
Time bar (total: 6.5s)
| 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 |
| 42.6% | 40.6% | 54.6% | 0.1% | 0% | 4.7% | 0% | 7 |
| 51.2% | 48.4% | 46% | 0.1% | 0% | 5.5% | 0% | 8 |
| 54.5% | 49.9% | 41.7% | 0.1% | 0% | 8.2% | 0% | 9 |
| 60.2% | 53.4% | 35.3% | 0.1% | 0% | 11.1% | 0% | 10 |
| 67.6% | 58.7% | 28.2% | 0.1% | 0% | 13% | 0% | 11 |
| 71.4% | 60.6% | 24.2% | 0.1% | 0% | 15.1% | 0% | 12 |
Compiled 15 to 12 computations (20% saved)
| 477.0ms | 5 522× | 0 | valid |
| 281.0ms | 1 204× | 2 | valid |
| 195.0ms | 1 361× | 1 | valid |
| 73.0ms | 1 106× | 0 | invalid |
| 49.0ms | 169× | 3 | valid |
ival-mult: 193.0ms (25.8% of total)ival-sub: 133.0ms (17.8% of total)adjust: 123.0ms (16.5% of total)ival-sqrt: 101.0ms (13.5% of total)ival-div: 93.0ms (12.4% of total)ival-neg: 93.0ms (12.4% of total)ival-true: 7.0ms (0.9% of total)ival-assert: 4.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 102 | 0 | - | 2 | (3.2650785217620357e-205 1.320506446650817e-160 2.1128471700572524e-263) | (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
| 65 | 0 | - | 0 | - | (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) |
| 15 | 0 | - | 2 | (2.70677245089566e-292 -1.9745269504309577e+99 -3.6166125533200343e+70) | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 4 | 0 | - | 0 | - | (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
| 0 | 0 | - | 0 | - | (*.f64 b_2 b_2) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (neg.f64 b_2) |
| 0 | 0 | - | 0 | - | b_2 |
| 0 | 0 | - | 0 | - | (*.f64 a c) |
| 0 | 0 | - | 0 | - | c |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) | oflow-rescue | 96 | 0 |
| ↳ | (*.f64 b_2 b_2) | overflow | 80 | |
| ↳ | (*.f64 a c) | overflow | 23 | |
| ↳ | (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) | overflow | 96 | |
-.f64 | (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) | cancellation | 65 | 0 |
/.f64 | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) | u/n | 13 | 0 |
| ↳ | (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) | underflow | 26 | |
| ↳ | (*.f64 b_2 b_2) | underflow | 41 | |
| ↳ | (*.f64 a c) | underflow | 30 | |
| ↳ | (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) | underflow | 4 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) | uflow-rescue | 4 | 0 |
| ↳ | (*.f64 b_2 b_2) | underflow | 41 | |
| ↳ | (*.f64 a c) | underflow | 30 | |
| ↳ | (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) | underflow | 4 | |
-.f64 | (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) | nan-rescue | 4 | 0 |
| ↳ | (*.f64 b_2 b_2) | overflow | 80 | |
| ↳ | (*.f64 a c) | overflow | 23 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 135 | 2 |
| - | 10 | 109 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 135 | 0 | 2 |
| - | 10 | 0 | 109 |
| number | freq |
|---|---|
| 0 | 111 |
| 1 | 110 |
| 2 | 33 |
| 3 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 24.0ms | 330× | 0 | valid |
| 23.0ms | 86× | 1 | valid |
| 20.0ms | 92× | 2 | valid |
| 1.0ms | 4× | 3 | valid |
Compiled 117 to 34 computations (70.9% saved)
adjust: 14.0ms (29.7% of total)ival-sub: 10.0ms (21.2% of total)ival-mult: 9.0ms (19.1% of total)ival-sqrt: 6.0ms (12.7% of total)ival-div: 5.0ms (10.6% of total)ival-neg: 2.0ms (4.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 118 |
| 1 | 112 | 118 |
| 2 | 207 | 118 |
| 3 | 336 | 118 |
| 4 | 435 | 118 |
| 5 | 467 | 118 |
| 6 | 485 | 118 |
| 7 | 489 | 118 |
| 0 | 10 | 13 |
| 0 | 17 | 13 |
| 1 | 27 | 13 |
| 2 | 51 | 13 |
| 3 | 96 | 13 |
| 4 | 131 | 13 |
| 5 | 138 | 13 |
| 6 | 146 | 13 |
| 7 | 154 | 13 |
| 0 | 154 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| Outputs |
|---|
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))) a) |
Compiled 13 to 10 computations (23.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 49.1% | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) | |
| cost-diff | 0 | (neg.f64 b_2) | |
| cost-diff | 0 | (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) | |
| cost-diff | 0 | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 50 |
| 0 | 17 | 50 |
| 1 | 27 | 50 |
| 2 | 51 | 50 |
| 3 | 96 | 50 |
| 4 | 131 | 50 |
| 5 | 138 | 50 |
| 6 | 146 | 50 |
| 7 | 154 | 50 |
| 0 | 154 | 50 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) |
(neg.f64 b_2) |
b_2 |
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(*.f64 b_2 b_2) |
(*.f64 a c) |
a |
c |
| Outputs |
|---|
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))) a) |
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) |
(-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))) |
(neg.f64 b_2) |
b_2 |
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
(sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) |
(*.f64 b_2 b_2) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.8007812500000001 | (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) | |
| accuracy | 3.382374683685195 | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) | |
| accuracy | 14.512973428993348 | (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) | |
| accuracy | 23.719022361308433 | (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
| 12.0ms | 165× | 0 | valid |
| 10.0ms | 46× | 2 | valid |
| 6.0ms | 43× | 1 | valid |
| 1.0ms | 2× | 3 | valid |
Compiled 52 to 12 computations (76.9% saved)
adjust: 4.0ms (21.9% of total)ival-mult: 4.0ms (21.9% of total)ival-sub: 3.0ms (16.4% of total)ival-div: 3.0ms (16.4% of total)ival-sqrt: 3.0ms (16.4% of total)ival-neg: 1.0ms (5.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) |
(neg.f64 b_2) |
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
| Outputs |
|---|
(* -2 (/ b_2 a)) |
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) |
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a) |
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a) |
(* -2 b_2) |
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2)) |
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2)) |
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2)) |
b_2 |
(+ b_2 (* -1/2 (/ (* a c) b_2))) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))) |
(pow b_2 2) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a c)) |
(* a (- (/ (pow b_2 2) a) c)) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a)))) |
(- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(- (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(- (* b_2 (- (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(* -1 b_2) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5))))))))) |
(- (pow b_2 2) (* a c)) |
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))) |
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a)))) |
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a)))) |
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2)) |
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))) |
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))) |
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(* -1/2 (/ c b_2)) |
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)) |
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2)) |
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2)) |
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)) |
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))) |
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))) |
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))) |
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2))))) |
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2)) |
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2)) |
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))) |
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c))))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1))))))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))) |
(* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* c (- (/ (pow b_2 2) c) a)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c))))) |
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | c | @ | -inf | ((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c))) |
| 3.0ms | a | @ | inf | ((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c))) |
| 2.0ms | a | @ | -inf | ((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c))) |
| 2.0ms | b_2 | @ | -inf | ((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c))) |
| 2.0ms | b_2 | @ | 0 | ((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 528 | 2715 |
| 1 | 1718 | 2692 |
| 2 | 6857 | 2679 |
| 0 | 8446 | 2560 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -2 (/ b_2 a)) |
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) |
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a) |
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a) |
(* -2 b_2) |
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2)) |
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2)) |
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2)) |
b_2 |
(+ b_2 (* -1/2 (/ (* a c) b_2))) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))) |
(pow b_2 2) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a c)) |
(* a (- (/ (pow b_2 2) a) c)) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a)))) |
(- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(- (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(- (* b_2 (- (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(* -1 b_2) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5))))))))) |
(- (pow b_2 2) (* a c)) |
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))) |
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a)))) |
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a)))) |
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2)) |
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))) |
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))) |
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(* -1/2 (/ c b_2)) |
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)) |
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2)) |
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2)) |
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)) |
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))) |
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))) |
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))) |
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2))))) |
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2)) |
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2)) |
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))) |
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c))))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1))))))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))) |
(* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* c (- (/ (pow b_2 2) c) a)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c))))) |
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a)))) |
| Outputs |
|---|
(* -2 (/ b_2 a)) |
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) |
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) |
(/.f64 (fma.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a (*.f64 #s(literal -2 binary64) b_2)) a) |
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a) |
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (/.f64 (*.f64 a (*.f64 (*.f64 c c) #s(literal 1/8 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) b_2)) a) |
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a) |
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal 1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a)) a (*.f64 #s(literal -2 binary64) b_2)) a) |
(* -2 b_2) |
(*.f64 #s(literal -2 binary64) b_2) |
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2)) |
(fma.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a (*.f64 #s(literal -2 binary64) b_2)) |
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (/.f64 (*.f64 a (*.f64 (*.f64 c c) #s(literal 1/8 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) b_2)) |
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal 1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a)) a (*.f64 #s(literal -2 binary64) b_2)) |
b_2 |
(+ b_2 (* -1/2 (/ (* a c) b_2))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 c b_2) b_2) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a b_2) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) c (*.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a)) a b_2) |
(pow b_2 2) |
(*.f64 b_2 b_2) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))))) |
(fma.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal -1/2 binary64) (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64))))) (fma.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))) a) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal -1/2 binary64) (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))) a) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64))))) (fma.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))) a) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))))) a) |
(* -1 (* a c)) |
(*.f64 (neg.f64 c) a) |
(* a (- (/ (pow b_2 2) a) c)) |
(*.f64 (-.f64 (*.f64 b_2 (/.f64 b_2 a)) c) a) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a)) |
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)) b_2) (neg.f64 a))) |
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (-.f64 b_2 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))) a)) (neg.f64 a))) |
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1))))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 b_2 a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))) b_2) (neg.f64 a)))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b_2 b_2))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) (neg.f64 a)) b_2) (neg.f64 a)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 b_2 #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))))) |
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c)))) |
(*.f64 (-.f64 (*.f64 b_2 (/.f64 b_2 a)) c) a) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a)))) |
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 #s(literal 1 binary64) a)) b_2)) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 b_2 #s(literal -1 binary64)) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64))))) #s(literal 1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))) b_2) (/.f64 #s(literal 1 binary64) a)) b_2 (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))) |
(- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(-.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
(- (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) #s(literal 1 binary64)) b_2)) |
(- (* b_2 (- (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 b_2 #s(literal -1 binary64)) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))) b_2) #s(literal 1 binary64)) b_2 (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))) |
(* -1 b_2) |
(neg.f64 b_2) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 b_2 b_2) #s(literal -1 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (*.f64 b_2 b_2) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))))) (*.f64 b_2 b_2) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (*.f64 b_2 b_2) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
(- (pow b_2 2) (* a c)) |
(fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) |
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 c b_2) (/.f64 #s(literal -2 binary64) a)) b_2) |
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 c b_2) (/.f64 #s(literal -2 binary64) a))) b_2) |
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 c b_2) (/.f64 #s(literal -2 binary64) a)))) b_2) |
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2)) |
(*.f64 (-.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) b_2) |
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
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(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 b_2 #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a)))) |
(*.f64 (-.f64 (*.f64 b_2 (/.f64 b_2 c)) a) c) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 41 |
| 0 | 17 | 41 |
| 1 | 57 | 41 |
| 2 | 416 | 41 |
| 3 | 4744 | 38 |
| 0 | 9326 | 34 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) |
(neg.f64 b_2) |
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a)) |
(*.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a)) |
(*.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (*.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a))) |
(*.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (*.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) a))) |
(/.f64 (/.f64 (-.f64 (*.f64 a b_2) (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a)) a) a) |
(/.f64 (+.f64 (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) #s(literal 3 binary64))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 a a)))) (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 a b_2) (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a))) (neg.f64 (*.f64 a a))) |
(/.f64 (-.f64 (*.f64 b_2 (neg.f64 a)) (*.f64 (neg.f64 a) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (*.f64 a a)) |
(/.f64 (-.f64 (*.f64 a b_2) (*.f64 (neg.f64 a) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (*.f64 (neg.f64 a) a)) |
(/.f64 (-.f64 (*.f64 b_2 (neg.f64 a)) (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a)) (*.f64 a (neg.f64 a))) |
(/.f64 (fma.f64 b_2 (neg.f64 a) (*.f64 (neg.f64 a) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (*.f64 a a)) |
(/.f64 (fma.f64 b_2 (neg.f64 a) (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a)) (*.f64 a (neg.f64 a))) |
(/.f64 (fma.f64 a b_2 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a)) (*.f64 a a)) |
(/.f64 (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 a a))) (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a)) |
(/.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64)) (*.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a))) |
(/.f64 (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) #s(literal 3 binary64))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3 binary64))) (*.f64 (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a))) |
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3 binary64))) (*.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64))) (*.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) a))) |
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 9 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 9/2 binary64))) (*.f64 (fma.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) (*.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) a))) |
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64))) (*.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (neg.f64 a))) |
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) a))) |
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64))) (*.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) a)) |
(/.f64 (-.f64 (*.f64 a b_2) (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a)) (*.f64 (neg.f64 a) a)) |
(/.f64 (-.f64 (*.f64 a b_2) (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a)) (*.f64 a a)) |
(/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (neg.f64 a)) |
(/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a) |
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (neg.f64 a))) |
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (*.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a))) |
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a)) |
(neg.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a)) |
(fma.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) a) (/.f64 b_2 a)) |
(-.f64 (/.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a)) (/.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 a a)) (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a))) |
(-.f64 (/.f64 (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) #s(literal 3 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 a b_2) (*.f64 a a)) (/.f64 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (*.f64 a a))) |
(-.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a)) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a))) |
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (*.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) a)) (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) a))) |
(-.f64 (/.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a) (/.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a)) |
(-.f64 (/.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) a) (/.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) a)) |
(-.f64 (/.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (neg.f64 a)) (/.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (neg.f64 a))) |
(-.f64 (/.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) (neg.f64 a)) (/.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) (neg.f64 a))) |
(-.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a)) |
(+.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a)) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a))) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 b_2 a)) |
(+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a)) |
(*.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 c a (*.f64 b_2 b_2))) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (pow.f64 b_2 #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)))) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) |
(*.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) |
(*.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) |
(*.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 2 binary64))) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 2 binary64))) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (*.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (fma.f64 c a (*.f64 b_2 b_2)))) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) (*.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)))) (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64))) |
(/.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64)) (pow.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 3 binary64))) |
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3 binary64))) (*.f64 (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (pow.f64 b_2 #s(literal 4 binary64))) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) |
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3 binary64))) (*.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64))) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))))) |
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 9 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 9/2 binary64))) (*.f64 (fma.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))))) |
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)))) |
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64))) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) |
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) |
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) |
(neg.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) |
(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))))) |
(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 c a (*.f64 b_2 b_2))) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))))) |
(fma.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)))) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) |
(fma.f64 (/.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) |
(fma.f64 (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) b_2) |
(fma.f64 (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) b_2) |
(fma.f64 (fabs.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) b_2) |
(fma.f64 (sqrt.f64 b_2) (sqrt.f64 b_2) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) |
