alt (* 1/3 (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))> |
#<alt (* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))> |
#<alt (* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))> |
#<alt (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (- b (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (* 3/2 (/ (* a c) b))> |
#<alt (/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b)> |
#<alt (/ (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)> |
#<alt (* 2 b)> |
#<alt (* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2)))> |
#<alt (* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))> |
#<alt (* -1 (* b (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt (* 3/2 (/ (* a c) b))> |
#<alt (* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b))))> |
#<alt (* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b))))> |
#<alt (* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3))))> |
#<alt (* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))> |
#<alt (* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))> |
#<alt (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))> |
#<alt (* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* 3/2 (/ (* a c) b))> |
#<alt (* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b))))> |
#<alt (* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))> |
#<alt (* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -3))))> |
#<alt (* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))> |
#<alt (* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))> |
#<alt (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))> |
#<alt (* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))> |
#<alt b> |
#<alt (+ b (* -3/2 (/ (* a c) b)))> |
#<alt (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -3))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))> |
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))> |
#<alt b> |
#<alt (+ b (* -3/2 (/ (* a c) b)))> |
#<alt (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -3))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))> |
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -3))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))> |
#<alt b> |
#<alt (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt (pow b 2)> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (* -3 (* a c))> |
#<alt (* a (+ (* -3 c) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -3 c) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -3 c) (/ (pow b 2) a)))> |
#<alt (* -3 (* a c))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))> |
#<alt (pow b 2)> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (* -3 (* a c))> |
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))> |
#<alt (* -3 (* a c))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))> |
#<alt (* -3 (* a c))> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (* 3 a)> |
#<alt (* 3 a)> |
#<alt (* 3 a)> |
#<alt (* 3 a)> |
#<alt (* 3 a)> |
#<alt (* 3 a)> |
#<alt (* 3 a)> |
#<alt (* 3 a)> |
#<alt (* 3 a)> |
#<alt (* 3 a)> |
#<alt (* 3 a)> |
#<alt (* 3 a)> |
135 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | c | @ | 0 | (/ (* (* a c) -3/2) b) |
| 1.0ms | c | @ | inf | (* (/ (* c 3/2) b) 1/3) |
| 1.0ms | a | @ | 0 | (/ (/ (* (* a c) -3/2) b) (* 3 a)) |
| 0.0ms | b | @ | 0 | (/ (* (* a c) -3/2) b) |
| 0.0ms | b | @ | inf | (/ (* (* a c) -3/2) b) |
| 1× | batch-egg-rewrite |
| 4 614× | lower-*.f32 |
| 4 594× | lower-*.f64 |
| 3 886× | lower-fma.f32 |
| 3 882× | lower-fma.f64 |
| 3 078× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 147 |
| 0 | 58 | 148 |
| 1 | 191 | 143 |
| 2 | 1102 | 140 |
| 0 | 9746 | 140 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(/.f64 b a) |
(*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 c #s(literal 3/2 binary64)) b) |
(*.f64 c #s(literal 3/2 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) |
(*.f64 (*.f64 a c) #s(literal -3/2 binary64)) |
(*.f64 a c) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) a) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) |
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) |
(*.f64 #s(literal 3 binary64) a) |
| Outputs |
|---|
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(+.f64 b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(+.f64 b (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) |
(+.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(+.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(+.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) b) |
(+.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) b) |
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(+.f64 (-.f64 b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(-.f64 b (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) |
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
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b |
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(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (sqrt.f64 (*.f64 (fma.f64 a (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a) (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a) (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) #s(literal 9 binary64))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 a (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a) (*.f64 b (*.f64 b (*.f64 b b))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a) (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (sqrt.f64 (fma.f64 a (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a) (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(/.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (sqrt.f64 (fma.f64 a (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a) (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64))) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)))))) (fma.f64 a (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a) (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 a (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a) (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 a (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a) (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a) (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 a (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 a (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (neg.f64 (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (neg.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) #s(literal 9 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) #s(literal 9 binary64))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) #s(literal 9 binary64))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) #s(literal 9 binary64))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) #s(literal 9 binary64))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) #s(literal 9 binary64))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) #s(literal 9 binary64))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (+.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) #s(literal 9 binary64))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 a (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a) (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (fma.f64 a (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(*.f64 (fma.f64 a (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a) (*.f64 b (*.f64 b (*.f64 b b)))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (neg.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) #s(literal 9 binary64))))))) |
(*.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a) (*.f64 b (*.f64 b (*.f64 b b))))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a) (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a) (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(-.f64 #s(literal 0 binary64) (*.f64 a #s(literal -3 binary64))) |
(neg.f64 (*.f64 a #s(literal -3 binary64))) |
(/.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 a #s(literal -3 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) |
(*.f64 a #s(literal 3 binary64)) |
(*.f64 #s(literal -3 binary64) (neg.f64 a)) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 a) #s(literal -3 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 a #s(literal -3 binary64))) |
| 1× | egg-herbie |
| 10 152× | lower-fma.f64 |
| 10 152× | lower-fma.f32 |
| 8 722× | lower-*.f64 |
| 8 722× | lower-*.f32 |
| 4 422× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 811 | 8727 |
| 1 | 2667 | 8672 |
| 0 | 8154 | 8325 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -3/2 (/ (* a c) b)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 c) |
(* 3/2 c) |
(* 3/2 c) |
(* 3/2 c) |
(* 3/2 c) |
(* 3/2 c) |
(* 3/2 c) |
(* 3/2 c) |
(* 3/2 c) |
(* 3/2 c) |
(* 3/2 c) |
(* 3/2 c) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))) |
(* -1/2 (/ (* a c) b)) |
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2/3 b) |
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1/2 (/ (* a c) b)) |
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1/2 (/ (* a c) b)) |
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(- b (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3))) |
(* 3/2 (/ (* a c) b)) |
(/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b) |
(/ (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
(* 2 b) |
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 3/2 (/ (* a c) b)) |
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* 3/2 (/ (* a c) b)) |
(* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -3 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* -3 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -3 (* a c)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* 3 a) |
(* 3 a) |
(* 3 a) |
(* 3 a) |
(* 3 a) |
(* 3 a) |
(* 3 a) |
(* 3 a) |
(* 3 a) |
(* 3 a) |
(* 3 a) |
(* 3 a) |
| Outputs |
|---|
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b)) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 b (fma.f64 (/.f64 b (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (*.f64 b (fma.f64 b (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c (*.f64 a (*.f64 c c))))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1 binary64)))) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/.f64 (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 b b)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 b b))))) b) |
(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(neg.f64 (*.f64 b (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 2 binary64)))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(neg.f64 (*.f64 b (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 2 binary64))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
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(* -1/2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) |
