
Time bar (total: 5.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 9 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 10 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 11 |
| 93.8% | 93.6% | 6.2% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 568.0ms | 8 256× | 0 | valid |
ival-div: 59.0ms (34.3% of total)ival-mult: 57.0ms (33.2% of total)ival-sub: 47.0ms (27.4% of total)ival-true: 6.0ms (3.5% of total)ival-assert: 3.0ms (1.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 38 | 0 | - | 1 | (4.1148491637216105e-183 -1.1306890375159875e-252 -1.7076701054485186e-128) | (/.f64 (*.f64 x (-.f64 y z)) y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 y z) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x (-.f64 y z)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x (-.f64 y z)) y) | o/n | 28 | 0 |
| ↳ | (*.f64 x (-.f64 y z)) | overflow | 61 | |
/.f64 | (/.f64 (*.f64 x (-.f64 y z)) y) | u/n | 9 | 0 |
| ↳ | (*.f64 x (-.f64 y z)) | underflow | 9 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 37 | 1 |
| - | 0 | 218 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 37 | 0 | 1 |
| - | 0 | 0 | 218 |
| number | freq |
|---|---|
| 0 | 219 |
| 1 | 37 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 28.0ms | 512× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-sub: 7.0ms (50.2% of total)ival-div: 3.0ms (21.5% of total)ival-mult: 3.0ms (21.5% 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 | 27 | 76 |
| 1 | 80 | 70 |
| 2 | 276 | 65 |
| 3 | 1203 | 63 |
| 4 | 3319 | 63 |
| 5 | 4779 | 63 |
| 6 | 5690 | 63 |
| 7 | 6122 | 63 |
| 8 | 6301 | 63 |
| 9 | 6309 | 63 |
| 10 | 6767 | 63 |
| 11 | 7698 | 63 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 14 | 7 |
| 2 | 31 | 7 |
| 3 | 52 | 7 |
| 4 | 102 | 7 |
| 5 | 190 | 7 |
| 6 | 401 | 7 |
| 7 | 1169 | 7 |
| 8 | 3478 | 7 |
| 9 | 4697 | 7 |
| 10 | 5403 | 7 |
| 11 | 5586 | 7 |
| 12 | 5728 | 7 |
| 13 | 5903 | 7 |
| 14 | 7334 | 7 |
| 15 | 7802 | 7 |
| 16 | 7965 | 7 |
| 0 | 8001 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (-.f64 y z)) y) |
| Outputs |
|---|
(/.f64 (*.f64 x (-.f64 y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(negabs x)
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 86.2% | (/.f64 (*.f64 x (-.f64 y z)) y) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | (*.f64 x (-.f64 y z)) | |
| cost-diff | 0 | (/.f64 (*.f64 x (-.f64 y z)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 9 | 18 |
| 1 | 14 | 18 |
| 2 | 31 | 18 |
| 3 | 52 | 18 |
| 4 | 102 | 18 |
| 5 | 190 | 18 |
| 6 | 401 | 18 |
| 7 | 1169 | 18 |
| 8 | 3478 | 18 |
| 9 | 4697 | 18 |
| 10 | 5403 | 18 |
| 11 | 5586 | 18 |
| 12 | 5728 | 18 |
| 13 | 5903 | 18 |
| 14 | 7334 | 18 |
| 15 | 7802 | 18 |
| 16 | 7965 | 18 |
| 0 | 8001 | 18 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (-.f64 y z)) y) |
(*.f64 x (-.f64 y z)) |
x |
(-.f64 y z) |
y |
z |
| Outputs |
|---|
(/.f64 (*.f64 x (-.f64 y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(*.f64 x (-.f64 y z)) |
(*.f64 (-.f64 y z) x) |
x |
(-.f64 y z) |
y |
z |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 y z) | |
| accuracy | 0.0 | (*.f64 x (-.f64 y z)) | |
| accuracy | 8.84883701328149 | (/.f64 (*.f64 x (-.f64 y z)) y) |
| 21.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-div: 2.0ms (39.4% of total)ival-mult: 2.0ms (39.4% of total)ival-sub: 1.0ms (19.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 x (-.f64 y z)) y) |
(*.f64 x (-.f64 y z)) |
(-.f64 y z) |
| Outputs |
|---|
(/ (* x (- y z)) y) |
(* x (- y z)) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(* -1 (* x z)) |
(+ (* -1 (* x z)) (* x y)) |
(* -1 z) |
(- y z) |
x |
(+ x (* -1 (/ (* x z) y))) |
(* x y) |
(* y (+ x (* -1 (/ (* x z) y)))) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* -1 (* y (+ (* -1 x) (/ (* x z) y)))) |
(* -1 (* y (- (/ z y) 1))) |
(+ y (* -1 z)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 x) (/ (* x y) z))) |
(* z (- (/ y z) 1)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ x (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((/ (* x (- y z)) y) (* x (- y z)) (- y z)) |
| 1.0ms | x | @ | -inf | ((/ (* x (- y z)) y) (* x (- y z)) (- y z)) |
| 1.0ms | x | @ | inf | ((/ (* x (- y z)) y) (* x (- y z)) (- y z)) |
| 1.0ms | x | @ | 0 | ((/ (* x (- y z)) y) (* x (- y z)) (- y z)) |
| 1.0ms | y | @ | inf | ((/ (* x (- y z)) y) (* x (- y z)) (- y z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 100 |
| 1 | 174 | 100 |
| 2 | 503 | 100 |
| 3 | 1320 | 100 |
| 4 | 2861 | 100 |
| 5 | 4809 | 100 |
| 6 | 6206 | 100 |
| 7 | 6622 | 100 |
| 8 | 6737 | 100 |
| 9 | 6805 | 100 |
| 10 | 7674 | 100 |
| 11 | 7966 | 100 |
| 0 | 8054 | 100 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (- y z)) y) |
(* x (- y z)) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(* -1 (* x z)) |
(+ (* -1 (* x z)) (* x y)) |
(* -1 z) |
(- y z) |
x |
(+ x (* -1 (/ (* x z) y))) |
(* x y) |
(* y (+ x (* -1 (/ (* x z) y)))) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* -1 (* y (+ (* -1 x) (/ (* x z) y)))) |
(* -1 (* y (- (/ z y) 1))) |
(+ y (* -1 z)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 x) (/ (* x y) z))) |
(* z (- (/ y z) 1)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ x (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
| Outputs |
|---|
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* x (- y z)) |
(*.f64 (-.f64 y z) x) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 x) y) z) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(+ (* -1 (* x z)) (* x y)) |
(*.f64 (-.f64 y z) x) |
(* -1 z) |
(neg.f64 z) |
(- y z) |
(-.f64 y z) |
x |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (/ (* x z) y)))) |