(fma.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) b_2) |
(fma.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) b_2) |
(fma.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (/.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))))) |
(fma.f64 (*.f64 b_2 b_2) (/.f64 b_2 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))))) |
(fma.f64 b_2 (/.f64 (*.f64 b_2 b_2) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))))) |
(fma.f64 b_2 (/.f64 b_2 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) |
(-.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) |
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))))) |
(-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) |
(+.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) |
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))))) |
(+.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) |
(+.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) |
(*.f64 (sqrt.f64 b_2) (sqrt.f64 b_2)) |
(pow.f64 (sqrt.f64 b_2) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 b_2)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 b_2 b_2) #s(literal 1/2 binary64)) |
(pow.f64 b_2 #s(literal 1 binary64)) |
(neg.f64 b_2) |
(sqrt.f64 (*.f64 b_2 b_2)) |
(fabs.f64 b_2) |
(+.f64 (cosh.f64 (/.f64 (*.f64 (log.f64 b_2) #s(literal 2 binary64)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (*.f64 (log.f64 b_2) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 b_2) #s(literal 1 binary64))) (sinh.f64 (*.f64 (log.f64 b_2) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (/.f64 (*.f64 (log.f64 b_2) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 b_2) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 b_2) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (/.f64 (*.f64 (log.f64 b_2) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 b_2) #s(literal 1 binary64))) |
b_2 |
(*.f64 (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) |
(*.f64 (fabs.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) |
(pow.f64 (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (neg.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (*.f64 c a)))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (*.f64 c a))) |
(/.f64 (fabs.f64 (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (fabs.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (*.f64 c a)))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (neg.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (*.f64 c a)))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (*.f64 c a))) |
(/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) |
(neg.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) |
(sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) |
(fabs.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1/4 binary64) (*.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1/4 binary64)))) |
(exp.f64 (/.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (*.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a)) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 8 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) (fma.f64 c a (*.f64 b_2 b_2))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/4 binary64))) |
(*.f64 (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) |
(*.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (fma.f64 c a (*.f64 b_2 b_2))) (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) |
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (*.f64 c a))) |
(/.f64 (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (*.f64 c a))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64))) (fma.f64 c a (*.f64 b_2 b_2))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 2 binary64))) (fma.f64 c a (*.f64 b_2 b_2))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 c a (*.f64 b_2 b_2))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 2 binary64))) |
(/.f64 (hypot.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (pow.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (*.f64 c a)) #s(literal 2 binary64))) |
(/.f64 (hypot.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (hypot.f64 (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a)) (pow.f64 b_2 #s(literal 4 binary64)))) |
(/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) |
(/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3 binary64))) |
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 18 binary64)) (pow.f64 (*.f64 c a) #s(literal 9 binary64))) (*.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 12 binary64))) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (*.f64 c a) #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (*.f64 c a) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a)) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 8 binary64))) (fma.f64 c a (*.f64 b_2 b_2)))) |
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 a b_2) c) b_2)))) |
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) |
(/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) |
(neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) |
(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))) |
(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a)) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 8 binary64))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))) |
(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))) |
(fma.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) (fma.f64 c a (*.f64 b_2 b_2)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))) |
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 (neg.f64 (neg.f64 c)) a)) |
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 (neg.f64 c) (neg.f64 a))) |
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 (neg.f64 a) c)) |
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 c a)) |
(fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) |
(fma.f64 (pow.f64 b_2 #s(literal 4 binary64)) (/.f64 (*.f64 b_2 b_2) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))) |
(fma.f64 (pow.f64 b_2 #s(literal 3 binary64)) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))) |
(fma.f64 (pow.f64 b_2 #s(literal 3 binary64)) (/.f64 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))) |
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)) |
(fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)) |
(fma.f64 c a (*.f64 b_2 b_2)) |
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2)) |
(fma.f64 a c (*.f64 b_2 b_2)) |
(fma.f64 (*.f64 b_2 b_2) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))) |
(fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))) |
(fma.f64 b_2 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))) |
(fma.f64 b_2 b_2 (*.f64 (neg.f64 (neg.f64 c)) a)) |
(fma.f64 b_2 b_2 (*.f64 (neg.f64 c) (neg.f64 a))) |
(fma.f64 b_2 b_2 (*.f64 (neg.f64 a) c)) |
(fma.f64 b_2 b_2 (*.f64 c a)) |
(sqrt.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))) |
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))) |
(-.f64 (*.f64 (neg.f64 a) c) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 (neg.f64 c)) a)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 c) (neg.f64 a))) |
(-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 a) c)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(fabs.f64 (fma.f64 c a (*.f64 b_2 b_2))) |
(hypot.f64 (neg.f64 (fabs.f64 (*.f64 c a))) (*.f64 b_2 b_2)) |
(hypot.f64 (fabs.f64 (fabs.f64 (*.f64 c a))) (*.f64 b_2 b_2)) |
(hypot.f64 (fabs.f64 (*.f64 c a)) (*.f64 b_2 b_2)) |
(hypot.f64 (*.f64 (neg.f64 a) c) (*.f64 b_2 b_2)) |
(hypot.f64 (*.f64 c a) (*.f64 b_2 b_2)) |
(hypot.f64 (*.f64 b_2 b_2) (neg.f64 (fabs.f64 (*.f64 c a)))) |
(hypot.f64 (*.f64 b_2 b_2) (fabs.f64 (fabs.f64 (*.f64 c a)))) |
(hypot.f64 (*.f64 b_2 b_2) (fabs.f64 (*.f64 c a))) |
(hypot.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 a) c)) |
(hypot.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64))) (sinh.f64 (*.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (sinh.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))))) |
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))) |
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))) |
(+.f64 (*.f64 (neg.f64 a) c) (*.f64 b_2 b_2)) |
(+.f64 (*.f64 c a) (*.f64 b_2 b_2)) |
(+.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 (neg.f64 c)) a)) |
(+.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 c) (neg.f64 a))) |
(+.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 a) c)) |
(+.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2)))) |
Compiled 10 643 to 1 581 computations (85.1% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 319 | 12 | 331 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 319 | 13 | 332 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 49.1% | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 14.7% | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))) a) | |
| ▶ | 33.8% | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))) a) |
| ▶ | 31.5% | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a) |
| 24.8% | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a) | |
| 11.7% | (/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) a) | |
| 24.6% | (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)) (*.f64 (*.f64 #s(literal 1/2 binary64) c) a)) (neg.f64 b_2))) a) | |
| 22.5% | (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) c) a)) (*.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) b_2))) (neg.f64 b_2))) a) | |
| ▶ | 31.6% | (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a)) a) |
| ▶ | 34.1% | (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
| 34.0% | #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) | |
| 36.0% | #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (*.f64 #s(literal -1/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))) | |
| ▶ | 36.8% | #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
Compiled 653 to 444 computations (32% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))) | |
| cost-diff | 0 | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))) a) | |
| cost-diff | 2 | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2) | |
| cost-diff | 4 | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) | |
| cost-diff | 0 | (neg.f64 b_2) | |
| cost-diff | 0 | (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) | |
| cost-diff | 0 | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a) | |
| cost-diff | 0 | #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a)) a) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) b_2) | |
| cost-diff | 0 | #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) | |
| cost-diff | 0 | (/.f64 c b_2) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) | |
| cost-diff | 0 | #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 346 |
| 0 | 58 | 346 |
| 1 | 93 | 346 |
| 2 | 161 | 346 |
| 3 | 373 | 346 |
| 4 | 1129 | 346 |
| 5 | 4120 | 312 |
| 6 | 6395 | 312 |
| 7 | 7004 | 312 |
| 8 | 7424 | 312 |
| 9 | 7767 | 312 |
| 0 | 8012 | 312 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) |
#s(literal -1/2 binary64) |
(/.f64 c b_2) |
c |
b_2 |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) |
(*.f64 #s(literal -2 binary64) b_2) |
#s(literal -2 binary64) |
b_2 |
a |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a)) a) |
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) |
#s(literal -1/2 binary64) |
(/.f64 c b_2) |
c |
b_2 |
a |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a) |
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) |
(neg.f64 b_2) |
b_2 |
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) |
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) |
(*.f64 (neg.f64 c) a) |
(neg.f64 c) |
c |
a |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))) a) |
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))) |
(neg.f64 b_2) |
b_2 |
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))) |
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (/.f64 c b_2) b_2) a) |
(/.f64 (/.f64 c b_2) b_2) |
(/.f64 c b_2) |
c |
a |
| Outputs |
|---|
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 c b_2) |
c |
b_2 |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) |
(*.f64 #s(literal -2 binary64) b_2) |
#s(literal -2 binary64) |
b_2 |
a |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a)) a) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) a)) a) |
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a)) |
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) a)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a) |
(*.f64 (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) a) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 c b_2) |
c |
b_2 |
a |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) b_2) (neg.f64 a)) |
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) |
(neg.f64 b_2) |
b_2 |
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) |
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) |
(*.f64 (neg.f64 c) a) |
(neg.f64 c) |
c |
a |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))) a) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))) b_2) (neg.f64 a)) |
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))) |
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))))) |
(neg.f64 b_2) |
b_2 |
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))) |
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))) |
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)) |
#s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2) |
(fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) |
(fma.f64 (/.f64 (neg.f64 a) b_2) c b_2) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (/.f64 c b_2) b_2) a) |
(/.f64 (/.f64 c b_2) b_2) |
(/.f64 c b_2) |
c |
a |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.5289949361229818 | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) | |
| accuracy | 7.2783366880330576 | (*.f64 (/.f64 (/.f64 c b_2) b_2) a) | |
| accuracy | 14.512973428993348 | (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))) | |
| accuracy | 23.719022361308433 | (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))) | |
| accuracy | 3.382374683685195 | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a) | |
| accuracy | 14.512973428993348 | (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) | |
| accuracy | 23.719022361308433 | (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) | |
| accuracy | 41.064224357964 | #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) | |
| accuracy | 0.0 | (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) | |
| accuracy | 3.382374683685195 | (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a)) a) | |
| accuracy | 6.110801836582294 | (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a) | |
| accuracy | 40.456379930389495 | #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a)) | |
| accuracy | 0.0 | (*.f64 #s(literal -2 binary64) b_2) | |
| accuracy | 3.382374683685195 | (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) | |
| accuracy | 42.21745501526381 | #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) | |
| accuracy | 0.0 | (/.f64 c b_2) | |
| accuracy | 0.0 | (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) | |
| accuracy | 40.4277100661111 | #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
| 97.0ms | 2× | 3 | valid |
| 28.0ms | 165× | 0 | valid |
| 20.0ms | 46× | 2 | valid |
| 13.0ms | 43× | 1 | valid |
Compiled 242 to 26 computations (89.3% saved)
ival-div: 102.0ms (76.4% of total)ival-mult: 14.0ms (10.5% of total)adjust: 6.0ms (4.5% of total)ival-sub: 4.0ms (3% of total)ival-sqrt: 4.0ms (3% of total)ival-neg: 2.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) |
(/.f64 c b_2) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) |
(*.f64 #s(literal -2 binary64) b_2) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a)) a) |
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a) |
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) |
(neg.f64 b_2) |
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))) a) |
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))) |
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) |
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))) |
(*.f64 (/.f64 (/.f64 c b_2) b_2) a) |
| Outputs |
|---|
(* -2 (/ b_2 a)) |
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) |
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a) |
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a) |
(* -2 b_2) |
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2)) |
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2)) |
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2)) |
(* -1/2 (/ (* a c) b_2)) |
b_2 |
(+ b_2 (* -1/2 (/ (* a c) b_2))) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))) |
(+ b_2 (* -1 (/ (* a c) b_2))) |
(pow b_2 2) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (/ (* a c) b_2)) |
(* a (+ (* -1 (/ c b_2)) (/ b_2 a))) |
(* -1 (* a c)) |
(* a (+ (* -1 c) (/ (pow b_2 2) a))) |
(* a (- (/ (pow b_2 2) a) c)) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1 (/ b_2 a)) (/ c b_2)))) |
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a))))) |
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a)))) |
(* -1/2 (/ c b_2)) |
(/ c b_2) |
(- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(- (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(- (* b_2 (- (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(* -1 b_2) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5))))))))) |
(/ (+ (* -1 (* a c)) (pow b_2 2)) b_2) |
(- (pow b_2 2) (* a c)) |
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))) |
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a)))) |
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a)))) |
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2)) |
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))) |
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))) |
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))) |
(* b_2 (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)) |
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2)) |
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2)) |
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2)) |
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)) |
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))) |
(* -1 (* b_2 (- (/ (* a c) (pow b_2 2)) 1))) |
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))) |
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))) |
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2))))) |
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2)) |
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2)) |
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))) |
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c))))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1))))))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))) |
(* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* c (+ (* -1 (/ a b_2)) (/ b_2 c))) |
(* c (+ (* -1 a) (/ (pow b_2 2) c))) |
(* c (- (/ (pow b_2 2) c) a)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c))))) |
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1 (/ b_2 c)) (/ a b_2)))) |
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c))))) |
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | b_2 | @ | 0 | ((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (/ c b_2)) (/ c b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* -1/2 (/ c b_2)) a) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (* (- 1 (* (/ (/ c b_2) b_2) a)) b_2) (* (* (- 1 (* (/ (/ c b_2) b_2) a)) b_2) b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (* (/ (/ c b_2) b_2) a)) |
| 3.0ms | c | @ | -inf | ((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (/ c b_2)) (/ c b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* -1/2 (/ c b_2)) a) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (* (- 1 (* (/ (/ c b_2) b_2) a)) b_2) (* (* (- 1 (* (/ (/ c b_2) b_2) a)) b_2) b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (* (/ (/ c b_2) b_2) a)) |
| 3.0ms | b_2 | @ | -inf | ((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (/ c b_2)) (/ c b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* -1/2 (/ c b_2)) a) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (* (- 1 (* (/ (/ c b_2) b_2) a)) b_2) (* (* (- 1 (* (/ (/ c b_2) b_2) a)) b_2) b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (* (/ (/ c b_2) b_2) a)) |
| 3.0ms | c | @ | inf | ((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (/ c b_2)) (/ c b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* -1/2 (/ c b_2)) a) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (* (- 1 (* (/ (/ c b_2) b_2) a)) b_2) (* (* (- 1 (* (/ (/ c b_2) b_2) a)) b_2) b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (* (/ (/ c b_2) b_2) a)) |
| 3.0ms | b_2 | @ | inf | ((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (/ c b_2)) (/ c b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* -1/2 (/ c b_2)) a) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (* (- 1 (* (/ (/ c b_2) b_2) a)) b_2) (* (* (- 1 (* (/ (/ c b_2) b_2) a)) b_2) b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (* (/ (/ c b_2) b_2) a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 557 | 2862 |
| 1 | 1855 | 2828 |
| 2 | 7273 | 2828 |
| 0 | 8046 | 2702 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -2 (/ b_2 a)) |
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) |
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a) |
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a) |
(* -2 b_2) |
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2)) |
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2)) |
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2)) |
(* -1/2 (/ (* a c) b_2)) |
b_2 |
(+ b_2 (* -1/2 (/ (* a c) b_2))) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))) |
(+ b_2 (* -1 (/ (* a c) b_2))) |
(pow b_2 2) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (/ (* a c) b_2)) |
(* a (+ (* -1 (/ c b_2)) (/ b_2 a))) |
(* -1 (* a c)) |
(* a (+ (* -1 c) (/ (pow b_2 2) a))) |
(* a (- (/ (pow b_2 2) a) c)) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1 (/ b_2 a)) (/ c b_2)))) |
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a))))) |
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a)))) |
(* -1/2 (/ c b_2)) |
(/ c b_2) |
(- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(- (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(- (* b_2 (- (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(* -1 b_2) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5))))))))) |
(/ (+ (* -1 (* a c)) (pow b_2 2)) b_2) |
(- (pow b_2 2) (* a c)) |
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))) |
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a)))) |
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a)))) |
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2)) |
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))) |
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))) |
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))) |
(* b_2 (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)) |
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2)) |
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2)) |
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2)) |
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)) |
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))) |
(* -1 (* b_2 (- (/ (* a c) (pow b_2 2)) 1))) |
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))) |
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))) |
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2))))) |
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2)) |
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2)) |
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))) |