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(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
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(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
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(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
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(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 a (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) b) |
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(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
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b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 a (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) b) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
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(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
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(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
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(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
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(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c)))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c)))))) (neg.f64 c)) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (*.f64 (*.f64 b b) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c (*.f64 a (*.f64 c c))))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (sqrt.f64 #s(literal -3 binary64)))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c (*.f64 a (*.f64 c c))))))) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) |
b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(fma.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) b) b) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(*.f64 b (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64)) #s(literal 1 binary64)))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 b (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64)) #s(literal 1 binary64))))) |
(* -1 b) |
(neg.f64 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(neg.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) b) b)) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64)) #s(literal 1 binary64))) (neg.f64 b)) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64)) #s(literal 1 binary64)))) (neg.f64 b)) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(* -3 (* a c)) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a))) |
(* -3 (* a c)) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a)) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(* -3 (* a c)) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c))) |
(* -3 (* a c)) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(neg.f64 (*.f64 c (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(neg.f64 (*.f64 c (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(neg.f64 (*.f64 c (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)))) |
(* -3 (* a c)) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))) |
(* 3 a) |
(*.f64 a #s(literal 3 binary64)) |
(* 3 a) |
(*.f64 a #s(literal 3 binary64)) |
(* 3 a) |
(*.f64 a #s(literal 3 binary64)) |
(* 3 a) |
(*.f64 a #s(literal 3 binary64)) |
(* 3 a) |
(*.f64 a #s(literal 3 binary64)) |
(* 3 a) |
(*.f64 a #s(literal 3 binary64)) |
(* 3 a) |
(*.f64 a #s(literal 3 binary64)) |
(* 3 a) |
(*.f64 a #s(literal 3 binary64)) |
(* 3 a) |
(*.f64 a #s(literal 3 binary64)) |
(* 3 a) |
(*.f64 a #s(literal 3 binary64)) |
(* 3 a) |
(*.f64 a #s(literal 3 binary64)) |
(* 3 a) |
(*.f64 a #s(literal 3 binary64)) |
Compiled 43 329 to 3 661 computations (91.6% saved)
41 alts after pruning (36 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 748 | 23 | 1 771 |
| Fresh | 11 | 13 | 24 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 762 | 41 | 1 803 |
| Status | Accuracy | Program |
|---|---|---|
| 34.6% | (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)) | |
| 22.0% | (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 3 binary64)))) | |
| ✓ | 54.8% | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
| 34.6% | (/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) | |
| 54.7% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 32.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | 54.7% | (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) a) |
| 11.3% | (/.f64 (*.f64 c #s(literal 1/2 binary64)) b) | |
| 35.5% | (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) | |
| 2.6% | (/.f64 (*.f64 b #s(literal 2/3 binary64)) a) | |
| ✓ | 34.5% | (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
| 34.5% | (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a)) | |
| 35.4% | (/.f64 (*.f64 #s(literal 1/3 binary64) c) (*.f64 b #s(literal -2/3 binary64))) | |
| 11.3% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 c #s(literal 3/2 binary64))) #s(literal 1/3 binary64))) | |
| 35.4% | (/.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c #s(literal 3/2 binary64)))) | |
| ✓ | 31.1% | (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) |
| 35.4% | (*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64)) | |
| 11.3% | (*.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 c #s(literal 3/2 binary64))) | |
| ▶ | 54.7% | (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
| 34.5% | (*.f64 (/.f64 #s(literal -2/3 binary64) a) b) | |
| 54.7% | (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) | |
| ▶ | 11.3% | (*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64)) |
| 54.6% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -1/3 binary64)) | |
| 11.0% | (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 a c)) | |
| 11.3% | (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) c) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) | |
| 11.3% | (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)) c) #s(literal 1/3 binary64)) | |
| 28.1% | (*.f64 (*.f64 (*.f64 a c) #s(literal 1/3 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 a b))) | |
| 35.4% | (*.f64 (*.f64 c #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) b))) | |
| 2.6% | (*.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal -1 binary64) a)) | |
| 11.3% | (*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3/2 binary64) b)) c) | |
| 5.1% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 c #s(literal 3/2 binary64)))) #s(literal -1 binary64))) #s(literal 1/3 binary64)) | |
| 12.9% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal -1 binary64))) #s(literal 1/3 binary64)) | |
| 33.0% | (*.f64 c (fma.f64 (/.f64 (*.f64 c #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3/2 binary64))) (/.f64 a (pow.f64 b #s(literal 3/2 binary64))) (/.f64 #s(literal -1/2 binary64) b))) | |
| 33.8% | (*.f64 c (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)) b)) | |
| ▶ | 2.6% | (*.f64 #s(literal 2/3 binary64) (/.f64 b a)) |
| 22.3% | (*.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a)))) | |
| ✓ | 34.5% | (*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
| ▶ | 34.5% | (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b))) |
| 34.5% | (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) | |
| 19.0% | (*.f64 #s(literal -2/3 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))) | |
| 28.2% | (neg.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))) |
Compiled 1 032 to 743 computations (28% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
| ✓ | cost-diff | 0 | (neg.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 a b) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 a b)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 3/2 binary64) b) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) |
| ✓ | cost-diff | 320 | (*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 b a) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2/3 binary64) (/.f64 b a)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
| ✓ | cost-diff | 0 | (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/3 binary64) a) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
| 2 504× | lower-fma.f32 |
| 2 502× | lower-fma.f64 |
| 1 840× | lower-*.f32 |
| 1 820× | lower-*.f64 |
| 882× | div-sub |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 152 |
| 0 | 56 | 148 |
| 1 | 93 | 146 |
| 2 | 154 | 144 |
| 3 | 252 | 144 |
| 4 | 455 | 144 |
| 5 | 738 | 144 |
| 6 | 1303 | 144 |
| 7 | 2148 | 144 |
| 8 | 3912 | 144 |
| 9 | 4530 | 144 |
| 10 | 4747 | 144 |
| 11 | 4845 | 144 |
| 12 | 4884 | 144 |
| 13 | 4892 | 144 |
| 14 | 5288 | 144 |
| 15 | 5493 | 144 |
| 16 | 5591 | 144 |
| 17 | 5591 | 144 |
| 18 | 5591 | 144 |
| 19 | 5617 | 144 |
| 20 | 5629 | 144 |
| 21 | 5654 | 144 |
| 22 | 5665 | 144 |
| 23 | 5665 | 144 |
| 0 | 5665 | 144 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(/.f64 #s(literal -1/3 binary64) a) |
#s(literal -1/3 binary64) |
a |
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
(*.f64 #s(literal 2/3 binary64) (/.f64 b a)) |
#s(literal 2/3 binary64) |
(/.f64 b a) |
b |
a |
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 3/2 binary64) b) c) |
(/.f64 #s(literal 3/2 binary64) b) |
#s(literal 3/2 binary64) |
b |
c |
#s(literal 1/3 binary64) |
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b))) |
#s(literal -2/3 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 a b)) |
#s(literal 1 binary64) |
(/.f64 a b) |
a |
b |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) |
(neg.f64 b) |
b |
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
c |
(*.f64 a #s(literal -3 binary64)) |
a |
#s(literal -3 binary64) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (*.f64 a #s(literal -3 binary64))) |
(/.f64 #s(literal -1/3 binary64) a) |
#s(literal -1/3 binary64) |
a |
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) |
b |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
(*.f64 #s(literal 2/3 binary64) (/.f64 b a)) |
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a) |
#s(literal 2/3 binary64) |
(/.f64 b a) |
b |
a |
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b) |
(*.f64 (/.f64 #s(literal 3/2 binary64) b) c) |
(*.f64 c (/.f64 #s(literal 3/2 binary64) b)) |
(/.f64 #s(literal 3/2 binary64) b) |
#s(literal 3/2 binary64) |
b |
c |
#s(literal 1/3 binary64) |
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b))) |
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
#s(literal -2/3 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 a b)) |
(/.f64 b a) |
#s(literal 1 binary64) |
(/.f64 a b) |
a |
b |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 a #s(literal 3 binary64))) |
(+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) |
(-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) |
(neg.f64 b) |
b |
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
c |
(*.f64 a #s(literal -3 binary64)) |
a |