(*.f64 (-.f64 y z) x) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(* -1 (* y (+ (* -1 x) (/ (* x z) y)))) |
(*.f64 (-.f64 y z) x) |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* z (+ (* -1 x) (/ (* x y) z))) |
(*.f64 (-.f64 y z) x) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (* z (+ x (* -1 (/ (* x y) z))))) |
(*.f64 (-.f64 y z) x) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 35 | 15 |
| 2 | 223 | 15 |
| 3 | 2306 | 15 |
| 0 | 9100 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (-.f64 y z)) y) |
(*.f64 x (-.f64 y z)) |
(-.f64 y z) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (/.f64 y x) (*.f64 (+.f64 z y) (neg.f64 (-.f64 y z)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (+.f64 z y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 y x) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x)) #s(literal -1 binary64)) (pow.f64 (+.f64 z y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 y x) (fma.f64 (neg.f64 z) z (*.f64 y y))) #s(literal -1 binary64)) (pow.f64 (+.f64 z y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 y) (-.f64 y z)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 y z) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 y z) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 y z))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 y z) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (-.f64 y z) x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (-.f64 y z) y)) |
(*.f64 (/.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 y z)) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 y z) y)) |
(*.f64 (/.f64 x y) (-.f64 y z)) |
(*.f64 (neg.f64 x) (*.f64 (-.f64 y z) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (-.f64 y z)) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 y z) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) |
(*.f64 (neg.f64 (-.f64 y z)) (/.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 (-.f64 y z)) (*.f64 x (/.f64 #s(literal -1 binary64) y))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 (-.f64 y z) y))) |
(*.f64 (/.f64 (-.f64 y z) y) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (*.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (/.f64 x y))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 y z) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y z) x) y)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) (/.f64 x y))) |
(*.f64 (*.f64 (neg.f64 x) (-.f64 y z)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 y z) x) y) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 y z) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (-.f64 y z) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (-.f64 y z) (/.f64 x y)) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 (-.f64 y z) x)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 y (*.f64 (-.f64 y z) x)) (/.f64 y (*.f64 (-.f64 y z) x))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 y z) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 y (*.f64 (-.f64 y z) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (-.f64 y z) x) y) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (/.f64 (-.f64 y z) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 0 binary64) y) (fma.f64 (*.f64 (neg.f64 x) (/.f64 (-.f64 y z) y)) (*.f64 (neg.f64 x) (/.f64 (-.f64 y z) y)) (*.f64 (/.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 x) (/.f64 (-.f64 y z) y)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 x) (/.f64 (-.f64 y z) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (neg.f64 x) (/.f64 (-.f64 y z) y)) (*.f64 (neg.f64 x) (/.f64 (-.f64 y z) y)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 (-.f64 y z) y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y x) (pow.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) (pow.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y x) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 y x) (pow.f64 y #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) x) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 z) x) (pow.f64 y #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 y x) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 z) x) (pow.f64 y #s(literal -1 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 y x)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 y x)) (-.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 z) x)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 z) x))) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 y x)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 z) x)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (+.f64 z y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 z y) (neg.f64 (-.f64 y z))) (/.f64 x y))) (neg.f64 (neg.f64 (+.f64 z y)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 x y))) (neg.f64 (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x y))) (neg.f64 (+.f64 z y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y))) (neg.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 x y))) (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x))) (neg.f64 (+.f64 z y))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x))) (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) (-.f64 y z)) #s(literal 1 binary64))) y) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x))) (neg.f64 (*.f64 (+.f64 z y) y))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))))) (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 z z (*.f64 y y)) (+.f64 z y)) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (+.f64 z y)) (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (+.f64 z y) z (*.f64 y y))) (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (fma.f64 (+.f64 z y) z (*.f64 y y))) (*.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z y) (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) (+.f64 z y)) (*.f64 (+.f64 z y) (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 z y) (fma.f64 z z (*.f64 y y))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 z y) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 (*.f64 y y) (*.f64 (neg.f64 z) y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 y y) (*.f64 (neg.f64 z) y)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (+.f64 z y) z (*.f64 y y))) |
