
Time bar (total: 5.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 7 |
| 87.5% | 87.3% | 12.5% | 0.2% | 0% | 0% | 0% | 8 |
| 93.8% | 93.6% | 6.2% | 0.2% | 0% | 0% | 0% | 9 |
| 93.8% | 93.6% | 6.2% | 0.2% | 0% | 0% | 0% | 10 |
| 93.8% | 93.6% | 6.2% | 0.2% | 0% | 0% | 0% | 11 |
| 96.9% | 96.7% | 3.1% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 17 to 13 computations (23.5% saved)
| 622.0ms | 8 256× | 0 | valid |
ival-mult: 216.0ms (55.1% of total)ival-add: 87.0ms (22.2% of total)ival-div: 80.0ms (20.4% of total)ival-true: 6.0ms (1.5% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 84 | 1 | (-7.41308098226249e-54 -1.6339877773070693e-164 7.755894984516921e-162 -3.256172100195616e+159) | 0 | - | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 2 | 0 | - | 0 | - | (+.f64 (*.f64 a c) (*.f64 b d)) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 c c) (*.f64 d d)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | d |
| 0 | 0 | - | 0 | - | (*.f64 d d) |
| 0 | 0 | - | 0 | - | (*.f64 c c) |
| 0 | 0 | - | 0 | - | (*.f64 a c) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 b d) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/o | 36 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | overflow | 44 | |
| ↳ | (*.f64 a c) | overflow | 22 | |
| ↳ | (*.f64 b d) | overflow | 27 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 100 | |
| ↳ | (*.f64 c c) | overflow | 58 | |
| ↳ | (*.f64 d d) | overflow | 56 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/o | 33 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 100 | |
| ↳ | (*.f64 c c) | overflow | 58 | |
| ↳ | (*.f64 d d) | overflow | 56 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/n | 8 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | overflow | 44 | |
| ↳ | (*.f64 a c) | overflow | 22 | |
| ↳ | (*.f64 b d) | overflow | 27 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/u | 6 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 11 | |
| ↳ | (*.f64 c c) | underflow | 60 | |
| ↳ | (*.f64 d d) | underflow | 64 | |
+.f64 | (+.f64 (*.f64 a c) (*.f64 b d)) | nan-rescue | 2 | 0 |
| ↳ | (*.f64 a c) | overflow | 22 | |
| ↳ | (*.f64 b d) | overflow | 27 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/n | 1 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | underflow | 2 | |
| ↳ | (*.f64 a c) | underflow | 21 | |
| ↳ | (*.f64 b d) | underflow | 41 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/u | 1 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | underflow | 2 | |
| ↳ | (*.f64 a c) | underflow | 21 | |
| ↳ | (*.f64 b d) | underflow | 41 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 11 | |
| ↳ | (*.f64 c c) | underflow | 60 | |
| ↳ | (*.f64 d d) | underflow | 64 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 84 | 0 |
| - | 1 | 171 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 84 | 0 | 0 |
| - | 1 | 0 | 171 |
| number | freq |
|---|---|
| 0 | 171 |
| 1 | 83 |
| 2 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 42.0ms | 512× | 0 | valid |
Compiled 154 to 48 computations (68.8% saved)
ival-mult: 17.0ms (69% of total)ival-add: 4.0ms (16.2% of total)ival-div: 3.0ms (12.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 218 |
| 1 | 132 | 210 |
| 2 | 209 | 210 |
| 3 | 377 | 210 |
| 4 | 914 | 210 |
| 5 | 2299 | 210 |
| 6 | 3076 | 210 |
| 7 | 3886 | 210 |
| 8 | 4759 | 210 |
| 9 | 5156 | 210 |
| 10 | 5284 | 210 |
| 11 | 5444 | 210 |
| 12 | 5444 | 210 |
| 13 | 5480 | 210 |
| 14 | 5496 | 210 |
| 15 | 5496 | 210 |
| 16 | 5856 | 210 |
| 17 | 6830 | 210 |
| 18 | 6982 | 210 |
| 19 | 6994 | 210 |
| 20 | 6998 | 210 |
| 21 | 7006 | 210 |
| 22 | 7014 | 210 |
| 23 | 7014 | 210 |
| 24 | 7122 | 210 |
| 25 | 7170 | 210 |
| 26 | 7170 | 210 |
| 0 | 11 | 15 |
| 0 | 18 | 15 |
| 1 | 22 | 15 |
| 0 | 22 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
Compiled 15 to 11 computations (26.7% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 68.1% | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 a c) | |
| cost-diff | 0 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| cost-diff | 128 | (+.f64 (*.f64 c c) (*.f64 d d)) | |
| cost-diff | 128 | (+.f64 (*.f64 a c) (*.f64 b d)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 0 | 18 | 45 |
| 1 | 22 | 45 |
| 0 | 22 | 41 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(*.f64 a c) |
a |
c |
(*.f64 b d) |
b |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(*.f64 c c) |
(*.f64 d d) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(fma.f64 d b (*.f64 c a)) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
(*.f64 b d) |
(*.f64 d b) |
b |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
(*.f64 d d) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 b d) | |
| accuracy | 0 | (*.f64 a c) | |
| accuracy | 0.4531229358302058 | (+.f64 (*.f64 a c) (*.f64 b d)) | |
| accuracy | 20.23248549113943 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 18.0ms | 256× | 0 | valid |
Compiled 92 to 24 computations (73.9% saved)
ival-mult: 6.0ms (63.2% of total)ival-add: 2.0ms (21.1% of total)ival-div: 1.0ms (10.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (*.f64 a c) (*.f64 b d)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(*.f64 a c) |
(*.f64 b d) |
| Outputs |
|---|
(* b d) |
(+ (* a c) (* b d)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(* c (+ a (/ (* b d) c))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(* d (+ b (/ (* a c) d))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | c | @ | inf | ((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d)) |
| 2.0ms | d | @ | -inf | ((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d)) |
| 2.0ms | b | @ | -inf | ((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d)) |
| 2.0ms | c | @ | -inf | ((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d)) |
| 1.0ms | a | @ | -inf | ((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 593 |
| 1 | 618 | 583 |
| 2 | 1892 | 559 |
| 3 | 5765 | 557 |
| 0 | 8305 | 512 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* b d) |
(+ (* a c) (* b d)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(* c (+ a (/ (* b d) c))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(* d (+ b (/ (* a c) d))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
| Outputs |
|---|
(* b d) |
(*.f64 d b) |
(+ (* a c) (* b d)) |
(fma.f64 d b (*.f64 c a)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
(* a c) |
(*.f64 c a) |
(* a (+ c (/ (* b d) a))) |
(fma.f64 d b (*.f64 c a)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(fma.f64 d b (*.f64 c a)) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
(* b (+ d (/ (* a c) b))) |
(fma.f64 d b (*.f64 c a)) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(fma.f64 d b (*.f64 c a)) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(* c (+ a (/ (* b d) c))) |
(fma.f64 d b (*.f64 c a)) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(fma.f64 d b (*.f64 c a)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 3 binary64))) (neg.f64 a) (/.f64 b (*.f64 c c))) d (/.f64 a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 4 binary64))) b (/.f64 a (pow.f64 c #s(literal 3 binary64))))) d (/.f64 b (*.f64 c c))) d (/.f64 a c)) |
(* d (+ b (/ (* a c) d))) |
(fma.f64 d b (*.f64 c a)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (*.f64 (*.f64 b c) c) d)) d)) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) d)) d)) d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(fma.f64 d b (*.f64 c a)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (*.f64 (*.f64 b c) c) d)) d)) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) d)) d)) d) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 35 |
| 0 | 18 | 35 |
| 1 | 58 | 35 |
| 2 | 435 | 35 |
| 3 | 5073 | 35 |
| 0 | 8760 | 31 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 a c) (*.f64 b d)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(*.f64 a c) |
(*.f64 b d) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 d b) #s(literal 3 binary64)))) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 c a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)) (-.f64 (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 (*.f64 c a) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (fma.f64 d b (*.f64 c a))) |
(*.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 d b) (*.f64 c a)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 d b (*.f64 c a)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 d b (*.f64 c a))) |
(*.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 d b (*.f64 c a)) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 d b (*.f64 c a)) (/.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 (neg.f64 d) b (*.f64 c a)))) |
(*.f64 (fma.f64 d b (*.f64 c a)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 d b) #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 d b) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 d b) a) c) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 d b) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 9 binary64)) (pow.f64 (*.f64 c a) #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 d b) a) c) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 d b) (*.f64 c a)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))))) (fma.f64 (neg.f64 d) b (*.f64 c a))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))) (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 d b) (*.f64 c a))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 d b) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 (neg.f64 d) b (*.f64 c a)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 d b) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 d b) a) c) #s(literal 2 binary64))) (fma.f64 (neg.f64 d) b (*.f64 c a)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 d b) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 9 binary64)) (pow.f64 (*.f64 c a) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 d b) a) c) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 d b) #s(literal 4 binary64))) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (+.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 d b) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 d b) a) c) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 d b) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (-.f64 (*.f64 d b) (*.f64 c a))) |
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 9 binary64)) (pow.f64 (*.f64 c a) #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 d b) a) c) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (fma.f64 (neg.f64 d) b (*.f64 c a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) |
(neg.f64 (neg.f64 (fma.f64 d b (*.f64 c a)))) |
(fma.f64 (exp.f64 (log.f64 b)) d (*.f64 c a)) |
(fma.f64 (exp.f64 (log.f64 a)) c (*.f64 d b)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (neg.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (*.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 d d (*.f64 c c))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (neg.f64 d) d))) |
(fma.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 c #s(literal 4 binary64)))) |
(fma.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 c #s(literal 4 binary64)) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))))) |
(fma.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 d b) (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 c a))) |
(fma.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 c a) (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 d b))) |
(fma.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))))) |
(fma.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (*.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))))) |
(fma.f64 (*.f64 c c) (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (*.f64 (neg.f64 d) d) (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))))) |
(fma.f64 (*.f64 d b) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 (*.f64 c a) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 c a) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 (*.f64 d b) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d d (*.f64 c c))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 d d (*.f64 c c)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) (fma.f64 d d (*.f64 c c))) (/.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) (fma.f64 d d (*.f64 c c)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 d d (*.f64 c c)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 c c) (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (*.f64 (*.f64 (neg.f64 d) d) (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))))) |
(+.f64 (*.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))))) |
(+.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (*.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))))) |
(+.f64 (*.f64 (*.f64 d b) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))) (*.f64 (*.f64 c a) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 c a) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))) (*.f64 (*.f64 d b) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c)) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (neg.f64 d) d))) |
(+.f64 (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64)))) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 c #s(literal 4 binary64)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 c #s(literal 4 binary64))) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 d b)) (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 c a))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 c a)) (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 d b))) |
(*.f64 (exp.f64 (log.f64 a)) c) |
(*.f64 c (exp.f64 (log.f64 a))) |
(*.f64 c a) |
(*.f64 a c) |
(pow.f64 (*.f64 c a) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 c a)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 c a))) |
(*.f64 (exp.f64 (log.f64 b)) d) |
(*.f64 d (exp.f64 (log.f64 b))) |
(*.f64 d b) |
(*.f64 b d) |
(pow.f64 (*.f64 d b) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 d b)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 d b))) |
Compiled 11 322 to 1 078 computations (90.5% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 357 | 12 | 369 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 358 | 12 | 370 |
| Status | Accuracy | Program |
|---|---|---|
| 43.2% | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c)))))) | |
| ▶ | 39.7% | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
| 41.0% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| 52.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))) | |
| ▶ | 50.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
| ▶ | 55.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
| 49.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (*.f64 (*.f64 b c) c) d)) d)) d)) | |
| 44.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c)) | |
| 43.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) | |
| ▶ | 40.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| 41.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) | |
| ▶ | 43.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
Compiled 606 to 376 computations (38% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 b d) | |
| cost-diff | 0 | (*.f64 a c) | |
| cost-diff | 0 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| cost-diff | 128 | (+.f64 (*.f64 a c) (*.f64 b d)) | |
| cost-diff | 0 | (/.f64 b c) | |
| cost-diff | 0 | (fma.f64 (/.f64 b c) d a) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 b c) d a) c) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) | |
| cost-diff | 0 | (fma.f64 d d (*.f64 c c)) | |
| cost-diff | 0 | (/.f64 a (fma.f64 d d (*.f64 c c))) | |
| cost-diff | 0 | (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) | |
| cost-diff | 0 | (/.f64 a c) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) | |
| cost-diff | 0 | (/.f64 a d) | |
| cost-diff | 0 | (fma.f64 (/.f64 a d) c b) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 a d) c b) d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 220 |
| 0 | 48 | 214 |
| 1 | 61 | 214 |
| 2 | 67 | 214 |
| 3 | 70 | 214 |
| 0 | 70 | 208 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(fma.f64 (/.f64 a d) c b) |
(/.f64 a d) |
a |
d |
c |
b |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(/.f64 a c) |
a |
c |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c) |
(/.f64 a (fma.f64 d d (*.f64 c c))) |
a |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
c |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(fma.f64 (/.f64 b c) d a) |
(/.f64 b c) |
b |
c |
d |
a |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(*.f64 a c) |
a |
c |
(*.f64 b d) |
b |
d |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(*.f64 d d) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(fma.f64 (/.f64 a d) c b) |
(/.f64 a d) |
a |
d |
c |
b |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(/.f64 a c) |
a |
c |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c) |
(/.f64 a (fma.f64 d d (*.f64 c c))) |
a |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
c |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(fma.f64 (/.f64 b c) d a) |
(/.f64 b c) |
b |
c |
d |
a |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(fma.f64 d b (*.f64 c a)) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
(*.f64 b d) |
(*.f64 d b) |
b |
d |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(*.f64 d d) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 a c) | |
| accuracy | 0.4531229358302058 | (+.f64 (*.f64 a c) (*.f64 b d)) | |
| accuracy | 20.23248549113943 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| accuracy | 27.004878218854692 | #s(approx (+ (* c c) (* d d)) (*.f64 d d)) | |
| accuracy | 0 | (/.f64 b c) | |
| accuracy | 0.9882275431298614 | (/.f64 (fma.f64 (/.f64 b c) d a) c) | |
| accuracy | 3.8084098927069174 | (fma.f64 (/.f64 b c) d a) | |
| accuracy | 31.220286180619286 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) | |
| accuracy | 0 | (*.f64 c c) | |
| accuracy | 5.264475716304277 | (/.f64 a (fma.f64 d d (*.f64 c c))) | |
| accuracy | 10.503856783751145 | (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c) | |
| accuracy | 27.037278332144655 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) | |
| accuracy | 0 | (/.f64 a c) | |
| accuracy | 38.242565004229924 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) | |
| accuracy | 0 | (/.f64 a d) | |
| accuracy | 0.5311063556845012 | (/.f64 (fma.f64 (/.f64 a d) c b) d) | |
| accuracy | 2.7359833125566944 | (fma.f64 (/.f64 a d) c b) | |
| accuracy | 27.469808848948876 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
| 41.0ms | 256× | 0 | valid |
Compiled 408 to 57 computations (86% saved)
ival-div: 10.0ms (39.3% of total)ival-mult: 10.0ms (39.3% of total)ival-add: 5.0ms (19.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(fma.f64 (/.f64 a d) c b) |
(/.f64 a d) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(/.f64 a c) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c) |
(/.f64 a (fma.f64 d d (*.f64 c c))) |
(fma.f64 d d (*.f64 c c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(fma.f64 (/.f64 b c) d a) |
(/.f64 b c) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(*.f64 a c) |
(*.f64 b d) |
(*.f64 c c) |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
| Outputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
b |
(+ b (/ (* a c) d)) |
(/ a d) |
(/ a c) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ (* b d) (pow c 2)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) c) |
(+ a (/ (* b d) c)) |
(* b d) |
(+ (* a c) (* b d)) |
(* a c) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(/ (* a c) d) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ c (/ (* b d) a))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(/ b c) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ d (/ (* a c) b))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(/ a (pow d 2)) |
(+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))) |