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c))))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1))))))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))) |
(* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* c (+ (* -1 (/ a b_2)) (/ b_2 c))) |
(* c (+ (* -1 a) (/ (pow b_2 2) c))) |
(* c (- (/ (pow b_2 2) c) a)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c))))) |
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1 (/ b_2 c)) (/ a b_2)))) |
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c))))) |
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a)))) |
| Outputs |
|---|
(* -2 (/ b_2 a)) |
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) |
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) |
(/.f64 (fma.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a (*.f64 #s(literal -2 binary64) b_2)) a) |
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a) |
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (/.f64 (*.f64 a (*.f64 (*.f64 c c) #s(literal 1/8 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) b_2)) a) |
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a) |
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal 1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a)) a (*.f64 #s(literal -2 binary64) b_2)) a) |
(* -2 b_2) |
(*.f64 #s(literal -2 binary64) b_2) |
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2)) |
(fma.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a (*.f64 #s(literal -2 binary64) b_2)) |
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (/.f64 (*.f64 a (*.f64 (*.f64 c c) #s(literal 1/8 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) b_2)) |
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal 1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a)) a (*.f64 #s(literal -2 binary64) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a) |
b_2 |
(+ b_2 (* -1/2 (/ (* a c) b_2))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 c b_2) b_2) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a b_2) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a b_2) |
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(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 b_2 #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* c (+ (* -1 (/ b_2 c)) (/ a b_2)))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 b_2 c) #s(literal -1 binary64) (/.f64 a b_2))) |
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c))))) |
(*.f64 (neg.f64 c) (-.f64 a (*.f64 b_2 (/.f64 b_2 c)))) |
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a)))) |
(*.f64 (neg.f64 c) (-.f64 a (*.f64 b_2 (/.f64 b_2 c)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 275 |
| 0 | 58 | 275 |
| 1 | 169 | 275 |
| 2 | 1018 | 275 |
| 0 | 8718 | 275 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) |
(/.f64 c b_2) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) |
(*.f64 #s(literal -2 binary64) b_2) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a)) a) |
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a) |
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) |
(neg.f64 b_2) |
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))) a) |
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))) |
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) |
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))) |
(*.f64 (/.f64 (/.f64 c b_2) b_2) a) |
| Outputs |
|---|
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) b_2) |
(/.f64 (*.f64 #s(literal 1/2 binary64) c) (neg.f64 b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)) |
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (neg.f64 b_2))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 c) b_2))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 c) b_2) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 c) (neg.f64 b_2)) |
(/.f64 c b_2) |
(neg.f64 (/.f64 (neg.f64 c) b_2)) |
(/.f64 (neg.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (neg.f64 a)) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
(neg.f64 (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 a))) |
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) |
(neg.f64 (neg.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) |
(*.f64 #s(literal -2 binary64) b_2) |
(*.f64 b_2 #s(literal -2 binary64)) |
(/.f64 (neg.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) a))) (neg.f64 a)) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) a)) a) |
(neg.f64 (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) a)) (neg.f64 a))) |
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) a)) |
(neg.f64 (neg.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) a)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 c b_2)) |
(*.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 c b_2)) |
(*.f64 (*.f64 (/.f64 c b_2) a) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) a) |
(*.f64 (/.f64 c b_2) (*.f64 #s(literal -1/2 binary64) a)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 c b_2) a)) |
(*.f64 a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) a)) (neg.f64 b_2)) |
(/.f64 (neg.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) c)) (neg.f64 b_2)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) a) b_2) |
(/.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) c) b_2) |
(neg.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 (neg.f64 c) b_2))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 c) b_2) (*.f64 #s(literal -1/2 binary64) a))) |
(*.f64 (/.f64 (+.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2))) (/.f64 (-.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)) |
(*.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2))) (/.f64 (+.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (neg.f64 a))) |
(*.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (/.f64 (+.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (neg.f64 a))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 2 binary64)) (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) (*.f64 a a)))) (neg.f64 (/.f64 (-.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (neg.f64 a)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 b_2 a) (/.f64 b_2 a) (*.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) (+.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) (/.f64 (neg.f64 b_2) a)))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 b_2) a (*.f64 (neg.f64 a) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))) (neg.f64 (*.f64 a a))) |
(/.f64 (-.f64 (*.f64 b_2 (neg.f64 a)) (*.f64 (neg.f64 a) (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))) (*.f64 a a)) |
(/.f64 (-.f64 (*.f64 b_2 a) (*.f64 (neg.f64 a) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 (neg.f64 a) a)) |
(/.f64 (-.f64 (*.f64 (neg.f64 b_2) (neg.f64 a)) (*.f64 a (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))) (*.f64 a (neg.f64 a))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 2 binary64)) (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) (*.f64 a a))) (/.f64 (-.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (neg.f64 a))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) #s(literal 3 binary64))) (fma.f64 (/.f64 b_2 a) (/.f64 b_2 a) (*.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) (+.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) (/.f64 (neg.f64 b_2) a))))) |
(/.f64 (fma.f64 (neg.f64 b_2) b_2 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) a))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 3/2 binary64)))) (neg.f64 (*.f64 (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a))) |
(/.f64 (fma.f64 (neg.f64 b_2) a (*.f64 (neg.f64 a) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a)) |
(/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) a)) |
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 3/2 binary64))) (*.f64 (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)) |
(/.f64 (+.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (neg.f64 a)) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a) |
(neg.f64 (/.f64 (+.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 2 binary64)) (/.f64 (-.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (neg.f64 a))) (/.f64 (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) (*.f64 a a)) (/.f64 (-.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (neg.f64 a)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 3 binary64)) (fma.f64 (/.f64 b_2 a) (/.f64 b_2 a) (*.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) (+.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) (/.f64 (neg.f64 b_2) a))))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) #s(literal 3 binary64)) (fma.f64 (/.f64 b_2 a) (/.f64 b_2 a) (*.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) (+.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) (/.f64 (neg.f64 b_2) a)))))) |
(-.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) a)) (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) a))) |
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (*.f64 (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)) (/.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a))) |
(-.f64 (/.f64 (/.f64 (*.f64 (neg.f64 b_2) b_2) (-.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) a) (/.f64 (/.f64 (neg.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (-.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) a)) |
(-.f64 (/.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) a) (/.f64 (/.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 3/2 binary64)) (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) a)) |
(-.f64 (/.f64 (*.f64 (neg.f64 b_2) a) (*.f64 a a)) (/.f64 (*.f64 a (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (*.f64 a a))) |
(-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a)) |
(+.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) a)) (/.f64 (neg.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) a))) |
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(/.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)) #s(literal 3/2 binary64))) (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))) (neg.f64 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))))) |
(neg.f64 (+.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))))) |
(-.f64 (/.f64 (*.f64 (neg.f64 b_2) b_2) (-.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))))) (/.f64 (neg.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))) (-.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))))) |
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))) (neg.f64 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))))) (/.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)) #s(literal 3/2 binary64)) (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))) (neg.f64 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))))) |
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))) |
(+.f64 (/.f64 (*.f64 (neg.f64 b_2) b_2) (-.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))))) (/.f64 (neg.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))) (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))) (neg.f64 b_2)))) |
(+.f64 (neg.f64 b_2) (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))))) |
(*.f64 (*.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 1/4 binary64))) (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) |
(*.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) |
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) #s(literal 2 binary64)) |
(pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 1 binary64)) |
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) |
(neg.f64 (*.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))) |
(neg.f64 (neg.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) |
(sqrt.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 2 binary64))) |
(fabs.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) |
(*.f64 (neg.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)) #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))) #s(literal 1 binary64)) |
(pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))) |
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))))) |
(fabs.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))))) |
(exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 c b_2)) (/.f64 a b_2)) |
(*.f64 (/.f64 a (neg.f64 b_2)) (/.f64 (neg.f64 c) b_2)) |
(*.f64 (/.f64 a b_2) (/.f64 c b_2)) |
(*.f64 (/.f64 (neg.f64 c) b_2) (/.f64 a (neg.f64 b_2))) |
(*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1 binary64)) |
(*.f64 (/.f64 (/.f64 c b_2) b_2) a) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) |
(*.f64 (/.f64 c b_2) (/.f64 a b_2)) |
(*.f64 a (/.f64 (/.f64 c b_2) b_2)) |
(/.f64 (*.f64 (/.f64 (neg.f64 c) b_2) a) (neg.f64 b_2)) |
(/.f64 (*.f64 (/.f64 c b_2) a) b_2) |
(/.f64 (*.f64 (neg.f64 c) a) (*.f64 (neg.f64 b_2) b_2)) |
(/.f64 (*.f64 c a) (*.f64 b_2 b_2)) |
(neg.f64 (*.f64 (/.f64 (/.f64 (neg.f64 c) b_2) b_2) a)) |
Compiled 18 039 to 1 999 computations (88.9% saved)
16 alts after pruning (12 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 393 | 8 | 401 |
| Fresh | 3 | 4 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 398 | 16 | 414 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 16.9% | (/.f64 (fma.f64 (neg.f64 b_2) a (*.f64 (neg.f64 a) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a)) |
| ▶ | 23.0% | (/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) a)) |
| 31.4% | (/.f64 (-.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))) a) | |
| ✓ | 49.1% | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| ✓ | 31.5% | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a) |
| 25.5% | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 #s(approx (* (- 1 (* (/ (/ c b_2) b_2) a)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2))) b_2)))) a) | |
| ▶ | 24.8% | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a) |
| ▶ | 11.7% | (/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) a) |
| 24.8% | (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))) (neg.f64 b_2))) a) | |
| 22.5% | (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) c) a)) (*.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) b_2))) (neg.f64 b_2))) a) | |
| 30.2% | (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) c) b_2)) a) | |
| ✓ | 34.1% | (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
| 33.2% | (-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))) a)) | |
| ▶ | 34.0% | #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) |
| 33.1% | #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 c c) a) b_2) (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 b_2))) | |
| ✓ | 36.8% | #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
Compiled 783 to 500 computations (36.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 b_2) | |
| cost-diff | 0 | (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) | |
| cost-diff | 0 | (/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) a) | |
| cost-diff | 4 | (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)) | |
| cost-diff | 0 | (*.f64 b_2 b_2) | |
| cost-diff | 0 | (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) a)) | |
| cost-diff | 1 | (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) | |
| cost-diff | 0 | (*.f64 (neg.f64 a) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) | |
| cost-diff | 0 | (neg.f64 b_2) | |
| cost-diff | 2 | (fma.f64 (neg.f64 b_2) a (*.f64 (neg.f64 a) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) | |
| cost-diff | 4 | (/.f64 (fma.f64 (neg.f64 b_2) a (*.f64 (neg.f64 a) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a)) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))) | |
| cost-diff | 0 | (neg.f64 b_2) | |
| cost-diff | 0 | (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) | |
| cost-diff | 0 | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a) | |
| cost-diff | 0 | (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) b_2) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 454 |
| 0 | 75 | 454 |
| 1 | 138 | 450 |
| 2 | 361 | 448 |
| 3 | 1223 | 444 |
| 4 | 4258 | 427 |
| 5 | 7010 | 427 |
| 0 | 8074 | 427 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))) |
(/.f64 #s(literal 1/2 binary64) b_2) |
#s(literal 1/2 binary64) |
b_2 |
c |
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) |
(/.f64 b_2 a) |
a |
#s(literal -2 binary64) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a) |
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) |
(neg.f64 b_2) |
b_2 |
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))) |
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)) |
(*.f64 b_2 b_2) |
a |
(/.f64 (fma.f64 (neg.f64 b_2) a (*.f64 (neg.f64 a) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a)) |
(fma.f64 (neg.f64 b_2) a (*.f64 (neg.f64 a) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) |
(neg.f64 b_2) |
b_2 |
a |
(*.f64 (neg.f64 a) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) |
(neg.f64 a) |
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) |
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) |
(*.f64 (neg.f64 c) a) |
(neg.f64 c) |
c |
(*.f64 a a) |
(/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) a)) |
(-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) |
(*.f64 b_2 b_2) |
b_2 |
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) |
(*.f64 (neg.f64 c) a) |
(neg.f64 c) |
c |
a |
(*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) a) |
(+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) |
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) |
(neg.f64 b_2) |
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) a) |
(-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) |
(neg.f64 b_2) |
b_2 |
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)) |
(*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (/.f64 c b_2) b_2) a) |
(/.f64 (/.f64 c b_2) b_2) |
(/.f64 c b_2) |
c |
a |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))) |
(fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1/2 binary64) b_2) |
#s(literal 1/2 binary64) |
b_2 |
c |
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) |
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2) |
(/.f64 b_2 a) |
a |
#s(literal -2 binary64) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a) |
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) |
(neg.f64 b_2) |
b_2 |
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))) |
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)) |
(*.f64 b_2 b_2) |
a |
(/.f64 (fma.f64 (neg.f64 b_2) a (*.f64 (neg.f64 a) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a)) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) b_2) (neg.f64 a)) |
(fma.f64 (neg.f64 b_2) a (*.f64 (neg.f64 a) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) |
(*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) b_2) (neg.f64 a)) |
(neg.f64 b_2) |
b_2 |
a |
(*.f64 (neg.f64 a) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) |
(*.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 a)) |
(neg.f64 a) |
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) |
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) |
(*.f64 (neg.f64 c) a) |
(neg.f64 c) |
c |
(*.f64 a a) |
(/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) a)) |
(/.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) b_2)) |
(-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) |
(*.f64 b_2 b_2) |
b_2 |
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) |
(*.f64 (neg.f64 c) a) |
(neg.f64 c) |
c |
a |
(*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) a) |
(*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) b_2) a) |
(+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) |
(-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) b_2) |
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) |
(neg.f64 b_2) |
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) a) |
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a b_2)))) a) |
(-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) |
(-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a b_2)))) |
(neg.f64 b_2) |
b_2 |
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) |
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a b_2))) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)) |
(neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a b_2)) |
(*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (/.f64 c b_2) b_2) a) |
(/.f64 (/.f64 c b_2) b_2) |
(/.f64 c b_2) |
c |
a |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.5303106111189613 | (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)) | |
| accuracy | 7.2783366880330576 | (*.f64 (/.f64 (/.f64 c b_2) b_2) a) | |
| accuracy | 14.512973428993348 | (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) | |
| accuracy | 40.482975495749045 | #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) | |
| accuracy | 22.637052818097583 | (/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) a)) | |
| accuracy | 23.719022361308433 | (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) | |
| accuracy | 35.87055054884576 | (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) | |
| accuracy | 41.064224357964 | #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) | |
| accuracy | 19.519505872791658 | (fma.f64 (neg.f64 b_2) a (*.f64 (neg.f64 a) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) | |
| accuracy | 23.719022361308433 | (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) | |
| accuracy | 32.129898057208216 | (/.f64 (fma.f64 (neg.f64 b_2) a (*.f64 (neg.f64 a) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a)) | |
| accuracy | 41.064224357964 | #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) | |
| accuracy | 3.382374683685195 | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a) | |
| accuracy | 14.512973428993348 | (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) | |
| accuracy | 19.415632449288037 | #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)) | |
| accuracy | 23.719022361308433 | (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))) | |
| accuracy | 0.0 | (/.f64 #s(literal 1/2 binary64) b_2) | |
| accuracy | 0.0078125 | (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) | |
| accuracy | 0.078125 | (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))) | |
| accuracy | 42.25064870386149 | #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) |
| 80.0ms | 75× | 2 | valid |
| 60.0ms | 82× | 1 | valid |
| 20.0ms | 84× | 0 | valid |
| 13.0ms | 15× | 3 | valid |
Compiled 331 to 37 computations (88.8% saved)
ival-mult: 44.0ms (42.3% of total)adjust: 22.0ms (21.2% of total)ival-div: 16.0ms (15.4% of total)ival-add: 7.0ms (6.7% of total)ival-sub: 6.0ms (5.8% of total)ival-sqrt: 4.0ms (3.8% of total)ival-neg: 3.0ms (2.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))) |
(/.f64 #s(literal 1/2 binary64) b_2) |
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a) |
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) |
(neg.f64 b_2) |
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))) |
(/.f64 (fma.f64 (neg.f64 b_2) a (*.f64 (neg.f64 a) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a)) |
(fma.f64 (neg.f64 b_2) a (*.f64 (neg.f64 a) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) |
(*.f64 (neg.f64 a) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) |
(+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) |
(/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) a)) |
(-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) |
(*.f64 b_2 b_2) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)) |
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) a) |
(-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) |
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)) |