(/.f64 (-.f64 y z) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (-.f64 y z))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z y) z) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 z y) z)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 z y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z y) z) (-.f64 (*.f64 (+.f64 z y) z) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (-.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y))))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 (neg.f64 z) z (*.f64 y y))) (-.f64 y z) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y))))) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 z)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (neg.f64 z)) |
(fma.f64 #s(literal -1 binary64) z y) |
(fma.f64 #s(literal 1 binary64) y (neg.f64 z)) |
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 z y) z (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(fma.f64 z #s(literal -1 binary64) y) |
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 z y) z (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(fma.f64 y (/.f64 y (+.f64 z y)) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y))))) |
(fma.f64 y #s(literal 1 binary64) (neg.f64 z)) |
(-.f64 (/.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 z y))) #s(literal 2 binary64)) (fma.f64 y (/.f64 y (+.f64 z y)) (*.f64 z (/.f64 z (+.f64 z y))))) (/.f64 (pow.f64 (*.f64 z (/.f64 z (+.f64 z y))) #s(literal 2 binary64)) (fma.f64 y (/.f64 y (+.f64 z y)) (*.f64 z (/.f64 z (+.f64 z y)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) (/.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))))) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 (neg.f64 z) y)) (/.f64 (*.f64 y y) (-.f64 (neg.f64 z) y))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (+.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 z y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (/.f64 z (+.f64 z y))) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 y (+.f64 z y))) (*.f64 z (/.f64 z (+.f64 z y))))))) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (+.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 z y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (/.f64 z (+.f64 z y))) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 y (+.f64 z y))) (*.f64 z (/.f64 z (+.f64 z y)))))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) (+.f64 z y)) (pow.f64 (+.f64 z y) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 z y) (*.f64 z z)) (pow.f64 (+.f64 z y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 z y) (fma.f64 z z (*.f64 y y)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (+.f64 z y) (fma.f64 z z (*.f64 y y))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))) (/.f64 (pow.f64 z #s(literal 9 binary64)) (*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (+.f64 z y) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (+.f64 z y) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 z z (*.f64 y y))) (+.f64 z y)) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (*.f64 y y))) (+.f64 z y))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 z y)) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 z y))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z (-.f64 (*.f64 y y) (*.f64 (neg.f64 z) y)))) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z (-.f64 (*.f64 y y) (*.f64 (neg.f64 z) y))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (fma.f64 z z (-.f64 (*.f64 y y) (*.f64 (neg.f64 z) y)))) (/.f64 (/.f64 (pow.f64 z #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (fma.f64 z z (-.f64 (*.f64 y y) (*.f64 (neg.f64 z) y))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z z (-.f64 (*.f64 y y) (*.f64 (neg.f64 z) y)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (-.f64 (*.f64 y y) (*.f64 (neg.f64 z) y))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (/.f64 (pow.f64 z #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)))) (neg.f64 (-.f64 y z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 z y))) (neg.f64 (-.f64 y z))) |
(-.f64 (+.f64 y #s(literal 0 binary64)) z) |
(-.f64 (*.f64 y (/.f64 y (+.f64 z y))) (*.f64 z (/.f64 z (+.f64 z y)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(-.f64 #s(literal 0 binary64) (-.f64 z y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 y z) #s(literal -1 binary64))) |
(-.f64 y z) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 y (/.f64 y (+.f64 z y))) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(+.f64 (neg.f64 z) y) |
(+.f64 y (neg.f64 z)) |
Compiled 10 065 to 1 544 computations (84.7% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 417 | 8 | 425 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 417 | 9 | 426 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 85.4% | (/.f64 (-.f64 y z) (/.f64 y x)) |
| ▶ | 55.0% | (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) (*.f64 (+.f64 z y) y)) |
| ✓ | 86.2% | (/.f64 (*.f64 x (-.f64 y z)) y) |