#s(literal -3 binary64) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (neg.f64 b) |
| ✓ | accuracy | 99.8% | (*.f64 c (*.f64 a #s(literal -3 binary64))) |
| ✓ | accuracy | 99.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | accuracy | 84.6% | (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 a b) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b))) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1 binary64) (/.f64 a b)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 3/2 binary64) b) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 b a) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 2/3 binary64) (/.f64 b a)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal -1/3 binary64) a) |
| ✓ | accuracy | 96.2% | (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
| ✓ | accuracy | 90.5% | (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
| ✓ | accuracy | 80.3% | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
| 34.0ms | 128× | 0 | valid |
| 21.0ms | 83× | 0 | invalid |
| 14.0ms | 29× | 2 | valid |
| 5.0ms | 14× | 1 | valid |
| 1.0ms | 2× | 3 | valid |
Compiled 158 to 36 computations (77.2% saved)
ival-mult: 16.0ms (30.3% of total)const: 12.0ms (22.7% of total)ival-div: 11.0ms (20.8% of total)ival-sqrt: 5.0ms (9.5% of total)ival-add: 3.0ms (5.7% of total)adjust: 2.0ms (3.8% of total)ival-sub: 2.0ms (3.8% of total)exact: 1.0ms (1.9% of total)ival-neg: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))> |
#<alt (/.f64 #s(literal -1/3 binary64) a)> |
#<alt (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))> |
#<alt (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))> |
#<alt (*.f64 #s(literal 2/3 binary64) (/.f64 b a))> |
#<alt (/.f64 b a)> |
#<alt (*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64))> |
#<alt (*.f64 (/.f64 #s(literal 3/2 binary64) b) c)> |
#<alt (/.f64 #s(literal 3/2 binary64) b)> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 a b))> |
#<alt (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))> |
#<alt (/.f64 a b)> |
#<alt (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))))> |
#<alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))> |
#<alt (neg.f64 b)> |
#<alt (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))> |
#<alt (*.f64 c (*.f64 a #s(literal -3 binary64)))> |
| Outputs |
|---|
#<alt (* -1/2 (/ c b))> |
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))> |
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))> |
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))> |
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))> |
#<alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))> |
#<alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))> |
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))> |
#<alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))> |
#<alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))> |
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))> |
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))> |
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))> |
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))> |
#<alt (* -1/2 (/ c b))> |
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)> |
#<alt (* -2/3 (/ b a))> |
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))> |
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))> |
#<alt (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))> |
#<alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))> |
#<alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))> |
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))> |
#<alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))> |
#<alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))> |
#<alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))> |
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (/ -1/3 a)> |
#<alt (/ -1/3 a)> |
#<alt (/ -1/3 a)> |
#<alt (/ -1/3 a)> |
#<alt (/ -1/3 a)> |
#<alt (/ -1/3 a)> |
#<alt (/ -1/3 a)> |
#<alt (/ -1/3 a)> |
#<alt (/ -1/3 a)> |
#<alt (/ -1/3 a)> |
#<alt (/ -1/3 a)> |
#<alt (/ -1/3 a)> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (- b (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (* 3/2 (/ (* a c) b))> |
#<alt (/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b)> |
#<alt (/ (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)> |
#<alt (* 2 b)> |
#<alt (* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2)))> |
#<alt (* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))> |
#<alt (* -1 (* b (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt (* 3/2 (/ (* a c) b))> |
#<alt (* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b))))> |
#<alt (* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b))))> |
#<alt (* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3))))> |
#<alt (* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))> |
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#<alt (* (sqrt (* a c)) (sqrt -3))> |
#<alt (* (sqrt (* a c)) (sqrt -3))> |
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -3 (* a c))> |
#<alt (* -3 (* a c))> |
#<alt (* -3 (* a c))> |
#<alt (* -3 (* a c))> |
#<alt (* -3 (* a c))> |
#<alt (* -3 (* a c))> |
#<alt (* -3 (* a c))> |
#<alt (* -3 (* a c))> |
#<alt (* -3 (* a c))> |
#<alt (* -3 (* a c))> |
#<alt (* -3 (* a c))> |
#<alt (* -3 (* a c))> |
#<alt (* -3 (* a c))> |
#<alt (* -3 (* a c))> |
#<alt (* -3 (* a c))> |
#<alt (* -3 (* a c))> |
#<alt (* -3 (* a c))> |
#<alt (* -3 (* a c))> |
#<alt (* -3 (* a c))> |
#<alt (* -3 (* a c))> |
#<alt (* -3 (* a c))> |
#<alt (* -3 (* a c))> |
#<alt (* -3 (* a c))> |
#<alt (* -3 (* a c))> |
108 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | 0 | (/ (+ (neg b) (sqrt (* c (* a -3)))) (* 3 a)) |
| 1.0ms | c | @ | 0 | (/ (+ (neg b) (sqrt (* c (* a -3)))) (* 3 a)) |
| 1.0ms | a | @ | 0 | (/ (+ (neg b) (sqrt (* c (* a -3)))) (* 3 a)) |
| 0.0ms | c | @ | 0 | (+ (neg b) (sqrt (* c (* a -3)))) |
| 0.0ms | b | @ | inf | (/ (+ (neg b) (sqrt (* c (* a -3)))) (* 3 a)) |
| 1× | batch-egg-rewrite |
| 7 316× | lower-fma.f32 |
| 7 314× | lower-fma.f64 |
| 5 002× | lower-*.f32 |
| 4 982× | lower-*.f64 |
| 2 790× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 111 |
| 0 | 56 | 107 |
| 1 | 171 | 105 |
| 2 | 1077 | 102 |
| 0 | 9689 | 99 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(/.f64 #s(literal -1/3 binary64) a) |
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(*.f64 #s(literal 2/3 binary64) (/.f64 b a)) |
(/.f64 b a) |
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 3/2 binary64) b) c) |
(/.f64 #s(literal 3/2 binary64) b) |
(/.f64 #s(literal 1 binary64) (/.f64 a b)) |
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b))) |
(/.f64 a b) |
(+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 b) |
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) a) b) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(+.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 (/.f64 #s(literal -1/3 binary64) a) b)) |
(+.f64 (/.f64 b (*.f64 a #s(literal -3 binary64))) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64)))) |
(+.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64))) (/.f64 b (*.f64 a #s(literal -3 binary64)))) |
(-.f64 (/.f64 b (*.f64 a #s(literal -3 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -3 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64))) (/.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64))) (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64)))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) a) b (*.f64 (/.f64 #s(literal -1/3 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 (/.f64 #s(literal -1/3 binary64) a) b)) |
(fma.f64 b (/.f64 #s(literal -1/3 binary64) a) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64)))) |
(fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64)))) |
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal -1/3 binary64) a) (/.f64 b (*.f64 a #s(literal -3 binary64)))) |
(fma.f64 (*.f64 b #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64)))) |
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 a #s(literal -3 binary64)))) |
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (/.f64 b (*.f64 a #s(literal -3 binary64)))) |
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) a) (/.f64 b (*.f64 a #s(literal -3 binary64)))) |
(fma.f64 (*.f64 b #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) a) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64)))) |
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) a) (/.f64 b (*.f64 a #s(literal -3 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) a) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 (/.f64 #s(literal -1/3 binary64) a) b)) |
(neg.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 3 binary64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(neg.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) |
(neg.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 a))) |
(neg.f64 (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) a)) |
(/.f64 #s(literal -1/3 binary64) (*.f64 a (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(/.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a)) |
(/.f64 (/.f64 #s(literal -1/3 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/3 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 #s(literal -1/3 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 #s(literal -1/3 binary64) (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 #s(literal -1/3 binary64) (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 a (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 1/3 binary64) (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 1/3 binary64) (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))) #s(literal -1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (neg.f64 a)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64))) (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (*.f64 (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) #s(literal -1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (neg.f64 a)) (*.f64 (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))) (*.f64 a #s(literal -3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) (*.f64 a #s(literal -3 binary64))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 #s(literal -1/3 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))) |
(/.f64 (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))) (*.f64 (*.f64 a #s(literal -3 binary64)) (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(/.f64 (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))) (*.f64 (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) (*.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))) (*.f64 a (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
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(*.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) a) #s(literal 1/3 binary64)) |