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) |
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) |
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) |
(*.f64 (/.f64 (/.f64 c b_2) b_2) a) |
| Outputs |
|---|
(* -2 (/ b_2 a)) |
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) |
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a) |
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a) |
(* -2 b_2) |
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2)) |
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2)) |
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2)) |
b_2 |
(+ b_2 (* -1/2 (/ (* a c) b_2))) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))) |
(* -2 (* a b_2)) |
(* a (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))) |
(* a (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))))) |
(* a (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3))))))))) |
(* -1 (* a b_2)) |
(* a (+ (* -1 b_2) (* 1/2 (/ (* a c) b_2)))) |
(* a (+ (* -1 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))))) |
(* a (+ (* -1 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3))))))))) |
(* -1/2 (/ (* a c) b_2)) |
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))) |
(/ (+ (* -2 b_2) (* a (- (* -1 (* a (+ (* -1/4 (/ (pow c 2) (pow b_2 3))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))) (* -1/2 (/ c b_2))))) a) |
(/ (+ (* -2 b_2) (* a (- (* a (- (* -1 (* a (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) c)) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ (pow c 2) (pow b_2 3))) (* 1/8 (/ (pow c 2) (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 3) (pow b_2 5))))))) (+ (* -1/4 (/ (pow c 2) (pow b_2 3))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))) (* -1/2 (/ c b_2))))) a) |
(* a c) |
(* -1 b_2) |
(- (* 1/2 (/ (* a c) b_2)) b_2) |
(pow b_2 2) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))) |
(* 1/2 (/ c b_2)) |
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a))) |
(* (sqrt (/ c a)) (/ 1 (sqrt -1))) |
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) a) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow a 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) a) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* c (pow (sqrt -1) 4)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow a 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) a) |
(* 1/2 (/ (* a c) b_2)) |
(* a (+ (* -1 (/ b_2 a)) (* 1/2 (/ c b_2)))) |
(* -1 (* a c)) |
(* a (- (/ (pow b_2 2) a) c)) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))) |
(* (sqrt (* (pow a 3) c)) (sqrt -1)) |
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* (pow a 2) (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* (pow a 2) (+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(* (pow a 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* (pow a 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) (* a b_2)) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* a (pow b_2 3)) c)) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))))) a)) (* a b_2)) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (* a (+ (* -1/2 (/ c b_2)) (/ b_2 a)))) |
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a)))) |
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2) |
(/ 1/2 b_2) |
(- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(- (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(- (* b_2 (- (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5))))))))) |
(+ (* -1 (* a b_2)) (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))) |
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* b_2 (+ (* -1 a) (* -1/2 (* (sqrt (/ a c)) (/ b_2 (sqrt -1))))))) |
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* b_2 (+ (* -1 a) (* b_2 (+ (* -1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))))) |
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* -1/2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))))) |
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* (pow b_2 2) (+ (* -1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) |
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* (pow b_2 2) (+ (* -1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))))) |
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* (sqrt (/ c a)) (/ 1 (sqrt -1))) (/ b_2 (* a (pow (sqrt -1) 2)))) |
(+ (* b_2 (+ (* -1 (* b_2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* a (pow (sqrt -1) 2))))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) |
(+ (* b_2 (+ (* b_2 (- (* -1 (* b_2 (+ (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -1) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* a (pow (sqrt -1) 2))))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) |
(/ (+ (* -1 (pow b_2 2)) (* 1/2 (* a c))) b_2) |
(- (pow b_2 2) (* a c)) |
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))) |
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a)))) |
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a)))) |
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2)) |
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))) |
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))) |
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))) |
(* b_2 (+ (* -2 a) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2))))) |
(* b_2 (+ (* -2 a) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))) |
(* b_2 (+ (* -2 a) (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2))))))) |
(* b_2 (+ (* -1 a) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2))))) |
(* b_2 (+ (* -1 a) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))) |
(* b_2 (+ (* -1 a) (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2))))))) |
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2) |
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2) |
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2) |
(* b_2 (- (* -1 (/ (+ (* -1/4 (* a (pow c 2))) (* 1/8 (* a (pow c 2)))) (pow b_2 4))) (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))) |
(* b_2 (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (+ (* -1/4 (* a (* c (+ (* -1/4 (* a (pow c 2))) (* 1/8 (* a (pow c 2))))))) (* 1/16 (* (pow a 2) (pow c 3))))) (pow b_2 6))) (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/4 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))) |
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 1)) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(* -1/2 (/ c b_2)) |
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)) |
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2)) |
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2)) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))) |
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2)) |
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)) |
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))) |
(* -1 (/ (* b_2 (+ a (* -1 a))) (pow a 2))) |
(* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (+ (/ -1 a) (/ 1 a))))) |
(* -1 (* b_2 (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (+ (/ -1 a) (/ 1 a)))))) |
(* -1 (* b_2 (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (+ (/ -1 a) (/ 1 a))))))) |
(* -1 (* b_2 (+ a (* -1 a)))) |
(* -1 (* b_2 (+ a (+ (* -1 a) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2))))))) |
(* -1 (* b_2 (+ a (+ (* -1 a) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))))) |
(* -1 (* b_2 (+ a (+ (* -1 a) (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2))))))))) |
(* a b_2) |
(* -1 (* b_2 (+ (* -1 a) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))) |
(* -1 (* b_2 (+ (* -1 a) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2))))))) |
(* -1 (* b_2 (+ (* -1 a) (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))))) |
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))) |
(* -1 (/ (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/32 (* (pow a 3) (pow c 4))) (* -1/128 (* (pow a 3) (pow c 4)))) (pow b_2 6))) (* 1/2 c)) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)) |
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))) |
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2))))) |
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2)) |
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2)) |
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))) |
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))) |
(+ (* -2 (* a b_2)) (* 1/2 (/ (* (pow a 2) c) b_2))) |
(+ (* -2 (* a b_2)) (* c (+ (* 1/8 (/ (* (pow a 3) c) (pow b_2 3))) (* 1/2 (/ (pow a 2) b_2))))) |
(+ (* -2 (* a b_2)) (* c (+ (* 1/2 (/ (pow a 2) b_2)) (* c (+ (* 1/16 (/ (* (pow a 4) c) (pow b_2 5))) (* 1/8 (/ (pow a 3) (pow b_2 3)))))))) |
(+ (* -1 (* a b_2)) (* 1/2 (/ (* (pow a 2) c) b_2))) |
(+ (* -1 (* a b_2)) (* c (+ (* 1/8 (/ (* (pow a 3) c) (pow b_2 3))) (* 1/2 (/ (pow a 2) b_2))))) |
(+ (* -1 (* a b_2)) (* c (+ (* 1/2 (/ (pow a 2) b_2)) (* c (+ (* 1/16 (/ (* (pow a 4) c) (pow b_2 5))) (* 1/8 (/ (pow a 3) (pow b_2 3)))))))) |
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))) |
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))) |
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5))))))))) |
(+ (* -2 (/ b_2 a)) (* c (+ (* -1 (* c (+ (* -1/4 (/ a (pow b_2 3))) (* 1/8 (/ a (pow b_2 3)))))) (* 1/2 (/ 1 b_2))))) |
(+ (* -2 (/ b_2 a)) (* c (+ (* c (- (* -1 (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (pow a 2))) (+ (* -1/4 (/ (* a (+ (* -1/4 (/ a (pow b_2 3))) (* 1/8 (/ a (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow a 2) (pow b_2 5))))))) (+ (* -1/4 (/ a (pow b_2 3))) (* 1/8 (/ a (pow b_2 3)))))) (* 1/2 (/ 1 b_2))))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c))))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1))))))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))) |
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))) |
(* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c)))) |
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1 (/ (* a b_2) c)) (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1))))))) |
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1 (/ (* a b_2) c)) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))) |
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))))) |
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))) |
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))) |
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2))))) |
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* (pow a 2) (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) |
(* c (+ (* -1 (/ b_2 c)) (* 1/2 (/ a b_2)))) |
(* c (- (/ (pow b_2 2) c) a)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c))))) |
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))) |
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c)))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b_2 4) (sqrt -1))))) c))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1))))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1)))))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1))))))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) a))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow b_2 3) c) (pow a 2))) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))))))) (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c)) (* -1 (/ (* b_2 c) a))) c))) |
(* -1 (* c (+ (* -1/2 (/ a b_2)) (/ b_2 c)))) |
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | c | @ | 0 | ((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/ 1/2 b_2) (* (/ b_2 a) -2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (* (neg a) (sqrt (- (* b_2 b_2) (* a c)))) (+ (sqrt (- (* b_2 b_2) (* a c))) (neg b_2)) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* (+ (sqrt (- (* b_2 b_2) (* a c))) (neg b_2)) a)) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_2) (neg b_2)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (* a c)) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (sqrt (- (* b_2 b_2) (* a c))) (* (/ (/ c b_2) b_2) a)) |
| 10.0ms | b_2 | @ | inf | ((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/ 1/2 b_2) (* (/ b_2 a) -2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (* (neg a) (sqrt (- (* b_2 b_2) (* a c)))) (+ (sqrt (- (* b_2 b_2) (* a c))) (neg b_2)) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* (+ (sqrt (- (* b_2 b_2) (* a c))) (neg b_2)) a)) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_2) (neg b_2)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (* a c)) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (sqrt (- (* b_2 b_2) (* a c))) (* (/ (/ c b_2) b_2) a)) |
| 5.0ms | c | @ | inf | ((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/ 1/2 b_2) (* (/ b_2 a) -2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (* (neg a) (sqrt (- (* b_2 b_2) (* a c)))) (+ (sqrt (- (* b_2 b_2) (* a c))) (neg b_2)) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* (+ (sqrt (- (* b_2 b_2) (* a c))) (neg b_2)) a)) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_2) (neg b_2)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (* a c)) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (sqrt (- (* b_2 b_2) (* a c))) (* (/ (/ c b_2) b_2) a)) |
| 5.0ms | c | @ | -inf | ((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/ 1/2 b_2) (* (/ b_2 a) -2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (* (neg a) (sqrt (- (* b_2 b_2) (* a c)))) (+ (sqrt (- (* b_2 b_2) (* a c))) (neg b_2)) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* (+ (sqrt (- (* b_2 b_2) (* a c))) (neg b_2)) a)) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_2) (neg b_2)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (* a c)) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (sqrt (- (* b_2 b_2) (* a c))) (* (/ (/ c b_2) b_2) a)) |
| 5.0ms | b_2 | @ | 0 | ((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/ 1/2 b_2) (* (/ b_2 a) -2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (* (neg a) (sqrt (- (* b_2 b_2) (* a c)))) (+ (sqrt (- (* b_2 b_2) (* a c))) (neg b_2)) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* (+ (sqrt (- (* b_2 b_2) (* a c))) (neg b_2)) a)) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_2) (neg b_2)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (* a c)) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (sqrt (- (* b_2 b_2) (* a c))) (* (/ (/ c b_2) b_2) a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1105 | 6839 |
| 1 | 4025 | 6767 |
| 0 | 8715 | 6458 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -2 (/ b_2 a)) |
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) |
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a) |
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a) |
(* -2 b_2) |
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2)) |
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2)) |
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2)) |
b_2 |
(+ b_2 (* -1/2 (/ (* a c) b_2))) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))) |
(* -2 (* a b_2)) |
(* a (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))) |
(* a (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))))) |
(* a (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3))))))))) |
(* -1 (* a b_2)) |
(* a (+ (* -1 b_2) (* 1/2 (/ (* a c) b_2)))) |
(* a (+ (* -1 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))))) |
(* a (+ (* -1 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3))))))))) |
(* -1/2 (/ (* a c) b_2)) |
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))) |
(/ (+ (* -2 b_2) (* a (- (* -1 (* a (+ (* -1/4 (/ (pow c 2) (pow b_2 3))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))) (* -1/2 (/ c b_2))))) a) |
(/ (+ (* -2 b_2) (* a (- (* a (- (* -1 (* a (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) c)) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ (pow c 2) (pow b_2 3))) (* 1/8 (/ (pow c 2) (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 3) (pow b_2 5))))))) (+ (* -1/4 (/ (pow c 2) (pow b_2 3))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))) (* -1/2 (/ c b_2))))) a) |
(* a c) |
(* -1 b_2) |
(- (* 1/2 (/ (* a c) b_2)) b_2) |
(pow b_2 2) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))) |
(* 1/2 (/ c b_2)) |
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a))) |
(* (sqrt (/ c a)) (/ 1 (sqrt -1))) |
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) a) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow a 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) a) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* c (pow (sqrt -1) 4)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow a 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) a) |
(* 1/2 (/ (* a c) b_2)) |
(* a (+ (* -1 (/ b_2 a)) (* 1/2 (/ c b_2)))) |
(* -1 (* a c)) |
(* a (- (/ (pow b_2 2) a) c)) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))) |
(* (sqrt (* (pow a 3) c)) (sqrt -1)) |
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* (pow a 2) (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* (pow a 2) (+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(* (pow a 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* (pow a 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) (* a b_2)) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* a (pow b_2 3)) c)) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))))) a)) (* a b_2)) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (* a (+ (* -1/2 (/ c b_2)) (/ b_2 a)))) |
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a)))) |
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2) |
(/ 1/2 b_2) |
(- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(- (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(- (* b_2 (- (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5))))))))) |
(+ (* -1 (* a b_2)) (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))) |
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* b_2 (+ (* -1 a) (* -1/2 (* (sqrt (/ a c)) (/ b_2 (sqrt -1))))))) |
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* b_2 (+ (* -1 a) (* b_2 (+ (* -1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))))) |
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* -1/2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))))) |
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* (pow b_2 2) (+ (* -1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) |
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* (pow b_2 2) (+ (* -1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))))) |
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* (sqrt (/ c a)) (/ 1 (sqrt -1))) (/ b_2 (* a (pow (sqrt -1) 2)))) |
(+ (* b_2 (+ (* -1 (* b_2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* a (pow (sqrt -1) 2))))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) |
(+ (* b_2 (+ (* b_2 (- (* -1 (* b_2 (+ (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -1) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* a (pow (sqrt -1) 2))))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) |
(/ (+ (* -1 (pow b_2 2)) (* 1/2 (* a c))) b_2) |
(- (pow b_2 2) (* a c)) |
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))) |
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a)))) |
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a)))) |
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2)) |
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))) |
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))) |
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))) |
(* b_2 (+ (* -2 a) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2))))) |
(* b_2 (+ (* -2 a) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))) |
(* b_2 (+ (* -2 a) (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2))))))) |
(* b_2 (+ (* -1 a) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2))))) |
(* b_2 (+ (* -1 a) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))) |
(* b_2 (+ (* -1 a) (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2))))))) |
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2) |
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2) |
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2) |
(* b_2 (- (* -1 (/ (+ (* -1/4 (* a (pow c 2))) (* 1/8 (* a (pow c 2)))) (pow b_2 4))) (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))) |
(* b_2 (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (+ (* -1/4 (* a (* c (+ (* -1/4 (* a (pow c 2))) (* 1/8 (* a (pow c 2))))))) (* 1/16 (* (pow a 2) (pow c 3))))) (pow b_2 6))) (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/4 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))) |
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 1)) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(* -1/2 (/ c b_2)) |
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)) |
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2)) |
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2)) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))) |
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2)) |
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)) |
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))) |
(* -1 (/ (* b_2 (+ a (* -1 a))) (pow a 2))) |
(* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (+ (/ -1 a) (/ 1 a))))) |
(* -1 (* b_2 (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (+ (/ -1 a) (/ 1 a)))))) |
(* -1 (* b_2 (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (+ (/ -1 a) (/ 1 a))))))) |
(* -1 (* b_2 (+ a (* -1 a)))) |
(* -1 (* b_2 (+ a (+ (* -1 a) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2))))))) |
(* -1 (* b_2 (+ a (+ (* -1 a) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))))) |
(* -1 (* b_2 (+ a (+ (* -1 a) (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2))))))))) |
(* a b_2) |
(* -1 (* b_2 (+ (* -1 a) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))) |
(* -1 (* b_2 (+ (* -1 a) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2))))))) |
(* -1 (* b_2 (+ (* -1 a) (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))))) |
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))) |
(* -1 (/ (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/32 (* (pow a 3) (pow c 4))) (* -1/128 (* (pow a 3) (pow c 4)))) (pow b_2 6))) (* 1/2 c)) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)) |
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))) |
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2))))) |
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2)) |
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2)) |
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))) |
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))) |
(+ (* -2 (* a b_2)) (* 1/2 (/ (* (pow a 2) c) b_2))) |
(+ (* -2 (* a b_2)) (* c (+ (* 1/8 (/ (* (pow a 3) c) (pow b_2 3))) (* 1/2 (/ (pow a 2) b_2))))) |
(+ (* -2 (* a b_2)) (* c (+ (* 1/2 (/ (pow a 2) b_2)) (* c (+ (* 1/16 (/ (* (pow a 4) c) (pow b_2 5))) (* 1/8 (/ (pow a 3) (pow b_2 3)))))))) |
(+ (* -1 (* a b_2)) (* 1/2 (/ (* (pow a 2) c) b_2))) |
(+ (* -1 (* a b_2)) (* c (+ (* 1/8 (/ (* (pow a 3) c) (pow b_2 3))) (* 1/2 (/ (pow a 2) b_2))))) |
(+ (* -1 (* a b_2)) (* c (+ (* 1/2 (/ (pow a 2) b_2)) (* c (+ (* 1/16 (/ (* (pow a 4) c) (pow b_2 5))) (* 1/8 (/ (pow a 3) (pow b_2 3)))))))) |
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))) |
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))) |
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5))))))))) |
(+ (* -2 (/ b_2 a)) (* c (+ (* -1 (* c (+ (* -1/4 (/ a (pow b_2 3))) (* 1/8 (/ a (pow b_2 3)))))) (* 1/2 (/ 1 b_2))))) |
(+ (* -2 (/ b_2 a)) (* c (+ (* c (- (* -1 (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (pow a 2))) (+ (* -1/4 (/ (* a (+ (* -1/4 (/ a (pow b_2 3))) (* 1/8 (/ a (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow a 2) (pow b_2 5))))))) (+ (* -1/4 (/ a (pow b_2 3))) (* 1/8 (/ a (pow b_2 3)))))) (* 1/2 (/ 1 b_2))))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c))))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1))))))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))) |