(+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) c) |
(pow c 2) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a d) (/ b c))) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ a (pow c 2)) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* c (+ a (/ (* b d) c))) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) d) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c)) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 4))) (/ a (pow c 2))) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 6)) (/ a (pow c 4)))) (/ a (pow c 2))) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 8))) (* -1 (/ a (pow c 6))))) (/ a (pow c 4)))) (/ a (pow c 2))) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a d) (/ b c))) |
(* d (+ b (/ (* a c) d))) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | a | @ | -inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* d d) (* c c))) c) (/ a (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (* c c) (+ (* c c) (* d d))) |
| 5.0ms | b | @ | inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* d d) (* c c))) c) (/ a (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (* c c) (+ (* c c) (* d d))) |
| 3.0ms | a | @ | inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* d d) (* c c))) c) (/ a (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (* c c) (+ (* c c) (* d d))) |
| 3.0ms | c | @ | -inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* d d) (* c c))) c) (/ a (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (* c c) (+ (* c c) (* d d))) |
| 3.0ms | a | @ | 0 | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* d d) (* c c))) c) (/ a (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (* c c) (+ (* c c) (* d d))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 415 | 1714 |
| 1 | 1361 | 1667 |
| 2 | 4250 | 1620 |
| 0 | 8334 | 1543 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
b |
(+ b (/ (* a c) d)) |
(/ a d) |
(/ a c) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ (* b d) (pow c 2)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) c) |
(+ a (/ (* b d) c)) |
(* b d) |
(+ (* a c) (* b d)) |
(* a c) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(/ (* a c) d) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ c (/ (* b d) a))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(/ b c) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ d (/ (* a c) b))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(/ a (pow d 2)) |
(+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))) |
(+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) c) |
(pow c 2) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a d) (/ b c))) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ a (pow c 2)) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* c (+ a (/ (* b d) c))) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) d) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c)) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 4))) (/ a (pow c 2))) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 6)) (/ a (pow c 4)))) (/ a (pow c 2))) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 8))) (* -1 (/ a (pow c 6))))) (/ a (pow c 4)))) (/ a (pow c 2))) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a d) (/ b c))) |
(* d (+ b (/ (* a c) d))) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
| Outputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 (/.f64 a d) d) c (/.f64 b d)) |
b |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 c d) a b) |
(/ a d) |
(/.f64 a d) |
(/ a c) |
(/.f64 a c) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a) |
(/ a (+ (pow c 2) (pow d 2))) |
(/.f64 a (fma.f64 d d (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 (/.f64 (/.f64 b c) c) d) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 (/.f64 (/.f64 b c) c) d (/.f64 a c)) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(+ a (/ (* b d) c)) |
(fma.f64 (/.f64 d c) b a) |
(* b d) |
(*.f64 d b) |
(+ (* a c) (* b d)) |
(fma.f64 d b (*.f64 c a)) |
(* a c) |
(*.f64 c a) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) (/.f64 d a) (/.f64 c (fma.f64 d d (*.f64 c c)))) a) |
(/ (* a c) (pow d 2)) |
(*.f64 (/.f64 (/.f64 a d) d) c) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(*.f64 (+.f64 (/.f64 c (*.f64 d d)) (/.f64 (/.f64 b d) a)) a) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(* a (+ (/ b a) (/ c d))) |
(*.f64 (+.f64 (/.f64 c d) (/.f64 b a)) a) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(fma.f64 b (*.f64 (/.f64 (/.f64 d (*.f64 c c)) a) a) (/.f64 a c)) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 d b) c) a) a a) |
(* a (+ c (/ (* b d) a))) |
(*.f64 (fma.f64 d (/.f64 b a) c) a) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (fma.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) (/.f64 d a) (/.f64 c (fma.f64 d d (*.f64 c c)))) a) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(*.f64 (+.f64 (/.f64 c (*.f64 d d)) (/.f64 (/.f64 b d) a)) a) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(*.f64 (+.f64 (/.f64 c d) (/.f64 b a)) a) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(fma.f64 b (*.f64 (/.f64 (/.f64 d (*.f64 c c)) a) a) (/.f64 a c)) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(*.f64 (neg.f64 a) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 d b) c) a))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(*.f64 (fma.f64 d (/.f64 b a) c) a) |
(/ b c) |
(/.f64 b c) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) a (/.f64 d (fma.f64 d d (*.f64 c c)))) b) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(fma.f64 a (*.f64 (/.f64 (/.f64 c (*.f64 d d)) b) b) (/.f64 b d)) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 c a) d) b) b b) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(*.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (/.f64 a c) b)) b) |
(* b (+ (/ a b) (/ d c))) |
(*.f64 (+.f64 (/.f64 d c) (/.f64 a b)) b) |
(* b (+ d (/ (* a c) b))) |
(*.f64 (fma.f64 c (/.f64 a b) d) b) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) a (/.f64 d (fma.f64 d d (*.f64 c c)))) b) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(fma.f64 a (*.f64 (/.f64 (/.f64 c (*.f64 d d)) b) b) (/.f64 b d)) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(*.f64 (neg.f64 b) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 c a) d) b))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(*.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (/.f64 a c) b)) b) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(*.f64 (+.f64 (/.f64 d c) (/.f64 a b)) b) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(*.f64 (fma.f64 c (/.f64 a b) d) b) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 (/.f64 a d) d)) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 (/.f64 a d) d)) c (/.f64 b d)) |
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) |
(fma.f64 (/.f64 (neg.f64 a) d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (*.f64 (/.f64 (/.f64 a d) d) c)) |
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(fma.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (/.f64 a (pow.f64 d #s(literal 4 binary64)))) (*.f64 (/.f64 (/.f64 a d) d) c)) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(fma.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 a (pow.f64 d #s(literal 8 binary64))) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c)) (/.f64 a (pow.f64 d #s(literal 4 binary64)))) (*.f64 (/.f64 (/.f64 a d) d) c)) |
(/ a (pow d 2)) |
(/.f64 (/.f64 a d) d) |
(+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))) |
(fma.f64 (*.f64 (neg.f64 c) c) (/.f64 a (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 a d) d)) |
(+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (/.f64 a (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 (/.f64 a d) d)) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 a (pow.f64 d #s(literal 8 binary64))) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c)) (/.f64 a (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 (/.f64 a d) d)) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (/.f64 (fma.f64 d b (*.f64 c a)) c) c) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 d b (*.f64 c a)) c) |
(pow c 2) |
(*.f64 c c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 d (/.f64 d (neg.f64 c))) a (*.f64 d b)) c) a) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (fma.f64 (/.f64 (neg.f64 a) c) (*.f64 d (/.f64 d c)) (fma.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) a)) c) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(*.f64 (+.f64 (/.f64 (/.f64 b c) d) (/.f64 (/.f64 a d) d)) c) |
(* c (+ (/ a d) (/ b c))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c) |
(/.f64 (*.f64 a (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (neg.f64 c)) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (fma.f64 a (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 d (/.f64 d (*.f64 c c)))) a) c) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c) |
(/.f64 (fma.f64 a (-.f64 (fma.f64 (/.f64 d c) (/.f64 d c) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (neg.f64 a)) (neg.f64 c)) |
(/ a (pow c 2)) |
(/.f64 (/.f64 a c) c) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(/.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (*.f64 c c)) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) (pow c 2)) |
(/.f64 (fma.f64 a (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 d (/.f64 d (*.f64 c c)))) a) (*.f64 c c)) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(/.f64 (/.f64 (fma.f64 a (-.f64 (fma.f64 (/.f64 d c) (/.f64 d c) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (neg.f64 a)) (neg.f64 c)) c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) c) c) |
(* c (+ a (/ (* b d) c))) |
(*.f64 (fma.f64 (/.f64 d c) b a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 d (/.f64 d (neg.f64 c))) a (*.f64 d b)) c) a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 (/.f64 (fma.f64 d b (/.f64 (fma.f64 (*.f64 d a) d (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) (neg.f64 c))) c) a) c) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 b c) d) (/.f64 (/.f64 a d) d)) c) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c) |
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c)) |
(/.f64 (*.f64 a (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (neg.f64 c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)) |
(/.f64 (fma.f64 a (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 d (/.f64 d (*.f64 c c)))) a) c) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c)) |
(/.f64 (fma.f64 a (-.f64 (fma.f64 (/.f64 d c) (/.f64 d c) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (neg.f64 a)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(*.f64 (fma.f64 (/.f64 d c) b a) c) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 3 binary64))) (neg.f64 a) (/.f64 (/.f64 b c) c)) d (/.f64 a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 4 binary64))) b (/.f64 a (pow.f64 c #s(literal 3 binary64))))) d (/.f64 (/.f64 b c) c)) d (/.f64 a c)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/.f64 (/.f64 (fma.f64 d b (*.f64 c a)) d) d) |
(/ (+ (* a c) (* b d)) d) |
(/.f64 (fma.f64 d b (*.f64 c a)) d) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) |
(/.f64 (*.f64 a (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (neg.f64 c)) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c)) |
(fma.f64 (-.f64 (*.f64 (*.f64 d d) (/.f64 a (pow.f64 c #s(literal 5 binary64)))) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 d d) (/.f64 a c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c)) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 d) d) (/.f64 a (pow.f64 c #s(literal 7 binary64))) (/.f64 a (pow.f64 c #s(literal 5 binary64)))) (*.f64 d d)) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 d d) (/.f64 a c)) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 4))) (/ a (pow c 2))) |
(/.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (*.f64 c c)) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 6)) (/ a (pow c 4)))) (/ a (pow c 2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 d d) (/.f64 a (pow.f64 c #s(literal 6 binary64)))) (/.f64 a (pow.f64 c #s(literal 4 binary64)))) (*.f64 d d) (/.f64 (/.f64 a c) c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 8))) (* -1 (/ a (pow c 6))))) (/ a (pow c 4)))) (/ a (pow c 2))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 d) d) (/.f64 a (pow.f64 c #s(literal 8 binary64))) (/.f64 a (pow.f64 c #s(literal 6 binary64)))) (*.f64 d d)) (/.f64 a (pow.f64 c #s(literal 4 binary64)))) (*.f64 d d) (/.f64 (/.f64 a c) c)) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 c) c) d) b (*.f64 c a)) d) b) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) d) (*.f64 c (/.f64 c d)) (fma.f64 a (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b)) d) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/.f64 (*.f64 a (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))) d) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/.f64 (/.f64 (*.f64 a (-.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) c) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d))) d) d) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(/.f64 (fma.f64 a (-.f64 c (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 binary64)))) (*.f64 a (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d)))) (*.f64 d d)) |
(/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(fma.f64 (*.f64 (neg.f64 c) c) (/.f64 a (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 a d) d)) |
(/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) (pow d 2)) |
(/.f64 (fma.f64 a (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 c (/.f64 c (*.f64 d d)))) a) (*.f64 d d)) |
(/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 c #s(literal 6 binary64))) (/.f64 a (pow.f64 d #s(literal 6 binary64))) (fma.f64 a (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 c (/.f64 c (*.f64 d d)))) a)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(*.f64 (+.f64 (/.f64 (/.f64 a c) d) (/.f64 (/.f64 b c) c)) d) |
(* d (+ (/ a d) (/ b c))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d) |
(* d (+ b (/ (* a c) d))) |
(*.f64 (fma.f64 (/.f64 c d) a b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 c) c) d) b (*.f64 c a)) d) b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d) b) d) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 a c) d) (/.f64 (/.f64 b c) c)) d) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 (fma.f64 (/.f64 c d) a b) d) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 200 |
| 0 | 48 | 194 |
| 1 | 172 | 194 |
| 2 | 1212 | 194 |
| 0 | 8922 | 188 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(fma.f64 (/.f64 a d) c b) |
(/.f64 a d) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(/.f64 a c) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c) |
(/.f64 a (fma.f64 d d (*.f64 c c))) |
(fma.f64 d d (*.f64 c c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(fma.f64 (/.f64 b c) d a) |
(/.f64 b c) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(*.f64 a c) |
(*.f64 b d) |
(*.f64 c c) |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
(*.f64 (*.f64 (pow.f64 d #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b))) (pow.f64 (fma.f64 (/.f64 a d) c (neg.f64 b)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 d #s(literal -1 binary64)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64)))) (pow.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 a d) c b))) (/.f64 #s(literal -1 binary64) d)) |
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(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 a d) c b))) |
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(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64))) (*.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64))) d)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (neg.f64 d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 d (fma.f64 (/.f64 a d) c b)))) |
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(fma.f64 (pow.f64 d #s(literal -1 binary64)) b (*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 (/.f64 a d) c))) |
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(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 a d) c) b) |
(fma.f64 #s(literal 1 binary64) b (*.f64 (/.f64 a d) c)) |
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(fma.f64 c (/.f64 a d) b) |
(fma.f64 a (/.f64 c d) b) |
(fma.f64 a (*.f64 (pow.f64 d #s(literal -1 binary64)) c) b) |
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (*.f64 (/.f64 a d) c))) (/.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (-.f64 b (*.f64 (/.f64 a d) c)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (fma.f64 (/.f64 a d) c (neg.f64 b))) (/.f64 (*.f64 b b) (fma.f64 (/.f64 a d) c (neg.f64 b)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (/.f64 a d) c b))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (fma.f64 (/.f64 a d) c (neg.f64 b))) (neg.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 a d) c (neg.f64 b))))) |
(+.f64 (*.f64 (/.f64 a d) c) b) |
(+.f64 b (*.f64 (/.f64 a d) c)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (/.f64 #s(literal -1 binary64) d)) |
(*.f64 (pow.f64 (/.f64 d a) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d a) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 a) d)) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) a) |
(*.f64 #s(literal 1 binary64) (/.f64 a d)) |
(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) d)) |
(*.f64 a (pow.f64 d #s(literal -1 binary64))) |
(pow.f64 (/.f64 d a) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 d) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 d a)) |
(/.f64 (neg.f64 a) (neg.f64 d)) |
(/.f64 a d) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 d a))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) d))) |
(neg.f64 (/.f64 (neg.f64 a) d)) |
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(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 a) d)) |
(exp.f64 (*.f64 (log.f64 (/.f64 d a)) #s(literal -1 binary64))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
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(exp.f64 (*.f64 (log.f64 (/.f64 c a)) #s(literal -1 binary64))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
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(*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (/.f64 c (pow.f64 a #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
(*.f64 (*.f64 c a) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))) |
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c) |
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) |
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(pow.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a)) #s(literal -1 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a))) |
(/.f64 (neg.f64 c) (/.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) a)) |
(/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c))) |
(/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 c) a) (fma.f64 d d (*.f64 c c)))) |
(neg.f64 (/.f64 (*.f64 c a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(neg.f64 (*.f64 c (/.f64 (neg.f64 a) (fma.f64 d d (*.f64 c c))))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 a) (fma.f64 d d (*.f64 c c))) c)) |
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(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) c)) |
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(neg.f64 (neg.f64 (fma.f64 (/.f64 b c) d a))) |
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(fma.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 (neg.f64 b) c) a) |
(fma.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 d c) a) |
(fma.f64 (/.f64 d c) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1 binary64))) a) |
(fma.f64 (/.f64 d c) b a) |
(fma.f64 (*.f64 (neg.f64 b) d) (/.f64 #s(literal -1 binary64) c) a) |
(fma.f64 #s(literal -1 binary64) (neg.f64 a) (*.f64 (/.f64 b c) d)) |
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(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 b c) d) a) |