| ▶ | 53.1% | (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) |
| ▶ | 36.6% | (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
| 95.8% | (/.f64 x (/.f64 y (-.f64 y z))) | |
| ▶ | 95.9% | (*.f64 (/.f64 (-.f64 y z) y) x) |
| 86.0% | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) | |
| 55.5% | #s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 x) y) z)) |
Compiled 169 to 132 computations (21.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) z (*.f64 y y)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) | |
| cost-diff | 8 | (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) (*.f64 (+.f64 z y) y)) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | (/.f64 (-.f64 y z) (/.f64 y x)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (- y z) (neg.f64 z)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- y z) (neg.f64 z))) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (* x (- y z)) (*.f64 y x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) | |
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | (/.f64 (-.f64 y z) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (-.f64 y z) y) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 135 |
| 0 | 41 | 127 |
| 1 | 74 | 127 |
| 2 | 129 | 127 |
| 3 | 238 | 127 |
| 4 | 714 | 127 |
| 5 | 2658 | 127 |
| 6 | 5577 | 127 |
| 0 | 8163 | 127 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/.f64 (-.f64 y z) y) |
(-.f64 y z) |
y |
z |
x |
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
#s(approx (* x (- y z)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) |
(*.f64 x #s(approx (- y z) (neg.f64 z))) |
x |
#s(approx (- y z) (neg.f64 z)) |
(neg.f64 z) |
z |
y |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(-.f64 y z) |
y |
z |
(/.f64 y x) |
x |
(/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) (*.f64 (+.f64 z y) y)) |
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) |
(fma.f64 (neg.f64 z) z (*.f64 y y)) |
(neg.f64 z) |
z |
(*.f64 y y) |
y |
x |
(*.f64 (+.f64 z y) y) |
(+.f64 z y) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(/.f64 (-.f64 y z) y) |
(-.f64 y z) |
y |
z |
x |
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
(/.f64 #s(approx (* x (- y z)) (*.f64 x y)) y) |
#s(approx (* x (- y z)) (*.f64 y x)) |
#s(approx (* x (- y z)) (*.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) |
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) |
(*.f64 x #s(approx (- y z) (neg.f64 z))) |
(*.f64 #s(approx (- y z) (neg.f64 z)) x) |
x |
#s(approx (- y z) (neg.f64 z)) |
(neg.f64 z) |
z |
y |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(-.f64 y z) |
y |
z |
(/.f64 y x) |
x |
(/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) (*.f64 (+.f64 z y) y)) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) |
(fma.f64 (neg.f64 z) z (*.f64 y y)) |
(neg.f64 z) |
z |
(*.f64 y y) |
y |
x |
(*.f64 (+.f64 z y) y) |
(+.f64 z y) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 1.7499807332389217 | (fma.f64 (neg.f64 z) z (*.f64 y y)) | |
| accuracy | 8.356747597461482 | (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) | |
| accuracy | 25.50705619122447 | (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) (*.f64 (+.f64 z y) y)) | |
| accuracy | 0.0 | (/.f64 y x) | |
| accuracy | 0.0 | (-.f64 y z) | |
| accuracy | 9.328787371634885 | (/.f64 (-.f64 y z) (/.f64 y x)) | |
| accuracy | 0.0 | (*.f64 x #s(approx (- y z) (neg.f64 z))) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 8.84883701328149 | (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) | |
| accuracy | 27.27898353474236 | #s(approx (- y z) (neg.f64 z)) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 8.84883701328149 | (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) | |
| accuracy | 32.33085495996698 | #s(approx (* x (- y z)) (*.f64 y x)) | |
| accuracy | 0.0 | (-.f64 y z) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 y z) y) | |
| accuracy | 2.6314194486436793 | (*.f64 (/.f64 (-.f64 y z) y) x) |
| 56.0ms | 256× | 0 | valid |
Compiled 123 to 21 computations (82.9% saved)
ival-mult: 29.0ms (69% of total)ival-div: 8.0ms (19% of total)ival-sub: 2.0ms (4.8% of total)ival-add: 2.0ms (4.8% of total)ival-neg: 1.0ms (2.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/.f64 (-.f64 y z) y) |
(-.f64 y z) |
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
#s(approx (* x (- y z)) (*.f64 y x)) |
(*.f64 y x) |
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) |
(*.f64 x #s(approx (- y z) (neg.f64 z))) |
#s(approx (- y z) (neg.f64 z)) |
(neg.f64 z) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(/.f64 y x) |
(/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) (*.f64 (+.f64 z y) y)) |
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) |
(fma.f64 (neg.f64 z) z (*.f64 y y)) |
| Outputs |
|---|
(/ (* x (- y z)) y) |
(* x (- y z)) |
(* x y) |
(/ y x) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* y (+ y z))) |
(* x (+ (* -1 (pow z 2)) (pow y 2))) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(* -1 (/ z y)) |
(/ (+ y (* -1 z)) y) |
(* -1 z) |
(- y z) |
(* -1 (* x z)) |
(+ (* -1 (* x z)) (* x y)) |
(* -1 (* x (pow z 2))) |
(+ (* -1 (* x (pow z 2))) (* x (pow y 2))) |
(* -1 (pow z 2)) |
(+ (* -1 (pow z 2)) (pow y 2)) |
x |
(+ x (* -1 (/ (* x z) y))) |
1 |
(+ 1 (* -1 (/ z y))) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ x (* -1 (/ (* x z) y)))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -1 (/ (* x (pow z 2)) (pow y 2))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (+ (* -1 x) (/ (* x z) y)))) |
(+ y (* -1 z)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (- (/ 1 z) (/ 1 y))) |
(* z (- (/ y z) 1)) |