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))) |
(* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c)))) |
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1 (/ (* a b_2) c)) (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1))))))) |
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1 (/ (* a b_2) c)) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))) |
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))))) |
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))) |
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))) |
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2))))) |
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* (pow a 2) (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) |
(* c (+ (* -1 (/ b_2 c)) (* 1/2 (/ a b_2)))) |
(* c (- (/ (pow b_2 2) c) a)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c))))) |
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))) |
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c)))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b_2 4) (sqrt -1))))) c))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1))))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1)))))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1))))))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) a))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow b_2 3) c) (pow a 2))) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))))))) (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c)) (* -1 (/ (* b_2 c) a))) c))) |
(* -1 (* c (+ (* -1/2 (/ a b_2)) (/ b_2 c)))) |
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a)))) |
| Outputs |
|---|
(* -2 (/ b_2 a)) |
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) |
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) |
(/.f64 (fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2)) a) |
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a) |
(/.f64 (fma.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal 1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) b_2)) a) |
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (*.f64 #s(literal -2 binary64) b_2)) a) |
(* -2 b_2) |
(*.f64 #s(literal -2 binary64) b_2) |
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2)) |
(fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2)) |
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2)) |
(fma.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal 1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) b_2)) |
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (*.f64 #s(literal -2 binary64) b_2)) |
b_2 |
(+ b_2 (* -1/2 (/ (* a c) b_2))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c a) b_2) b_2) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a b_2) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a b_2) |
(* -2 (* a b_2)) |
(*.f64 (*.f64 a b_2) #s(literal -2 binary64)) |
(* a (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2)) a) |
(* a (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal 1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) b_2)) a) |
(* a (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (*.f64 #s(literal -2 binary64) b_2)) a) |
(* -1 (* a b_2)) |
(*.f64 (neg.f64 a) b_2) |
(* a (+ (* -1 b_2) (* 1/2 (/ (* a c) b_2)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal 1/2 binary64) (neg.f64 b_2)) a) |
(* a (+ (* -1 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal 1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (neg.f64 b_2)) a) |
(* a (+ (* -1 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (neg.f64 b_2)) a) |
(* -1/2 (/ (* a c) b_2)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c a) b_2)) |
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a) |
(/ (+ (* -2 b_2) (* a (- (* -1 (* a (+ (* -1/4 (/ (pow c 2) (pow b_2 3))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))) (* -1/2 (/ c b_2))))) a) |
(/.f64 (fma.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (*.f64 #s(literal -2 binary64) b_2)) a) |
(/ (+ (* -2 b_2) (* a (- (* a (- (* -1 (* a (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) c)) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ (pow c 2) (pow b_2 3))) (* 1/8 (/ (pow c 2) (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 3) (pow b_2 5))))))) (+ (* -1/4 (/ (pow c 2) (pow b_2 3))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))) (* -1/2 (/ c b_2))))) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (*.f64 b_2 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) c)) #s(literal -2 binary64) (fma.f64 (*.f64 c (/.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 b_2 b_2))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (*.f64 #s(literal -2 binary64) b_2)) a) |
(* a c) |
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(* -1 b_2) |
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(pow b_2 2) |
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(*.f64 (/.f64 a b_2) (/.f64 c b_2)) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
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(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
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(*.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) a)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1))))))))) |
(*.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) a)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) #s(literal -1/16 binary64)))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) b_2) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)))) (neg.f64 c)) b_2) (neg.f64 c)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) a))) c))) |
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 b_2 (/.f64 c a)))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow b_2 3) c) (pow a 2))) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))))))) (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c)) (* -1 (/ (* b_2 c) a))) c))) |
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) c) a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) b_2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))))) (neg.f64 c)) (*.f64 (neg.f64 b_2) (/.f64 c a))) c))) |
(* -1 (* c (+ (* -1/2 (/ a b_2)) (/ b_2 c)))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 a b_2) #s(literal -1/2 binary64) (/.f64 b_2 c))) |
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a)))) |
(*.f64 (neg.f64 c) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 b_2 b_2) c) a))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 348 |
| 0 | 75 | 348 |
| 1 | 261 | 344 |
| 2 | 1915 | 344 |
| 0 | 8439 | 344 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))) |
(/.f64 #s(literal 1/2 binary64) b_2) |
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a) |
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) |
(neg.f64 b_2) |
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))) |
(/.f64 (fma.f64 (neg.f64 b_2) a (*.f64 (neg.f64 a) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a)) |
(fma.f64 (neg.f64 b_2) a (*.f64 (neg.f64 a) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) |
(*.f64 (neg.f64 a) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) |
(+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) |
(/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) a)) |
(-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) |
(*.f64 b_2 b_2) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)) |
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) a) |
(-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) |
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)) |
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) |
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) |
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) |
(*.f64 (/.f64 (/.f64 c b_2) b_2) a) |
| Outputs |
|---|
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (*.f64 (/.f64 (neg.f64 b_2) a) #s(literal -2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 #s(literal 2 binary64) (/.f64 b_2 a)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 c b_2) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) a (*.f64 b_2 (*.f64 #s(literal -2 binary64) b_2)))) (*.f64 (neg.f64 b_2) a)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) b_2) b_2 (*.f64 a (*.f64 #s(literal 1/2 binary64) c)))) (*.f64 (neg.f64 b_2) a)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 #s(literal 2 binary64) (/.f64 b_2 a)))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 #s(literal 2 binary64) (/.f64 b_2 a))) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 #s(literal 2 binary64) (/.f64 b_2 a))) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 #s(literal 2 binary64) (/.f64 b_2 a))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 (neg.f64 b_2) #s(literal -2 binary64)))) (*.f64 (neg.f64 b_2) (neg.f64 a))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 #s(literal -2 binary64) (neg.f64 b_2)))) (*.f64 (neg.f64 b_2) (neg.f64 a))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (neg.f64 a) (*.f64 (neg.f64 b_2) (neg.f64 (*.f64 #s(literal -2 binary64) b_2)))) (*.f64 (neg.f64 b_2) (neg.f64 a))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) a (*.f64 (neg.f64 b_2) (*.f64 #s(literal -2 binary64) b_2))) (*.f64 (neg.f64 b_2) a)) |
(/.f64 (fma.f64 (*.f64 c #s(literal -1/2 binary64)) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 (neg.f64 b_2) #s(literal -2 binary64)))) (*.f64 (neg.f64 b_2) (neg.f64 a))) |
(/.f64 (fma.f64 (*.f64 c #s(literal -1/2 binary64)) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 #s(literal -2 binary64) (neg.f64 b_2)))) (*.f64 (neg.f64 b_2) (neg.f64 a))) |
(/.f64 (fma.f64 (*.f64 c #s(literal -1/2 binary64)) (neg.f64 a) (*.f64 (neg.f64 b_2) (neg.f64 (*.f64 #s(literal -2 binary64) b_2)))) (*.f64 (neg.f64 b_2) (neg.f64 a))) |
(/.f64 (fma.f64 (*.f64 c #s(literal -1/2 binary64)) a (*.f64 (neg.f64 b_2) (*.f64 #s(literal -2 binary64) b_2))) (*.f64 (neg.f64 b_2) a)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 (neg.f64 b_2) #s(literal -2 binary64)))) (*.f64 (neg.f64 b_2) (neg.f64 a))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 #s(literal -2 binary64) (neg.f64 b_2)))) (*.f64 (neg.f64 b_2) (neg.f64 a))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 a) (*.f64 (neg.f64 b_2) (neg.f64 (*.f64 #s(literal -2 binary64) b_2)))) (*.f64 (neg.f64 b_2) (neg.f64 a))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) a (*.f64 (neg.f64 b_2) (*.f64 #s(literal -2 binary64) b_2))) (*.f64 (neg.f64 b_2) a)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (neg.f64 a) (*.f64 b_2 (*.f64 (neg.f64 b_2) #s(literal -2 binary64)))) (*.f64 (neg.f64 b_2) a)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (neg.f64 a) (*.f64 b_2 (*.f64 #s(literal -2 binary64) (neg.f64 b_2)))) (*.f64 (neg.f64 b_2) a)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (neg.f64 a) (*.f64 b_2 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)))) (*.f64 (neg.f64 b_2) a)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 b_2) #s(literal -2 binary64)) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 #s(literal -1/2 binary64) c))) (*.f64 (neg.f64 a) (neg.f64 b_2))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 b_2) #s(literal -2 binary64)) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 c #s(literal -1/2 binary64)))) (*.f64 (neg.f64 a) (neg.f64 b_2))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 b_2) #s(literal -2 binary64)) (neg.f64 b_2) (*.f64 (neg.f64 a) (neg.f64 (*.f64 #s(literal 1/2 binary64) c)))) (*.f64 (neg.f64 a) (neg.f64 b_2))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 b_2) #s(literal -2 binary64)) b_2 (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) c))) (*.f64 (neg.f64 a) b_2)) |
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (neg.f64 b_2)) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 #s(literal -1/2 binary64) c))) (*.f64 (neg.f64 a) (neg.f64 b_2))) |
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (neg.f64 b_2)) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 c #s(literal -1/2 binary64)))) (*.f64 (neg.f64 a) (neg.f64 b_2))) |
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (neg.f64 b_2)) (neg.f64 b_2) (*.f64 (neg.f64 a) (neg.f64 (*.f64 #s(literal 1/2 binary64) c)))) (*.f64 (neg.f64 a) (neg.f64 b_2))) |
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (neg.f64 b_2)) b_2 (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) c))) (*.f64 (neg.f64 a) b_2)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 #s(literal -1/2 binary64) c))) (*.f64 (neg.f64 a) (neg.f64 b_2))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 c #s(literal -1/2 binary64)))) (*.f64 (neg.f64 a) (neg.f64 b_2))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 b_2) (*.f64 (neg.f64 a) (neg.f64 (*.f64 #s(literal 1/2 binary64) c)))) (*.f64 (neg.f64 a) (neg.f64 b_2))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) b_2 (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) c))) (*.f64 (neg.f64 a) b_2)) |
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) b_2) (neg.f64 b_2) (*.f64 a (*.f64 #s(literal -1/2 binary64) c))) (*.f64 (neg.f64 b_2) a)) |
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) b_2) (neg.f64 b_2) (*.f64 a (*.f64 c #s(literal -1/2 binary64)))) (*.f64 (neg.f64 b_2) a)) |
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) b_2) (neg.f64 b_2) (*.f64 a (neg.f64 (*.f64 #s(literal 1/2 binary64) c)))) (*.f64 (neg.f64 b_2) a)) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))) |
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(-.f64 (*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a)) (/.f64 (*.f64 a #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) (*.f64 a a))) |
(-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) a)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 b_2 b_2) (pow.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) (neg.f64 b_2))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) (+.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) (neg.f64 b_2)) (*.f64 b_2 b_2))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b_2 b_2) (+.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) (neg.f64 b_2))) (*.f64 (+.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) (neg.f64 b_2)) (pow.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) (neg.f64 b_2)) (+.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) (neg.f64 b_2)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) (+.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) (neg.f64 b_2)) (*.f64 b_2 b_2))) (*.f64 (fma.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) (+.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) (neg.f64 b_2)) (*.f64 b_2 b_2)) (pow.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) (+.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) (neg.f64 b_2)) (*.f64 b_2 b_2)) (fma.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) (+.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) (neg.f64 b_2)) (*.f64 b_2 b_2)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b_2 b_2) (pow.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) (neg.f64 b_2)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) (+.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) (neg.f64 b_2)) (*.f64 b_2 b_2)))) |
(/.f64 (-.f64 (*.f64 b_2 b_2) (pow.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) #s(literal 2 binary64))) (+.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) (neg.f64 b_2))) |
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) #s(literal 3 binary64))) (fma.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) (+.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) (neg.f64 b_2)) (*.f64 b_2 b_2))) |
(-.f64 (/.f64 (*.f64 b_2 b_2) (+.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) (neg.f64 b_2))) (/.f64 (pow.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) #s(literal 2 binary64)) (+.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) (neg.f64 b_2)))) |
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) (+.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) (neg.f64 b_2)) (*.f64 b_2 b_2))) (/.f64 (pow.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) (+.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) (neg.f64 b_2)) (*.f64 b_2 b_2)))) |
(-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))) |
(*.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) |
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))) #s(literal 2 binary64)) |
(pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)) #s(literal 1 binary64)) |
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)) |
(sqrt.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)) #s(literal 2 binary64))) |
(fabs.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))) |
(*.f64 (sqrt.f64 (neg.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (sqrt.f64 (neg.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) |
(*.f64 (pow.f64 (neg.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) |
(*.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) |
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) #s(literal 2 binary64)) |
(pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 1 binary64)) |
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) |
(sqrt.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) |
(fabs.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) |
(*.f64 (neg.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) #s(literal 1 binary64)) |
(pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) |
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) |
(fabs.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))) |
(exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) |
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2))) |
(*.f64 (/.f64 (/.f64 c b_2) b_2) a) |
(*.f64 (/.f64 c b_2) (/.f64 a b_2)) |
(*.f64 a (/.f64 (/.f64 c b_2) b_2)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 c) b_2) a)) (neg.f64 (neg.f64 b_2))) |
(/.f64 (neg.f64 (*.f64 a (/.f64 (neg.f64 c) b_2))) (neg.f64 (neg.f64 b_2))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 c b_2) a))) (neg.f64 (neg.f64 b_2))) |
(/.f64 (*.f64 (neg.f64 (neg.f64 c)) a) (*.f64 (neg.f64 (neg.f64 b_2)) b_2)) |
(/.f64 (*.f64 (/.f64 (neg.f64 c) b_2) a) (neg.f64 b_2)) |
(/.f64 (*.f64 a (/.f64 (neg.f64 c) b_2)) (neg.f64 b_2)) |
(/.f64 (neg.f64 (*.f64 (/.f64 c b_2) a)) (neg.f64 b_2)) |
(/.f64 (*.f64 (/.f64 c b_2) a) b_2) |
(/.f64 (*.f64 (neg.f64 c) a) (*.f64 (neg.f64 b_2) b_2)) |
(/.f64 (*.f64 (neg.f64 c) a) (neg.f64 (*.f64 b_2 b_2))) |
(/.f64 (*.f64 c a) (*.f64 b_2 b_2)) |
Compiled 36 405 to 3 465 computations (90.5% saved)
25 alts after pruning (21 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 769 | 18 | 787 |
| Fresh | 4 | 3 | 7 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 4 | 4 |
| Total | 778 | 25 | 803 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 15.9% | (fma.f64 (neg.f64 a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a a)) (*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a))) |
| 30.1% | (/.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2))) | |
| 22.7% | (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) a) (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2))) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) a))) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)))) | |
| 20.0% | (/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) a)) | |
| 22.0% | (/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 (+.f64 (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (neg.f64 b_2)) a)) | |
| ✓ | 49.1% | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| ▶ | 22.6% | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) a) |
| ✓ | 31.5% | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a) |
| 11.7% | (/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 c b_2) (/.f64 a b_2)) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) a) | |
| 9.3% | (/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(approx (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_2) (neg b_2)) (*.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (neg.f64 b_2) a)) a)))) a) | |
| 10.9% | (/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(approx (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_2) (neg b_2)) (neg.f64 b_2)))) a) | |
| ▶ | 16.9% | (/.f64 (*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a)) |
| 24.9% | (/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (*.f64 c a)) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) a)) | |
| 22.0% | (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 c c) b_2) (/.f64 (*.f64 a a) b_2)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 c a))) (neg.f64 b_2))) a) | |
| 22.5% | (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) c) a)) (*.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) b_2))) (neg.f64 b_2))) a) | |
| 30.2% | (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) c) b_2)) a) | |
| ✓ | 34.1% | (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
| 9.8% | (/.f64 #s(approx (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (*.f64 (fma.f64 #s(literal 0 binary64) a (fma.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/8 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 (*.f64 a a) c) b_2)))) (neg.f64 b_2))) (*.f64 a a)) | |
| 19.7% | (/.f64 #s(approx (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (*.f64 (*.f64 a b_2) #s(literal -2 binary64))) (*.f64 a a)) | |
| 33.2% | (-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))) a)) | |
| ▶ | 33.9% | #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))) |
| 32.1% | #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) a) b_2) (/.f64 (*.f64 c c) b_2) (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 b_2))) | |
| 1.8% | #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (*.f64 (/.f64 (neg.f64 b_2) a) #s(literal -2 binary64))))))) | |
| ✓ | 36.8% | #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
| ▶ | 10.6% | #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) |
Compiled 1 595 to 910 computations (42.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 b_2) | |
| cost-diff | 0 | (-.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) | |
| cost-diff | 0 | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) a) | |
| cost-diff | 2 | (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) | |
| cost-diff | 0 | (neg.f64 a) | |
| cost-diff | 1 | (*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a)) | |
| cost-diff | 3 | (/.f64 (neg.f64 a) a) | |
| cost-diff | 6 | (fma.f64 (neg.f64 a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a a)) (*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a))) | |
| cost-diff | 0 | (neg.f64 b_2) | |
| cost-diff | 0 | (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) | |
| cost-diff | 0 | (*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) | |
| cost-diff | 4 | (/.f64 (*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a)) | |
| cost-diff | 0 | (/.f64 c b_2) | |
| cost-diff | 0 | (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) b_2) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a))) | |
| cost-diff | 0 | #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 396 |
| 0 | 76 | 380 |
| 1 | 143 | 370 |
| 2 | 309 | 365 |
| 3 | 710 | 365 |
| 4 | 2383 | 365 |
| 5 | 7749 | 365 |
| 0 | 8616 | 365 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a))) |
(/.f64 #s(literal 1/2 binary64) b_2) |
#s(literal 1/2 binary64) |
b_2 |
c |
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) |
(/.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
a |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) |
(/.f64 c b_2) |
c |
b_2 |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a)) |