(fma.f64 #s(literal 1 binary64) a (*.f64 (/.f64 b c) d)) |
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(fma.f64 d (/.f64 b c) a) |
(fma.f64 b (/.f64 d c) a) |
(fma.f64 b (*.f64 (pow.f64 c #s(literal -1 binary64)) d) a) |
(fma.f64 a #s(literal 1 binary64) (*.f64 (/.f64 b c) d)) |
(-.f64 (/.f64 (*.f64 a a) (-.f64 a (*.f64 (/.f64 b c) d))) (/.f64 (pow.f64 (*.f64 (/.f64 b c) d) #s(literal 2 binary64)) (-.f64 a (*.f64 (/.f64 b c) d)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 b c) d) #s(literal 2 binary64)) (fma.f64 (/.f64 b c) d (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 (/.f64 b c) d (neg.f64 a)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (/.f64 b c) d a))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (neg.f64 (neg.f64 (fma.f64 c a (*.f64 (neg.f64 b) d))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (fma.f64 c a (*.f64 (neg.f64 b) d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d b (*.f64 (neg.f64 c) a)) (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (*.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d)))) (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (*.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) |
(neg.f64 (neg.f64 (fma.f64 d b (*.f64 c a)))) |
(fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))))) |
(fma.f64 d b (*.f64 c a)) |
(fma.f64 b d (*.f64 c a)) |
(fma.f64 c a (*.f64 d b)) |
(fma.f64 a c (*.f64 d b)) |
(-.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 c) a))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 c) a)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 d b (*.f64 c a)))) |
(+.f64 (neg.f64 (*.f64 (neg.f64 b) d)) (neg.f64 (*.f64 (neg.f64 c) a))) |
(+.f64 (neg.f64 (*.f64 (neg.f64 c) a)) (neg.f64 (*.f64 (neg.f64 b) d))) |
(+.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (neg.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))))) |
(+.f64 (*.f64 d b) (*.f64 c a)) |
(+.f64 (*.f64 c a) (*.f64 d b)) |
(*.f64 (*.f64 (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (pow.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d b (*.f64 c a)))) (/.f64 #s(literal -1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(*.f64 (pow.f64 (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (fma.f64 d b (*.f64 c a))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (fma.f64 d b (*.f64 c a))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (pow.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (pow.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (fma.f64 c a (*.f64 (neg.f64 b) d))))) |
(*.f64 (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal -1 binary64)) (fma.f64 d b (*.f64 c a))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (/.f64 #s(literal -1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (/.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) (fma.f64 c a (*.f64 (neg.f64 b) d)))) |
(*.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (fma.f64 d b (*.f64 c a))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) (neg.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)))) |
(/.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) (neg.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (fma.f64 c a (*.f64 (neg.f64 b) d))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (neg.f64 (*.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (fma.f64 c a (*.f64 (neg.f64 b) d))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (neg.f64 (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (neg.f64 (fma.f64 d b (*.f64 c a))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (fma.f64 c a (*.f64 (neg.f64 b) d)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (*.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(/.f64 (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal -1 binary64)) (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) (/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (fma.f64 d b (*.f64 c a)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (fma.f64 d b (*.f64 c a))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(fma.f64 (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal -1 binary64)) (*.f64 d b) (*.f64 (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal -1 binary64)) (*.f64 c a))) |
(fma.f64 (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal -1 binary64)) (*.f64 c a) (*.f64 (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal -1 binary64)) (*.f64 d b))) |
(fma.f64 (*.f64 d b) (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal -1 binary64)) (*.f64 (*.f64 c a) (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 c a) (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal -1 binary64)) (*.f64 (*.f64 d b) (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (fma.f64 c a (*.f64 (neg.f64 b) d)))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (fma.f64 c a (*.f64 (neg.f64 b) d))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (/.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (fma.f64 d b (*.f64 c a)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 d b) (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal -1 binary64))) (*.f64 (*.f64 c a) (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 c a) (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal -1 binary64))) (*.f64 (*.f64 d b) (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal -1 binary64)) (*.f64 d b)) (*.f64 (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal -1 binary64)) (*.f64 c a))) |
(+.f64 (*.f64 (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal -1 binary64)) (*.f64 c a)) (*.f64 (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal -1 binary64)) (*.f64 d b))) |
(*.f64 c a) |
(*.f64 a c) |
(*.f64 d b) |
(*.f64 b d) |
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c))) |
(*.f64 c c) |
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 c c) #s(literal 1 binary64)) |
(pow.f64 c #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(*.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal 1 binary64)) |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #s(literal -1 binary64)) |
(/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
Compiled 25 671 to 2 559 computations (90% saved)
19 alts after pruning (15 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 693 | 14 | 707 |
| Fresh | 6 | 1 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 700 | 19 | 719 |
| Status | Accuracy | Program |
|---|---|---|
| 39.7% | (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| ▶ | 28.9% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
| 45.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 a) c) (*.f64 d (/.f64 d c)) (fma.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) a)) c)) | |
| ✓ | 50.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
| ✓ | 55.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
| ▶ | 20.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c)) |
| 23.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) | |
| ▶ | 43.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
| ✓ | 40.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| 50.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 (/.f64 b c) d a)))) | |
| 44.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) | |
| ▶ | 44.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
| ✓ | 43.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
| 21.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 d d))) c)) | |
| ▶ | 55.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d))) |
| 40.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) | |
| 21.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ a (+ (* d d) (* c c))) (/.f64 (/.f64 a d) d)) c)) | |
| 19.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) | |
| 39.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* (/ a (+ (* d d) (* c c))) c) (/.f64 (*.f64 a (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (neg.f64 c)))) |
Compiled 947 to 579 computations (38.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 d b) c) | |
| cost-diff | 0 | #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c)) | |
| cost-diff | 0 | (fma.f64 d d (*.f64 c c)) | |
| cost-diff | 0 | (/.f64 c (fma.f64 d d (*.f64 c c))) | |
| cost-diff | 0 | (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) | |
| cost-diff | 0 | #s(approx (+ (* c c) (* d d)) (*.f64 d d)) | |
| cost-diff | 0 | (*.f64 d b) | |
| cost-diff | 0 | #s(approx (+ (* a c) (* b d)) (*.f64 d b)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| cost-diff | 0 | (/.f64 b d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) | |
| cost-diff | 0 | (fma.f64 (/.f64 a d) c b) | |
| cost-diff | 0 | (neg.f64 (fma.f64 (/.f64 a d) c b)) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d))) | |
| cost-diff | 448 | (*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 265 |
| 0 | 52 | 259 |
| 1 | 79 | 257 |
| 2 | 129 | 253 |
| 3 | 311 | 253 |
| 4 | 739 | 253 |
| 5 | 1680 | 253 |
| 6 | 3015 | 253 |
| 7 | 3610 | 253 |
| 8 | 3975 | 253 |
| 9 | 4274 | 253 |
| 10 | 4325 | 253 |
| 11 | 4339 | 253 |
| 12 | 4344 | 253 |
| 13 | 4384 | 253 |
| 14 | 4532 | 253 |
| 15 | 4628 | 253 |
| 16 | 4644 | 253 |
| 17 | 4644 | 253 |
| 0 | 4644 | 244 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d)) |
(neg.f64 (fma.f64 (/.f64 a d) c b)) |
(fma.f64 (/.f64 a d) c b) |
(/.f64 a d) |
a |
d |
c |
b |
(/.f64 #s(literal -1 binary64) d) |
#s(literal -1 binary64) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 b d) |
b |
d |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (+ (* a c) (* b d)) (*.f64 d b)) |
(*.f64 d b) |
d |
b |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(*.f64 d d) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a) |
(/.f64 c (fma.f64 d d (*.f64 c c))) |
c |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
a |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c)) |
(/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c) |
#s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) |
(/.f64 (*.f64 d b) c) |
(*.f64 d b) |
d |
b |
c |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
(*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(neg.f64 (fma.f64 (/.f64 a d) c b)) |
(fma.f64 (/.f64 a d) c b) |
(/.f64 a d) |
a |
d |
c |
b |
(/.f64 #s(literal -1 binary64) d) |
#s(literal -1 binary64) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 b d) |
b |
d |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (+ (* a c) (* b d)) (*.f64 d b)) |
(*.f64 d b) |
d |
b |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(*.f64 d d) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a) |
(/.f64 c (fma.f64 d d (*.f64 c c))) |
c |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
a |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) c)) |
(/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c) |
(/.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) c) |
#s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) |
#s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) |
(/.f64 (*.f64 d b) c) |
(*.f64 (/.f64 b c) d) |
(*.f64 d b) |
d |
b |
c |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.9882275431298614 | (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c) | |
| accuracy | 5.44956548529362 | (/.f64 (*.f64 d b) c) | |
| accuracy | 31.220286180619286 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c)) | |
| accuracy | 31.252238552896916 | #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) | |
| accuracy | 0 | (*.f64 c c) | |
| accuracy | 3.9755333545559965 | (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a) | |
| accuracy | 16.25185939966746 | (/.f64 c (fma.f64 d d (*.f64 c c))) | |
| accuracy | 27.037278332144655 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) | |
| accuracy | 0 | (*.f64 d b) | |
| accuracy | 20.23248549113943 | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| accuracy | 27.004878218854692 | #s(approx (+ (* c c) (* d d)) (*.f64 d d)) | |
| accuracy | 30.96150797629428 | #s(approx (+ (* a c) (* b d)) (*.f64 d b)) | |
| accuracy | 0 | (/.f64 b d) | |
| accuracy | 35.902930620788695 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) | |
| accuracy | 0 | (neg.f64 (fma.f64 (/.f64 a d) c b)) | |
| accuracy | 0.6271413654529432 | (*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d)) | |
| accuracy | 2.7359833125566944 | (fma.f64 (/.f64 a d) c b) | |
| accuracy | 27.469808848948876 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d))) |
| 54.0ms | 256× | 0 | valid |
Compiled 467 to 67 computations (85.7% saved)
ival-mult: 13.0ms (41.7% of total)ival-div: 12.0ms (38.5% of total)ival-add: 5.0ms (16.1% of total)ival-neg: 1.0ms (3.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d))) |
(neg.f64 (fma.f64 (/.f64 a d) c b)) |
(fma.f64 (/.f64 a d) c b) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 b d) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (+ (* a c) (* b d)) (*.f64 d b)) |
(*.f64 d b) |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a) |
(/.f64 c (fma.f64 d d (*.f64 c c))) |
(fma.f64 d d (*.f64 c c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c)) |
(/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c) |
#s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) |
(/.f64 (*.f64 d b) c) |
(*.f64 c c) |
| Outputs |
|---|
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(* -1 b) |
(- (* -1 (/ (* a c) d)) b) |
b |
(+ b (/ (* a c) d)) |
(* b d) |
(+ (* a c) (* b d)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (pow c 2)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) c) |
(+ a (/ (* b d) c)) |
(/ (* a c) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a c) d)) |
(* a (- (* -1 (/ b a)) (/ c d))) |
(/ (* a c) d) |
(* a (+ (/ b a) (/ c d))) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(/ a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (- (/ b a) (* -1 (/ c d))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(- (* -1 b) (/ (* a c) d)) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (- (* -1 (/ (* a c) (* b d))) 1)) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a b) (/ d c))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ 1 (/ (* a c) (* b d))))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(/ c (pow d 2)) |
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) c) |
(pow c 2) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(* c (- (* -1 (/ b c)) (/ a d))) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ a (/ (* b d) c))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ 1 c) |
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c) |
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c) |
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(* -1 (* c (- (/ b c) (* -1 (/ a d))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c)) |
(* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c)) |
(* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c)) |
(* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ (- (* -1 (* b d)) (* a c)) d) |
(/ (+ (* a c) (* b d)) d) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c)) |
(+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c)) |
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c)) |
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c)) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(* d (+ b (/ (* a c) d))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a d) (/ b c))) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | -inf | ((* (neg (+ (* (/ a d) c) b)) (/ -1 d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg (+ (* (/ a d) c) b)) (+ (* (/ a d) c) b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* d d) (* c c))) a) (/ c (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ (* d b) c) (* c c)) |
| 2.0ms | c | @ | inf | ((* (neg (+ (* (/ a d) c) b)) (/ -1 d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg (+ (* (/ a d) c) b)) (+ (* (/ a d) c) b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* d d) (* c c))) a) (/ c (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ (* d b) c) (* c c)) |
| 2.0ms | c | @ | -inf | ((* (neg (+ (* (/ a d) c) b)) (/ -1 d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg (+ (* (/ a d) c) b)) (+ (* (/ a d) c) b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* d d) (* c c))) a) (/ c (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ (* d b) c) (* c c)) |
| 2.0ms | d | @ | -inf | ((* (neg (+ (* (/ a d) c) b)) (/ -1 d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg (+ (* (/ a d) c) b)) (+ (* (/ a d) c) b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* d d) (* c c))) a) (/ c (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ (* d b) c) (* c c)) |
| 2.0ms | a | @ | -inf | ((* (neg (+ (* (/ a d) c) b)) (/ -1 d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg (+ (* (/ a d) c) b)) (+ (* (/ a d) c) b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* d d) (* c c))) a) (/ c (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ (* d b) c) (* c c)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 467 | 1807 |
| 1 | 1516 | 1761 |
| 2 | 4648 | 1713 |
| 0 | 8158 | 1633 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(* -1 b) |
(- (* -1 (/ (* a c) d)) b) |
b |
(+ b (/ (* a c) d)) |
(* b d) |
(+ (* a c) (* b d)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (pow c 2)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) c) |
(+ a (/ (* b d) c)) |
(/ (* a c) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a c) d)) |
(* a (- (* -1 (/ b a)) (/ c d))) |
(/ (* a c) d) |
(* a (+ (/ b a) (/ c d))) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(/ a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (- (/ b a) (* -1 (/ c d))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(- (* -1 b) (/ (* a c) d)) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (- (* -1 (/ (* a c) (* b d))) 1)) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a b) (/ d c))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ 1 (/ (* a c) (* b d))))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(/ c (pow d 2)) |
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) c) |
(pow c 2) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(* c (- (* -1 (/ b c)) (/ a d))) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ a (/ (* b d) c))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ 1 c) |
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c) |
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c) |
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(* -1 (* c (- (/ b c) (* -1 (/ a d))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c)) |
(* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c)) |
(* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c)) |
(* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ (- (* -1 (* b d)) (* a c)) d) |
(/ (+ (* a c) (* b d)) d) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c)) |
(+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c)) |
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c)) |
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c)) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(* d (+ b (/ (* a c) d))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a d) (/ b c))) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
| Outputs |
|---|
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 a (*.f64 d d)) c (/.f64 b d)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) |
(* -1 b) |
(neg.f64 b) |
(- (* -1 (/ (* a c) d)) b) |
(neg.f64 (fma.f64 (/.f64 a d) c b)) |
b |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 a d) c b) |
(* b d) |
(*.f64 b d) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) |
(/ (* b d) (pow c 2)) |
(*.f64 (/.f64 (/.f64 b c) c) d) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 (/.f64 (/.f64 b c) c) d (/.f64 a c)) |
(/ (* b d) c) |
(*.f64 (/.f64 b c) d) |
(+ a (/ (* b d) c)) |
(fma.f64 (/.f64 b c) d a) |
(/ (* a c) (pow d 2)) |
(*.f64 (/.f64 a (*.f64 d d)) c) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(*.f64 (+.f64 (/.f64 c (*.f64 d d)) (/.f64 (/.f64 b d) a)) a) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) (/.f64 d a) (/.f64 c (fma.f64 c c (*.f64 d d)))) a) |