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(*.f64 (*.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a)) |
b |
(+.f64 #s(literal 0 binary64) b) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) b) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))) b) |
(-.f64 (/.f64 #s(literal 0 binary64) b) b) |
(neg.f64 b) |
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(/.f64 b #s(literal -1 binary64)) |
(/.f64 (*.f64 b b) b) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) |
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(/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b b #s(literal 0 binary64))) |
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(pow.f64 b #s(literal 1 binary64)) |
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(*.f64 b #s(literal 1 binary64)) |
(*.f64 b #s(literal -1 binary64)) |
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 #s(literal 1 binary64) b) |
(*.f64 #s(literal -1 binary64) b) |
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(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64))) |
(+.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 0 binary64)) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))))) |
(fabs.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) |
(sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) |
(fma.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a #s(literal -3 binary64))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 #s(literal -3 binary64) c)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) c)) (sqrt.f64 a) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 a c)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sqrt.f64 c) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (sqrt.f64 c)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 c (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (sqrt.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (sqrt.f64 c)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (sqrt.f64 c))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 c (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (sqrt.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64)))) #s(literal 0 binary64)) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 a (*.f64 #s(literal -3 binary64) c)) #s(literal 0 binary64)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 0 binary64))) |
(pow.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 c (*.f64 (*.f64 (*.f64 a a) #s(literal 9 binary64)) c)) #s(literal 1/4 binary64)) |
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(*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a #s(literal -3 binary64)))) |
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(*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) c)) (sqrt.f64 a)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
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(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (sqrt.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))))) |
(*.f64 (sqrt.f64 (sqrt.f64 c)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (sqrt.f64 c)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 c (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (sqrt.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))))) |
(exp.f64 (log.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 (*.f64 (*.f64 a a) #s(literal 9 binary64)) c))) #s(literal 1/2 binary64))) |
(fabs.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) |
(sqrt.f64 (*.f64 c (*.f64 (*.f64 (*.f64 a a) #s(literal 9 binary64)) c))) |
(neg.f64 (*.f64 c (*.f64 a #s(literal 3 binary64)))) |
(/.f64 c (/.f64 #s(literal -1/3 binary64) a)) |
(pow.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 c (*.f64 (*.f64 (*.f64 a a) #s(literal 9 binary64)) c)) #s(literal 1/2 binary64)) |
(*.f64 a (*.f64 #s(literal -3 binary64) c)) |
(*.f64 a (pow.f64 (*.f64 #s(literal -3 binary64) c) #s(literal 1 binary64))) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 a c) #s(literal 1 binary64))) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(*.f64 (*.f64 #s(literal -3 binary64) c) a) |
(*.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) |
(*.f64 (sqrt.f64 c) (*.f64 (*.f64 a #s(literal -3 binary64)) (sqrt.f64 c))) |
(*.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 #s(literal -3 binary64) c))))) |
(*.f64 (*.f64 a #s(literal -3 binary64)) c) |
(*.f64 (*.f64 a c) #s(literal -3 binary64)) |
(*.f64 (sqrt.f64 a) (pow.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) c)) (pow.f64 (*.f64 a (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) c)) (sqrt.f64 (*.f64 a (*.f64 a (*.f64 #s(literal -3 binary64) c))))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 a c)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 a c)))) |
(*.f64 (sqrt.f64 (*.f64 c (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (sqrt.f64 (*.f64 a #s(literal -3 binary64)))) |
(*.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (sqrt.f64 c)) (sqrt.f64 c)) |
(*.f64 (pow.f64 (sqrt.f64 a) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) c)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) c)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 a) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 a c)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -3 binary64) c) #s(literal 1 binary64)) a) |
(*.f64 (pow.f64 (*.f64 a c) #s(literal 1 binary64)) #s(literal -3 binary64)) |
(*.f64 (pow.f64 (sqrt.f64 c) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (sqrt.f64 c)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 c (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a) #s(literal 1/2 binary64)) (sqrt.f64 a)) |
(*.f64 (pow.f64 (*.f64 a (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal -3 binary64) c))) |
(*.f64 (pow.f64 (*.f64 a a) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a a) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 9 binary64) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 a c)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a)) (sqrt.f64 a)) |
(*.f64 (sqrt.f64 (*.f64 a (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) c))) |
(*.f64 (sqrt.f64 (*.f64 a a)) (sqrt.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64))) (sqrt.f64 (*.f64 a a))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 a c))) (sqrt.f64 #s(literal -3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 a)) (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) c)) (sqrt.f64 (*.f64 #s(literal -3 binary64) c)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) c)) (sqrt.f64 (*.f64 #s(literal -3 binary64) c))) (*.f64 (sqrt.f64 a) (sqrt.f64 a))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) (pow.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 c #s(literal -1 binary64)) (*.f64 a #s(literal 3 binary64))) |
(*.f64 (*.f64 c #s(literal 3 binary64)) (neg.f64 a)) |
(*.f64 (*.f64 c (neg.f64 a)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 a)) (sqrt.f64 (*.f64 #s(literal -3 binary64) c))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 a)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 (*.f64 a c))) (sqrt.f64 #s(literal -3 binary64))) |
(*.f64 (*.f64 c (sqrt.f64 (*.f64 a #s(literal -3 binary64)))) (sqrt.f64 (*.f64 a #s(literal -3 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 c (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (sqrt.f64 a)) (sqrt.f64 #s(literal -3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 c (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 a)) |
| 1× | egg-herbie |
| 10 190× | lower-fma.f64 |
| 10 190× | lower-fma.f32 |
| 8 172× | lower-*.f64 |
| 8 172× | lower-*.f32 |
| 2 964× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 609 | 5170 |
| 1 | 1929 | 5143 |
| 2 | 6559 | 5091 |
| 0 | 8045 | 4924 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(- b (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3))) |
(* 3/2 (/ (* a c) b)) |
(/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b) |
(/ (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
(* 2 b) |
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 3/2 (/ (* a c) b)) |
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* 3/2 (/ (* a c) b)) |
(* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(* 2/3 (/ b a)) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 1/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(* 3/2 (/ c b)) |
(/ 3/2 b) |
(/ 3/2 b) |
(/ 3/2 b) |
(/ 3/2 b) |
(/ 3/2 b) |
(/ 3/2 b) |
(/ 3/2 b) |
(/ 3/2 b) |
(/ 3/2 b) |
(/ 3/2 b) |
(/ 3/2 b) |
(/ 3/2 b) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(* -1 b) |
(* b (- (* (sqrt (* a c)) (/ (sqrt -3) b)) 1)) |
(* b (- (* (sqrt (* a c)) (/ (sqrt -3) b)) 1)) |
(* b (- (* (sqrt (* a c)) (/ (sqrt -3) b)) 1)) |
(* -1 b) |
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -3) b)))))) |
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -3) b)))))) |
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -3) b)))))) |
(- (* (sqrt (* a c)) (sqrt -3)) b) |
(- (* (sqrt (* a c)) (sqrt -3)) b) |
(- (* (sqrt (* a c)) (sqrt -3)) b) |
(- (* (sqrt (* a c)) (sqrt -3)) b) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(- (* (sqrt (* a c)) (sqrt -3)) b) |
(- (* (sqrt (* a c)) (sqrt -3)) b) |
(- (* (sqrt (* a c)) (sqrt -3)) b) |
(- (* (sqrt (* a c)) (sqrt -3)) b) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(* -1/3 (/ b a)) |
(* b (- (* 1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a)))) |
(* b (- (* 1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a)))) |
(* b (- (* 1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a)))) |
(* -1/3 (/ b a)) |
(* -1 (* b (+ (* -1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a))))) |
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a)) |
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a)) |
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a)) |
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a)) |
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a)) |
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a)) |
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* (sqrt (* a c)) (sqrt -3)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
| Outputs |
|---|
(* -1/2 (/ c b)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b (*.f64 b b)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (*.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (*.f64 a (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64)))) b)))) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a)) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/72 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 b #s(literal 1/3 binary64))) (neg.f64 a))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/3 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/72 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 3 binary64)))) a)) a)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a)) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64)) (/.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/72 binary64))) (/.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))) |