(* z (+ (* -1 x) (/ (* x y) z))) |
(* (pow z 2) (+ (* -1 x) (/ (* x (pow y 2)) (pow z 2)))) |
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (- (/ 1 y) (/ 1 z)))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ x (* -1 (/ (* x y) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 108.0ms | z | @ | 0 | ((* (/ (- y z) y) x) (/ (- y z) y) (- y z) (/ (* x (- y z)) y) (* x (- y z)) (* y x) (/ (* x (- y z)) y) (* x (- y z)) (- y z) (neg z) (/ (- y z) (/ y x)) (/ y x) (/ (* (+ (* (neg z) z) (* y y)) x) (* (+ z y) y)) (* (+ (* (neg z) z) (* y y)) x) (+ (* (neg z) z) (* y y))) |
| 4.0ms | x | @ | 0 | ((* (/ (- y z) y) x) (/ (- y z) y) (- y z) (/ (* x (- y z)) y) (* x (- y z)) (* y x) (/ (* x (- y z)) y) (* x (- y z)) (- y z) (neg z) (/ (- y z) (/ y x)) (/ y x) (/ (* (+ (* (neg z) z) (* y y)) x) (* (+ z y) y)) (* (+ (* (neg z) z) (* y y)) x) (+ (* (neg z) z) (* y y))) |
| 3.0ms | x | @ | -inf | ((* (/ (- y z) y) x) (/ (- y z) y) (- y z) (/ (* x (- y z)) y) (* x (- y z)) (* y x) (/ (* x (- y z)) y) (* x (- y z)) (- y z) (neg z) (/ (- y z) (/ y x)) (/ y x) (/ (* (+ (* (neg z) z) (* y y)) x) (* (+ z y) y)) (* (+ (* (neg z) z) (* y y)) x) (+ (* (neg z) z) (* y y))) |
| 3.0ms | y | @ | -inf | ((* (/ (- y z) y) x) (/ (- y z) y) (- y z) (/ (* x (- y z)) y) (* x (- y z)) (* y x) (/ (* x (- y z)) y) (* x (- y z)) (- y z) (neg z) (/ (- y z) (/ y x)) (/ y x) (/ (* (+ (* (neg z) z) (* y y)) x) (* (+ z y) y)) (* (+ (* (neg z) z) (* y y)) x) (+ (* (neg z) z) (* y y))) |
| 2.0ms | y | @ | inf | ((* (/ (- y z) y) x) (/ (- y z) y) (- y z) (/ (* x (- y z)) y) (* x (- y z)) (* y x) (/ (* x (- y z)) y) (* x (- y z)) (- y z) (neg z) (/ (- y z) (/ y x)) (/ y x) (/ (* (+ (* (neg z) z) (* y y)) x) (* (+ z y) y)) (* (+ (* (neg z) z) (* y y)) x) (+ (* (neg z) z) (* y y))) |
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 226 |
| 1 | 281 | 218 |
| 2 | 806 | 218 |
| 3 | 2574 | 218 |
| 4 | 5337 | 218 |
| 0 | 8226 | 218 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (- y z)) y) |
(* x (- y z)) |
(* x y) |
(/ y x) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* y (+ y z))) |
(* x (+ (* -1 (pow z 2)) (pow y 2))) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(* -1 (/ z y)) |
(/ (+ y (* -1 z)) y) |
(* -1 z) |
(- y z) |
(* -1 (* x z)) |
(+ (* -1 (* x z)) (* x y)) |
(* -1 (* x (pow z 2))) |
(+ (* -1 (* x (pow z 2))) (* x (pow y 2))) |
(* -1 (pow z 2)) |
(+ (* -1 (pow z 2)) (pow y 2)) |
x |
(+ x (* -1 (/ (* x z) y))) |
1 |
(+ 1 (* -1 (/ z y))) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ x (* -1 (/ (* x z) y)))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -1 (/ (* x (pow z 2)) (pow y 2))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (+ (* -1 x) (/ (* x z) y)))) |
(+ y (* -1 z)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (- (/ 1 z) (/ 1 y))) |
(* z (- (/ y z) 1)) |
(* z (+ (* -1 x) (/ (* x y) z))) |
(* (pow z 2) (+ (* -1 x) (/ (* x (pow y 2)) (pow z 2)))) |
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (- (/ 1 y) (/ 1 z)))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ x (* -1 (/ (* x y) z))))) |
| Outputs |
|---|
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* x (- y z)) |
(*.f64 (-.f64 y z) x) |
(* x y) |
(*.f64 x y) |
(/ y x) |
(/.f64 y x) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* y (+ y z))) |
(*.f64 (/.f64 (/.f64 x (+.f64 z y)) y) (*.f64 (+.f64 z y) (-.f64 y z))) |
(* x (+ (* -1 (pow z 2)) (pow y 2))) |
(*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) x) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 x) y) z) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(/ (+ y (* -1 z)) y) |
(/.f64 (-.f64 y z) y) |
(* -1 z) |
(neg.f64 z) |
(- y z) |
(-.f64 y z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(+ (* -1 (* x z)) (* x y)) |
(*.f64 (-.f64 y z) x) |
(* -1 (* x (pow z 2))) |
(*.f64 (neg.f64 x) (*.f64 z z)) |
(+ (* -1 (* x (pow z 2))) (* x (pow y 2))) |
(*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) x) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(+ (* -1 (pow z 2)) (pow y 2)) |
(*.f64 (+.f64 z y) (-.f64 y z)) |
x |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ z y))) |
(/.f64 (-.f64 y z) y) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(* y (+ x (* -1 (/ (* x z) y)))) |
(*.f64 (-.f64 y z) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (* -1 (/ (* x (pow z 2)) (pow y 2))))) |
(*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) x) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) |
(*.f64 (+.f64 z y) (-.f64 y z)) |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(* -1 (* y (+ (* -1 x) (/ (* x z) y)))) |
(*.f64 (-.f64 y z) x) |
(+ y (* -1 z)) |
(-.f64 y z) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* z (- (/ 1 z) (/ 1 y))) |
(/.f64 (-.f64 y z) y) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (+ (* -1 x) (/ (* x y) z))) |
(*.f64 (-.f64 y z) x) |
(* (pow z 2) (+ (* -1 x) (/ (* x (pow y 2)) (pow z 2)))) |
(*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) x) |
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1)) |
(*.f64 (+.f64 z y) (-.f64 y z)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (* z (- (/ 1 y) (/ 1 z)))) |
(/.f64 (-.f64 y z) y) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* -1 (* z (+ x (* -1 (/ (* x y) z))))) |
(*.f64 (-.f64 y z) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 105 |
| 0 | 41 | 97 |
| 1 | 143 | 97 |
| 2 | 917 | 97 |
| 0 | 8826 | 97 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/.f64 (-.f64 y z) y) |
(-.f64 y z) |
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
#s(approx (* x (- y z)) (*.f64 y x)) |
(*.f64 y x) |
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) |