(* -1 (/ (* a c) d)) |
(*.f64 (/.f64 (neg.f64 a) d) c) |
(* a (- (* -1 (/ b a)) (/ c d))) |
(*.f64 (neg.f64 a) (+.f64 (/.f64 c d) (/.f64 b a))) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(* a (+ (/ b a) (/ c d))) |
(*.f64 (+.f64 (/.f64 c d) (/.f64 b a)) a) |
(* a c) |
(*.f64 c a) |
(* a (+ c (/ (* b d) a))) |
(*.f64 (fma.f64 d (/.f64 b a) c) a) |
(/ a c) |
(/.f64 a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(fma.f64 b (*.f64 (/.f64 (/.f64 d (*.f64 c c)) a) a) (/.f64 a c)) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(fma.f64 (/.f64 (*.f64 d (/.f64 b a)) c) a a) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(*.f64 (+.f64 (/.f64 c (*.f64 d d)) (/.f64 (/.f64 b d) a)) a) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) (/.f64 d a) (/.f64 c (fma.f64 c c (*.f64 d d)))) a) |
(* -1 (* a (- (/ b a) (* -1 (/ c d))))) |
(*.f64 (neg.f64 a) (+.f64 (/.f64 c d) (/.f64 b a))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(*.f64 (+.f64 (/.f64 c d) (/.f64 b a)) a) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(*.f64 (fma.f64 d (/.f64 b a) c) a) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(fma.f64 b (*.f64 (/.f64 (/.f64 d (*.f64 c c)) a) a) (/.f64 a c)) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(*.f64 (neg.f64 a) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 d (/.f64 b a)) c))) |
(- (* -1 b) (/ (* a c) d)) |
(neg.f64 (fma.f64 (/.f64 a d) c b)) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(fma.f64 a (*.f64 (/.f64 (/.f64 c (*.f64 d d)) b) b) (/.f64 b d)) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) (/.f64 c b) (/.f64 d (fma.f64 c c (*.f64 d d)))) b) |
(* b (- (* -1 (/ (* a c) (* b d))) 1)) |
(*.f64 (fma.f64 (/.f64 (/.f64 c b) d) (neg.f64 a) #s(literal -1 binary64)) b) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 c a) d) b) b b) |
(* b (+ d (/ (* a c) b))) |
(*.f64 (fma.f64 (/.f64 c b) a d) b) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(*.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (/.f64 a c) b)) b) |
(* b (+ (/ a b) (/ d c))) |
(*.f64 (+.f64 (/.f64 d c) (/.f64 a b)) b) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(fma.f64 a (*.f64 (/.f64 (/.f64 c (*.f64 d d)) b) b) (/.f64 b d)) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) (/.f64 c b) (/.f64 d (fma.f64 c c (*.f64 d d)))) b) |
(* -1 (* b (+ 1 (/ (* a c) (* b d))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 c b) d) (neg.f64 a) #s(literal -1 binary64)) b) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(fma.f64 (/.f64 (/.f64 (*.f64 c a) d) b) b b) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(*.f64 (fma.f64 (/.f64 c b) a d) b) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(*.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (/.f64 a c) b)) b) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(*.f64 (+.f64 (/.f64 d c) (/.f64 a b)) b) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) |
(fma.f64 (/.f64 (neg.f64 a) d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (*.f64 (/.f64 a (*.f64 d d)) c)) |
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(fma.f64 (/.f64 a d) (/.f64 c d) (*.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (/.f64 a (pow.f64 d #s(literal 4 binary64)))))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(fma.f64 (/.f64 a d) (/.f64 c d) (*.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 a (pow.f64 d #s(literal 8 binary64))) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c)) (/.f64 a (pow.f64 d #s(literal 4 binary64)))))) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) d) (/.f64 c (*.f64 d d))) |
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(fma.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 c (/.f64 c (pow.f64 d #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64)))) (/.f64 c (*.f64 d d))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(fma.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 (fma.f64 (neg.f64 c) (/.f64 c (pow.f64 d #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64)))) (/.f64 c (*.f64 d d))) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (/.f64 (fma.f64 b d (*.f64 c a)) c) c) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 b d (*.f64 c a)) c) |
(pow c 2) |
(*.f64 c c) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(*.f64 (+.f64 (/.f64 (/.f64 b d) c) (/.f64 a (*.f64 d d))) c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c) a) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (neg.f64 b) (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c)) a) c) |
(* c (- (* -1 (/ b c)) (/ a d))) |
(*.f64 (neg.f64 (+.f64 (/.f64 a d) (/.f64 b c))) c) |
(* c (+ (/ a d) (/ b c))) |
(*.f64 (+.f64 (/.f64 a d) (/.f64 b c)) c) |
(* c (+ a (/ (* b d) c))) |
(*.f64 (fma.f64 (/.f64 b c) d a) c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) c) c) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c) |
(/.f64 (*.f64 a (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (neg.f64 c)) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (fma.f64 a (fma.f64 (/.f64 (neg.f64 d) c) (/.f64 d c) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) a) c) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c) |
(/.f64 (-.f64 (*.f64 a (fma.f64 (/.f64 d c) (/.f64 d c) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (fma.f64 (pow.f64 d #s(literal 4 binary64)) (/.f64 a (pow.f64 c #s(literal 4 binary64))) a)) (neg.f64 c)) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c) |
(/.f64 (fma.f64 (/.f64 (neg.f64 d) c) (/.f64 d c) #s(literal 1 binary64)) c) |
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c) |
(/.f64 (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) c) |
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c) |
(/.f64 (fma.f64 (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) #s(literal -1 binary64) (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64)))) c) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 b d) c) (/.f64 a (*.f64 d d))) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c) a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 (/.f64 (fma.f64 b d (/.f64 (fma.f64 (*.f64 d a) d (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) (neg.f64 c))) c) a) c) |
(* -1 (* c (- (/ b c) (* -1 (/ a d))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 a d) (/.f64 b c))) c) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 (+.f64 (/.f64 a d) (/.f64 b c)) c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(*.f64 (fma.f64 (/.f64 b c) d a) c) |
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c)) |
(/.f64 (*.f64 a (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (neg.f64 c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)) |
(/.f64 (fma.f64 a (fma.f64 (/.f64 (neg.f64 d) c) (/.f64 d c) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) a) c) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c)) |
(/.f64 (-.f64 (*.f64 a (fma.f64 (/.f64 d c) (/.f64 d c) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (fma.f64 (pow.f64 d #s(literal 4 binary64)) (/.f64 a (pow.f64 c #s(literal 4 binary64))) a)) (neg.f64 c)) |
(* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 d) c) (/.f64 d c) #s(literal 1 binary64)) c) |
(* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c)) |
(/.f64 (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) c) |
(* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) #s(literal -1 binary64) (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64)))) c) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/.f64 (/.f64 (fma.f64 b d (*.f64 c a)) d) d) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 3 binary64))) (neg.f64 a) (/.f64 (/.f64 b c) c)) d (/.f64 a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 4 binary64))) b (/.f64 a (pow.f64 c #s(literal 3 binary64))))) d (/.f64 (/.f64 b c) c)) d (/.f64 a c)) |
(/ (- (* -1 (* b d)) (* a c)) d) |
(neg.f64 (fma.f64 (/.f64 a d) c b)) |
(/ (+ (* a c) (* b d)) d) |
(/.f64 (fma.f64 b d (*.f64 c a)) d) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) |
(/.f64 (*.f64 a (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (neg.f64 c)) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c)) |
(fma.f64 (-.f64 (*.f64 (*.f64 d d) (/.f64 a (pow.f64 c #s(literal 5 binary64)))) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 d d) (/.f64 a c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c)) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 d) d) (/.f64 a (pow.f64 c #s(literal 7 binary64))) (/.f64 a (pow.f64 c #s(literal 5 binary64)))) (*.f64 d d)) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 d d) (/.f64 a c)) |
(+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 d) c) (/.f64 d c) #s(literal 1 binary64)) c) |
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c)) |
(fma.f64 (fma.f64 d (/.f64 d (pow.f64 c #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 3 binary64)))) (*.f64 d d) (/.f64 #s(literal 1 binary64) c)) |
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c)) |
(fma.f64 (-.f64 (fma.f64 d (/.f64 d (pow.f64 c #s(literal 5 binary64))) (/.f64 (neg.f64 (pow.f64 d #s(literal 4 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64)))) (*.f64 d d) (/.f64 #s(literal 1 binary64) c)) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 c) c) d) b (*.f64 c a)) d) b) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (neg.f64 a) (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 c) c) d) b (*.f64 c a)) d)) b) d) |
(* d (+ b (/ (* a c) d))) |
(*.f64 (fma.f64 (/.f64 a d) c b) d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (neg.f64 a) (/.f64 (*.f64 c a) d)) d) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 a (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) c)) d) (*.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) a)) d) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 c #s(literal 7 binary64))) (pow.f64 d #s(literal 6 binary64))) a (*.f64 a (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) c))) d) (*.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) a)) d) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) d) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) c) d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) d) |
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/.f64 (-.f64 (/.f64 (+.f64 (-.f64 c (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64)))) d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) d) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(*.f64 (+.f64 (/.f64 (/.f64 a d) c) (/.f64 (/.f64 b c) c)) d) |
(* d (+ (/ a d) (/ b c))) |
(*.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 c) c) d) b (*.f64 c a)) d) b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d) b) d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 (fma.f64 (/.f64 a d) c b) d) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 a d) c) (/.f64 (/.f64 b c) c)) d) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 238 |
| 0 | 52 | 232 |
| 1 | 198 | 230 |
| 2 | 1349 | 226 |
| 0 | 8386 | 217 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d))) |
(neg.f64 (fma.f64 (/.f64 a d) c b)) |
(fma.f64 (/.f64 a d) c b) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 b d) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (+ (* a c) (* b d)) (*.f64 d b)) |
(*.f64 d b) |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a) |
(/.f64 c (fma.f64 d d (*.f64 c c))) |
(fma.f64 d d (*.f64 c c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c)) |
(/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c) |
#s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) |
(/.f64 (*.f64 d b) c) |
(*.f64 c c) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (fma.f64 c (/.f64 a d) b)) #s(literal -1 binary64)) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 c (/.f64 a d) b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) d)) |
(*.f64 (/.f64 (neg.f64 (fma.f64 c (/.f64 a d) b)) d) #s(literal -1 binary64)) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 c (/.f64 a d) b)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (fma.f64 c (/.f64 a d) b)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c (/.f64 a d) b) d)) |
(*.f64 (/.f64 (fma.f64 c (/.f64 a d) b) d) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 (fma.f64 c (/.f64 a d) b) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 (fma.f64 c (/.f64 a d) b))) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 d #s(literal -1 binary64)) (neg.f64 (fma.f64 c (/.f64 a d) b)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (fma.f64 c (/.f64 a d) b)) d)) |
(*.f64 (neg.f64 (fma.f64 c (/.f64 a d) b)) (/.f64 #s(literal -1 binary64) d)) |
(*.f64 (fma.f64 c (/.f64 a d) b) (pow.f64 d #s(literal -1 binary64))) |
(pow.f64 (/.f64 d (fma.f64 c (/.f64 a d) b)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 (fma.f64 c (/.f64 a d) b)) d) (/.f64 (neg.f64 (fma.f64 c (/.f64 a d) b)) d))) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 c (/.f64 a d) b)) d))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 (neg.f64 a) d) c) (neg.f64 d)) (/.f64 (*.f64 (/.f64 (neg.f64 a) d) c) (neg.f64 d))) (*.f64 (/.f64 b d) (/.f64 b d))) (-.f64 (/.f64 (*.f64 (/.f64 (neg.f64 a) d) c) (neg.f64 d)) (/.f64 b d))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (*.f64 (/.f64 (neg.f64 a) d) c)) (*.f64 (/.f64 #s(literal -1 binary64) d) (*.f64 (/.f64 (neg.f64 a) d) c))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 b)))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (*.f64 (/.f64 (neg.f64 a) d) c)) (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 b)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 (fma.f64 c (/.f64 a d) b)) d) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 (fma.f64 c (/.f64 a d) b)) d) (/.f64 (neg.f64 (fma.f64 c (/.f64 a d) b)) d) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 c (/.f64 a d) b)) d))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (neg.f64 a) d) c) (neg.f64 d)) #s(literal 3 binary64)) (pow.f64 (/.f64 b d) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 (neg.f64 a) d) c) (neg.f64 d)) (/.f64 (*.f64 (/.f64 (neg.f64 a) d) c) (neg.f64 d)) (-.f64 (*.f64 (/.f64 b d) (/.f64 b d)) (*.f64 (/.f64 (*.f64 (/.f64 (neg.f64 a) d) c) (neg.f64 d)) (/.f64 b d))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (*.f64 (/.f64 (neg.f64 a) d) c)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (*.f64 (/.f64 (neg.f64 a) d) c)) (*.f64 (/.f64 #s(literal -1 binary64) d) (*.f64 (/.f64 (neg.f64 a) d) c)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 b))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (*.f64 (/.f64 (neg.f64 a) d) c)) (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 b)))))) |
(/.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 c (/.f64 a d) b))) |
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(*.f64 (neg.f64 d) (/.f64 (neg.f64 b) c)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 b c) d)) |
(*.f64 (*.f64 (neg.f64 d) b) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (*.f64 (/.f64 b c) d) #s(literal 1 binary64)) |
(*.f64 (/.f64 b c) d) |
(*.f64 (*.f64 b d) (pow.f64 c #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 c (*.f64 b d))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 d) (/.f64 b c))) |
(*.f64 b (/.f64 d c)) |
(*.f64 b (*.f64 (pow.f64 c #s(literal -1 binary64)) d)) |
(*.f64 d (/.f64 b c)) |
(pow.f64 (/.f64 c (*.f64 b d)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 d) (neg.f64 (/.f64 c b))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 c (*.f64 b d))))) |
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b d))) |
(/.f64 (*.f64 (neg.f64 d) b) (neg.f64 c)) |
(/.f64 (*.f64 b d) c) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (*.f64 b d)))) |
(/.f64 d (/.f64 c b)) |
(neg.f64 (*.f64 (neg.f64 d) (/.f64 b c))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (*.f64 (neg.f64 d) (/.f64 b c))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 d) (/.f64 b c))) |
(exp.f64 (*.f64 (log.f64 (/.f64 c (*.f64 b d))) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c))) |
(*.f64 #s(literal 1 binary64) (*.f64 c c)) |
(*.f64 (neg.f64 c) (neg.f64 c)) |
(*.f64 c c) |
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 c) #s(literal 2 binary64)) |
(pow.f64 (*.f64 c c) #s(literal 1 binary64)) |
(pow.f64 c #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))) |
Compiled 18 138 to 2 086 computations (88.5% saved)
22 alts after pruning (16 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 494 | 10 | 504 |
| Fresh | 4 | 6 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 3 | 4 |
| Total | 501 | 22 | 523 |
| Status | Accuracy | Program |
|---|---|---|
| 39.7% | (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| ✓ | 28.9% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
| 22.3% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 45.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 a) c) (*.f64 d (/.f64 d c)) (fma.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) a)) c)) | |
| ✓ | 55.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
| ▶ | 46.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (neg.f64 b) (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c)) a) c)) |
| ✓ | 20.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c)) |
| 21.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) c)) | |
| ▶ | 23.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
| ✓ | 43.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
| ✓ | 40.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| ▶ | 43.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
| ▶ | 21.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))))) |
| 44.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) | |
| ✓ | 43.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
| 43.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) | |
| 21.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 c (*.f64 d d))) a)) | |
| ▶ | 40.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a)) |
| 21.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ a (+ (* d d) (* c c))) (/.f64 (/.f64 a d) d)) c)) | |
| 23.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (neg (+ (* (/ a d) c) b)) (*.f64 (/.f64 (neg.f64 a) d) c)) (/.f64 #s(literal -1 binary64) d))) | |
| 19.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) | |
| 39.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* (/ c (+ (* d d) (* c c))) a) (/.f64 (*.f64 a (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (neg.f64 c)))) |
Compiled 1 126 to 689 computations (38.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) | |
| cost-diff | 0 | (/.f64 c #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 c #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)))) | |
| cost-diff | 0 | (/.f64 (*.f64 c a) d) | |
| cost-diff | 0 | #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) | |
| cost-diff | 0 | (/.f64 d b) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 d b)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) c) | |
| cost-diff | 0 | #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a)) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (neg.f64 b) (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c)) a) c)) | |
| cost-diff | 128 | (+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (neg.f64 b) (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c)) a) | |
| cost-diff | 320 | (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) | |
| cost-diff | 6592 | (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (neg.f64 b) (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 421 |
| 0 | 77 | 421 |
| 1 | 120 | 415 |
| 2 | 211 | 401 |
| 3 | 542 | 401 |
| 4 | 1460 | 401 |
| 5 | 2951 | 401 |
| 6 | 4233 | 393 |
| 7 | 5917 | 393 |
| 0 | 8160 | 366 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (neg.f64 b) (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c)) a) c)) |
(/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (neg.f64 b) (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c)) a) c) |