(* -1/2 (/ c b)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
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(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -3 binary64)))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -3)))) |
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(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
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(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
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b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b) b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
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(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
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(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
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b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b) b) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
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(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
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(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
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(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
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b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(fma.f64 b (*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64))) b) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
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(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(*.f64 a (neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b a)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(*.f64 a (neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b a)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(*.f64 a (neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b a)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a)) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a)) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a)) |
(* -1/3 (/ b a)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) b) a) |
(* b (- (* 1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a)))) |
(*.f64 b (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -3 binary64)) b)) (/.f64 #s(literal -1/3 binary64) a))) |
(* b (- (* 1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a)))) |
(*.f64 b (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -3 binary64)) b)) (/.f64 #s(literal -1/3 binary64) a))) |
(* b (- (* 1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a)))) |
(*.f64 b (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -3 binary64)) b)) (/.f64 #s(literal -1/3 binary64) a))) |
(* -1/3 (/ b a)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) b) a) |
(* -1 (* b (+ (* -1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a))))) |
(*.f64 (neg.f64 b) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 (sqrt.f64 #s(literal -3 binary64)) b) #s(literal -1/3 binary64)) (/.f64 #s(literal 1/3 binary64) a))) |
(* -1 (* b (+ (* -1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a))))) |
(*.f64 (neg.f64 b) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 (sqrt.f64 #s(literal -3 binary64)) b) #s(literal -1/3 binary64)) (/.f64 #s(literal 1/3 binary64) a))) |
(* -1 (* b (+ (* -1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a))))) |
(*.f64 (neg.f64 b) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 (sqrt.f64 #s(literal -3 binary64)) b) #s(literal -1/3 binary64)) (/.f64 #s(literal 1/3 binary64) a))) |
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b))) a) |
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b))) a) |
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b))) a) |
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b))) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c a))))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c a))))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c a))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(*.f64 (*.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(*.f64 (*.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(*.f64 (*.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a)))) |
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b))) a) |
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b))) a) |
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b))) a) |
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b))) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a)) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a)) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a)) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b a))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b a))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b a))) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
Compiled 26 318 to 2 905 computations (89% saved)
47 alts after pruning (41 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 319 | 22 | 1 341 |
| Fresh | 12 | 19 | 31 |
| Picked | 1 | 4 | 5 |
| Done | 3 | 2 | 5 |
| Total | 1 335 | 47 | 1 382 |
| Status | Accuracy | Program |
|---|---|---|
| 34.6% | (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)) | |
| 18.8% | (/.f64 (fma.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c) b) (*.f64 #s(literal 3 binary64) a)) | |
| 14.3% | (/.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) c)) (sqrt.f64 a) b) (*.f64 #s(literal 3 binary64) a)) | |
| 16.9% | (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 c)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (sqrt.f64 c))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 34.6% | (/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) | |
| 25.9% | (/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) a) #s(literal 3 binary64)) | |
| 54.7% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 32.3% | (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 26.0% | (/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) | |
| 32.3% | (/.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal -1/3 binary64)) a) | |
| 11.3% | (/.f64 (*.f64 c #s(literal 1/2 binary64)) b) | |
| 35.5% | (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) | |
| ✓ | 34.5% | (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
| 35.4% | (/.f64 (*.f64 #s(literal 1/3 binary64) c) (*.f64 b #s(literal -2/3 binary64))) | |
| 2.6% | (/.f64 b (*.f64 a #s(literal 3/2 binary64))) | |
| 34.5% | (/.f64 b (*.f64 a #s(literal -3/2 binary64))) | |
| 11.3% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 c #s(literal 3/2 binary64))) #s(literal 1/3 binary64))) | |
| 2.6% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) b) a)) | |
| 35.4% | (/.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c #s(literal 3/2 binary64)))) | |
| 25.9% | (*.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) a) #s(literal 1/3 binary64)) | |
| 35.4% | (*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64)) | |
| 35.3% | (*.f64 (/.f64 #s(literal 3/2 binary64) b) (/.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -1 binary64))) | |
| 2.6% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal 2/3 binary64))) | |
| 2.6% | (*.f64 (/.f64 #s(literal 2/3 binary64) a) b) | |
| 11.3% | (*.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 c #s(literal 3/2 binary64))) | |
| ✓ | 54.7% | (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
| 34.5% | (*.f64 (/.f64 #s(literal -2/3 binary64) a) b) | |
| 32.3% | (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal -1/3 binary64) a)) | |
| ✓ | 11.3% | (*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64)) |
| 11.3% | (*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) #s(literal 1/3 binary64)) c) | |
| 11.0% | (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 a c)) | |
| 32.3% | (*.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) | |
| 11.3% | (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) c) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) | |
| 11.3% | (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)) c) #s(literal 1/3 binary64)) | |
| 35.4% | (*.f64 (*.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) b)) | |
| 28.1% | (*.f64 (*.f64 (*.f64 a c) #s(literal 1/3 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 a b))) | |
| 35.4% | (*.f64 (*.f64 c #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) b))) | |
| 33.0% | (*.f64 c (fma.f64 (/.f64 (*.f64 c #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3/2 binary64))) (/.f64 a (pow.f64 b #s(literal 3/2 binary64))) (/.f64 #s(literal -1/2 binary64) b))) | |
| 33.8% | (*.f64 c (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)) b)) | |
| 2.6% | (*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) | |
| 34.4% | (*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))) | |
| ✓ | 2.6% | (*.f64 #s(literal 2/3 binary64) (/.f64 b a)) |
| 34.5% | (*.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b)) | |
| 22.3% | (*.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a)))) | |
| ✓ | 34.5% | (*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
| ✓ | 34.5% | (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b))) |
| 34.4% | (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))) |
Compiled 1 554 to 710 computations (54.3% saved)
| Inputs |
|---|
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(*.f64 #s(literal 2/3 binary64) (/.f64 b a)) |
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
(*.f64 (/.f64 #s(literal 2/3 binary64) a) b) |
(/.f64 b (*.f64 a #s(literal -3/2 binary64))) |
(/.f64 b (*.f64 a #s(literal 3/2 binary64))) |
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b) |
(*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) |
(*.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3/2 binary64) b)) c) |
(*.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) #s(literal 1/3 binary64)) c) |
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 c #s(literal 3/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal 2/3 binary64))) |
(*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) c) (*.f64 b #s(literal -2/3 binary64))) |
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 c #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) b))) |
(*.f64 (*.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)) c) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) c) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b))) |
(/.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c #s(literal 3/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) b) a)) |