(*.f64 x #s(approx (- y z) (neg.f64 z))) |
#s(approx (- y z) (neg.f64 z)) |
(neg.f64 z) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(/.f64 y x) |
(/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) (*.f64 (+.f64 z y) y)) |
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) |
(fma.f64 (neg.f64 z) z (*.f64 y y)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 x y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 z (+.f64 z y)) #s(literal 2 binary64)))) (-.f64 (*.f64 y (-.f64 y z)) (*.f64 z z))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 x y)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 z (+.f64 z y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 z (+.f64 z y)) (-.f64 (*.f64 z (+.f64 z y)) (*.f64 y y))))) |
(*.f64 (/.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) y) x) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (fma.f64 z z (*.f64 y (-.f64 y z))))) |
(*.f64 (/.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) y) x) #s(literal 1 binary64)) (pow.f64 (+.f64 z y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) y) x) (fma.f64 (neg.f64 z) z (*.f64 y y))) (-.f64 y z)) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 x (*.f64 (+.f64 z y) y))) (-.f64 (neg.f64 (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 x (*.f64 (+.f64 z y) y))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (neg.f64 z) z (*.f64 y y))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 x (*.f64 (+.f64 z y) y))) (-.f64 (pow.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 x (*.f64 (+.f64 z y) y))) (+.f64 (pow.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64)))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) y)) (-.f64 z y)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y)) (fma.f64 z z (*.f64 y (-.f64 y z)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) (*.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z)))) (-.f64 z y)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) (fma.f64 (pow.f64 z #s(literal 3 binary64)) y (pow.f64 y #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y (-.f64 y z)))) |
(*.f64 (/.f64 (/.f64 (-.f64 y z) y) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (/.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) y) x) (fma.f64 (neg.f64 y) y (*.f64 z z))) (-.f64 z y)) |
(*.f64 (/.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) y) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 y y (*.f64 z (-.f64 z y)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) y) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z (*.f64 y (-.f64 y z)))) |
(*.f64 (/.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (*.f64 (/.f64 (-.f64 z y) y) #s(literal -1 binary64)) x) |
(*.f64 (*.f64 (/.f64 x (*.f64 (+.f64 z y) y)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 z z (*.f64 y y)))) |
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(fma.f64 (*.f64 z z) #s(literal -1 binary64) (*.f64 y y)) |
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 z z (*.f64 y (-.f64 y z))) #s(literal -1 binary64)) y) (*.f64 (+.f64 z y) (neg.f64 z))) |
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 z z (*.f64 y (-.f64 y z))) #s(literal -1 binary64)) y) (*.f64 (neg.f64 z) (+.f64 z y))) |
(fma.f64 (neg.f64 y) (neg.f64 (+.f64 z y)) (*.f64 (+.f64 z y) (neg.f64 z))) |
(fma.f64 (neg.f64 y) (neg.f64 (+.f64 z y)) (*.f64 (neg.f64 z) (+.f64 z y))) |
(fma.f64 (*.f64 (+.f64 z y) y) #s(literal 1 binary64) (*.f64 (+.f64 z y) (neg.f64 z))) |
(fma.f64 (*.f64 (+.f64 z y) y) #s(literal 1 binary64) (*.f64 (neg.f64 z) (+.f64 z y))) |
(fma.f64 (+.f64 z y) (neg.f64 z) (*.f64 (+.f64 z y) y)) |
(fma.f64 (+.f64 z y) y (*.f64 (+.f64 z y) (neg.f64 z))) |
(fma.f64 (+.f64 z y) y (*.f64 (neg.f64 z) (+.f64 z y))) |
(fma.f64 (neg.f64 z) (+.f64 z y) (*.f64 (+.f64 z y) y)) |
(fma.f64 (neg.f64 z) z (neg.f64 (*.f64 (neg.f64 y) y))) |
(fma.f64 (neg.f64 z) z (*.f64 y y)) |
(fma.f64 z (neg.f64 z) (neg.f64 (*.f64 (neg.f64 y) y))) |
(fma.f64 z (neg.f64 z) (*.f64 y y)) |
(fma.f64 y (+.f64 z y) (*.f64 (+.f64 z y) (neg.f64 z))) |
(fma.f64 y (+.f64 z y) (*.f64 (neg.f64 z) (+.f64 z y))) |
(fma.f64 y y (*.f64 (neg.f64 z) z)) |
(-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 z z)) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 y y (*.f64 z z)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 (fma.f64 z z (*.f64 y y)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (fma.f64 z z (*.f64 y y))))) |
(-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 y) y (*.f64 z z))) |
(-.f64 (*.f64 y y) (*.f64 z z)) |
(+.f64 (*.f64 (+.f64 z y) (neg.f64 z)) (*.f64 (+.f64 z y) y)) |
(+.f64 (*.f64 (neg.f64 z) (+.f64 z y)) (*.f64 (+.f64 z y) y)) |
(+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 (fma.f64 z z (*.f64 y y)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (fma.f64 z z (*.f64 y y)))))) |
(+.f64 (*.f64 (neg.f64 z) z) (neg.f64 (*.f64 (neg.f64 y) y))) |
(+.f64 (*.f64 (neg.f64 z) z) (*.f64 y y)) |
(+.f64 (*.f64 (+.f64 z y) y) (*.f64 (+.f64 z y) (neg.f64 z))) |
(+.f64 (*.f64 (+.f64 z y) y) (*.f64 (neg.f64 z) (+.f64 z y))) |
(+.f64 (*.f64 y y) (*.f64 (neg.f64 z) z)) |
Compiled 25 940 to 3 068 computations (88.2% saved)
12 alts after pruning (8 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 190 | 7 | 1 197 |
| Fresh | 2 | 1 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 194 | 12 | 1 206 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.2% | (/.f64 (*.f64 (*.f64 y (-.f64 y z)) x) (*.f64 y y)) |
| ✓ | 86.2% | (/.f64 (*.f64 x (-.f64 y z)) y) |
| ✓ | 53.1% | (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) |