(+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (neg.f64 b) (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c)) a) |
(fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (neg.f64 b) (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c)) |
(pow.f64 (/.f64 d c) #s(literal 3 binary64)) |
(/.f64 d c) |
d |
c |
#s(literal 3 binary64) |
(neg.f64 b) |
b |
(/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c) |
(fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) |
(*.f64 d (/.f64 (neg.f64 d) c)) |
(/.f64 (neg.f64 d) c) |
(neg.f64 d) |
a |
(*.f64 b d) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a)) |
(*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a) |
#s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) |
(/.f64 #s(literal 1 binary64) c) |
#s(literal 1 binary64) |
c |
a |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
(/.f64 #s(literal 1 binary64) (/.f64 d b)) |
#s(literal 1 binary64) |
(/.f64 d b) |
d |
b |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
(/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d) |
#s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) |
(/.f64 (*.f64 c a) d) |
(*.f64 c a) |
c |
a |
d |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))))) |
(/.f64 #s(literal 1 binary64) (/.f64 c #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)))) |
#s(literal 1 binary64) |
(/.f64 c #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))) |
c |
#s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) |
(*.f64 (/.f64 b c) d) |
(/.f64 b c) |
b |
d |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (neg.f64 b) (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c)) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) (fma.f64 (/.f64 (neg.f64 d) c) (fma.f64 (/.f64 d c) b a) b) a) c)) |
(/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (neg.f64 b) (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c)) a) c) |
(/.f64 (fma.f64 (/.f64 d c) (fma.f64 (/.f64 (neg.f64 d) c) (fma.f64 (/.f64 d c) b a) b) a) c) |
(+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (neg.f64 b) (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c)) a) |
(fma.f64 (/.f64 d c) (fma.f64 (/.f64 (neg.f64 d) c) (fma.f64 (/.f64 d c) b a) b) a) |
(fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (neg.f64 b) (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c)) |
(*.f64 (/.f64 d c) (fma.f64 (/.f64 (neg.f64 d) c) (fma.f64 (/.f64 d c) b a) b)) |
(pow.f64 (/.f64 d c) #s(literal 3 binary64)) |
(/.f64 d c) |
d |
c |
#s(literal 3 binary64) |
(neg.f64 b) |
b |
(/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c) |
(*.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c) d) |
(fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) |
(*.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) d) |
(*.f64 d (/.f64 (neg.f64 d) c)) |
(*.f64 (/.f64 (neg.f64 d) c) d) |
(/.f64 (neg.f64 d) c) |
(neg.f64 d) |
a |
(*.f64 b d) |
(*.f64 d b) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a)) |
(*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a) |
#s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) |
(/.f64 #s(literal 1 binary64) c) |
#s(literal 1 binary64) |
c |
a |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 #s(literal 1 binary64) (/.f64 d b)) |
(/.f64 b d) |
#s(literal 1 binary64) |
(/.f64 d b) |
d |
b |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d)) |
(/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d) |
(/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d) |
#s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) |
#s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) |
(/.f64 (*.f64 c a) d) |
(*.f64 (/.f64 a d) c) |
(*.f64 c a) |
c |
a |
d |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) c)) |
(/.f64 #s(literal 1 binary64) (/.f64 c #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)))) |
(/.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) c) |
#s(literal 1 binary64) |
(/.f64 c #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))) |
c |
#s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) |
(*.f64 (/.f64 b c) d) |
(/.f64 b c) |
b |
d |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.9877328880570284 | (/.f64 c #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))) | |
| accuracy | 5.620585175581953 | (*.f64 (/.f64 b c) d) | |
| accuracy | 31.220286180619286 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))))) | |
| accuracy | 31.252238552896916 | #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) | |
| accuracy | 0.5311063556845012 | (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d) | |
| accuracy | 3.698073951273755 | (/.f64 (*.f64 c a) d) | |
| accuracy | 27.469808848948876 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) | |
| accuracy | 30.840777733009368 | #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) | |
| accuracy | 0 | (/.f64 d b) | |
| accuracy | 0.19140625 | (/.f64 #s(literal 1 binary64) (/.f64 d b)) | |
| accuracy | 35.902930620788695 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) c) | |
| accuracy | 3.9755333545559965 | (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a) | |
| accuracy | 27.037278332144655 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a)) | |
| accuracy | 32.328574652017615 | #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) | |
| accuracy | 3.9279373967517515 | (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c) | |
| accuracy | 5.563604275808941 | (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) | |
| accuracy | 10.480503277586784 | (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (neg.f64 b) (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c)) | |
| accuracy | 33.07973750423113 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (neg.f64 b) (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c)) a) c)) |
| 73.0ms | 256× | 0 | valid |
Compiled 732 to 97 computations (86.7% saved)
ival-div: 24.0ms (44.6% of total)ival-mult: 15.0ms (27.9% of total)ival-add: 8.0ms (14.9% of total)ival-pow: 4.0ms (7.4% of total)ival-neg: 2.0ms (3.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (neg.f64 b) (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c)) |
(fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) |
(+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (neg.f64 b) (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c)) a) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (neg.f64 b) (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c)) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a)) |
(*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a) |
#s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) |
(/.f64 #s(literal 1 binary64) c) |
(/.f64 #s(literal 1 binary64) (/.f64 d b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
(/.f64 d b) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
(/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d) |
#s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) |
(/.f64 (*.f64 c a) d) |
(/.f64 #s(literal 1 binary64) (/.f64 c #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))))) |
(/.f64 c #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))) |
#s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) |
(/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c) |
(*.f64 (/.f64 b c) d) |
| Outputs |
|---|
(+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c)) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) |
(* b d) |
(+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) |
(+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (+ (* a (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) (/ (* b d) c))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
b |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(/ (* b d) (pow c 2)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (pow c 2) (* b d)) |
(+ (* -1 (/ (* a (pow c 3)) (* (pow b 2) (pow d 2)))) (/ (pow c 2) (* b d))) |
(+ (* a (- (/ (* a (pow c 4)) (* (pow b 3) (pow d 3))) (/ (pow c 3) (* (pow b 2) (pow d 2))))) (/ (pow c 2) (* b d))) |
(+ (* a (- (* a (- (* -1 (/ (* a (pow c 5)) (* (pow b 4) (pow d 4)))) (* -1 (/ (pow c 4) (* (pow b 3) (pow d 3)))))) (/ (pow c 3) (* (pow b 2) (pow d 2))))) (/ (pow c 2) (* b d))) |
(/ (* b d) c) |
(+ a (/ (* b d) c)) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c)) |
(* -1 (/ (* a (pow d 2)) (pow c 2))) |
(* a (+ (* -1 (/ (* b (pow d 3)) (* a (pow c 3)))) (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c))))) |
(* -1 (/ (* a (pow d 2)) c)) |
(* a (+ (* -1 (/ (pow d 2) c)) (/ (* b d) a))) |
(* a (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) |
(* a (+ 1 (+ (* -1 (/ (* b (pow d 3)) (* a (pow c 3)))) (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b a) (/ c d))) |
(/ a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(/ c a) |
(/ (+ c (* -1 (/ (* b d) a))) a) |
(/ (- (+ c (/ (* (pow b 2) (pow d 2)) (* (pow a 2) c))) (/ (* b d) a)) a) |
(/ (- (+ c (* -1 (/ (* (pow b 3) (pow d 3)) (* (pow a 3) (pow c 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 2) c))) (/ (* b d) a))) a) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c)))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c)) a)) (/ (pow d 2) (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ (* b d) a)) (/ (pow d 2) c)))) |
(* -1 (* a (- (/ (pow d 2) (pow c 2)) 1))) |
(* -1 (* a (- (+ (* -1 (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c)) a)) (/ (pow d 2) (pow c 2))) 1))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (/ (+ (* -1 c) (/ (* b d) a)) a)) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (- (/ (* (pow b 2) (pow d 2)) (* a c)) (* b d)) a))) a)) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 3)) (* a (pow c 2))) (/ (* (pow b 2) (pow d 2)) c)) a)) (* b d)) a))) a)) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (+ (* -1 (/ (* b d) (* a c))) (/ (pow d 2) (pow c 2))))) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (* b (+ (* -1 (/ (pow d 3) (pow c 3))) (/ d c)))) |
(+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) |
(+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (* b (+ (* -1 (/ (pow d 3) (pow c 3))) (/ d c))))) |
(/ d b) |
(+ (* -1 (/ (* b d) (pow a 2))) (/ c a)) |
(+ (* b (- (/ (* b (pow d 2)) (* (pow a 3) c)) (/ d (pow a 2)))) (/ c a)) |
(+ (* b (- (* b (- (* -1 (/ (* b (pow d 3)) (* (pow a 4) (pow c 2)))) (* -1 (/ (pow d 2) (* (pow a 3) c))))) (/ d (pow a 2)))) (/ c a)) |
(* b (+ (* -1 (/ (pow d 3) (pow c 3))) (/ d c))) |
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (+ (* -1 (/ (pow d 3) (pow c 3))) (/ d c)))) |
(* b (+ d (* -1 (/ (* a (pow d 2)) (* b c))))) |
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (+ (* -1 (/ (pow d 3) (pow c 3))) (+ (/ a b) (/ d c))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(/ (+ (* -1 (/ (* a (pow c 3)) (* b (pow d 2)))) (/ (pow c 2) d)) b) |
(/ (- (+ (/ (* (pow a 2) (pow c 4)) (* (pow b 2) (pow d 3))) (/ (pow c 2) d)) (/ (* a (pow c 3)) (* b (pow d 2)))) b) |
(/ (- (+ (* -1 (/ (* (pow a 3) (pow c 5)) (* (pow b 3) (pow d 4)))) (/ (pow c 2) d)) (+ (* -1 (/ (* (pow a 2) (pow c 4)) (* (pow b 2) (pow d 3)))) (/ (* a (pow c 3)) (* b (pow d 2))))) b) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (/ d c))) |
(* -1 (* b (+ (* -1 (/ d c)) (/ (pow d 3) (pow c 3))))) |
(* -1 (* b (+ (* -1 (/ d c)) (+ (/ (* a (pow d 2)) (* b (pow c 2))) (/ (pow d 3) (pow c 3)))))) |
(* -1 (* b (+ (* -1 d) (/ (* a (pow d 2)) (* b c))))) |
(* -1 (* b (+ (* -1 (/ d c)) (+ (* -1 (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) b)) (/ (pow d 3) (pow c 3)))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (/ (+ (* -1 (/ (pow c 2) d)) (/ (* a (pow c 3)) (* b (pow d 2)))) b)) |
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow a 2) (pow c 4)) (* b (pow d 3))) (/ (* a (pow c 3)) (pow d 2))) b)) (* -1 (/ (pow c 2) d))) b)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 5)) (* b (pow d 4))) (/ (* (pow a 2) (pow c 4)) (pow d 3))) b)) (/ (* a (pow c 3)) (pow d 2))) b)) (* -1 (/ (pow c 2) d))) b)) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 (/ d c)) (/ (* a (pow d 2)) (* b (pow c 2)))))) |
(* -1 (/ (* b (pow d 3)) (pow c 3))) |
(/ (+ (* -1 (* a (* c (pow d 2)))) (* -1 (* b (pow d 3)))) (pow c 3)) |
(/ (+ (* -1 (* b (pow d 3))) (* c (+ (* -1 (* a (pow d 2))) (* b (* c d))))) (pow c 3)) |
(/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) c) |
(/ (+ (* -1 (* b (pow d 3))) (* c (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))))) (pow c 3)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(/ c (pow d 2)) |
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(/ 1 c) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(* (pow c 2) (+ (* -1 (/ (* a c) (* (pow b 2) (pow d 2)))) (/ 1 (* b d)))) |
(* (pow c 2) (+ (* c (- (/ (* (pow a 2) c) (* (pow b 3) (pow d 3))) (/ a (* (pow b 2) (pow d 2))))) (/ 1 (* b d)))) |
(* (pow c 2) (+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (* (pow b 4) (pow d 4)))) (* -1 (/ (pow a 2) (* (pow b 3) (pow d 3)))))) (/ a (* (pow b 2) (pow d 2))))) (/ 1 (* b d)))) |
(/ (+ (* a c) (* b d)) c) |
(/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 2)) |
(/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c) |
(/ (+ (* -1 (/ (* a (pow d 2)) c)) (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d))) c) |
(+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) |
(+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c)))) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c) |
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c) |
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a))) |
(* c (- (+ (/ 1 a) (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))) |
(* c (- (+ (* -1 (/ (* (pow b 3) (pow d 3)) (* (pow a 4) (pow c 3)))) (/ 1 a)) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c))))) |
(* -1 (/ (+ (* -1 (* b d)) (/ (* a (pow d 2)) c)) c)) |
(* -1 (/ (+ (* -1 (* b d)) (* -1 (/ (+ (* -1 (* a (pow d 2))) (* -1 (/ (* b (pow d 3)) c))) c))) c)) |
(+ a (* -1 (/ (+ (* -1 (* b d)) (/ (* a (pow d 2)) c)) c))) |
(+ a (* -1 (/ (+ (* -1 (* b d)) (* -1 (/ (+ (* -1 (* a (pow d 2))) (* -1 (/ (* b (pow d 3)) c))) c))) c))) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c)) |
(* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c)) |
(* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c)) |
(* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c)) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* c (- (/ (* b d) (* (pow a 2) c)) (/ 1 a)))) |
(* -1 (* c (- (* -1 (/ (- (/ (* (pow b 2) (pow d 2)) (* (pow a 3) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a)))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 3)) (* (pow a 4) c)) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a)))) |
(* d (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))) |
(* d (+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))) |
(* d (+ b (* -1 (/ (* a d) c)))) |
(+ a (* d (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)))) |
(+ a (* d (+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c)) |
(+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c)) |
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c)) |
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) d) |
(+ (* d (- (/ (* (pow b 2) d) (* (pow a 3) c)) (/ b (pow a 2)))) (/ c a)) |
(+ (* d (- (* d (- (* -1 (/ (* (pow b 3) d) (* (pow a 4) (pow c 2)))) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a)) |
(* (pow d 3) (+ (* -1 (/ a (* (pow c 2) d))) (* -1 (/ b (pow c 3))))) |
(* (pow d 3) (+ (* -1 (/ a (* (pow c 2) d))) (+ (* -1 (/ b (pow c 3))) (/ b (* c (pow d 2)))))) |
(* (pow d 2) (+ (* -1 (/ a c)) (/ b d))) |
(* (pow d 3) (+ (* -1 (/ a (* (pow c 2) d))) (+ (* -1 (/ b (pow c 3))) (+ (/ a (pow d 3)) (/ b (* c (pow d 2))))))) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(/ (+ (* -1 (/ (* a (pow c 3)) (* (pow b 2) d))) (/ (pow c 2) b)) d) |
(/ (- (+ (/ (* (pow a 2) (pow c 4)) (* (pow b 3) (pow d 2))) (/ (pow c 2) b)) (/ (* a (pow c 3)) (* (pow b 2) d))) d) |
(/ (- (+ (* -1 (/ (* (pow a 3) (pow c 5)) (* (pow b 4) (pow d 3)))) (/ (pow c 2) b)) (+ (* -1 (/ (* (pow a 2) (pow c 4)) (* (pow b 3) (pow d 2)))) (/ (* a (pow c 3)) (* (pow b 2) d)))) d) |
(* d (+ (/ a d) (/ b c))) |
(* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* -1 (* (pow d 3) (+ (/ a (* (pow c 2) d)) (/ b (pow c 3))))) |
(* -1 (* (pow d 3) (+ (* -1 (/ (+ (* -1 (/ a (pow c 2))) (/ b (* c d))) d)) (/ b (pow c 3))))) |
(* -1 (* (pow d 3) (+ (* -1 (/ (+ (* -1 (/ a (pow c 2))) (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) d))) d)) (/ b (pow c 3))))) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (/ (+ (* -1 (/ (pow c 2) b)) (/ (* a (pow c 3)) (* (pow b 2) d))) d)) |
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow a 2) (pow c 4)) (* (pow b 3) d)) (/ (* a (pow c 3)) (pow b 2))) d)) (* -1 (/ (pow c 2) b))) d)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 5)) (* (pow b 4) d)) (/ (* (pow a 2) (pow c 4)) (pow b 3))) d)) (/ (* a (pow c 3)) (pow b 2))) d)) (* -1 (/ (pow c 2) b))) d)) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | a | @ | 0 | ((+ (* (pow (/ d c) 3) (neg b)) (/ (+ (* (* d (/ (neg d) c)) a) (* b d)) c)) (+ (* (* d (/ (neg d) c)) a) (* b d)) (+ (+ (* (pow (/ d c) 3) (neg b)) (/ (+ (* (* d (/ (neg d) c)) a) (* b d)) c)) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* d d) (* c c))) a) (/ c (+ (* d d) (* c c))) (/ 1 c) (/ 1 (/ d b)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ d b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* c a) d) (/ 1 (/ c (+ (* (/ b c) d) a))) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c (+ (* (/ b c) d) a)) (+ (* (/ b c) d) a) (/ (+ (* (* d (/ (neg d) c)) a) (* b d)) c) (* (/ b c) d)) |
| 5.0ms | c | @ | -inf | ((+ (* (pow (/ d c) 3) (neg b)) (/ (+ (* (* d (/ (neg d) c)) a) (* b d)) c)) (+ (* (* d (/ (neg d) c)) a) (* b d)) (+ (+ (* (pow (/ d c) 3) (neg b)) (/ (+ (* (* d (/ (neg d) c)) a) (* b d)) c)) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* d d) (* c c))) a) (/ c (+ (* d d) (* c c))) (/ 1 c) (/ 1 (/ d b)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ d b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* c a) d) (/ 1 (/ c (+ (* (/ b c) d) a))) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c (+ (* (/ b c) d) a)) (+ (* (/ b c) d) a) (/ (+ (* (* d (/ (neg d) c)) a) (* b d)) c) (* (/ b c) d)) |
| 4.0ms | a | @ | -inf | ((+ (* (pow (/ d c) 3) (neg b)) (/ (+ (* (* d (/ (neg d) c)) a) (* b d)) c)) (+ (* (* d (/ (neg d) c)) a) (* b d)) (+ (+ (* (pow (/ d c) 3) (neg b)) (/ (+ (* (* d (/ (neg d) c)) a) (* b d)) c)) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* d d) (* c c))) a) (/ c (+ (* d d) (* c c))) (/ 1 c) (/ 1 (/ d b)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ d b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* c a) d) (/ 1 (/ c (+ (* (/ b c) d) a))) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c (+ (* (/ b c) d) a)) (+ (* (/ b c) d) a) (/ (+ (* (* d (/ (neg d) c)) a) (* b d)) c) (* (/ b c) d)) |
| 4.0ms | b | @ | 0 | ((+ (* (pow (/ d c) 3) (neg b)) (/ (+ (* (* d (/ (neg d) c)) a) (* b d)) c)) (+ (* (* d (/ (neg d) c)) a) (* b d)) (+ (+ (* (pow (/ d c) 3) (neg b)) (/ (+ (* (* d (/ (neg d) c)) a) (* b d)) c)) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* d d) (* c c))) a) (/ c (+ (* d d) (* c c))) (/ 1 c) (/ 1 (/ d b)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ d b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* c a) d) (/ 1 (/ c (+ (* (/ b c) d) a))) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c (+ (* (/ b c) d) a)) (+ (* (/ b c) d) a) (/ (+ (* (* d (/ (neg d) c)) a) (* b d)) c) (* (/ b c) d)) |
| 4.0ms | b | @ | -inf | ((+ (* (pow (/ d c) 3) (neg b)) (/ (+ (* (* d (/ (neg d) c)) a) (* b d)) c)) (+ (* (* d (/ (neg d) c)) a) (* b d)) (+ (+ (* (pow (/ d c) 3) (neg b)) (/ (+ (* (* d (/ (neg d) c)) a) (* b d)) c)) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* d d) (* c c))) a) (/ c (+ (* d d) (* c c))) (/ 1 c) (/ 1 (/ d b)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ d b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* c a) d) (/ 1 (/ c (+ (* (/ b c) d) a))) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c (+ (* (/ b c) d) a)) (+ (* (/ b c) d) a) (/ (+ (* (* d (/ (neg d) c)) a) (* b d)) c) (* (/ b c) d)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 836 | 3954 |