(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64)) |
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) |
(neg.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))) |
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (neg.f64 b)) |
(*.f64 (*.f64 (*.f64 a c) #s(literal 1/3 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 a b))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))) |
(*.f64 (/.f64 #s(literal 3/2 binary64) b) (/.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 a c)) |
(*.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 c a) b)) a) #s(literal 1/3 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 c (fma.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a)) (/.f64 #s(literal 1/2 binary64) b))) |
(*.f64 (fma.f64 (/.f64 b a) #s(literal 2 binary64) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 c #s(literal 3/2 binary64))) #s(literal 1/3 binary64))) |
(/.f64 (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) (*.f64 b #s(literal 2/3 binary64))) a) |
(*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal -1/3 binary64) a)) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal -1/3 binary64)) a) |
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a)))) |
(*.f64 c (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)) b)) |
(/.f64 (+.f64 (neg.f64 b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) c)) (sqrt.f64 a) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -1/3 binary64)) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64))) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 3 binary64)) |
(/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 (*.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 c)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (sqrt.f64 c))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal -2/3 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 c #s(literal 3/2 binary64)))) #s(literal -1 binary64))) #s(literal 1/3 binary64)) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal -1 binary64))) #s(literal 1/3 binary64)) |
(*.f64 c (fma.f64 (/.f64 (*.f64 c #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3/2 binary64))) (/.f64 a (pow.f64 b #s(literal 3/2 binary64))) (/.f64 #s(literal -1/2 binary64) b))) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
5 calls:
| 31.0ms | c |
| 30.0ms | b |
| 25.0ms | a |
| 24.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 23.0ms | (*.f64 #s(literal 3 binary64) a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.2% | 3 | a |
| 85.0% | 3 | b |
| 56.6% | 2 | c |
| 78.2% | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 59.2% | 3 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(*.f64 #s(literal 2/3 binary64) (/.f64 b a)) |
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
(*.f64 (/.f64 #s(literal 2/3 binary64) a) b) |
(/.f64 b (*.f64 a #s(literal -3/2 binary64))) |
(/.f64 b (*.f64 a #s(literal 3/2 binary64))) |
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b) |
(*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) |
(*.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3/2 binary64) b)) c) |
(*.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) #s(literal 1/3 binary64)) c) |
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 c #s(literal 3/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal 2/3 binary64))) |
(*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) c) (*.f64 b #s(literal -2/3 binary64))) |
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 c #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) b))) |
(*.f64 (*.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)) c) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) c) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b))) |
(/.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c #s(literal 3/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) b) a)) |
(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64)) |
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) |
(neg.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))) |
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (neg.f64 b)) |
(*.f64 (*.f64 (*.f64 a c) #s(literal 1/3 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 a b))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))) |
(*.f64 (/.f64 #s(literal 3/2 binary64) b) (/.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 a c)) |
(*.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 c a) b)) a) #s(literal 1/3 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 c (fma.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a)) (/.f64 #s(literal 1/2 binary64) b))) |
(*.f64 (fma.f64 (/.f64 b a) #s(literal 2 binary64) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 c #s(literal 3/2 binary64))) #s(literal 1/3 binary64))) |
(/.f64 (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) (*.f64 b #s(literal 2/3 binary64))) a) |
(*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal -1/3 binary64) a)) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal -1/3 binary64)) a) |
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a)))) |
(*.f64 c (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)) b)) |
(/.f64 (+.f64 (neg.f64 b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) c)) (sqrt.f64 a) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -1/3 binary64)) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64))) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
1 calls:
| 24.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.0% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(*.f64 #s(literal 2/3 binary64) (/.f64 b a)) |
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
(*.f64 (/.f64 #s(literal 2/3 binary64) a) b) |
(/.f64 b (*.f64 a #s(literal -3/2 binary64))) |
(/.f64 b (*.f64 a #s(literal 3/2 binary64))) |
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b) |
(*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) |
(*.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3/2 binary64) b)) c) |
(*.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) #s(literal 1/3 binary64)) c) |
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 c #s(literal 3/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal 2/3 binary64))) |
(*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) c) (*.f64 b #s(literal -2/3 binary64))) |
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 c #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) b))) |
(*.f64 (*.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)) c) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) c) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b))) |
(/.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c #s(literal 3/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) b) a)) |
(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64)) |
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) |
(neg.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))) |
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (neg.f64 b)) |
(*.f64 (*.f64 (*.f64 a c) #s(literal 1/3 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 a b))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))) |
(*.f64 (/.f64 #s(literal 3/2 binary64) b) (/.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 a c)) |
(*.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 c a) b)) a) #s(literal 1/3 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 c (fma.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a)) (/.f64 #s(literal 1/2 binary64) b))) |
(*.f64 (fma.f64 (/.f64 b a) #s(literal 2 binary64) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 c #s(literal 3/2 binary64))) #s(literal 1/3 binary64))) |
(/.f64 (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) (*.f64 b #s(literal 2/3 binary64))) a) |
(*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal -1/3 binary64) a)) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal -1/3 binary64)) a) |
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a)))) |
(*.f64 c (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)) b)) |
(/.f64 (+.f64 (neg.f64 b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) a) #s(literal 3 binary64)) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
1 calls:
| 19.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.0% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(*.f64 #s(literal 2/3 binary64) (/.f64 b a)) |
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
(*.f64 (/.f64 #s(literal 2/3 binary64) a) b) |
(/.f64 b (*.f64 a #s(literal -3/2 binary64))) |
(/.f64 b (*.f64 a #s(literal 3/2 binary64))) |
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b) |
(*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) |
(*.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3/2 binary64) b)) c) |
(*.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) #s(literal 1/3 binary64)) c) |
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 c #s(literal 3/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal 2/3 binary64))) |
(*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) c) (*.f64 b #s(literal -2/3 binary64))) |
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 c #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) b))) |
(*.f64 (*.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)) c) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) c) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b))) |
(/.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c #s(literal 3/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) b) a)) |
(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64)) |
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) |
(neg.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))) |
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (neg.f64 b)) |
(*.f64 (*.f64 (*.f64 a c) #s(literal 1/3 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 a b))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))) |
(*.f64 (/.f64 #s(literal 3/2 binary64) b) (/.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 a c)) |
(*.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 c a) b)) a) #s(literal 1/3 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 c (fma.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a)) (/.f64 #s(literal 1/2 binary64) b))) |
(*.f64 (fma.f64 (/.f64 b a) #s(literal 2 binary64) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 c #s(literal 3/2 binary64))) #s(literal 1/3 binary64))) |
(/.f64 (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) (*.f64 b #s(literal 2/3 binary64))) a) |
(*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal -1/3 binary64) a)) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal -1/3 binary64)) a) |
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a)))) |
(*.f64 c (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)) b)) |