| 55.7% | (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) | |
| ✓ | 36.6% | (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
| ▶ | 95.8% | (/.f64 x (/.f64 y (-.f64 y z))) |
| 95.8% | (*.f64 (fma.f64 z (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x) | |
| ✓ | 95.9% | (*.f64 (/.f64 (-.f64 y z) y) x) |
| ▶ | 53.7% | (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) |
| 55.5% | (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) | |
| ▶ | 86.0% | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 z y) x)) |
| ▶ | 44.8% | (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
Compiled 183 to 152 computations (16.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | (*.f64 y (-.f64 y z)) | |
| cost-diff | 0 | (*.f64 (*.f64 y (-.f64 y z)) x) | |
| cost-diff | 4 | (/.f64 (*.f64 (*.f64 y (-.f64 y z)) x) (*.f64 y y)) | |
| cost-diff | 0 | (-.f64 z y) | |
| cost-diff | 0 | (*.f64 (-.f64 z y) x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 2 | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 z y) x)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (- y z) (neg.f64 z)) | |
| cost-diff | 0 | (/.f64 #s(approx (- y z) (neg.f64 z)) y) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) | |
| cost-diff | 0 | #s(approx (/ (- y z) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | (/.f64 y (-.f64 y z)) | |
| cost-diff | 0 | (/.f64 x (/.f64 y (-.f64 y z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 121 |
| 0 | 40 | 115 |
| 1 | 72 | 115 |
| 2 | 155 | 115 |
| 3 | 450 | 115 |
| 4 | 1399 | 115 |
| 5 | 3700 | 115 |
| 6 | 6748 | 115 |
| 0 | 8154 | 115 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 y (-.f64 y z))) |
x |
(/.f64 y (-.f64 y z)) |
y |
(-.f64 y z) |
z |
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
#s(approx (/ (- y z) y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) |
(/.f64 #s(approx (- y z) (neg.f64 z)) y) |
#s(approx (- y z) (neg.f64 z)) |
(neg.f64 z) |
z |
y |
x |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 z y) x)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(*.f64 (-.f64 z y) x) |
(-.f64 z y) |
z |
x |
(/.f64 (*.f64 (*.f64 y (-.f64 y z)) x) (*.f64 y y)) |
(*.f64 (*.f64 y (-.f64 y z)) x) |
(*.f64 y (-.f64 y z)) |
y |
(-.f64 y z) |
z |
x |
(*.f64 y y) |
| Outputs |
|---|
(/.f64 x (/.f64 y (-.f64 y z))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
x |
(/.f64 y (-.f64 y z)) |
y |
(-.f64 y z) |
z |
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
#s(approx (/ (- y z) y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) |
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) |
(/.f64 #s(approx (- y z) (neg.f64 z)) y) |
#s(approx (- y z) (neg.f64 z)) |
(neg.f64 z) |
z |
y |
x |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 z y) x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(*.f64 (-.f64 z y) x) |
(-.f64 z y) |
z |
x |
(/.f64 (*.f64 (*.f64 y (-.f64 y z)) x) (*.f64 y y)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 (*.f64 y (-.f64 y z)) x) |
(*.f64 (*.f64 (-.f64 y z) y) x) |
(*.f64 y (-.f64 y z)) |
(*.f64 (-.f64 y z) y) |
y |
(-.f64 y z) |
z |
x |
(*.f64 y y) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.00390625 | (*.f64 y (-.f64 y z)) | |
| accuracy | 7.405545305028906 | (*.f64 (*.f64 y (-.f64 y z)) x) | |
| accuracy | 25.610856022089322 | (/.f64 (*.f64 (*.f64 y (-.f64 y z)) x) (*.f64 y y)) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.0 | (-.f64 z y) | |
| accuracy | 0.0 | (*.f64 (-.f64 z y) x) | |
| accuracy | 8.95821201328149 | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 z y) x)) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (- y z) (neg.f64 z)) y) | |
| accuracy | 2.6314194486436793 | (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) | |
| accuracy | 27.27898353474236 | #s(approx (- y z) (neg.f64 z)) | |
| accuracy | 2.6314194486436793 | (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) | |
| accuracy | 35.45311469013376 | #s(approx (/ (- y z) y) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (-.f64 y z) | |
| accuracy | 0.00390625 | (/.f64 y (-.f64 y z)) | |
| accuracy | 2.6509506986436793 | (/.f64 x (/.f64 y (-.f64 y z))) |
| 38.0ms | 256× | 0 | valid |
Compiled 110 to 21 computations (80.9% saved)
ival-mult: 10.0ms (43.3% of total)ival-div: 9.0ms (39% of total)ival-sub: 3.0ms (13% of total)ival-neg: 1.0ms (4.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 x (/.f64 y (-.f64 y z))) |
(/.f64 y (-.f64 y z)) |
(-.f64 y z) |
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
#s(approx (/ (- y z) y) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) |
(/.f64 #s(approx (- y z) (neg.f64 z)) y) |
#s(approx (- y z) (neg.f64 z)) |
(neg.f64 z) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 z y) x)) |
(/.f64 #s(literal -1 binary64) y) |
(*.f64 (-.f64 z y) x) |
(-.f64 z y) |
(/.f64 (*.f64 (*.f64 y (-.f64 y z)) x) (*.f64 y y)) |
(*.f64 (*.f64 y (-.f64 y z)) x) |
(*.f64 y (-.f64 y z)) |
(*.f64 y y) |
| Outputs |
|---|
(/ (* x (- y z)) y) |
(* -1 (/ (* x (- z y)) y)) |
(* x (- z y)) |
(* x (* y (- y z))) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(* -1 (/ y z)) |
(* y (- (* -1 (/ y (pow z 2))) (/ 1 z))) |
(* y (- (* y (- (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))) |
(* y (- (* y (- (* y (- (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))) |
(* -1 z) |
(- y z) |
(* -1 (/ z y)) |
(/ (+ y (* -1 z)) y) |
(/ -1 y) |
(* x z) |
(+ (* -1 (* x y)) (* x z)) |
z |
(+ z (* -1 y)) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (* x y))) |
(* -1 (* y z)) |
(* y (+ y (* -1 z))) |
(pow y 2) |
x |
(+ x (* -1 (/ (* x z) y))) |
1 |
(+ 1 (/ z y)) |
(- (+ 1 (/ (pow z 2) (pow y 2))) (* -1 (/ z y))) |