| 1 | 2807 | 3742 |
| 0 | 8542 | 3642 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c)) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) |
(* b d) |
(+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) |
(+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (+ (* a (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) (/ (* b d) c))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
b |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(/ (* b d) (pow c 2)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (pow c 2) (* b d)) |
(+ (* -1 (/ (* a (pow c 3)) (* (pow b 2) (pow d 2)))) (/ (pow c 2) (* b d))) |
(+ (* a (- (/ (* a (pow c 4)) (* (pow b 3) (pow d 3))) (/ (pow c 3) (* (pow b 2) (pow d 2))))) (/ (pow c 2) (* b d))) |
(+ (* a (- (* a (- (* -1 (/ (* a (pow c 5)) (* (pow b 4) (pow d 4)))) (* -1 (/ (pow c 4) (* (pow b 3) (pow d 3)))))) (/ (pow c 3) (* (pow b 2) (pow d 2))))) (/ (pow c 2) (* b d))) |
(/ (* b d) c) |
(+ a (/ (* b d) c)) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c)) |
(* -1 (/ (* a (pow d 2)) (pow c 2))) |
(* a (+ (* -1 (/ (* b (pow d 3)) (* a (pow c 3)))) (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c))))) |
(* -1 (/ (* a (pow d 2)) c)) |
(* a (+ (* -1 (/ (pow d 2) c)) (/ (* b d) a))) |
(* a (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) |
(* a (+ 1 (+ (* -1 (/ (* b (pow d 3)) (* a (pow c 3)))) (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b a) (/ c d))) |
(/ a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(/ c a) |
(/ (+ c (* -1 (/ (* b d) a))) a) |
(/ (- (+ c (/ (* (pow b 2) (pow d 2)) (* (pow a 2) c))) (/ (* b d) a)) a) |
(/ (- (+ c (* -1 (/ (* (pow b 3) (pow d 3)) (* (pow a 3) (pow c 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 2) c))) (/ (* b d) a))) a) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c)))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c)) a)) (/ (pow d 2) (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ (* b d) a)) (/ (pow d 2) c)))) |
(* -1 (* a (- (/ (pow d 2) (pow c 2)) 1))) |
(* -1 (* a (- (+ (* -1 (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c)) a)) (/ (pow d 2) (pow c 2))) 1))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (/ (+ (* -1 c) (/ (* b d) a)) a)) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (- (/ (* (pow b 2) (pow d 2)) (* a c)) (* b d)) a))) a)) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 3)) (* a (pow c 2))) (/ (* (pow b 2) (pow d 2)) c)) a)) (* b d)) a))) a)) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (+ (* -1 (/ (* b d) (* a c))) (/ (pow d 2) (pow c 2))))) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (* b (+ (* -1 (/ (pow d 3) (pow c 3))) (/ d c)))) |
(+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) |
(+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (* b (+ (* -1 (/ (pow d 3) (pow c 3))) (/ d c))))) |
(/ d b) |
(+ (* -1 (/ (* b d) (pow a 2))) (/ c a)) |
(+ (* b (- (/ (* b (pow d 2)) (* (pow a 3) c)) (/ d (pow a 2)))) (/ c a)) |
(+ (* b (- (* b (- (* -1 (/ (* b (pow d 3)) (* (pow a 4) (pow c 2)))) (* -1 (/ (pow d 2) (* (pow a 3) c))))) (/ d (pow a 2)))) (/ c a)) |
(* b (+ (* -1 (/ (pow d 3) (pow c 3))) (/ d c))) |
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (+ (* -1 (/ (pow d 3) (pow c 3))) (/ d c)))) |
(* b (+ d (* -1 (/ (* a (pow d 2)) (* b c))))) |
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (+ (* -1 (/ (pow d 3) (pow c 3))) (+ (/ a b) (/ d c))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(/ (+ (* -1 (/ (* a (pow c 3)) (* b (pow d 2)))) (/ (pow c 2) d)) b) |
(/ (- (+ (/ (* (pow a 2) (pow c 4)) (* (pow b 2) (pow d 3))) (/ (pow c 2) d)) (/ (* a (pow c 3)) (* b (pow d 2)))) b) |
(/ (- (+ (* -1 (/ (* (pow a 3) (pow c 5)) (* (pow b 3) (pow d 4)))) (/ (pow c 2) d)) (+ (* -1 (/ (* (pow a 2) (pow c 4)) (* (pow b 2) (pow d 3)))) (/ (* a (pow c 3)) (* b (pow d 2))))) b) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (/ d c))) |
(* -1 (* b (+ (* -1 (/ d c)) (/ (pow d 3) (pow c 3))))) |
(* -1 (* b (+ (* -1 (/ d c)) (+ (/ (* a (pow d 2)) (* b (pow c 2))) (/ (pow d 3) (pow c 3)))))) |
(* -1 (* b (+ (* -1 d) (/ (* a (pow d 2)) (* b c))))) |
(* -1 (* b (+ (* -1 (/ d c)) (+ (* -1 (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) b)) (/ (pow d 3) (pow c 3)))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (/ (+ (* -1 (/ (pow c 2) d)) (/ (* a (pow c 3)) (* b (pow d 2)))) b)) |
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow a 2) (pow c 4)) (* b (pow d 3))) (/ (* a (pow c 3)) (pow d 2))) b)) (* -1 (/ (pow c 2) d))) b)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 5)) (* b (pow d 4))) (/ (* (pow a 2) (pow c 4)) (pow d 3))) b)) (/ (* a (pow c 3)) (pow d 2))) b)) (* -1 (/ (pow c 2) d))) b)) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 (/ d c)) (/ (* a (pow d 2)) (* b (pow c 2)))))) |
(* -1 (/ (* b (pow d 3)) (pow c 3))) |
(/ (+ (* -1 (* a (* c (pow d 2)))) (* -1 (* b (pow d 3)))) (pow c 3)) |
(/ (+ (* -1 (* b (pow d 3))) (* c (+ (* -1 (* a (pow d 2))) (* b (* c d))))) (pow c 3)) |
(/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) c) |
(/ (+ (* -1 (* b (pow d 3))) (* c (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))))) (pow c 3)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(/ c (pow d 2)) |
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(/ 1 c) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(* (pow c 2) (+ (* -1 (/ (* a c) (* (pow b 2) (pow d 2)))) (/ 1 (* b d)))) |
(* (pow c 2) (+ (* c (- (/ (* (pow a 2) c) (* (pow b 3) (pow d 3))) (/ a (* (pow b 2) (pow d 2))))) (/ 1 (* b d)))) |
(* (pow c 2) (+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (* (pow b 4) (pow d 4)))) (* -1 (/ (pow a 2) (* (pow b 3) (pow d 3)))))) (/ a (* (pow b 2) (pow d 2))))) (/ 1 (* b d)))) |
(/ (+ (* a c) (* b d)) c) |
(/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 2)) |
(/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c) |
(/ (+ (* -1 (/ (* a (pow d 2)) c)) (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d))) c) |
(+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) |
(+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c)))) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c) |
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c) |
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a))) |
(* c (- (+ (/ 1 a) (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))) |
(* c (- (+ (* -1 (/ (* (pow b 3) (pow d 3)) (* (pow a 4) (pow c 3)))) (/ 1 a)) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c))))) |
(* -1 (/ (+ (* -1 (* b d)) (/ (* a (pow d 2)) c)) c)) |
(* -1 (/ (+ (* -1 (* b d)) (* -1 (/ (+ (* -1 (* a (pow d 2))) (* -1 (/ (* b (pow d 3)) c))) c))) c)) |
(+ a (* -1 (/ (+ (* -1 (* b d)) (/ (* a (pow d 2)) c)) c))) |
(+ a (* -1 (/ (+ (* -1 (* b d)) (* -1 (/ (+ (* -1 (* a (pow d 2))) (* -1 (/ (* b (pow d 3)) c))) c))) c))) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c)) |
(* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c)) |
(* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c)) |
(* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c)) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* c (- (/ (* b d) (* (pow a 2) c)) (/ 1 a)))) |
(* -1 (* c (- (* -1 (/ (- (/ (* (pow b 2) (pow d 2)) (* (pow a 3) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a)))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 3)) (* (pow a 4) c)) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a)))) |
(* d (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))) |
(* d (+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))) |
(* d (+ b (* -1 (/ (* a d) c)))) |
(+ a (* d (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)))) |
(+ a (* d (+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c)) |
(+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c)) |
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c)) |
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) d) |
(+ (* d (- (/ (* (pow b 2) d) (* (pow a 3) c)) (/ b (pow a 2)))) (/ c a)) |
(+ (* d (- (* d (- (* -1 (/ (* (pow b 3) d) (* (pow a 4) (pow c 2)))) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a)) |
(* (pow d 3) (+ (* -1 (/ a (* (pow c 2) d))) (* -1 (/ b (pow c 3))))) |
(* (pow d 3) (+ (* -1 (/ a (* (pow c 2) d))) (+ (* -1 (/ b (pow c 3))) (/ b (* c (pow d 2)))))) |
(* (pow d 2) (+ (* -1 (/ a c)) (/ b d))) |
(* (pow d 3) (+ (* -1 (/ a (* (pow c 2) d))) (+ (* -1 (/ b (pow c 3))) (+ (/ a (pow d 3)) (/ b (* c (pow d 2))))))) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(/ (+ (* -1 (/ (* a (pow c 3)) (* (pow b 2) d))) (/ (pow c 2) b)) d) |
(/ (- (+ (/ (* (pow a 2) (pow c 4)) (* (pow b 3) (pow d 2))) (/ (pow c 2) b)) (/ (* a (pow c 3)) (* (pow b 2) d))) d) |
(/ (- (+ (* -1 (/ (* (pow a 3) (pow c 5)) (* (pow b 4) (pow d 3)))) (/ (pow c 2) b)) (+ (* -1 (/ (* (pow a 2) (pow c 4)) (* (pow b 3) (pow d 2)))) (/ (* a (pow c 3)) (* (pow b 2) d)))) d) |
(* d (+ (/ a d) (/ b c))) |
(* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* -1 (* (pow d 3) (+ (/ a (* (pow c 2) d)) (/ b (pow c 3))))) |
(* -1 (* (pow d 3) (+ (* -1 (/ (+ (* -1 (/ a (pow c 2))) (/ b (* c d))) d)) (/ b (pow c 3))))) |
(* -1 (* (pow d 3) (+ (* -1 (/ (+ (* -1 (/ a (pow c 2))) (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) d))) d)) (/ b (pow c 3))))) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (/ (+ (* -1 (/ (pow c 2) b)) (/ (* a (pow c 3)) (* (pow b 2) d))) d)) |
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow a 2) (pow c 4)) (* (pow b 3) d)) (/ (* a (pow c 3)) (pow b 2))) d)) (* -1 (/ (pow c 2) b))) d)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 5)) (* (pow b 4) d)) (/ (* (pow a 2) (pow c 4)) (pow b 3))) d)) (/ (* a (pow c 3)) (pow b 2))) d)) (* -1 (/ (pow c 2) b))) d)) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
| Outputs |
|---|
(+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c)) |
(*.f64 (-.f64 (/.f64 d c) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) b) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) |
(fma.f64 (*.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d) d (*.f64 (-.f64 (/.f64 d c) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) b)) |
(* b d) |
(*.f64 b d) |
(+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) d) |
(+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (+ (* a (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) (/ (* b d) c))) |
(fma.f64 (*.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d) d (fma.f64 (-.f64 (/.f64 d c) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) b a)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 a (*.f64 d d)) c (/.f64 b d)) |
b |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 a d) c b) |
(/ (* a c) d) |
(*.f64 (/.f64 a d) c) |
(/ (* b d) (pow c 2)) |
(*.f64 (/.f64 b (*.f64 c c)) d) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 (/.f64 b (*.f64 c c)) d (/.f64 a c)) |
(/ (pow c 2) (* b d)) |
(*.f64 (/.f64 c b) (/.f64 c d)) |
(+ (* -1 (/ (* a (pow c 3)) (* (pow b 2) (pow d 2)))) (/ (pow c 2) (* b d))) |
(fma.f64 (neg.f64 (/.f64 a (*.f64 b b))) (/.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 d d)) (*.f64 (/.f64 c b) (/.f64 c d))) |
(+ (* a (- (/ (* a (pow c 4)) (* (pow b 3) (pow d 3))) (/ (pow c 3) (* (pow b 2) (pow d 2))))) (/ (pow c 2) (* b d))) |
(fma.f64 (-.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64)))) (/.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 b b) d) d))) a (*.f64 (/.f64 c b) (/.f64 c d))) |
(+ (* a (- (* a (- (* -1 (/ (* a (pow c 5)) (* (pow b 4) (pow d 4)))) (* -1 (/ (pow c 4) (* (pow b 3) (pow d 3)))))) (/ (pow c 3) (* (pow b 2) (pow d 2))))) (/ (pow c 2) (* b d))) |
(fma.f64 (/.f64 c b) (/.f64 c d) (*.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))))) a (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 b b)) (*.f64 (neg.f64 d) d))) a)) |
(/ (* b d) c) |
(*.f64 (/.f64 b c) d) |
(+ a (/ (* b d) c)) |
(fma.f64 (/.f64 b c) d a) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c)) |
(*.f64 (fma.f64 (/.f64 a (*.f64 c c)) (neg.f64 d) (/.f64 b c)) d) |
(* -1 (/ (* a (pow d 2)) (pow c 2))) |
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 (*.f64 d d) c)) |
(* a (+ (* -1 (/ (* b (pow d 3)) (* a (pow c 3)))) (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c))))) |
(*.f64 (fma.f64 (neg.f64 b) (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (fma.f64 (/.f64 d a) (/.f64 b c) (/.f64 (*.f64 (neg.f64 d) d) (*.f64 c c)))) a) |
(* -1 (/ (* a (pow d 2)) c)) |
(*.f64 (*.f64 (/.f64 (neg.f64 a) c) d) d) |
(* a (+ (* -1 (/ (pow d 2) c)) (/ (* b d) a))) |
(*.f64 (fma.f64 b (/.f64 d a) (/.f64 (*.f64 (neg.f64 d) d) c)) a) |
(* a (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) |
(* a (+ 1 (+ (* -1 (/ (* b (pow d 3)) (* a (pow c 3)))) (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c)))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) a) (/.f64 b (pow.f64 c #s(literal 3 binary64))) (*.f64 (/.f64 d c) (/.f64 d c))) (fma.f64 (/.f64 d a) (/.f64 b c) #s(literal 1 binary64))) a) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) (/.f64 d a) (/.f64 c (fma.f64 c c (*.f64 d d)))) a) |
(/ (* a c) (pow d 2)) |
(*.f64 (/.f64 a (*.f64 d d)) c) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(*.f64 (+.f64 (/.f64 c (*.f64 d d)) (/.f64 b (*.f64 a d))) a) |
(* a (+ (/ b a) (/ c d))) |
(*.f64 (+.f64 (/.f64 c d) (/.f64 b a)) a) |
(/ a c) |
(/.f64 a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(fma.f64 (*.f64 a b) (/.f64 d (*.f64 (*.f64 c c) a)) (/.f64 a c)) |
(/ c a) |
(/.f64 c a) |
(/ (+ c (* -1 (/ (* b d) a))) a) |
(/.f64 (-.f64 c (/.f64 (*.f64 b d) a)) a) |
(/ (- (+ c (/ (* (pow b 2) (pow d 2)) (* (pow a 2) c))) (/ (* b d) a)) a) |
(/.f64 (fma.f64 (/.f64 (*.f64 d d) (*.f64 a a)) (/.f64 (*.f64 b b) c) (-.f64 c (/.f64 (*.f64 b d) a))) a) |
(/ (- (+ c (* -1 (/ (* (pow b 3) (pow d 3)) (* (pow a 3) (pow c 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 2) c))) (/ (* b d) a))) a) |
(/.f64 (-.f64 (fma.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) c)) c) (-.f64 (/.f64 (*.f64 b d) a) (/.f64 (*.f64 (*.f64 (*.f64 b b) d) d) (*.f64 (*.f64 a a) c)))) a) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(fma.f64 (/.f64 (*.f64 (/.f64 b c) d) a) a a) |
(* a (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c)))) |
(*.f64 (fma.f64 (/.f64 d a) (/.f64 b c) (/.f64 (*.f64 (neg.f64 d) d) (*.f64 c c))) a) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c)) a)) (/ (pow d 2) (pow c 2))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 d c) (/.f64 d c) (/.f64 (*.f64 (-.f64 (/.f64 d c) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) b) (neg.f64 a)))) |
(* -1 (* a (+ (* -1 (/ (* b d) a)) (/ (pow d 2) c)))) |
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 b) (/.f64 d a) (/.f64 (*.f64 d d) c))) |
(* -1 (* a (- (/ (pow d 2) (pow c 2)) 1))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) |
(* -1 (* a (- (+ (* -1 (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c)) a)) (/ (pow d 2) (pow c 2))) 1))) |
(neg.f64 (fma.f64 (fma.f64 (/.f64 d c) (/.f64 d c) (/.f64 (*.f64 (-.f64 (/.f64 d c) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) b) (neg.f64 a))) a (neg.f64 a))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) (/.f64 d a) (/.f64 c (fma.f64 c c (*.f64 d d)))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 c) (*.f64 d d)) (/.f64 b (*.f64 a d)))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 c) d) (/.f64 b a))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 b) (/.f64 d (*.f64 (*.f64 c c) a)) (/.f64 #s(literal -1 binary64) c))) |
(* -1 (/ (+ (* -1 c) (/ (* b d) a)) a)) |
(/.f64 (-.f64 (/.f64 (*.f64 b d) a) c) (neg.f64 a)) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (- (/ (* (pow b 2) (pow d 2)) (* a c)) (* b d)) a))) a)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) c) (/.f64 (*.f64 d d) a) (*.f64 (neg.f64 d) b)) (neg.f64 a)) c) (neg.f64 a)) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 3)) (* a (pow c 2))) (/ (* (pow b 2) (pow d 2)) c)) a)) (* b d)) a))) a)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 c c)) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (*.f64 d d) c))) (neg.f64 a)) (*.f64 b d)) (neg.f64 a)) c) (neg.f64 a)) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 b) (/.f64 d (*.f64 a c)) #s(literal -1 binary64))) |
(* -1 (* a (+ (* -1 (/ (* b d) (* a c))) (/ (pow d 2) (pow c 2))))) |
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 b) (/.f64 d (*.f64 a c)) (*.f64 (/.f64 d c) (/.f64 d c)))) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (* b (+ (* -1 (/ (pow d 3) (pow c 3))) (/ d c)))) |
(fma.f64 (*.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d) d (*.f64 (-.f64 (/.f64 d c) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) b)) |
(+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) |
(+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (* b (+ (* -1 (/ (pow d 3) (pow c 3))) (/ d c))))) |
(fma.f64 (*.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d) d (fma.f64 (-.f64 (/.f64 d c) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) b a)) |
(/ d b) |
(/.f64 d b) |
(+ (* -1 (/ (* b d) (pow a 2))) (/ c a)) |
(fma.f64 (neg.f64 b) (/.f64 d (*.f64 a a)) (/.f64 c a)) |
(+ (* b (- (/ (* b (pow d 2)) (* (pow a 3) c)) (/ d (pow a 2)))) (/ c a)) |
(fma.f64 (-.f64 (*.f64 (/.f64 b (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 d d) c)) (/.f64 d (*.f64 a a))) b (/.f64 c a)) |
(+ (* b (- (* b (- (* -1 (/ (* b (pow d 3)) (* (pow a 4) (pow c 2)))) (* -1 (/ (pow d 2) (* (pow a 3) c))))) (/ d (pow a 2)))) (/ c a)) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 c c)) (*.f64 (/.f64 d (pow.f64 a #s(literal 3 binary64))) (/.f64 d c))) b (/.f64 (neg.f64 d) (*.f64 a a))) b (/.f64 c a)) |
(* b (+ (* -1 (/ (pow d 3) (pow c 3))) (/ d c))) |
(*.f64 (-.f64 (/.f64 d c) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) b) |
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (+ (* -1 (/ (pow d 3) (pow c 3))) (/ d c)))) |
(*.f64 (fma.f64 (/.f64 a b) (/.f64 (*.f64 (neg.f64 d) d) (*.f64 c c)) (-.f64 (/.f64 d c) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) b) |
(* b (+ d (* -1 (/ (* a (pow d 2)) (* b c))))) |
(*.f64 (-.f64 d (/.f64 (/.f64 (*.f64 (*.f64 d d) a) c) b)) b) |
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (+ (* -1 (/ (pow d 3) (pow c 3))) (+ (/ a b) (/ d c))))) |
(*.f64 (fma.f64 (/.f64 a b) (/.f64 (*.f64 (neg.f64 d) d) (*.f64 c c)) (+.f64 (/.f64 a b) (-.f64 (/.f64 d c) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))))) b) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) (/.f64 c b) (/.f64 d (fma.f64 c c (*.f64 d d)))) b) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(fma.f64 (*.f64 b a) (/.f64 c (*.f64 (*.f64 d d) b)) (/.f64 b d)) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(*.f64 (fma.f64 (/.f64 a b) (/.f64 c d) #s(literal 1 binary64)) b) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(*.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (/.f64 a b) c)) b) |
(/ (+ (* -1 (/ (* a (pow c 3)) (* b (pow d 2)))) (/ (pow c 2) d)) b) |
(/.f64 (fma.f64 (/.f64 (neg.f64 a) b) (/.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 d d)) (/.f64 (*.f64 c c) d)) b) |
(/ (- (+ (/ (* (pow a 2) (pow c 4)) (* (pow b 2) (pow d 3))) (/ (pow c 2) d)) (/ (* a (pow c 3)) (* b (pow d 2)))) b) |
(/.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 b b)) (/.f64 (*.f64 a a) (pow.f64 d #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 a) b) (/.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 d d)) (/.f64 (*.f64 c c) d))) b) |
(/ (- (+ (* -1 (/ (* (pow a 3) (pow c 5)) (* (pow b 3) (pow d 4)))) (/ (pow c 2) d)) (+ (* -1 (/ (* (pow a 2) (pow c 4)) (* (pow b 2) (pow d 3)))) (/ (* a (pow c 3)) (* b (pow d 2))))) b) |
(/.f64 (-.f64 (fma.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 b #s(literal 3 binary64)))) (/.f64 (*.f64 c c) d)) (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) b) (/.f64 a (*.f64 d d)) (*.f64 (*.f64 (neg.f64 a) a) (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) b))))) b) |