(/.f64 (+.f64 (neg.f64 b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) |
| Outputs |
|---|
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
1 calls:
| 17.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.6% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(*.f64 #s(literal 2/3 binary64) (/.f64 b a)) |
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
(*.f64 (/.f64 #s(literal 2/3 binary64) a) b) |
(/.f64 b (*.f64 a #s(literal -3/2 binary64))) |
(/.f64 b (*.f64 a #s(literal 3/2 binary64))) |
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b) |
(*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) |
(*.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3/2 binary64) b)) c) |
(*.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) #s(literal 1/3 binary64)) c) |
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 c #s(literal 3/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal 2/3 binary64))) |
(*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) c) (*.f64 b #s(literal -2/3 binary64))) |
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 c #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) b))) |
(*.f64 (*.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)) c) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) c) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b))) |
(/.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c #s(literal 3/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) b) a)) |
(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64)) |
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) |
(neg.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))) |
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (neg.f64 b)) |
(*.f64 (*.f64 (*.f64 a c) #s(literal 1/3 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 a b))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))) |
(*.f64 (/.f64 #s(literal 3/2 binary64) b) (/.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 a c)) |
(*.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 c a) b)) a) #s(literal 1/3 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 c (fma.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a)) (/.f64 #s(literal 1/2 binary64) b))) |
(*.f64 (fma.f64 (/.f64 b a) #s(literal 2 binary64) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 c #s(literal 3/2 binary64))) #s(literal 1/3 binary64))) |
(/.f64 (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) (*.f64 b #s(literal 2/3 binary64))) a) |
(*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal -1/3 binary64) a)) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal -1/3 binary64)) a) |
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) |
(*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal -1/3 binary64) a)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
1 calls:
| 16.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.5% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(*.f64 #s(literal 2/3 binary64) (/.f64 b a)) |
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
(*.f64 (/.f64 #s(literal 2/3 binary64) a) b) |
(/.f64 b (*.f64 a #s(literal -3/2 binary64))) |
(/.f64 b (*.f64 a #s(literal 3/2 binary64))) |
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b) |
(*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) |
(*.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3/2 binary64) b)) c) |
(*.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) #s(literal 1/3 binary64)) c) |
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 c #s(literal 3/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal 2/3 binary64))) |
(*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) c) (*.f64 b #s(literal -2/3 binary64))) |
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 c #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) b))) |
(*.f64 (*.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)) c) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) c) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b))) |
(/.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c #s(literal 3/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) b) a)) |
(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64)) |
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) |
(neg.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))) |
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (neg.f64 b)) |
(*.f64 (*.f64 (*.f64 a c) #s(literal 1/3 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 a b))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))) |
(*.f64 (/.f64 #s(literal 3/2 binary64) b) (/.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 a c)) |
(*.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 c a) b)) a) #s(literal 1/3 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 c (fma.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a)) (/.f64 #s(literal 1/2 binary64) b))) |
(*.f64 (fma.f64 (/.f64 b a) #s(literal 2 binary64) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 c #s(literal 3/2 binary64))) #s(literal 1/3 binary64))) |
(/.f64 (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) (*.f64 b #s(literal 2/3 binary64))) a) |
(*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal -1/3 binary64) a)) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal -1/3 binary64)) a) |
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) b) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)) |
(*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal -1/3 binary64) a)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
1 calls:
| 15.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.5% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(*.f64 #s(literal 2/3 binary64) (/.f64 b a)) |
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
(*.f64 (/.f64 #s(literal 2/3 binary64) a) b) |
(/.f64 b (*.f64 a #s(literal -3/2 binary64))) |
(/.f64 b (*.f64 a #s(literal 3/2 binary64))) |
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b) |
(*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) |
(*.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3/2 binary64) b)) c) |
(*.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) #s(literal 1/3 binary64)) c) |
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 c #s(literal 3/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal 2/3 binary64))) |
(*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) c) (*.f64 b #s(literal -2/3 binary64))) |
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 c #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) b))) |
(*.f64 (*.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)) c) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) c) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b))) |
(/.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c #s(literal 3/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) b) a)) |
(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64)) |
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) |
(neg.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))) |
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (neg.f64 b)) |
(*.f64 (*.f64 (*.f64 a c) #s(literal 1/3 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 a b))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))) |
(*.f64 (/.f64 #s(literal 3/2 binary64) b) (/.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 a c)) |
(*.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 c a) b)) a) #s(literal 1/3 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 c (fma.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a)) (/.f64 #s(literal 1/2 binary64) b))) |
(*.f64 (fma.f64 (/.f64 b a) #s(literal 2 binary64) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 c #s(literal 3/2 binary64))) #s(literal 1/3 binary64))) |
(/.f64 (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) (*.f64 b #s(literal 2/3 binary64))) a) |
| Outputs |
|---|
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
2 calls:
| 14.0ms | b |
| 12.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.0% | 3 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 67.8% | 2 | b |
Compiled 24 to 15 computations (37.5% saved)
| Inputs |
|---|
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(*.f64 #s(literal 2/3 binary64) (/.f64 b a)) |
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
(*.f64 (/.f64 #s(literal 2/3 binary64) a) b) |
(/.f64 b (*.f64 a #s(literal -3/2 binary64))) |
(/.f64 b (*.f64 a #s(literal 3/2 binary64))) |
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b) |
(*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) |
(*.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3/2 binary64) b)) c) |
(*.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) #s(literal 1/3 binary64)) c) |
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 c #s(literal 3/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal 2/3 binary64))) |
(*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) c) (*.f64 b #s(literal -2/3 binary64))) |
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 c #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) b))) |
(*.f64 (*.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)) c) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) c) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b))) |
(/.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c #s(literal 3/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) b) a)) |
(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64)) |
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) |
(neg.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))) |
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (neg.f64 b)) |
(*.f64 (*.f64 (*.f64 a c) #s(literal 1/3 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 a b))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a))) |
(*.f64 (/.f64 #s(literal 3/2 binary64) b) (/.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -1 binary64))) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
1 calls:
| 12.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.6% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(*.f64 #s(literal 2/3 binary64) (/.f64 b a)) |
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
(*.f64 (/.f64 #s(literal 2/3 binary64) a) b) |
(/.f64 b (*.f64 a #s(literal -3/2 binary64))) |
(/.f64 b (*.f64 a #s(literal 3/2 binary64))) |
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b) |
(*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b)) |
(*.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3/2 binary64) b)) c) |
(*.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) #s(literal 1/3 binary64)) c) |
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 c #s(literal 3/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal 2/3 binary64))) |
(*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) c) (*.f64 b #s(literal -2/3 binary64))) |