(*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) |
a |
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) |
(neg.f64 b_2) |
b_2 |
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) |
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) |
(*.f64 (neg.f64 c) a) |
(neg.f64 c) |
c |
(*.f64 a a) |
(fma.f64 (neg.f64 a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a a)) (*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a))) |
(neg.f64 a) |
a |
(/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a a)) |
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) |
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) |
(*.f64 (neg.f64 c) a) |
(neg.f64 c) |
c |
(*.f64 a a) |
(*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a)) |
(/.f64 (neg.f64 a) a) |
(/.f64 b_2 a) |
b_2 |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) a) |
(-.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) |
(neg.f64 b_2) |
b_2 |
(sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))) |
(exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) |
(log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))) |
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)) |
(*.f64 b_2 b_2) |
a |
| Outputs |
|---|
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 #s(literal -2 binary64) a) b_2))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 #s(literal -2 binary64) a) b_2)) |
(/.f64 #s(literal 1/2 binary64) b_2) |
#s(literal 1/2 binary64) |
b_2 |
c |
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) |
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2) |
(/.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
a |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) |
(/.f64 c b_2) |
c |
b_2 |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a)) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) b_2) (neg.f64 a)) |
(*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) |
(*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) b_2) (neg.f64 a)) |
a |
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) |
(neg.f64 b_2) |
b_2 |
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) |
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) |
(*.f64 (neg.f64 c) a) |
(neg.f64 c) |
c |
(*.f64 a a) |
(fma.f64 (neg.f64 a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a a)) (*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a))) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) b_2) (neg.f64 a)) |
(neg.f64 a) |
a |
(/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a a)) |
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) |
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) |
(*.f64 (neg.f64 c) a) |
(neg.f64 c) |
c |
(*.f64 a a) |
(*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a)) |
(/.f64 (neg.f64 b_2) a) |
(/.f64 (neg.f64 a) a) |
#s(literal -1 binary64) |
(/.f64 b_2 a) |
b_2 |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) a) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a) |
(-.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) |
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) |
(neg.f64 b_2) |
b_2 |
(sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))) |
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))) |
(exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) |
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)) |
(log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))) |
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)) |
(*.f64 b_2 b_2) |
a |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 14.512973428993348 | (-.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) | |
| accuracy | 19.415632449288037 | #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)) | |
| accuracy | 23.719022361308433 | (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))) | |
| accuracy | 24.483338660391528 | (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))) | |
| accuracy | 8.264790280738689 | (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a a)) | |
| accuracy | 23.719022361308433 | (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) | |
| accuracy | 35.49862742510219 | (fma.f64 (neg.f64 a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a a)) (*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a))) | |
| accuracy | 41.064224357964 | #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) | |
| accuracy | 14.512973428993348 | (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) | |
| accuracy | 23.719022361308433 | (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) | |
| accuracy | 32.129898057208216 | (/.f64 (*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a)) | |
| accuracy | 41.064224357964 | #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) | |
| accuracy | 0.0 | (/.f64 c b_2) | |
| accuracy | 0.0 | (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) | |
| accuracy | 42.25064870386149 | #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) | |
| accuracy | 42.28207995031527 | #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (/.f64 #s(literal -2 binary64) a) | |
| accuracy | 0.078125 | (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a))) | |
| accuracy | 0.2109375 | (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) | |
| accuracy | 42.25064870386149 | #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))) |
| 49.0ms | 165× | 0 | valid |
| 47.0ms | 51× | 2 | valid |
| 22.0ms | 38× | 1 | valid |
| 2.0ms | 2× | 3 | valid |
Compiled 296 to 43 computations (85.5% saved)
ival-mult: 29.0ms (32% of total)ival-div: 21.0ms (23.1% of total)adjust: 15.0ms (16.5% of total)ival-log: 6.0ms (6.6% of total)ival-sub: 5.0ms (5.5% of total)ival-sqrt: 5.0ms (5.5% of total)ival-add: 4.0ms (4.4% of total)ival-neg: 3.0ms (3.3% of total)ival->: 1.0ms (1.1% of total)ival-then: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a))) |
(/.f64 #s(literal 1/2 binary64) b_2) |
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) |
(/.f64 c b_2) |
(/.f64 (*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a)) |
(*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) |
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) |
(neg.f64 b_2) |
(fma.f64 (neg.f64 a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a a)) (*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a))) |
(/.f64 (neg.f64 a) a) |
(*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a)) |
(neg.f64 a) |
(exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) a) |
(-.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) |
(/.f64 #s(literal -2 binary64) a) |
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) |
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) |
(/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a a)) |
(log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))) |
(sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))) |
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)) |
| Outputs |
|---|
(* -2 (/ b_2 a)) |
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) |
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a) |
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a) |
(* -2 (* a b_2)) |
(* a (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))) |
(* a (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))))) |
(* a (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3))))))))) |
(* -2 b_2) |
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2)) |
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2)) |
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2)) |
-1 |
(* -1 (/ b_2 a)) |
(* -1 a) |
(pow b_2 2) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(/ -2 a) |
b_2 |
(+ b_2 (* -1/2 (/ (* a c) b_2))) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))) |
(/ b_2 (pow a 2)) |
(/ (+ b_2 (* -1/2 (/ (* a c) b_2))) (pow a 2)) |
(/ (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) (pow a 2)) |
(/ (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))) (pow a 2)) |
(log (pow b_2 2)) |
(+ (log (pow b_2 2)) (* -1 (/ (* a c) (pow b_2 2)))) |
(+ (log (pow b_2 2)) (* a (+ (* -1 (/ c (pow b_2 2))) (* -1/2 (/ (* a (pow c 2)) (pow b_2 4)))))) |
(+ (log (pow b_2 2)) (* a (+ (* -1 (/ c (pow b_2 2))) (* a (+ (* -1/2 (/ (pow c 2) (pow b_2 4))) (* -1/3 (/ (* a (pow c 3)) (pow b_2 6)))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))) |
(* 1/2 (/ c b_2)) |
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))) |
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))) |
(* -1 (* a c)) |
(* a (- (/ (pow b_2 2) a) c)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* (sqrt (/ c (pow a 3))) (sqrt -1)) |
(/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) a) |
(/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) a) |
(/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) a) |
(+ (log (neg c)) (* -1 (log (/ 1 a)))) |
(+ (log (neg c)) (+ (* -1 (log (/ 1 a))) (* -1 (/ (pow b_2 2) (* a c))))) |
(+ (log (neg c)) (+ (* -1 (log (/ 1 a))) (+ (* -1 (/ (pow b_2 2) (* a c))) (* -1/2 (/ (pow b_2 4) (* (pow a 2) (pow c 2))))))) |
(+ (log (neg c)) (+ (* -1 (log (/ 1 a))) (+ (* -1 (/ (pow b_2 2) (* a c))) (+ (* -1/2 (/ (pow b_2 4) (* (pow a 2) (pow c 2)))) (* -1/3 (/ (pow b_2 6) (* (pow a 3) (pow c 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* (sqrt (* (pow a 3) c)) (sqrt -1)) |
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* (pow a 2) (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* (pow a 2) (+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* (sqrt (/ c (pow a 3))) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) a)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) a)) |
(+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))) |
(+ (log (neg (* -1 c))) (+ (* -1 (log (/ -1 a))) (* -1 (/ (pow b_2 2) (* a c))))) |
(+ (log (neg (* -1 c))) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* 1/2 (/ (pow b_2 4) (* a (pow c 2)))) (/ (pow b_2 2) c)) a)))) |
(+ (log (neg (* -1 c))) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow b_2 4) (pow c 2))) (* -1/3 (/ (pow b_2 6) (* a (pow c 3))))) a)) (/ (pow b_2 2) c)) a)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a)))) |
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2) |
(/ 1/2 b_2) |
(/ c b_2) |
(+ (* -1 (* a b_2)) (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))) |
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* b_2 (+ (* -1 a) (* -1/2 (* (sqrt (/ a c)) (/ b_2 (sqrt -1))))))) |
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* b_2 (+ (* -1 a) (* b_2 (+ (* -1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))))) |
(- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(- (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(- (* b_2 (- (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(* -1 b_2) |
(- (pow b_2 2) (* a c)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5))))))))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c (pow a 3))) (sqrt -1))) |
(+ (* (sqrt (/ c (pow a 3))) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (/ c (pow a 3))) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 9) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5))))))))) |
(log (neg (* a c))) |
(+ (log (neg (* a c))) (* -1 (/ (pow b_2 2) (* a c)))) |
(+ (log (neg (* a c))) (* (pow b_2 2) (- (* -1/2 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c))))) |
(+ (log (neg (* a c))) (* (pow b_2 2) (- (* (pow b_2 2) (- (* -1/3 (/ (pow b_2 2) (* (pow a 3) (pow c 3)))) (* 1/2 (/ 1 (* (pow a 2) (pow c 2)))))) (/ 1 (* a c))))) |
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))) |
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a)))) |
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a)))) |
(* b_2 (+ (* -2 a) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2))))) |
(* b_2 (+ (* -2 a) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))) |
(* b_2 (+ (* -2 a) (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2))))))) |
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2)) |
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))) |
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))) |
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))) |
(* b_2 (+ (* -1/2 (/ c (* a (pow b_2 2)))) (/ 1 (pow a 2)))) |
(* b_2 (+ (* -1/2 (/ c (* a (pow b_2 2)))) (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (/ 1 (pow a 2))))) |
(* b_2 (+ (* -1/2 (/ c (* a (pow b_2 2)))) (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (+ (* -1/16 (/ (* a (pow c 3)) (pow b_2 6))) (/ 1 (pow a 2)))))) |
(* -2 (log (/ 1 b_2))) |
(+ (* -2 (log (/ 1 b_2))) (* -1 (/ (* a c) (pow b_2 2)))) |
(+ (* -2 (log (/ 1 b_2))) (+ (* -1 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))) |
(+ (* -2 (log (/ 1 b_2))) (+ (* -1 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/3 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))) |
(* -1/2 (/ c b_2)) |
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)) |
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2)) |
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2)) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))) |
(* -1/2 (/ (* (pow a 2) c) b_2)) |
(* -1 (/ (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2))) (* 1/2 (* (pow a 2) c))) b_2)) |
(* -1 (/ (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2))) (* 1/2 (* (pow a 2) c)))) b_2)) |
(* -1 (/ (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2))) (+ (* 1/2 (* (pow a 2) c)) (* 1/2 (/ (* a (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4))))) (pow b_2 6)))))) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2)) |
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)) |
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))) |
(* -1 (/ b_2 (pow a 2))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (* a (pow b_2 2)))) (/ 1 (pow a 2))))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (* a (pow b_2 2)))) (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (/ 1 (pow a 2)))))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (* a (pow b_2 2)))) (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (+ (* -1/16 (/ (* a (pow c 3)) (pow b_2 6))) (/ 1 (pow a 2))))))) |
(* -2 (log (/ -1 b_2))) |
(+ (* -2 (log (/ -1 b_2))) (* -1 (/ (* a c) (pow b_2 2)))) |
(+ (* -2 (log (/ -1 b_2))) (+ (* -1 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))) |
(+ (* -2 (log (/ -1 b_2))) (+ (* -1 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/3 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))) |
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))) |
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2))))) |
(+ (* -2 (* a b_2)) (* 1/2 (/ (* (pow a 2) c) b_2))) |
(+ (* -2 (* a b_2)) (* c (+ (* 1/8 (/ (* (pow a 3) c) (pow b_2 3))) (* 1/2 (/ (pow a 2) b_2))))) |
(+ (* -2 (* a b_2)) (* c (+ (* 1/2 (/ (pow a 2) b_2)) (* c (+ (* 1/16 (/ (* (pow a 4) c) (pow b_2 5))) (* 1/8 (/ (pow a 3) (pow b_2 3)))))))) |
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2)) |
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2)) |
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))) |
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))) |
(+ (* -1/2 (/ c (* a b_2))) (/ b_2 (pow a 2))) |
(+ (* c (- (* -1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2))))) (/ b_2 (pow a 2))) |
(+ (* c (- (* c (- (* -1/16 (/ (* a c) (pow b_2 5))) (* 1/8 (/ 1 (pow b_2 3))))) (* 1/2 (/ 1 (* a b_2))))) (/ b_2 (pow a 2))) |
(+ (log (pow b_2 2)) (* c (+ (* -1 (/ a (pow b_2 2))) (* -1/2 (/ (* (pow a 2) c) (pow b_2 4)))))) |
(+ (log (pow b_2 2)) (* c (+ (* -1 (/ a (pow b_2 2))) (* c (+ (* -1/2 (/ (pow a 2) (pow b_2 4))) (* -1/3 (/ (* (pow a 3) c) (pow b_2 6)))))))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c))))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1))))))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))) |
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))) |
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c)))) |
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1 (/ (* a b_2) c)) (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1))))))) |
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1 (/ (* a b_2) c)) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))) |
(* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))) |
(* c (- (/ (pow b_2 2) c) a)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 9) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1)))))) |
(+ (log (neg a)) (* -1 (log (/ 1 c)))) |
(+ (log (neg a)) (+ (* -1 (log (/ 1 c))) (* -1 (/ (pow b_2 2) (* a c))))) |
(+ (log (neg a)) (+ (* -1 (log (/ 1 c))) (+ (* -1 (/ (pow b_2 2) (* a c))) (* -1/2 (/ (pow b_2 4) (* (pow a 2) (pow c 2))))))) |
(+ (log (neg a)) (+ (* -1 (log (/ 1 c))) (+ (* -1 (/ (pow b_2 2) (* a c))) (+ (* -1/2 (/ (pow b_2 4) (* (pow a 2) (pow c 2)))) (* -1/3 (/ (pow b_2 6) (* (pow a 3) (pow c 3)))))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c))))) |
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c)))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b_2 4) (sqrt -1))))) c))) c))))) |
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 9) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))))) |
(+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))) |
(+ (log (neg (* -1 a))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (pow b_2 2) (* a c))))) |
(+ (log (neg (* -1 a))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* 1/2 (/ (pow b_2 4) (* (pow a 2) c))) (/ (pow b_2 2) a)) c)))) |
(+ (log (neg (* -1 a))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow b_2 4) (pow a 2))) (* -1/3 (/ (pow b_2 6) (* (pow a 3) c)))) c)) (/ (pow b_2 2) a)) c)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | a | @ | -inf | ((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* b_2 (/ -2 a))) (/ 1/2 b_2) (* b_2 (/ -2 a)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ c b_2) 1/2) (/ c b_2) (/ (* a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (* a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (+ (* (neg a) (/ (sqrt (- (* b_2 b_2) (* a c))) (* a a))) (* (/ (neg a) a) (/ b_2 a))) (/ (neg a) a) (* (/ (neg a) a) (/ b_2 a)) (neg a) (exp (log (- (* b_2 b_2) (* a c)))) (/ (- (neg b_2) (sqrt (exp (log (- (* b_2 b_2) (* a c)))))) a) (- (neg b_2) (sqrt (exp (log (- (* b_2 b_2) (* a c)))))) (/ -2 a) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (/ (sqrt (- (* b_2 b_2) (* a c))) (* a a)) (log (- (* b_2 b_2) (* a c))) (sqrt (exp (log (- (* b_2 b_2) (* a c))))) (- (* b_2 b_2) (* a c))) |
| 5.0ms | c | @ | inf | ((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* b_2 (/ -2 a))) (/ 1/2 b_2) (* b_2 (/ -2 a)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ c b_2) 1/2) (/ c b_2) (/ (* a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (* a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (+ (* (neg a) (/ (sqrt (- (* b_2 b_2) (* a c))) (* a a))) (* (/ (neg a) a) (/ b_2 a))) (/ (neg a) a) (* (/ (neg a) a) (/ b_2 a)) (neg a) (exp (log (- (* b_2 b_2) (* a c)))) (/ (- (neg b_2) (sqrt (exp (log (- (* b_2 b_2) (* a c)))))) a) (- (neg b_2) (sqrt (exp (log (- (* b_2 b_2) (* a c)))))) (/ -2 a) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (/ (sqrt (- (* b_2 b_2) (* a c))) (* a a)) (log (- (* b_2 b_2) (* a c))) (sqrt (exp (log (- (* b_2 b_2) (* a c))))) (- (* b_2 b_2) (* a c))) |
| 4.0ms | b_2 | @ | inf | ((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* b_2 (/ -2 a))) (/ 1/2 b_2) (* b_2 (/ -2 a)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ c b_2) 1/2) (/ c b_2) (/ (* a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (* a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (+ (* (neg a) (/ (sqrt (- (* b_2 b_2) (* a c))) (* a a))) (* (/ (neg a) a) (/ b_2 a))) (/ (neg a) a) (* (/ (neg a) a) (/ b_2 a)) (neg a) (exp (log (- (* b_2 b_2) (* a c)))) (/ (- (neg b_2) (sqrt (exp (log (- (* b_2 b_2) (* a c)))))) a) (- (neg b_2) (sqrt (exp (log (- (* b_2 b_2) (* a c)))))) (/ -2 a) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (/ (sqrt (- (* b_2 b_2) (* a c))) (* a a)) (log (- (* b_2 b_2) (* a c))) (sqrt (exp (log (- (* b_2 b_2) (* a c))))) (- (* b_2 b_2) (* a c))) |
| 4.0ms | b_2 | @ | 0 | ((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* b_2 (/ -2 a))) (/ 1/2 b_2) (* b_2 (/ -2 a)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ c b_2) 1/2) (/ c b_2) (/ (* a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (* a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (+ (* (neg a) (/ (sqrt (- (* b_2 b_2) (* a c))) (* a a))) (* (/ (neg a) a) (/ b_2 a))) (/ (neg a) a) (* (/ (neg a) a) (/ b_2 a)) (neg a) (exp (log (- (* b_2 b_2) (* a c)))) (/ (- (neg b_2) (sqrt (exp (log (- (* b_2 b_2) (* a c)))))) a) (- (neg b_2) (sqrt (exp (log (- (* b_2 b_2) (* a c)))))) (/ -2 a) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (/ (sqrt (- (* b_2 b_2) (* a c))) (* a a)) (log (- (* b_2 b_2) (* a c))) (sqrt (exp (log (- (* b_2 b_2) (* a c))))) (- (* b_2 b_2) (* a c))) |
| 3.0ms | b_2 | @ | -inf | ((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* b_2 (/ -2 a))) (/ 1/2 b_2) (* b_2 (/ -2 a)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ c b_2) 1/2) (/ c b_2) (/ (* a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (* a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (+ (* (neg a) (/ (sqrt (- (* b_2 b_2) (* a c))) (* a a))) (* (/ (neg a) a) (/ b_2 a))) (/ (neg a) a) (* (/ (neg a) a) (/ b_2 a)) (neg a) (exp (log (- (* b_2 b_2) (* a c)))) (/ (- (neg b_2) (sqrt (exp (log (- (* b_2 b_2) (* a c)))))) a) (- (neg b_2) (sqrt (exp (log (- (* b_2 b_2) (* a c)))))) (/ -2 a) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (/ (sqrt (- (* b_2 b_2) (* a c))) (* a a)) (log (- (* b_2 b_2) (* a c))) (sqrt (exp (log (- (* b_2 b_2) (* a c))))) (- (* b_2 b_2) (* a c))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 942 | 5626 |
| 1 | 3206 | 5517 |
| 0 | 8692 | 5262 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -2 (/ b_2 a)) |
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) |
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a) |
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a) |
(* -2 (* a b_2)) |
(* a (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))) |
(* a (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))))) |
(* a (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3))))))))) |
(* -2 b_2) |
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2)) |
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2)) |
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2)) |
-1 |
(* -1 (/ b_2 a)) |
(* -1 a) |
(pow b_2 2) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(/ -2 a) |
b_2 |
(+ b_2 (* -1/2 (/ (* a c) b_2))) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))) |
(/ b_2 (pow a 2)) |
(/ (+ b_2 (* -1/2 (/ (* a c) b_2))) (pow a 2)) |
(/ (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) (pow a 2)) |
(/ (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))) (pow a 2)) |
(log (pow b_2 2)) |
(+ (log (pow b_2 2)) (* -1 (/ (* a c) (pow b_2 2)))) |
(+ (log (pow b_2 2)) (* a (+ (* -1 (/ c (pow b_2 2))) (* -1/2 (/ (* a (pow c 2)) (pow b_2 4)))))) |
(+ (log (pow b_2 2)) (* a (+ (* -1 (/ c (pow b_2 2))) (* a (+ (* -1/2 (/ (pow c 2) (pow b_2 4))) (* -1/3 (/ (* a (pow c 3)) (pow b_2 6)))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))) |
(* 1/2 (/ c b_2)) |
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))) |
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))) |
(* -1 (* a c)) |
(* a (- (/ (pow b_2 2) a) c)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* (sqrt (/ c (pow a 3))) (sqrt -1)) |
(/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) a) |
(/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) a) |
(/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) a) |
(+ (log (neg c)) (* -1 (log (/ 1 a)))) |
(+ (log (neg c)) (+ (* -1 (log (/ 1 a))) (* -1 (/ (pow b_2 2) (* a c))))) |