(* b (+ (/ a b) (/ d c))) |
(*.f64 (+.f64 (/.f64 a b) (/.f64 d c)) b) |
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (/ d c))) |
(*.f64 (fma.f64 (/.f64 a b) (/.f64 (*.f64 (neg.f64 d) d) (*.f64 c c)) (/.f64 d c)) b) |
(* -1 (* b (+ (* -1 (/ d c)) (/ (pow d 3) (pow c 3))))) |
(*.f64 (neg.f64 b) (-.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (/.f64 d c))) |
(* -1 (* b (+ (* -1 (/ d c)) (+ (/ (* a (pow d 2)) (* b (pow c 2))) (/ (pow d 3) (pow c 3)))))) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 d d) b) (/.f64 a (*.f64 c c)) (-.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (/.f64 d c)))) |
(* -1 (* b (+ (* -1 d) (/ (* a (pow d 2)) (* b c))))) |
(*.f64 (neg.f64 b) (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 d d) a) c) b) d)) |
(* -1 (* b (+ (* -1 (/ d c)) (+ (* -1 (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) b)) (/ (pow d 3) (pow c 3)))))) |
(*.f64 (neg.f64 b) (-.f64 (-.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (/.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) b)) (/.f64 d c))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (neg.f64 b) (neg.f64 (fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) (/.f64 c b) (/.f64 d (fma.f64 c c (*.f64 d d)))))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(*.f64 (neg.f64 b) (fma.f64 (neg.f64 a) (/.f64 c (*.f64 (*.f64 d d) b)) (/.f64 #s(literal -1 binary64) d))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(*.f64 (neg.f64 b) (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b d)) #s(literal -1 binary64))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 d) (*.f64 c c)) (/.f64 (/.f64 a b) c))) |
(* -1 (/ (+ (* -1 (/ (pow c 2) d)) (/ (* a (pow c 3)) (* b (pow d 2)))) b)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) b) (/.f64 a (*.f64 d d)) (/.f64 (*.f64 (neg.f64 c) c) d)) (neg.f64 b)) |
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow a 2) (pow c 4)) (* b (pow d 3))) (/ (* a (pow c 3)) (pow d 2))) b)) (* -1 (/ (pow c 2) d))) b)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) b) (/.f64 (*.f64 a a) (pow.f64 d #s(literal 3 binary64))) (*.f64 (neg.f64 a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 d d)))) (neg.f64 b)) (/.f64 (*.f64 c c) d)) (neg.f64 b)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 5)) (* b (pow d 4))) (/ (* (pow a 2) (pow c 4)) (pow d 3))) b)) (/ (* a (pow c 3)) (pow d 2))) b)) (* -1 (/ (pow c 2) d))) b)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (pow.f64 c #s(literal 5 binary64)) b) (*.f64 (*.f64 (neg.f64 a) a) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 3 binary64))))) (neg.f64 b)) (*.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (/.f64 a d))) (neg.f64 b)) (/.f64 (*.f64 c c) d)) (neg.f64 b)) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) (/.f64 d c))) |
(* -1 (* b (+ (* -1 (/ d c)) (/ (* a (pow d 2)) (* b (pow c 2)))))) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 d d) b) (/.f64 a (*.f64 c c)) (/.f64 d (neg.f64 c)))) |
(* -1 (/ (* b (pow d 3)) (pow c 3))) |
(*.f64 (neg.f64 b) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) |
(/ (+ (* -1 (* a (* c (pow d 2)))) (* -1 (* b (pow d 3)))) (pow c 3)) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 d #s(literal 3 binary64)) b (*.f64 (*.f64 (*.f64 d d) c) a))) (pow.f64 c #s(literal 3 binary64))) |
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(*.f64 (-.f64 (/.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) (/.f64 (/.f64 a (*.f64 c c)) d)) (pow.f64 d #s(literal 3 binary64))) |
(* (pow d 3) (+ (* -1 (/ a (* (pow c 2) d))) (+ (* -1 (/ b (pow c 3))) (/ b (* c (pow d 2)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 b (*.f64 (*.f64 d d) c)) (/.f64 b (pow.f64 c #s(literal 3 binary64)))) (/.f64 (/.f64 a (*.f64 c c)) d)) (pow.f64 d #s(literal 3 binary64))) |
(* (pow d 2) (+ (* -1 (/ a c)) (/ b d))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) (*.f64 d d)) |
(* (pow d 3) (+ (* -1 (/ a (* (pow c 2) d))) (+ (* -1 (/ b (pow c 3))) (+ (/ a (pow d 3)) (/ b (* c (pow d 2))))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 a (pow.f64 d #s(literal 3 binary64))) (/.f64 b (*.f64 (*.f64 d d) c))) (/.f64 b (pow.f64 c #s(literal 3 binary64)))) (/.f64 (/.f64 a (*.f64 c c)) d)) (pow.f64 d #s(literal 3 binary64))) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) d) (/.f64 (*.f64 c c) d) (fma.f64 (/.f64 a d) c b)) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (-.f64 (fma.f64 (neg.f64 a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (fma.f64 (/.f64 a d) c b)) (*.f64 (/.f64 (*.f64 c c) d) (/.f64 b d))) d) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/.f64 (-.f64 (*.f64 a c) (*.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (/.f64 a d))) (*.f64 d d)) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/.f64 (fma.f64 a c (*.f64 a (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 d d))))) (*.f64 d d)) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(/.f64 (-.f64 (-.f64 (*.f64 a c) (/.f64 (*.f64 (pow.f64 c #s(literal 7 binary64)) a) (pow.f64 d #s(literal 6 binary64)))) (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (/.f64 a d) (*.f64 (neg.f64 a) (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64)))))) (*.f64 d d)) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/.f64 (-.f64 c (/.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 d d))) (*.f64 d d)) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) c) (/.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 d d))) (*.f64 d d)) |
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/.f64 (-.f64 (-.f64 c (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 binary64)))) (-.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 d d)) (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))))) (*.f64 d d)) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(*.f64 (+.f64 (/.f64 (/.f64 a c) d) (/.f64 b (*.f64 c c))) d) |
(/ (+ (* -1 (/ (* a (pow c 3)) (* (pow b 2) d))) (/ (pow c 2) b)) d) |
(/.f64 (-.f64 (/.f64 (*.f64 c c) b) (*.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (/.f64 a (*.f64 b b)))) d) |
(/ (- (+ (/ (* (pow a 2) (pow c 4)) (* (pow b 3) (pow d 2))) (/ (pow c 2) b)) (/ (* a (pow c 3)) (* (pow b 2) d))) d) |
(/.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 d d)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 (/.f64 (*.f64 c c) b) (*.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (/.f64 a (*.f64 b b))))) d) |
(/ (- (+ (* -1 (/ (* (pow a 3) (pow c 5)) (* (pow b 4) (pow d 3)))) (/ (pow c 2) b)) (+ (* -1 (/ (* (pow a 2) (pow c 4)) (* (pow b 3) (pow d 2)))) (/ (* a (pow c 3)) (* (pow b 2) d)))) d) |
(/.f64 (-.f64 (fma.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 d #s(literal 3 binary64)))) (/.f64 (*.f64 c c) b)) (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 b b)) (/.f64 a d) (*.f64 (*.f64 (neg.f64 a) a) (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) d) d))))) d) |
(* d (+ (/ a d) (/ b c))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d) |
(* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(*.f64 (-.f64 (/.f64 (/.f64 b c) d) (/.f64 a (*.f64 c c))) (*.f64 d d)) |
(* -1 (* (pow d 3) (+ (/ a (* (pow c 2) d)) (/ b (pow c 3))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) (/.f64 (/.f64 a (*.f64 c c)) d)) (pow.f64 d #s(literal 3 binary64))) |
(* -1 (* (pow d 3) (+ (* -1 (/ (+ (* -1 (/ a (pow c 2))) (/ b (* c d))) d)) (/ b (pow c 3))))) |
(*.f64 (neg.f64 (-.f64 (/.f64 b (pow.f64 c #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 b c) d) (/.f64 a (*.f64 c c))) d))) (pow.f64 d #s(literal 3 binary64))) |
(* -1 (* (pow d 3) (+ (* -1 (/ (+ (* -1 (/ a (pow c 2))) (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) d))) d)) (/ b (pow c 3))))) |
(*.f64 (neg.f64 (-.f64 (/.f64 b (pow.f64 c #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 b (neg.f64 c)) (/.f64 a d)) (neg.f64 d)) (/.f64 a (*.f64 c c))) d))) (pow.f64 d #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a d) c b)) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) d) (*.f64 a c)) (neg.f64 d)) b) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 a c (/.f64 (fma.f64 a (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (*.f64 (*.f64 c c) b)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d)) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 b) (*.f64 c c)) (/.f64 (/.f64 a c) d)) (neg.f64 d)) |
(* -1 (/ (+ (* -1 (/ (pow c 2) b)) (/ (* a (pow c 3)) (* (pow b 2) d))) d)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (/.f64 a (*.f64 b b)) (/.f64 (*.f64 (neg.f64 c) c) b)) (neg.f64 d)) |
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow a 2) (pow c 4)) (* (pow b 3) d)) (/ (* a (pow c 3)) (pow b 2))) d)) (* -1 (/ (pow c 2) b))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a a) d) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (*.f64 (neg.f64 b) b))) (neg.f64 d)) (/.f64 (*.f64 c c) b)) (neg.f64 d)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 5)) (* (pow b 4) d)) (/ (* (pow a 2) (pow c 4)) (pow b 3))) d)) (/ (* a (pow c 3)) (pow b 2))) d)) (* -1 (/ (pow c 2) b))) d)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 5 binary64))) (*.f64 (pow.f64 b #s(literal 4 binary64)) d)) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) a) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 d)) (*.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) b) (/.f64 a b))) (neg.f64 d)) (/.f64 (*.f64 c c) b)) (neg.f64 d)) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 (-.f64 (/.f64 b (neg.f64 c)) (/.f64 a d)) (neg.f64 d)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 347 |
| 0 | 77 | 347 |
| 1 | 305 | 334 |
| 2 | 2248 | 334 |
| 0 | 8750 | 309 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (neg.f64 b) (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c)) |
(fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) |
(+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (neg.f64 b) (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c)) a) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (neg.f64 b) (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c)) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a)) |
(*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a) |
#s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) |
(/.f64 #s(literal 1 binary64) c) |
(/.f64 #s(literal 1 binary64) (/.f64 d b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
(/.f64 d b) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
(/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d) |
#s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) |
(/.f64 (*.f64 c a) d) |
(/.f64 #s(literal 1 binary64) (/.f64 c #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))))) |
(/.f64 c #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))) |
#s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) |
(/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c) |
(*.f64 (/.f64 b c) d) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 d c) #s(literal 6 binary64)) (*.f64 b b)) (pow.f64 (/.f64 (*.f64 d (fma.f64 a (/.f64 (neg.f64 d) c) b)) c) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (neg.f64 b) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) (/.f64 (*.f64 d (fma.f64 a (/.f64 (neg.f64 d) c) b)) c)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (/.f64 d c) #s(literal 9 binary64)) (pow.f64 (/.f64 (*.f64 d (fma.f64 a (/.f64 (neg.f64 d) c) b)) c) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 6 binary64)) (*.f64 b b) (*.f64 (/.f64 (*.f64 d (fma.f64 a (/.f64 (neg.f64 d) c) b)) c) (-.f64 (/.f64 (*.f64 d (fma.f64 a (/.f64 (neg.f64 d) c) b)) c) (*.f64 (neg.f64 b) (pow.f64 (/.f64 d c) #s(literal 3 binary64)))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (*.f64 (neg.f64 b) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) (/.f64 (*.f64 d (fma.f64 a (/.f64 (neg.f64 d) c) b)) c)) (-.f64 (*.f64 (pow.f64 (/.f64 d c) #s(literal 6 binary64)) (*.f64 b b)) (pow.f64 (/.f64 (*.f64 d (fma.f64 a (/.f64 (neg.f64 d) c) b)) c) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 6 binary64)) (*.f64 b b) (*.f64 (/.f64 (*.f64 d (fma.f64 a (/.f64 (neg.f64 d) c) b)) c) (-.f64 (/.f64 (*.f64 d (fma.f64 a (/.f64 (neg.f64 d) c) b)) c) (*.f64 (neg.f64 b) (pow.f64 (/.f64 d c) #s(literal 3 binary64)))))) (fma.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (/.f64 d c) #s(literal 9 binary64)) (pow.f64 (/.f64 (*.f64 d (fma.f64 a (/.f64 (neg.f64 d) c) b)) c) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 d (fma.f64 a (/.f64 (neg.f64 d) c) b)) c) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 d c) #s(literal 6 binary64)) (*.f64 b b)))) (neg.f64 (-.f64 (/.f64 (*.f64 d (fma.f64 a (/.f64 (neg.f64 d) c) b)) c) (*.f64 (neg.f64 b) (pow.f64 (/.f64 d c) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 d c) #s(literal 6 binary64)) (*.f64 b b)) (pow.f64 (/.f64 (*.f64 d (fma.f64 a (/.f64 (neg.f64 d) c) b)) c) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 b) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) (/.f64 (*.f64 d (fma.f64 a (/.f64 (neg.f64 d) c) b)) c))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (/.f64 d c) #s(literal 9 binary64)) (pow.f64 (/.f64 (*.f64 d (fma.f64 a (/.f64 (neg.f64 d) c) b)) c) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 6 binary64)) (*.f64 b b) (*.f64 (/.f64 (*.f64 d (fma.f64 a (/.f64 (neg.f64 d) c) b)) c) (-.f64 (/.f64 (*.f64 d (fma.f64 a (/.f64 (neg.f64 d) c) b)) c) (*.f64 (neg.f64 b) (pow.f64 (/.f64 d c) #s(literal 3 binary64))))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d c) #s(literal 6 binary64)) (*.f64 b b)) (-.f64 (*.f64 (neg.f64 b) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) (/.f64 (*.f64 d (fma.f64 a (/.f64 (neg.f64 d) c) b)) c))) (*.f64 (-.f64 (*.f64 (neg.f64 b) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) (/.f64 (*.f64 d (fma.f64 a (/.f64 (neg.f64 d) c) b)) c)) (pow.f64 (/.f64 (*.f64 d (fma.f64 a (/.f64 (neg.f64 d) c) b)) c) #s(literal 2 binary64)))) (pow.f64 (-.f64 (*.f64 (neg.f64 b) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) (/.f64 (*.f64 d (fma.f64 a (/.f64 (neg.f64 d) c) b)) c)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 a (*.f64 (/.f64 (neg.f64 d) c) d)) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (pow.f64 c #s(literal -1 binary64))) (pow.f64 c #s(literal 3 binary64))) (*.f64 (*.f64 d (-.f64 (*.f64 a (/.f64 (neg.f64 d) c)) b)) (*.f64 (pow.f64 d #s(literal 3 binary64)) b))) (*.f64 (*.f64 d (-.f64 (*.f64 a (/.f64 (neg.f64 d) c)) b)) (pow.f64 c #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 a (*.f64 (/.f64 (neg.f64 d) c) d)) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (pow.f64 c #s(literal -1 binary64))) (pow.f64 c #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a (*.f64 (/.f64 (neg.f64 d) c) d))) (pow.f64 (*.f64 a (*.f64 (/.f64 (neg.f64 d) c) d)) #s(literal 2 binary64))) (*.f64 (pow.f64 d #s(literal 3 binary64)) b))) (*.f64 (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a (*.f64 (/.f64 (neg.f64 d) c) d))) (pow.f64 (*.f64 a (*.f64 (/.f64 (neg.f64 d) c) d)) #s(literal 2 binary64))) (pow.f64 c #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 d (fma.f64 a (/.f64 (neg.f64 d) c) b)) #s(literal -1 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 (neg.f64 c) (*.f64 (pow.f64 d #s(literal 3 binary64)) b))) (*.f64 (neg.f64 c) (pow.f64 c #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 (*.f64 d (fma.f64 a (/.f64 (neg.f64 d) c) b)))) (pow.f64 c #s(literal 3 binary64))) (*.f64 (neg.f64 (neg.f64 c)) (*.f64 (pow.f64 d #s(literal 3 binary64)) b))) (*.f64 (neg.f64 (neg.f64 c)) (pow.f64 c #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 a (*.f64 (/.f64 (neg.f64 d) c) d)) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 d (-.f64 (*.f64 a (/.f64 (neg.f64 d) c)) b)) (neg.f64 c)) (*.f64 (pow.f64 d #s(literal 3 binary64)) b))) (*.f64 (*.f64 (*.f64 d (-.f64 (*.f64 a (/.f64 (neg.f64 d) c)) b)) (neg.f64 c)) (pow.f64 c #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 a (*.f64 (/.f64 (neg.f64 d) c) d)) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 d (-.f64 (*.f64 a (/.f64 (neg.f64 d) c)) b)) c) (*.f64 (pow.f64 d #s(literal 3 binary64)) b))) (*.f64 (*.f64 (*.f64 d (-.f64 (*.f64 a (/.f64 (neg.f64 d) c)) b)) c) (pow.f64 c #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 a (*.f64 (/.f64 (neg.f64 d) c) d)) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a (*.f64 (/.f64 (neg.f64 d) c) d))) (pow.f64 (*.f64 a (*.f64 (/.f64 (neg.f64 d) c) d)) #s(literal 2 binary64))) (neg.f64 c)) (*.f64 (pow.f64 d #s(literal 3 binary64)) b))) (*.f64 (*.f64 (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a (*.f64 (/.f64 (neg.f64 d) c) d))) (pow.f64 (*.f64 a (*.f64 (/.f64 (neg.f64 d) c) d)) #s(literal 2 binary64))) (neg.f64 c)) (pow.f64 c #s(literal 3 binary64)))) |
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#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (pow.f64 c #s(literal -1 binary64))) a)) |
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(pow.f64 (pow.f64 c #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 c)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 c c) #s(literal -1/2 binary64)) |
(pow.f64 c #s(literal -1 binary64)) |
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(/.f64 (*.f64 d #s(literal 1 binary64)) (/.f64 c b)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (*.f64 b d)))) |
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b d))) |
(/.f64 (*.f64 b d) c) |
(/.f64 (neg.f64 d) (neg.f64 (/.f64 c b))) |
(/.f64 d (/.f64 c b)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 (neg.f64 d) (/.f64 c b))) |
Compiled 36 710 to 3 877 computations (89.4% saved)
22 alts after pruning (13 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 745 | 7 | 752 |
| Fresh | 5 | 6 | 11 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 5 | 6 |
| Total | 752 | 22 | 774 |
| Status | Accuracy | Program |
|---|---|---|
| 39.7% | (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 22.3% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| ✓ | 55.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
| 47.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (neg.f64 b) (/.f64 #s(approx (+ (* (* d (/ (neg d) c)) a) (* b d)) (*.f64 b d)) c)) a) c)) | |
| 44.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (neg.f64 b) #s(approx (/ (+ (* (* d (/ (neg d) c)) a) (* b d)) c) (*.f64 (fma.f64 (/.f64 a (*.f64 c c)) (neg.f64 d) (/.f64 b c)) d))) a) c)) | |
| 39.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (+ (* (pow (/ d c) 3) (neg b)) (/ (+ (* (* d (/ (neg d) c)) a) (* b d)) c)) a) (*.f64 (neg.f64 a) (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64)))) c)) | |
| ✓ | 20.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c)) |
| 21.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) c)) | |
| ✓ | 23.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
| 23.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d)) | |
| ✓ | 43.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
| ✓ | 40.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| ✓ | 43.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
| ✓ | 21.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))))) |
| 44.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) | |
| ✓ | 43.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
| 43.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 b))) | |
| 23.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c))) (/.f64 #s(literal -1 binary64) d))) | |
| 21.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 c (*.f64 d d))) a)) | |
| ✓ | 40.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a)) |
| 19.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) | |
| 18.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ 1 (/ c (+ (* (/ b c) d) a))) (*.f64 (/.f64 b (*.f64 c c)) d))) |