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 c #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) b))) |
(*.f64 (*.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)) c) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) c) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b))) |
(/.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c #s(literal 3/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) b) a)) |
(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64)) |
| Outputs |
|---|
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
1 calls:
| 9.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.6% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(*.f64 #s(literal 2/3 binary64) (/.f64 b a)) |
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
(*.f64 (/.f64 #s(literal 2/3 binary64) a) b) |
(/.f64 b (*.f64 a #s(literal -3/2 binary64))) |
(/.f64 b (*.f64 a #s(literal 3/2 binary64))) |
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a) |
| Outputs |
|---|
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
5 calls:
| 7.0ms | (*.f64 #s(literal 3 binary64) a) |
| 3.0ms | a |
| 3.0ms | b |
| 3.0ms | c |
| 3.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.5% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 34.5% | 1 | c |
| 34.5% | 1 | a |
| 34.5% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 34.5% | 1 | b |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(*.f64 #s(literal 2/3 binary64) (/.f64 b a)) |
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
(*.f64 (/.f64 #s(literal 2/3 binary64) a) b) |
(/.f64 b (*.f64 a #s(literal -3/2 binary64))) |
(/.f64 b (*.f64 a #s(literal 3/2 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
5 calls:
| 4.0ms | b |
| 3.0ms | c |
| 3.0ms | (*.f64 #s(literal 3 binary64) a) |
| 2.0ms | a |
| 2.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.5% | 1 | b |
| 34.5% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 34.5% | 1 | c |
| 34.5% | 1 | a |
| 34.5% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
Total -21.0b remaining (-50%)
Threshold costs -21b (-50%)
| Inputs |
|---|
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(*.f64 #s(literal 2/3 binary64) (/.f64 b a)) |
| Outputs |
|---|
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
5 calls:
| 2.0ms | (*.f64 #s(literal 3 binary64) a) |
| 1.0ms | c |
| 1.0ms | b |
| 1.0ms | a |
| 1.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.5% | 1 | b |
| 34.5% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 34.5% | 1 | c |
| 34.5% | 1 | a |
| 34.5% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 44.0ms | 1.8621217940569872e-59 | 3.193465221054295e-43 |
| 11.0ms | -2.934838707612162e+81 | -1.4669478955840104e+81 |
| 15.0ms | 161× | 0 | valid |
| 7.0ms | 37× | 2 | valid |
| 5.0ms | 42× | 1 | valid |
| 2.0ms | 25× | 0 | invalid |
Compiled 458 to 313 computations (31.7% saved)
ival-mult: 5.0ms (28.2% of total)ival-div: 3.0ms (16.9% of total)ival-sqrt: 3.0ms (16.9% of total)adjust: 2.0ms (11.3% of total)ival-sub: 2.0ms (11.3% of total)ival-add: 2.0ms (11.3% of total)ival-neg: 1.0ms (5.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.8621217940569872e-59 | 3.193465221054295e-43 |
| 7.0ms | -2.934838707612162e+81 | -1.4669478955840104e+81 |
| 4.0ms | 64× | 0 | valid |
| 0.0ms | 5× | 0 | invalid |
Compiled 473 to 343 computations (27.5% saved)
ival-mult: 1.0ms (31.9% of total)ival-div: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.8621217940569872e-59 | 3.193465221054295e-43 |
| 18.0ms | -8.215318946766531e+60 | -3.743253250646914e+55 |
| 11.0ms | 144× | 0 | valid |
| 1.0ms | 9× | 0 | invalid |
Compiled 582 to 416 computations (28.5% saved)
ival-mult: 3.0ms (43.2% of total)ival-div: 1.0ms (14.4% of total)ival-add: 1.0ms (14.4% of total)ival-sub: 1.0ms (14.4% of total)ival-sqrt: 1.0ms (14.4% of total)ival-neg: 1.0ms (14.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 2.6365986660953623e-61 | 6.337769918964908e-61 |
| 23.0ms | -9.252401534495177e-154 | -8.097704675383126e-167 |
| 15.0ms | 200× | 0 | valid |
| 4.0ms | 54× | 0 | invalid |
| 4.0ms | 28× | 1 | valid |
| 2.0ms | 12× | 2 | valid |
Compiled 493 to 368 computations (25.4% saved)
ival-mult: 5.0ms (30.2% of total)ival-sub: 3.0ms (18.1% of total)ival-div: 2.0ms (12.1% of total)ival-sqrt: 2.0ms (12.1% of total)ival-add: 2.0ms (12.1% of total)adjust: 1.0ms (6% of total)ival-neg: 1.0ms (6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.6365986660953623e-61 | 6.337769918964908e-61 |
| 1.0ms | -9.252401534495177e-154 | -8.097704675383126e-167 |
Compiled 478 to 353 computations (26.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.6365986660953623e-61 | 6.337769918964908e-61 |
| 1.0ms | -9.252401534495177e-154 | -8.097704675383126e-167 |
Compiled 448 to 333 computations (25.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | -1.196192275304657e-308 | 6.4457230772407215e-308 |
| 13.0ms | 96× | 0 | valid |
| 3.0ms | 45× | 0 | invalid |
Compiled 161 to 120 computations (25.5% saved)
ival-mult: 8.0ms (64.5% of total)ival-div: 1.0ms (8.1% of total)ival-add: 1.0ms (8.1% of total)ival-sub: 1.0ms (8.1% of total)ival-sqrt: 1.0ms (8.1% of total)ival-neg: 1.0ms (8.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1.196192275304657e-308 | 6.4457230772407215e-308 |
Compiled 149 to 114 computations (23.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1.196192275304657e-308 | 6.4457230772407215e-308 |
Compiled 131 to 102 computations (22.1% saved)
| 1× | egg-herbie |
| 428× | distribute-lft-neg-in_binary64 |
| 394× | unsub-neg_binary64 |
| 334× | neg-mul-1_binary64 |
| 280× | cancel-sign-sub_binary64 |
| 230× | neg-sub0_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 286 |
| 1 | 107 | 280 |
| 2 | 129 | 280 |
| 3 | 190 | 280 |
| 4 | 305 | 280 |
| 5 | 467 | 280 |
| 6 | 705 | 280 |
| 7 | 984 | 280 |
| 8 | 1181 | 280 |
| 9 | 1334 | 280 |
| 10 | 1461 | 280 |
| 11 | 1562 | 280 |
| 12 | 1646 | 280 |
| 13 | 1681 | 280 |
| 14 | 1707 | 280 |
| 15 | 1709 | 280 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b #s(literal -1950000000000000046593019966806931072818483934639229916930177798083286472629157888 binary64)) (/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) (if (<=.f64 b #s(literal 5935501858239885/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -2899999999999999961279576700833706007865409252878411344260166570945286288206462976 binary64)) (/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) (if (<=.f64 b #s(literal 5935501858239885/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -7999999999999999595097082376592150935709160088107280584671232 binary64)) (/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) (if (<=.f64 b #s(literal 5935501858239885/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -3396566182339387/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) (if (<=.f64 b #s(literal 578960446186581/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -3396566182339387/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) (if (<=.f64 b #s(literal 578960446186581/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -3396566182339387/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)) (if (<=.f64 b #s(literal 578960446186581/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -1950000000000000046593019966806931072818483934639229916930177798083286472629157888 binary64)) (/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) (if (<=.f64 b #s(literal 5935501858239885/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -1950000000000000046593019966806931072818483934639229916930177798083286472629157888 binary64)) (/.f64 (/.f64 (+.f64 b b) a) #s(literal -3 binary64)) (if (<=.f64 b #s(literal 5935501858239885/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -2899999999999999961279576700833706007865409252878411344260166570945286288206462976 binary64)) (/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) (if (<=.f64 b #s(literal 5935501858239885/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -2899999999999999961279576700833706007865409252878411344260166570945286288206462976 binary64)) (/.f64 (/.f64 (+.f64 b b) a) #s(literal -3 binary64)) (if (<=.f64 b #s(literal 5935501858239885/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -7999999999999999595097082376592150935709160088107280584671232 binary64)) (/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) (if (<=.f64 b #s(literal 5935501858239885/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -7999999999999999595097082376592150935709160088107280584671232 binary64)) (/.f64 (/.f64 (+.f64 b b) a) #s(literal -3 binary64)) (if (<=.f64 b #s(literal 5935501858239885/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -3396566182339387/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) (if (<=.f64 b #s(literal 578960446186581/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -3396566182339387/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (*.f64 (neg.f64 b) (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))) (if (<=.f64 b #s(literal 578960446186581/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -3396566182339387/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) (if (<=.f64 b #s(literal 578960446186581/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -3396566182339387/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (*.f64 (neg.f64 b) (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))) (if (<=.f64 b #s(literal 578960446186581/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -3396566182339387/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)) (if (<=.f64 b #s(literal 578960446186581/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -3396566182339387/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)) (if (<=.f64 b #s(literal 578960446186581/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (/.f64 (+.f64 b b) a) #s(literal -3 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
(*.f64 b (/.f64 #s(literal -2/3 binary64) a)) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
| 10 788× | lower-fma.f64 |
| 10 788× | lower-fma.f32 |
| 10 362× | lower-fma.f64 |
| 10 362× | lower-fma.f32 |
| 10 152× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 811 | 8727 |
| 1 | 2667 | 8672 |
| 0 | 8154 | 8325 |
| 0 | 1008 | 9184 |
| 1 | 3248 | 9121 |
| 0 | 8344 | 8702 |
| 0 | 33 | 111 |
| 0 | 56 | 107 |
| 1 | 171 | 105 |
| 2 | 1077 | 102 |
| 0 | 9689 | 99 |
| 0 | 560 | 3466 |
| 1 | 1767 | 3443 |
| 2 | 6215 | 3400 |
| 0 | 8264 | 3230 |
| 0 | 32 | 175 |
| 0 | 58 | 167 |
| 1 | 212 | 167 |
| 2 | 1558 | 167 |
| 0 | 8218 | 167 |
| 0 | 12 | 51 |
| 0 | 20 | 51 |
| 1 | 71 | 49 |
| 2 | 525 | 48 |
| 3 | 6836 | 48 |
| 0 | 8125 | 44 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 661 to 352 computations (46.7% saved)
Compiled 606 to 184 computations (69.6% saved)
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