(+ (log (neg c)) (+ (* -1 (log (/ 1 a))) (+ (* -1 (/ (pow b_2 2) (* a c))) (* -1/2 (/ (pow b_2 4) (* (pow a 2) (pow c 2))))))) |
(+ (log (neg c)) (+ (* -1 (log (/ 1 a))) (+ (* -1 (/ (pow b_2 2) (* a c))) (+ (* -1/2 (/ (pow b_2 4) (* (pow a 2) (pow c 2)))) (* -1/3 (/ (pow b_2 6) (* (pow a 3) (pow c 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* (sqrt (* (pow a 3) c)) (sqrt -1)) |
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* (pow a 2) (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* (pow a 2) (+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* (sqrt (/ c (pow a 3))) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) a)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) a)) |
(+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))) |
(+ (log (neg (* -1 c))) (+ (* -1 (log (/ -1 a))) (* -1 (/ (pow b_2 2) (* a c))))) |
(+ (log (neg (* -1 c))) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* 1/2 (/ (pow b_2 4) (* a (pow c 2)))) (/ (pow b_2 2) c)) a)))) |
(+ (log (neg (* -1 c))) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow b_2 4) (pow c 2))) (* -1/3 (/ (pow b_2 6) (* a (pow c 3))))) a)) (/ (pow b_2 2) c)) a)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a)))) |
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2) |
(/ 1/2 b_2) |
(/ c b_2) |
(+ (* -1 (* a b_2)) (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))) |
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* b_2 (+ (* -1 a) (* -1/2 (* (sqrt (/ a c)) (/ b_2 (sqrt -1))))))) |
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* b_2 (+ (* -1 a) (* b_2 (+ (* -1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))))) |
(- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(- (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(- (* b_2 (- (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(* -1 b_2) |
(- (pow b_2 2) (* a c)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5))))))))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c (pow a 3))) (sqrt -1))) |
(+ (* (sqrt (/ c (pow a 3))) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (/ c (pow a 3))) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 9) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5))))))))) |
(log (neg (* a c))) |
(+ (log (neg (* a c))) (* -1 (/ (pow b_2 2) (* a c)))) |
(+ (log (neg (* a c))) (* (pow b_2 2) (- (* -1/2 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c))))) |
(+ (log (neg (* a c))) (* (pow b_2 2) (- (* (pow b_2 2) (- (* -1/3 (/ (pow b_2 2) (* (pow a 3) (pow c 3)))) (* 1/2 (/ 1 (* (pow a 2) (pow c 2)))))) (/ 1 (* a c))))) |
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))) |
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a)))) |
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a)))) |
(* b_2 (+ (* -2 a) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2))))) |
(* b_2 (+ (* -2 a) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))) |
(* b_2 (+ (* -2 a) (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2))))))) |
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2)) |
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))) |
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))) |
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))) |
(* b_2 (+ (* -1/2 (/ c (* a (pow b_2 2)))) (/ 1 (pow a 2)))) |
(* b_2 (+ (* -1/2 (/ c (* a (pow b_2 2)))) (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (/ 1 (pow a 2))))) |
(* b_2 (+ (* -1/2 (/ c (* a (pow b_2 2)))) (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (+ (* -1/16 (/ (* a (pow c 3)) (pow b_2 6))) (/ 1 (pow a 2)))))) |
(* -2 (log (/ 1 b_2))) |
(+ (* -2 (log (/ 1 b_2))) (* -1 (/ (* a c) (pow b_2 2)))) |
(+ (* -2 (log (/ 1 b_2))) (+ (* -1 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))) |
(+ (* -2 (log (/ 1 b_2))) (+ (* -1 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/3 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))) |
(* -1/2 (/ c b_2)) |
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)) |
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2)) |
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2)) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))) |
(* -1/2 (/ (* (pow a 2) c) b_2)) |
(* -1 (/ (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2))) (* 1/2 (* (pow a 2) c))) b_2)) |
(* -1 (/ (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2))) (* 1/2 (* (pow a 2) c)))) b_2)) |
(* -1 (/ (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2))) (+ (* 1/2 (* (pow a 2) c)) (* 1/2 (/ (* a (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4))))) (pow b_2 6)))))) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2)) |
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)) |
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))) |
(* -1 (/ b_2 (pow a 2))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (* a (pow b_2 2)))) (/ 1 (pow a 2))))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (* a (pow b_2 2)))) (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (/ 1 (pow a 2)))))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (* a (pow b_2 2)))) (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (+ (* -1/16 (/ (* a (pow c 3)) (pow b_2 6))) (/ 1 (pow a 2))))))) |
(* -2 (log (/ -1 b_2))) |
(+ (* -2 (log (/ -1 b_2))) (* -1 (/ (* a c) (pow b_2 2)))) |
(+ (* -2 (log (/ -1 b_2))) (+ (* -1 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))) |
(+ (* -2 (log (/ -1 b_2))) (+ (* -1 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/3 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))) |
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))) |
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2))))) |
(+ (* -2 (* a b_2)) (* 1/2 (/ (* (pow a 2) c) b_2))) |
(+ (* -2 (* a b_2)) (* c (+ (* 1/8 (/ (* (pow a 3) c) (pow b_2 3))) (* 1/2 (/ (pow a 2) b_2))))) |
(+ (* -2 (* a b_2)) (* c (+ (* 1/2 (/ (pow a 2) b_2)) (* c (+ (* 1/16 (/ (* (pow a 4) c) (pow b_2 5))) (* 1/8 (/ (pow a 3) (pow b_2 3)))))))) |
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2)) |
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2)) |
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))) |
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))) |
(+ (* -1/2 (/ c (* a b_2))) (/ b_2 (pow a 2))) |
(+ (* c (- (* -1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2))))) (/ b_2 (pow a 2))) |
(+ (* c (- (* c (- (* -1/16 (/ (* a c) (pow b_2 5))) (* 1/8 (/ 1 (pow b_2 3))))) (* 1/2 (/ 1 (* a b_2))))) (/ b_2 (pow a 2))) |
(+ (log (pow b_2 2)) (* c (+ (* -1 (/ a (pow b_2 2))) (* -1/2 (/ (* (pow a 2) c) (pow b_2 4)))))) |
(+ (log (pow b_2 2)) (* c (+ (* -1 (/ a (pow b_2 2))) (* c (+ (* -1/2 (/ (pow a 2) (pow b_2 4))) (* -1/3 (/ (* (pow a 3) c) (pow b_2 6)))))))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c))))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1))))))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))) |
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))) |
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c)))) |
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1 (/ (* a b_2) c)) (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1))))))) |
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1 (/ (* a b_2) c)) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))) |
(* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))) |
(* c (- (/ (pow b_2 2) c) a)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 9) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1)))))) |
(+ (log (neg a)) (* -1 (log (/ 1 c)))) |
(+ (log (neg a)) (+ (* -1 (log (/ 1 c))) (* -1 (/ (pow b_2 2) (* a c))))) |
(+ (log (neg a)) (+ (* -1 (log (/ 1 c))) (+ (* -1 (/ (pow b_2 2) (* a c))) (* -1/2 (/ (pow b_2 4) (* (pow a 2) (pow c 2))))))) |
(+ (log (neg a)) (+ (* -1 (log (/ 1 c))) (+ (* -1 (/ (pow b_2 2) (* a c))) (+ (* -1/2 (/ (pow b_2 4) (* (pow a 2) (pow c 2)))) (* -1/3 (/ (pow b_2 6) (* (pow a 3) (pow c 3)))))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c))))) |
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c)))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b_2 4) (sqrt -1))))) c))) c))))) |
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 9) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))))) |
(+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))) |
(+ (log (neg (* -1 a))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (pow b_2 2) (* a c))))) |
(+ (log (neg (* -1 a))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* 1/2 (/ (pow b_2 4) (* (pow a 2) c))) (/ (pow b_2 2) a)) c)))) |
(+ (log (neg (* -1 a))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow b_2 4) (pow a 2))) (* -1/3 (/ (pow b_2 6) (* (pow a 3) c)))) c)) (/ (pow b_2 2) a)) c)))) |
| Outputs |
|---|
(* -2 (/ b_2 a)) |
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) |
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) |
(/.f64 (fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2)) a) |
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a) |
(/.f64 (fma.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 c c) a)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) b_2)) a) |
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (*.f64 #s(literal -2 binary64) b_2)) a) |
(* -2 (* a b_2)) |
(*.f64 (*.f64 a b_2) #s(literal -2 binary64)) |
(* a (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2)) a) |
(* a (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 c c) a)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) b_2)) a) |
(* a (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (*.f64 #s(literal -2 binary64) b_2)) a) |
(* -2 b_2) |
(*.f64 #s(literal -2 binary64) b_2) |
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2)) |
(fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2)) |
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2)) |
(fma.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 c c) a)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) b_2)) |
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (*.f64 #s(literal -2 binary64) b_2)) |
-1 |
#s(literal -1 binary64) |
(* -1 (/ b_2 a)) |
(/.f64 (neg.f64 b_2) a) |
(* -1 a) |
(neg.f64 a) |
(pow b_2 2) |
(*.f64 b_2 b_2) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)) |
(/ -2 a) |
(/.f64 #s(literal -2 binary64) a) |
b_2 |
(+ b_2 (* -1/2 (/ (* a c) b_2))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 c b_2) b_2) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -1/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a b_2) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) c) c) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a b_2) |
(/ b_2 (pow a 2)) |
(/.f64 b_2 (*.f64 a a)) |
(/ (+ b_2 (* -1/2 (/ (* a c) b_2))) (pow a 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 c b_2) b_2) (*.f64 a a)) |
(/ (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) (pow a 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -1/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a b_2) (*.f64 a a)) |
(/ (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))) (pow a 2)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) c) c) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a b_2) (*.f64 a a)) |
(log (pow b_2 2)) |
(log.f64 (*.f64 b_2 b_2)) |
(+ (log (pow b_2 2)) (* -1 (/ (* a c) (pow b_2 2)))) |
(fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) (log.f64 (*.f64 b_2 b_2))) |
(+ (log (pow b_2 2)) (* a (+ (* -1 (/ c (pow b_2 2))) (* -1/2 (/ (* a (pow c 2)) (pow b_2 4)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 c) (*.f64 b_2 b_2))) a (log.f64 (*.f64 b_2 b_2))) |
(+ (log (pow b_2 2)) (* a (+ (* -1 (/ c (pow b_2 2))) (* a (+ (* -1/2 (/ (pow c 2) (pow b_2 4))) (* -1/3 (/ (* a (pow c 3)) (pow b_2 6)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) c) (pow.f64 b_2 #s(literal 4 binary64)))) a (/.f64 (neg.f64 c) (*.f64 b_2 b_2))) a (log.f64 (*.f64 b_2 b_2))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal -1/2 binary64) (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))) |
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (fma.f64 (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/8 binary64) (/.f64 (neg.f64 b_2) a)))) |
(* 1/2 (/ c b_2)) |
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) |
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))) |
(fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))) |
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))) |
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))) (*.f64 a a)) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal -1/2 binary64) (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))) (*.f64 a a)) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))) |
(*.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (fma.f64 (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/8 binary64) (/.f64 (neg.f64 b_2) a)))) (*.f64 a a)) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))) a) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))) a) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))) a) |
(* -1 (* a c)) |
(*.f64 (neg.f64 c) a) |
(* a (- (/ (pow b_2 2) a) c)) |
(*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) a) c) a) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
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(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64)))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64))))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 9) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 9 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64)))))) c) |
(+ (log (neg a)) (* -1 (log (/ 1 c)))) |
(+.f64 (log.f64 c) (log.f64 (neg.f64 a))) |
(+ (log (neg a)) (+ (* -1 (log (/ 1 c))) (* -1 (/ (pow b_2 2) (* a c))))) |
(-.f64 (+.f64 (log.f64 c) (log.f64 (neg.f64 a))) (/.f64 (/.f64 (*.f64 b_2 b_2) a) c)) |
(+ (log (neg a)) (+ (* -1 (log (/ 1 c))) (+ (* -1 (/ (pow b_2 2) (* a c))) (* -1/2 (/ (pow b_2 4) (* (pow a 2) (pow c 2))))))) |
(+.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 c c)) (-.f64 (log.f64 c) (/.f64 (/.f64 (*.f64 b_2 b_2) a) c))) (log.f64 (neg.f64 a))) |
(+ (log (neg a)) (+ (* -1 (log (/ 1 c))) (+ (* -1 (/ (pow b_2 2) (* a c))) (+ (* -1/2 (/ (pow b_2 4) (* (pow a 2) (pow c 2)))) (* -1/3 (/ (pow b_2 6) (* (pow a 3) (pow c 3)))))))) |
(+.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 c c)) (-.f64 (log.f64 c) (/.f64 (/.f64 (*.f64 b_2 b_2) a) c))) (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 b_2 #s(literal 6 binary64))) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (log.f64 (neg.f64 a))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))) |
(*.f64 (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (/.f64 (/.f64 b_2 a) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c))))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 (neg.f64 b_2) a)) c))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c))))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b_2 b_2))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (pow.f64 b_2 #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) c)) c))) |
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))) |
(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 b_2 a) c) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) b_2)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c)))) |
(*.f64 (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (/.f64 (*.f64 a b_2) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) c))))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (neg.f64 b_2) a)) c))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b_2 4) (sqrt -1))))) c))) c))))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 a b_2 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b_2 b_2)) #s(literal -1/2 binary64))) c))) c))) |
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1))))) |
(*.f64 (-.f64 (/.f64 b_2 c) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c)) |
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (*.f64 b_2 b_2))) (sqrt.f64 #s(literal -1 binary64))) b_2) (neg.f64 c)) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c)) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b_2 #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 b_2 b_2)))) (neg.f64 c)) b_2) (neg.f64 c)) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c)) |
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) c) a) c) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 c)) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 9) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 9 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 c)) |
(+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))) |
(-.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) c))) |
(+ (log (neg (* -1 a))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (pow b_2 2) (* a c))))) |
(fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 b_2 c) (/.f64 b_2 a) (log.f64 (/.f64 #s(literal -1 binary64) c))) (log.f64 a)) |
(+ (log (neg (* -1 a))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* 1/2 (/ (pow b_2 4) (* (pow a 2) c))) (/ (pow b_2 2) a)) c)))) |
(-.f64 (-.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) c))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) c) (/.f64 (*.f64 b_2 b_2) a)) c)) |
(+ (log (neg (* -1 a))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow b_2 4) (pow a 2))) (* -1/3 (/ (pow b_2 6) (* (pow a 3) c)))) c)) (/ (pow b_2 2) a)) c)))) |
(-.f64 (-.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) c))) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) a) (*.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) c))) (neg.f64 c)) (/.f64 (*.f64 b_2 b_2) a)) c)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 329 |
| 0 | 76 | 319 |
| 1 | 249 | 306 |
| 2 | 1648 | 301 |
| 0 | 8113 | 301 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a))) |
(/.f64 #s(literal 1/2 binary64) b_2) |
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) |
(/.f64 c b_2) |
(/.f64 (*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a)) |
(*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) |
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) |
(neg.f64 b_2) |
(fma.f64 (neg.f64 a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a a)) (*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a))) |
(/.f64 (neg.f64 a) a) |
(*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a)) |
(neg.f64 a) |
(exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) a) |
(-.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) |
(/.f64 #s(literal -2 binary64) a) |
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) |
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) |
(/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a a)) |
(log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))) |
(sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))) |
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)) |
| Outputs |
|---|
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 #s(literal -2 binary64) a) b_2))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 b_2 a)))))) |
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(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 c #s(literal -1/2 binary64)))) (*.f64 (neg.f64 a) (neg.f64 b_2))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 b_2) (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (neg.f64 c)))) (*.f64 (neg.f64 a) (neg.f64 b_2))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 b_2) (*.f64 (neg.f64 a) (neg.f64 (*.f64 #s(literal 1/2 binary64) c)))) (*.f64 (neg.f64 a) (neg.f64 b_2))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) b_2 (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) c))) (*.f64 (neg.f64 a) b_2)) |
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) b_2) (neg.f64 b_2) (*.f64 a (*.f64 #s(literal -1/2 binary64) c))) (*.f64 a (neg.f64 b_2))) |
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) b_2) (neg.f64 b_2) (*.f64 a (*.f64 (neg.f64 c) #s(literal 1/2 binary64)))) (*.f64 a (neg.f64 b_2))) |
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) b_2) (neg.f64 b_2) (*.f64 a (*.f64 c #s(literal -1/2 binary64)))) (*.f64 a (neg.f64 b_2))) |
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) b_2) (neg.f64 b_2) (*.f64 a (*.f64 #s(literal 1/2 binary64) (neg.f64 c)))) (*.f64 a (neg.f64 b_2))) |
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) b_2) (neg.f64 b_2) (*.f64 a (neg.f64 (*.f64 #s(literal 1/2 binary64) c)))) (*.f64 a (neg.f64 b_2))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (*.f64 (/.f64 (neg.f64 b_2) a) #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 b_2 a))))) |
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(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) a (*.f64 b_2 (*.f64 #s(literal -2 binary64) b_2))) (*.f64 b_2 a)) |
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) b_2) b_2 (*.f64 a (*.f64 #s(literal 1/2 binary64) c))) (*.f64 a b_2)) |
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(/.f64 (fma.f64 (pow.f64 (/.f64 c b_2) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (/.f64 b_2 a))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 c b_2) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 b_2)) (/.f64 #s(literal -2 binary64) a))) |
(fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -2 binary64) a) b_2)) |
(fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -2 binary64) (/.f64 b_2 a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (neg.f64 (neg.f64 b_2)) (/.f64 #s(literal -2 binary64) a))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 #s(literal -2 binary64) a) b_2)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (neg.f64 (neg.f64 b_2)) (/.f64 #s(literal -2 binary64) a))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 #s(literal -2 binary64) a) b_2)) |
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 (neg.f64 (neg.f64 b_2)) (/.f64 #s(literal -2 binary64) a))) |
(fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 (/.f64 #s(literal -2 binary64) a) b_2)) |
(fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (*.f64 (/.f64 (neg.f64 b_2) a) #s(literal -2 binary64)))))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (*.f64 (/.f64 (neg.f64 b_2) a) #s(literal -2 binary64))))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 b_2 a)))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 2 binary64)) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 b_2 a))))) |
(-.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal -2 binary64) a)) b_2)) |
(-.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 b_2 a))) |
(-.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (*.f64 (/.f64 (neg.f64 b_2) a) #s(literal -2 binary64))) |
(-.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) b_2)) c)) |
(-.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (*.f64 (neg.f64 c) (/.f64 #s(literal 1/2 binary64) b_2))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))))) |
(+.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 b_2)) (/.f64 #s(literal -2 binary64) a))) |
(+.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) a) b_2)) |
(+.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (neg.f64 b_2)))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 b_2)) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 b_2))) |
(/.f64 #s(literal 1/2 binary64) b_2) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) b_2)) |
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) |
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2) |
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) |
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) b_2)) a) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (neg.f64 b_2))) a) |
(/.f64 (neg.f64 (*.f64 b_2 #s(literal 2 binary64))) a) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2))) a) |
(/.f64 (neg.f64 (*.f64 (neg.f64 b_2) #s(literal -2 binary64))) a) |
(/.f64 (*.f64 #s(literal 2 binary64) b_2) (neg.f64 a)) |