Compiled 1 994 to 646 computations (67.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ 1 (/ c (+ (* (/ b c) d) a))) (*.f64 (/.f64 b (*.f64 c c)) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 c (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 d d))) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ a (+ (* d d) (* c c))) (/.f64 (/.f64 a d) d)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c)) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (neg (+ (* (/ a d) c) b)) (*.f64 (/.f64 (neg.f64 a) d) c)) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c))) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 (/.f64 b c) d a)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* (/ a (+ (* d d) (* c c))) c) (/.f64 (*.f64 a (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (neg.f64 c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* (/ c (+ (* d d) (* c c))) a) (/.f64 (*.f64 a (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (neg.f64 c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (+ (* (pow (/ d c) 3) (neg b)) (/ (+ (* (* d (/ (neg d) c)) a) (* b d)) c)) a) (*.f64 (neg.f64 a) (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64)))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (*.f64 (*.f64 b c) c) d)) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (neg.f64 b) (/.f64 #s(approx (+ (* (* d (/ (neg d) c)) a) (* b d)) (*.f64 b d)) c)) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (neg.f64 b) #s(approx (/ (+ (* (* d (/ (neg d) c)) a) (* b d)) c) (*.f64 (fma.f64 (/.f64 a (*.f64 c c)) (neg.f64 d) (/.f64 b c)) d))) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (neg.f64 b) (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c)) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 a) c) (*.f64 d (/.f64 d c)) (fma.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) a)) c)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c)))))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
5 calls:
| 34.0ms | c |
| 16.0ms | b |
| 14.0ms | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 13.0ms | a |
| 12.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.2% | 2 | a |
| 73.2% | 3 | b |
| 87.5% | 5 | c |
| 88.3% | 5 | d |
| 79.5% | 3 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 19 to 27 computations (-42.1% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ 1 (/ c (+ (* (/ b c) d) a))) (*.f64 (/.f64 b (*.f64 c c)) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 c (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 d d))) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ a (+ (* d d) (* c c))) (/.f64 (/.f64 a d) d)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c)) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (neg (+ (* (/ a d) c) b)) (*.f64 (/.f64 (neg.f64 a) d) c)) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c))) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 (/.f64 b c) d a)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* (/ a (+ (* d d) (* c c))) c) (/.f64 (*.f64 a (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (neg.f64 c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* (/ c (+ (* d d) (* c c))) a) (/.f64 (*.f64 a (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (neg.f64 c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (+ (* (pow (/ d c) 3) (neg b)) (/ (+ (* (* d (/ (neg d) c)) a) (* b d)) c)) a) (*.f64 (neg.f64 a) (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64)))) c)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
1 calls:
| 10.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.0% | 5 | d |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ 1 (/ c (+ (* (/ b c) d) a))) (*.f64 (/.f64 b (*.f64 c c)) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 c (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 d d))) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ a (+ (* d d) (* c c))) (/.f64 (/.f64 a d) d)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c)) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (neg (+ (* (/ a d) c) b)) (*.f64 (/.f64 (neg.f64 a) d) c)) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c))) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
2 calls:
| 29.0ms | d |
| 9.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.3% | 3 | c |
| 79.0% | 3 | d |
Compiled 2 to 8 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ 1 (/ c (+ (* (/ b c) d) a))) (*.f64 (/.f64 b (*.f64 c c)) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 c (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 d d))) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ a (+ (* d d) (* c c))) (/.f64 (/.f64 a d) d)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c)) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
3 calls:
| 7.0ms | c |
| 7.0ms | d |
| 7.0ms | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.9% | 3 | d |
| 62.1% | 3 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 78.1% | 4 | c |
Compiled 17 to 19 computations (-11.8% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ 1 (/ c (+ (* (/ b c) d) a))) (*.f64 (/.f64 b (*.f64 c c)) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 c (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 d d))) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ a (+ (* d d) (* c c))) (/.f64 (/.f64 a d) d)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c)) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
4 calls:
| 62.0ms | b |
| 7.0ms | a |
| 7.0ms | d |
| 7.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.2% | 6 | a |
| 70.9% | 5 | d |
| 64.3% | 3 | b |
| 73.6% | 6 | c |
Compiled 4 to 16 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ 1 (/ c (+ (* (/ b c) d) a))) (*.f64 (/.f64 b (*.f64 c c)) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 c (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 d d))) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ a (+ (* d d) (* c c))) (/.f64 (/.f64 a d) d)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
1 calls:
| 7.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.5% | 5 | c |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ 1 (/ c (+ (* (/ b c) d) a))) (*.f64 (/.f64 b (*.f64 c c)) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 c (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 d d))) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ a (+ (* d d) (* c c))) (/.f64 (/.f64 a d) d)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
2 calls:
| 5.0ms | d |
| 5.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.8% | 5 | d |
| 69.4% | 4 | c |
Compiled 2 to 8 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ 1 (/ c (+ (* (/ b c) d) a))) (*.f64 (/.f64 b (*.f64 c c)) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 c (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 d d))) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ a (+ (* d d) (* c c))) (/.f64 (/.f64 a d) d)) c)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
1 calls:
| 5.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.2% | 3 | c |
Compiled 1 to 4 computations (-300% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
5 calls:
| 3.0ms | a |
| 1.0ms | d |
| 1.0ms | b |
| 1.0ms | c |
| 1.0ms | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.2% | 1 | a |
| 40.2% | 1 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 40.2% | 1 | b |
| 40.2% | 1 | d |
| 40.2% | 1 | c |
Compiled 19 to 27 computations (-42.1% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.3022201640228767e+60 | 5.223902523474195e+64 |
| 18.0ms | 2.2061251799350126e-142 | 2.7222545639018275e-125 |
| 11.0ms | -2.4321107685267276e-120 | -8.153638212327339e-122 |
| 6.0ms | -1.8680805040054994e+71 | -1.0148525812526162e+71 |
| 31.0ms | 464× | 0 | valid |
Compiled 1 302 to 915 computations (29.7% saved)
ival-mult: 11.0ms (56.4% of total)ival-div: 5.0ms (25.6% of total)ival-add: 3.0ms (15.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.3022201640228767e+60 | 5.223902523474195e+64 |
| 4.0ms | 2.2061251799350126e-142 | 2.7222545639018275e-125 |
| 1.0ms | -2.4321107685267276e-120 | -8.153638212327339e-122 |
| 6.0ms | -1.8680805040054994e+71 | -1.0148525812526162e+71 |
| 2.0ms | 32× | 0 | valid |
Compiled 1 149 to 830 computations (27.8% saved)
ival-mult: 1.0ms (86.9% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 4.829965116097706e-44 | 2.7644062311875054e-39 |
| 11.0ms | -2.0577832481172206e-38 | -1.9597327086927243e-40 |
| 15.0ms | 240× | 0 | valid |
Compiled 738 to 498 computations (32.5% saved)
ival-mult: 6.0ms (66.7% of total)ival-add: 2.0ms (22.2% of total)ival-div: 1.0ms (11.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.1704391831613314e+154 | 8.58826141457926e+160 |
| 13.0ms | 7.711604590652556e-94 | 1.7817206848731018e-91 |
| 12.0ms | -5.001609547462726e+137 | -2.984453115294918e+133 |
| 24.0ms | 384× | 0 | valid |
Compiled 1 117 to 768 computations (31.2% saved)
ival-mult: 9.0ms (63.9% of total)ival-add: 3.0ms (21.3% of total)ival-div: 2.0ms (14.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 5× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.1704391831613314e+154 | 8.58826141457926e+160 |
| 10.0ms | 7.711604590652556e-94 | 1.7817206848731018e-91 |
| 45.0ms | 3.99418619891129e-296 | 3.135425716985174e-286 |
| 11.0ms | -8.670229764193342e-58 | -3.6469619699010963e-60 |
| 12.0ms | -7.801737397069826e+182 | -1.0023987021972041e+179 |
| 31.0ms | 496× | 0 | valid |
Compiled 1 776 to 1 242 computations (30.1% saved)
ival-mult: 12.0ms (65.5% of total)ival-add: 4.0ms (21.8% of total)ival-div: 3.0ms (16.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 1.1704391831613314e+154 | 8.58826141457926e+160 |
| 20.0ms | 2.7289408674429768e-123 | 2.7304516741703376e-108 |
| 1.0ms | -8.670229764193342e-58 | -3.6469619699010963e-60 |
| 1.0ms | -7.801737397069826e+182 | -1.0023987021972041e+179 |
| 16.0ms | 192× | 0 | valid |
Compiled 1 548 to 1 072 computations (30.7% saved)
ival-mult: 8.0ms (72.3% of total)ival-add: 2.0ms (18.1% of total)ival-div: 1.0ms (9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.1704391831613314e+154 | 8.58826141457926e+160 |
| 1.0ms | 2.7289408674429768e-123 | 2.7304516741703376e-108 |
| 18.0ms | -4.129038371651452e-33 | -2.0577832481172206e-38 |
| 13.0ms | 144× | 0 | valid |
Compiled 1 215 to 859 computations (29.3% saved)
ival-mult: 7.0ms (76.6% of total)ival-div: 1.0ms (10.9% of total)ival-add: 1.0ms (10.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 2.792720930197507e-67 | 4.096934882857612e-66 |
| 1.0ms | -4.129038371651452e-33 | -2.0577832481172206e-38 |
| 6.0ms | 96× | 0 | valid |
Compiled 588 to 438 computations (25.5% saved)
ival-mult: 2.0ms (57.3% of total)ival-div: 1.0ms (28.6% of total)ival-add: 1.0ms (28.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 876 |
| 1 | 123 | 876 |
| 2 | 132 | 876 |
| 3 | 139 | 876 |
| 4 | 144 | 876 |
| 5 | 146 | 876 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 d #s(literal -185000000000000000392103633222853202293349535006978501011586340203003904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -1569971644478511/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 3989444803373423/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c)) (if (<=.f64 d #s(literal 1000000000000000057857959942726969827393378689175040438172647424 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))))) |
(if (<=.f64 d #s(literal -185000000000000000392103633222853202293349535006978501011586340203003904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -3256237484844319/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 2301602771176975/25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 d #s(literal 1000000000000000057857959942726969827393378689175040438172647424 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))))) |
(if (<=.f64 c #s(literal -344811496694825/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal 3187590725001049/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)))) |
(if (<=.f64 c #s(literal -30000000000000000670535170784305798005295227902921278681436509286700794580727030787928610535529301785030457712512874861108755634847744 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 802724515596525/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 c #s(literal 12999999999999999438322098794574906741241322790552194538119357436456535537607035931016983603249767945252974976541954879599487129611252739907155155400785920 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))) |
(if (<=.f64 c #s(literal -101999999999999993111642560488146778149168020669312534902198438100630988680432774906775540248609140415294325088869576766074446173961075155221185768253546890069371160059986246107136 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -6558536304457363/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) (if (<=.f64 c #s(literal 1426392257886359/1371531017198422170813984062796802317518598158983083017528000497114049345439918236791293924884090698403321181334468027936239545965686161975806025929561417574903624675177501566133897549447983506160378135315589948797898488482227042247573189625097864053065113149143877397460535018451535921515162325512880128 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 96326941871583/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (if (<=.f64 c #s(literal 12999999999999999438322098794574906741241322790552194538119357436456535537607035931016983603249767945252974976541954879599487129611252739907155155400785920 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))))) |
(if (<=.f64 c #s(literal -101999999999999993111642560488146778149168020669312534902198438100630988680432774906775540248609140415294325088869576766074446173961075155221185768253546890069371160059986246107136 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -6558536304457363/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) (if (<=.f64 c #s(literal 3637742638686509/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 12000000000000000741083689728179300860774047506737883413558835600106129882515049101049668142894279387343668476782235654465533253946114566581028258018492416 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))))) |
(if (<=.f64 c #s(literal -6313687073269501/5846006549323611672814739330865132078623730171904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 3637742638686509/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 12000000000000000741083689728179300860774047506737883413558835600106129882515049101049668142894279387343668476782235654465533253946114566581028258018492416 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))) |
(if (<=.f64 c #s(literal -6313687073269501/5846006549323611672814739330865132078623730171904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 5767298273795133/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| Outputs |
|---|
(if (<=.f64 d #s(literal -185000000000000000392103633222853202293349535006978501011586340203003904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -1569971644478511/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 3989444803373423/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c)) (if (<=.f64 d #s(literal 1000000000000000057857959942726969827393378689175040438172647424 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))))) |
(if (<=.f64 d #s(literal -185000000000000000392103633222853202293349535006978501011586340203003904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -1569971644478511/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) (/.f64 (+.f64 (*.f64 b d) (*.f64 c a)) (+.f64 (*.f64 d d) (*.f64 c c))) (if (<=.f64 d #s(literal 3989444803373423/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c)) (if (<=.f64 d #s(literal 1000000000000000057857959942726969827393378689175040438172647424 binary64)) (/.f64 (+.f64 (*.f64 b d) (*.f64 c a)) (+.f64 (*.f64 d d) (*.f64 c c))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))))) |
(if (<=.f64 d #s(literal -185000000000000000392103633222853202293349535006978501011586340203003904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -3256237484844319/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 2301602771176975/25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 d #s(literal 1000000000000000057857959942726969827393378689175040438172647424 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))))) |
(if (<=.f64 d #s(literal -185000000000000000392103633222853202293349535006978501011586340203003904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -3256237484844319/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) (/.f64 (+.f64 (*.f64 b d) (*.f64 c a)) (+.f64 (*.f64 d d) (*.f64 c c))) (if (<=.f64 d #s(literal 2301602771176975/25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 d #s(literal 1000000000000000057857959942726969827393378689175040438172647424 binary64)) (/.f64 (+.f64 (*.f64 b d) (*.f64 c a)) (+.f64 (*.f64 d d) (*.f64 c c))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))))) |
(if (<=.f64 c #s(literal -344811496694825/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal 3187590725001049/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)))) |
(if (<=.f64 c #s(literal -30000000000000000670535170784305798005295227902921278681436509286700794580727030787928610535529301785030457712512874861108755634847744 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 802724515596525/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 c #s(literal 12999999999999999438322098794574906741241322790552194538119357436456535537607035931016983603249767945252974976541954879599487129611252739907155155400785920 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))) |
(if (<=.f64 c #s(literal -101999999999999993111642560488146778149168020669312534902198438100630988680432774906775540248609140415294325088869576766074446173961075155221185768253546890069371160059986246107136 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -6558536304457363/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) (if (<=.f64 c #s(literal 1426392257886359/1371531017198422170813984062796802317518598158983083017528000497114049345439918236791293924884090698403321181334468027936239545965686161975806025929561417574903624675177501566133897549447983506160378135315589948797898488482227042247573189625097864053065113149143877397460535018451535921515162325512880128 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 96326941871583/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (if (<=.f64 c #s(literal 12999999999999999438322098794574906741241322790552194538119357436456535537607035931016983603249767945252974976541954879599487129611252739907155155400785920 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))))) |
(if (<=.f64 c #s(literal -101999999999999993111642560488146778149168020669312534902198438100630988680432774906775540248609140415294325088869576766074446173961075155221185768253546890069371160059986246107136 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -6558536304457363/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) (if (<=.f64 c #s(literal 3637742638686509/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 12000000000000000741083689728179300860774047506737883413558835600106129882515049101049668142894279387343668476782235654465533253946114566581028258018492416 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))))) |
(if (<=.f64 c #s(literal -6313687073269501/5846006549323611672814739330865132078623730171904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 3637742638686509/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 12000000000000000741083689728179300860774047506737883413558835600106129882515049101049668142894279387343668476782235654465533253946114566581028258018492416 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))) |
(if (<=.f64 c #s(literal -6313687073269501/5846006549323611672814739330865132078623730171904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 5767298273795133/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 593 |
| 1 | 618 | 583 |
| 2 | 1892 | 559 |
| 3 | 5765 | 557 |
| 0 | 8305 | 512 |
| 0 | 32 | 200 |
| 0 | 48 | 194 |
| 1 | 172 | 194 |
| 2 | 1212 | 194 |
| 0 | 8922 | 188 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 148 to 320 computations (72.1% saved)
Compiled 1 854 to 280 computations (84.9% saved)
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