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 b_2)) (neg.f64 a)) |
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) (neg.f64 a)) |
(/.f64 (*.f64 (neg.f64 b_2) #s(literal -2 binary64)) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 a)) |
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) |
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) |
(*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) c)) (neg.f64 (neg.f64 b_2))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 b_2))) |
(/.f64 (neg.f64 (*.f64 c #s(literal -1/2 binary64))) (neg.f64 (neg.f64 b_2))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c))) (neg.f64 (neg.f64 b_2))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c))) (neg.f64 (neg.f64 b_2))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) (neg.f64 b_2)) |
(/.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) (neg.f64 b_2)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) (neg.f64 b_2)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c)) (neg.f64 b_2)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 b_2)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (neg.f64 (neg.f64 (neg.f64 b_2)))) |
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 b_2))) |
(/.f64 (neg.f64 c) (neg.f64 b_2)) |
(/.f64 c b_2) |
(neg.f64 (/.f64 (neg.f64 c) b_2)) |
(neg.f64 (/.f64 c (neg.f64 b_2))) |
(*.f64 (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (neg.f64 a)) #s(literal -1 binary64)) |
(*.f64 (/.f64 (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a) a) a) |
(*.f64 (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a)) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (neg.f64 a))) |
(*.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (/.f64 a (*.f64 a a))) |
(*.f64 a (/.f64 (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a) a)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 a) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) a)) a) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) #s(literal 1 binary64)))) a) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 a) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))))) (*.f64 (neg.f64 a) a)) |
(/.f64 (/.f64 (*.f64 (neg.f64 a) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) a) (neg.f64 a)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) a) |
(/.f64 (neg.f64 (*.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) #s(literal 1 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 a) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))) (*.f64 a a)) |
(/.f64 (*.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) #s(literal 1 binary64)) a) |
(/.f64 (*.f64 (neg.f64 a) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 (neg.f64 a) a)) |
(/.f64 (*.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a) (*.f64 a a)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 a) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a))) |
(*.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a) |
(*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a)) (neg.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)))) |
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(+.f64 (cosh.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) (sinh.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) |
Compiled 39 899 to 3 904 computations (90.2% saved)
25 alts after pruning (18 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 069 | 6 | 1 075 |
| Fresh | 4 | 12 | 16 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 075 | 25 | 1 100 |
| Status | Accuracy | Program |
|---|---|---|
| 15.9% | (fma.f64 (neg.f64 a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a a)) #s(approx (* (/ (neg a) a) (/ b_2 a)) (/.f64 (neg.f64 b_2) a))) | |
| 20.2% | (fma.f64 (neg.f64 a) #s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) (* a a)) (fma.f64 (/.f64 (/.f64 c a) b_2) #s(literal -1/2 binary64) (/.f64 b_2 (*.f64 a a)))) (*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a))) | |
| 30.1% | (/.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2))) | |
| 15.1% | (/.f64 (/.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2))) (*.f64 a a)) | |
| 22.0% | (/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 (+.f64 (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (neg.f64 b_2)) a)) | |
| ✓ | 49.1% | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| ✓ | 22.6% | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) a) |
| ✓ | 31.5% | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a) |
| 11.7% | (/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 c b_2) (/.f64 a b_2)) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) a) | |
| 9.3% | (/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(approx (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_2) (neg b_2)) (*.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (neg.f64 b_2) a)) a)))) a) | |
| 10.9% | (/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(approx (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_2) (neg b_2)) (neg.f64 b_2)))) a) | |
| ✓ | 16.9% | (/.f64 (*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a)) |
| 19.7% | (/.f64 (*.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (*.f64 a a)) | |
| 24.9% | (/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (*.f64 c a)) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) a)) | |
| 22.0% | (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 c c) b_2) (/.f64 (*.f64 a a) b_2)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 c a))) (neg.f64 b_2))) a) | |
| 22.5% | (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) c) a)) (*.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) b_2))) (neg.f64 b_2))) a) | |
| 30.2% | (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) c) b_2)) a) | |
| ✓ | 34.1% | (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
| 9.8% | (/.f64 #s(approx (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (*.f64 (fma.f64 #s(literal 0 binary64) a (fma.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/8 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 (*.f64 a a) c) b_2)))) (neg.f64 b_2))) (*.f64 a a)) | |
| 33.2% | (-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))) a)) | |
| 19.4% | (*.f64 (/.f64 (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a) a) a) | |
| ✓ | 33.9% | #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))) |
| 32.1% | #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) a) b_2) (/.f64 (*.f64 c c) b_2) (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 b_2))) | |
| ✓ | 36.8% | #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
| 10.6% | #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))) |
Compiled 2 157 to 747 computations (65.4% saved)
| Inputs |
|---|
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(approx (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_2) (neg b_2)) (neg.f64 b_2)))) a) |
(/.f64 #s(approx (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (*.f64 (*.f64 a b_2) #s(literal -2 binary64))) (*.f64 a a)) |
(/.f64 (*.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (*.f64 a a)) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a)) a) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) c) b_2)) a) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
(/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (*.f64 c a)) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) a)) |
(/.f64 (*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a)) |
(/.f64 (fma.f64 (neg.f64 b_2) a (*.f64 (neg.f64 a) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a)) |
(*.f64 (/.f64 (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a) a) a) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 #s(approx (* (- 1 (* (/ (/ c b_2) b_2) a)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2))) b_2)))) a) |
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(approx (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_2) (neg b_2)) (*.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (neg.f64 b_2) a)) a)))) a) |
(/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) a)) |
(fma.f64 (neg.f64 a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a a)) #s(approx (* (/ (neg a) a) (/ b_2 a)) (/.f64 (neg.f64 b_2) a))) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 c c) a) b_2) (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 b_2))) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) a) b_2) (/.f64 (*.f64 c c) b_2) (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 b_2))) |
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 c b_2) (/.f64 a b_2)) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) a) |
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) a) |
(/.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2))) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))) a) |
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2))) (*.f64 a a)) |
(fma.f64 (neg.f64 a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a a)) (*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a))) |
(/.f64 (-.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))) a) |
(-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))) a)) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)) (*.f64 (*.f64 #s(literal 1/2 binary64) c) a)) (neg.f64 b_2))) a) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))) (neg.f64 b_2))) a) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 c c) b_2) (/.f64 (*.f64 a a) b_2)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 c a))) (neg.f64 b_2))) a) |
(/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) a)) |
(fma.f64 (neg.f64 a) #s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) (* a a)) (fma.f64 (/.f64 (/.f64 c a) b_2) #s(literal -1/2 binary64) (/.f64 b_2 (*.f64 a a)))) (*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a))) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (*.f64 #s(literal -1/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) a) (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2))) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)) a))) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)))) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))))) a) |
(/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 (+.f64 (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (neg.f64 b_2)) a)) |
(/.f64 #s(approx (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (*.f64 (fma.f64 #s(literal 0 binary64) a (fma.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/8 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 (*.f64 a a) c) b_2)))) (neg.f64 b_2))) (*.f64 a a)) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) c) a)) (*.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) b_2))) (neg.f64 b_2))) a) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))) a) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (*.f64 (/.f64 (neg.f64 b_2) a) #s(literal -2 binary64))))))) |
| Outputs |
|---|
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (*.f64 #s(literal -1/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
4 calls:
| 13.0ms | a |
| 11.0ms | c |
| 11.0ms | b_2 |
| 10.0ms | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.7% | 5 | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 49.1% | 1 | a |
| 87.7% | 3 | b_2 |
| 49.1% | 1 | c |
Compiled 16 to 19 computations (-18.8% saved)
| Inputs |
|---|
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(approx (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_2) (neg b_2)) (neg.f64 b_2)))) a) |
(/.f64 #s(approx (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (*.f64 (*.f64 a b_2) #s(literal -2 binary64))) (*.f64 a a)) |
(/.f64 (*.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (*.f64 a a)) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a)) a) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) c) b_2)) a) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
(/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (*.f64 c a)) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) a)) |
(/.f64 (*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a)) |
(/.f64 (fma.f64 (neg.f64 b_2) a (*.f64 (neg.f64 a) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) (*.f64 a a)) |
(*.f64 (/.f64 (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a) a) a) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 #s(approx (* (- 1 (* (/ (/ c b_2) b_2) a)) b_2) (*.f64 (neg.f64 c) (/.f64 a b_2))) b_2)))) a) |
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(approx (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_2) (neg b_2)) (*.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (neg.f64 b_2) a)) a)))) a) |
(/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2)) a)) |
(fma.f64 (neg.f64 a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a a)) #s(approx (* (/ (neg a) a) (/ b_2 a)) (/.f64 (neg.f64 b_2) a))) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 c c) a) b_2) (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 b_2))) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) a) b_2) (/.f64 (*.f64 c c) b_2) (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 b_2))) |
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 c b_2) (/.f64 a b_2)) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) a) |
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal 1/2 binary64)) b_2 (neg.f64 b_2)))) a) |
(/.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2))) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2)))) a) |
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) a) (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (neg.f64 b_2))) (*.f64 a a)) |
(fma.f64 (neg.f64 a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 a a)) (*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a))) |
(/.f64 (-.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))))) a) |
(-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) b_2) a)) b_2) b_2))) a)) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)) (*.f64 (*.f64 #s(literal 1/2 binary64) c) a)) (neg.f64 b_2))) a) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))) (neg.f64 b_2))) a) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 c c) b_2) (/.f64 (*.f64 a a) b_2)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 c a))) (neg.f64 b_2))) a) |
(/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (*.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a))))) a)) |
(fma.f64 (neg.f64 a) #s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) (* a a)) (fma.f64 (/.f64 (/.f64 c a) b_2) #s(literal -1/2 binary64) (/.f64 b_2 (*.f64 a a)))) (*.f64 (/.f64 (neg.f64 a) a) (/.f64 b_2 a))) |
| Outputs |
|---|
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
1 calls:
| 9.0ms | b_2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.5% | 3 | b_2 |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(approx (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_2) (neg b_2)) (neg.f64 b_2)))) a) |
(/.f64 #s(approx (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (*.f64 (*.f64 a b_2) #s(literal -2 binary64))) (*.f64 a a)) |
(/.f64 (*.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (*.f64 a a)) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a)) a) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) c) b_2)) a) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a) |
| Outputs |
|---|
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) |
1 calls:
| 4.0ms | b_2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.5% | 3 | b_2 |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(approx (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_2) (neg b_2)) (neg.f64 b_2)))) a) |
(/.f64 #s(approx (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (*.f64 (*.f64 a b_2) #s(literal -2 binary64))) (*.f64 a a)) |
(/.f64 (*.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (*.f64 a a)) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a)) a) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) c) b_2)) a) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) |
2 calls:
| 4.0ms | b_2 |
| 3.0ms | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.8% | 4 | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 68.4% | 2 | b_2 |
Compiled 14 to 13 computations (7.1% saved)
| Inputs |
|---|
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(approx (+ (* (* (* (/ (/ c b_2) b_2) a) 1/2) b_2) (neg b_2)) (neg.f64 b_2)))) a) |
(/.f64 #s(approx (+ (* (neg b_2) a) (* (neg a) (sqrt (- (* b_2 b_2) (* a c))))) (*.f64 (*.f64 a b_2) #s(literal -2 binary64))) (*.f64 a a)) |
(/.f64 (*.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (*.f64 a a)) |
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) a)) a) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) c) b_2)) a) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))) |
| Outputs |
|---|
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
1 calls:
| 3.0ms | b_2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.4% | 2 | b_2 |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
| Outputs |
|---|
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
4 calls:
| 2.0ms | b_2 |
| 2.0ms | c |
| 2.0ms | a |
| 1.0ms | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.8% | 1 | a |
| 36.8% | 1 | c |
| 36.8% | 1 | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 36.8% | 1 | b_2 |
Compiled 16 to 19 computations (-18.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))) |
4 calls:
| 1.0ms | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 1.0ms | b_2 |
| 1.0ms | a |
| 1.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 10.6% | 1 | (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 10.6% | 1 | b_2 |
| 10.6% | 1 | c |
| 10.6% | 1 | a |
Compiled 16 to 19 computations (-18.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 2.770934140405263e+59 | 3.458819065747754e+60 |
| 26.0ms | -4.225748700151168e-34 | -1.2091711119367808e-37 |
| 10.0ms | 156× | 0 | valid |
| 8.0ms | 33× | 1 | valid |
| 7.0ms | 35× | 2 | valid |
| 2.0ms | 34× | 0 | invalid |
Compiled 540 to 430 computations (20.4% saved)
ival-mult: 8.0ms (40.7% of total)adjust: 3.0ms (15.3% of total)ival-sub: 3.0ms (15.3% of total)ival-div: 2.0ms (10.2% of total)ival-sqrt: 2.0ms (10.2% of total)ival-neg: 1.0ms (5.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.770934140405263e+59 | 3.458819065747754e+60 |
| 23.0ms | -9.2831294322476e-41 | -3.2021740354657044e-44 |
| 7.0ms | 38× | 2 | valid |
| 4.0ms | 62× | 0 | valid |
| 4.0ms | 28× | 1 | valid |
| 2.0ms | 25× | 0 | invalid |
Compiled 452 to 374 computations (17.3% saved)
adjust: 3.0ms (24.8% of total)ival-mult: 3.0ms (24.8% of total)ival-div: 2.0ms (16.6% of total)ival-sub: 2.0ms (16.6% of total)ival-sqrt: 2.0ms (16.6% of total)ival-neg: 1.0ms (8.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 8.269084166897248e-46 | 1.7511534079945217e-34 |
| 1.0ms | -9.2831294322476e-41 | -3.2021740354657044e-44 |
| 10.0ms | 160× | 0 | valid |
| 2.0ms | 33× | 0 | invalid |
Compiled 732 to 568 computations (22.4% saved)
ival-sub: 2.0ms (26.5% of total)ival-mult: 2.0ms (26.5% of total)ival-div: 1.0ms (13.3% of total)ival-sqrt: 1.0ms (13.3% of total)ival-neg: 1.0ms (13.3% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 30.0ms | -4.3716180811304664e-288 | 1.8738796361311433e-301 |
| 11.0ms | 176× | 0 | valid |
| 4.0ms | 65× | 0 | invalid |
Compiled 489 to 379 computations (22.5% saved)
ival-mult: 3.0ms (31.2% of total)ival-sub: 2.0ms (20.8% of total)ival-div: 2.0ms (20.8% of total)ival-sqrt: 1.0ms (10.4% of total)ival-neg: 1.0ms (10.4% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | -3.8604477047473124e-207 | -1.0134937849253761e-209 |
| 8.0ms | 117× | 0 | valid |
| 4.0ms | 53× | 0 | invalid |
| 2.0ms | 11× | 1 | valid |
Compiled 304 to 248 computations (18.4% saved)
ival-mult: 3.0ms (38.1% of total)ival-sub: 2.0ms (25.4% of total)ival-div: 1.0ms (12.7% of total)ival-sqrt: 1.0ms (12.7% of total)ival-neg: 1.0ms (12.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 331 |
| 1 | 112 | 331 |
| 2 | 180 | 331 |
| 3 | 283 | 331 |
| 4 | 389 | 331 |
| 5 | 448 | 331 |
| 6 | 459 | 331 |
| 7 | 467 | 331 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b_2 #s(literal -972775489807449/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (*.f64 #s(literal -1/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))) (if (<=.f64 b_2 #s(literal 2549999999999999977980771960485739190128742486796330915069952 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a))) |
(if (<=.f64 b_2 #s(literal -4770597318893877/12554203470773361527671578846415332832204710888928069025792 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 2549999999999999977980771960485739190128742486796330915069952 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a))) |
(if (<=.f64 b_2 #s(literal -4770597318893877/12554203470773361527671578846415332832204710888928069025792 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 6473261164617515/392318858461667547739736838950479151006397215279002157056 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))) |
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) |
(if (<=.f64 b_2 #s(literal -7551042814954391/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))) |
| Outputs |
|---|
(if (<=.f64 b_2 #s(literal -972775489807449/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (*.f64 #s(literal -1/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))) (if (<=.f64 b_2 #s(literal 2549999999999999977980771960485739190128742486796330915069952 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a))) |
(if (<=.f64 b_2 #s(literal -972775489807449/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (*.f64 #s(literal -1/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))) (if (<=.f64 b_2 #s(literal 2549999999999999977980771960485739190128742486796330915069952 binary64)) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a)) (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a))) |
(if (<=.f64 b_2 #s(literal -4770597318893877/12554203470773361527671578846415332832204710888928069025792 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 2549999999999999977980771960485739190128742486796330915069952 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a))) |
(if (<=.f64 b_2 #s(literal -4770597318893877/12554203470773361527671578846415332832204710888928069025792 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 2549999999999999977980771960485739190128742486796330915069952 binary64)) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a)) (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a))) |
(if (<=.f64 b_2 #s(literal -4770597318893877/12554203470773361527671578846415332832204710888928069025792 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 6473261164617515/392318858461667547739736838950479151006397215279002157056 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) a) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))) |
(if (<=.f64 b_2 #s(literal -4770597318893877/12554203470773361527671578846415332832204710888928069025792 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 6473261164617515/392318858461667547739736838950479151006397215279002157056 binary64)) (/.f64 (+.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) a)))) (neg.f64 a)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))) |
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) |
(if (<=.f64 b_2 #s(literal -7551042814954391/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1105 | 6839 |
| 1 | 4025 | 6767 |
| 0 | 8715 | 6458 |
| 0 | 48 | 329 |
| 0 | 76 | 319 |
| 1 | 249 | 306 |
| 2 | 1648 | 301 |
| 0 | 8113 | 301 |
| 0 | 528 | 2715 |
| 1 | 1718 | 2692 |
| 2 | 6857 | 2679 |
| 0 | 8446 | 2560 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 331 to 74 computations (77.6% saved)
Compiled 866 to 220 computations (74.6% saved)
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