(- (+ 1 (/ (pow z 3) (pow y 3))) (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (pow y 2))))) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(+ 1 (* -1 (/ z y))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ (* x z) y))) |
(* -1 y) |
(* y (- (/ z y) 1)) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -1 (/ (* x z) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ z y)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (* -1 (pow z 2))) y)) z) y))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (+ x (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(+ 1 (* z (+ (/ 1 y) (/ z (pow y 2))))) |
(+ 1 (* z (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y)))) |
(+ y (* -1 z)) |
(- z y) |
(+ (* -1 (* x (* y z))) (* x (pow y 2))) |
(+ (* -1 (* y z)) (pow y 2)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(/ (+ (* -1 y) (* -1 (/ (pow y 2) z))) z) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow z 2)))) (/ (pow y 2) z)) z) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow z 3)))) (+ (/ (pow y 2) z) (/ (pow y 3) (pow z 2)))) z) |
(* z (- (/ y z) 1)) |
(* z (- (/ 1 z) (/ 1 y))) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(* z (+ 1 (* -1 (/ y z)))) |
(* z (+ (* -1 (* x y)) (/ (* x (pow y 2)) z))) |
(* z (+ (* -1 y) (/ (pow y 2) z))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (/ (+ y (/ (pow y 2) z)) z)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z))) z)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (* -1 (pow y 3))) z)) (pow y 2)) z))) z)) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (- (/ 1 y) (/ 1 z)))) |
(* -1 (* z (+ (* -1 x) (/ (* x y) z)))) |
(* -1 (* z (- (/ y z) 1))) |
(* -1 (* z (+ (* -1 (/ (* x (pow y 2)) z)) (* x y)))) |
(* -1 (* z (+ y (* -1 (/ (pow y 2) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | -inf | ((/ x (/ y (- y z))) (/ y (- y z)) (- y z) (* (/ (- y z) y) x) (/ (- y z) y) (* (/ (- y z) y) x) (/ (- y z) y) (- y z) (neg z) (* (/ -1 y) (* (- z y) x)) (/ -1 y) (* (- z y) x) (- z y) (/ (* (* y (- y z)) x) (* y y)) (* (* y (- y z)) x) (* y (- y z)) (* y y)) |
| 2.0ms | y | @ | inf | ((/ x (/ y (- y z))) (/ y (- y z)) (- y z) (* (/ (- y z) y) x) (/ (- y z) y) (* (/ (- y z) y) x) (/ (- y z) y) (- y z) (neg z) (* (/ -1 y) (* (- z y) x)) (/ -1 y) (* (- z y) x) (- z y) (/ (* (* y (- y z)) x) (* y y)) (* (* y (- y z)) x) (* y (- y z)) (* y y)) |
| 2.0ms | x | @ | 0 | ((/ x (/ y (- y z))) (/ y (- y z)) (- y z) (* (/ (- y z) y) x) (/ (- y z) y) (* (/ (- y z) y) x) (/ (- y z) y) (- y z) (neg z) (* (/ -1 y) (* (- z y) x)) (/ -1 y) (* (- z y) x) (- z y) (/ (* (* y (- y z)) x) (* y y)) (* (* y (- y z)) x) (* y (- y z)) (* y y)) |
| 2.0ms | y | @ | 0 | ((/ x (/ y (- y z))) (/ y (- y z)) (- y z) (* (/ (- y z) y) x) (/ (- y z) y) (* (/ (- y z) y) x) (/ (- y z) y) (- y z) (neg z) (* (/ -1 y) (* (- z y) x)) (/ -1 y) (* (- z y) x) (- z y) (/ (* (* y (- y z)) x) (* y y)) (* (* y (- y z)) x) (* y (- y z)) (* y y)) |
| 2.0ms | z | @ | inf | ((/ x (/ y (- y z))) (/ y (- y z)) (- y z) (* (/ (- y z) y) x) (/ (- y z) y) (* (/ (- y z) y) x) (/ (- y z) y) (- y z) (neg z) (* (/ -1 y) (* (- z y) x)) (/ -1 y) (* (- z y) x) (- z y) (/ (* (* y (- y z)) x) (* y y)) (* (* y (- y z)) x) (* y (- y z)) (* y y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 198 | 537 |
| 1 | 616 | 517 |
| 2 | 1729 | 487 |
| 3 | 5573 | 480 |
| 0 | 8279 | 464 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (- y z)) y) |
(* -1 (/ (* x (- z y)) y)) |
(* x (- z y)) |
(* x (* y (- y z))) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(* -1 (/ y z)) |
(* y (- (* -1 (/ y (pow z 2))) (/ 1 z))) |
(* y (- (* y (- (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))) |
(* y (- (* y (- (* y (- (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))) |
(* -1 z) |
(- y z) |
(* -1 (/ z y)) |
(/ (+ y (* -1 z)) y) |
(/ -1 y) |
(* x z) |
(+ (* -1 (* x y)) (* x z)) |
z |
(+ z (* -1 y)) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (* x y))) |
(* -1 (* y z)) |
(* y (+ y (* -1 z))) |
(pow y 2) |
x |
(+ x (* -1 (/ (* x z) y))) |
1 |
(+ 1 (/ z y)) |
(- (+ 1 (/ (pow z 2) (pow y 2))) (* -1 (/ z y))) |
(- (+ 1 (/ (pow z 3) (pow y 3))) (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (pow y 2))))) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(+ 1 (* -1 (/ z y))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ (* x z) y))) |
(* -1 y) |
(* y (- (/ z y) 1)) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -1 (/ (* x z) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ z y)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (* -1 (pow z 2))) y)) z) y))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (+ x (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(+ 1 (* z (+ (/ 1 y) (/ z (pow y 2))))) |
(+ 1 (* z (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y)))) |
(+ y (* -1 z)) |
(- z y) |
(+ (* -1 (* x (* y z))) (* x (pow y 2))) |
(+ (* -1 (* y z)) (pow y 2)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(/ (+ (* -1 y) (* -1 (/ (pow y 2) z))) z) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow z 2)))) (/ (pow y 2) z)) z) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow z 3)))) (+ (/ (pow y 2) z) (/ (pow y 3) (pow z 2)))) z) |
(* z (- (/ y z) 1)) |
(* z (- (/ 1 z) (/ 1 y))) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(* z (+ 1 (* -1 (/ y z)))) |
(* z (+ (* -1 (* x y)) (/ (* x (pow y 2)) z))) |
(* z (+ (* -1 y) (/ (pow y 2) z))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (/ (+ y (/ (pow y 2) z)) z)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z))) z)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (* -1 (pow y 3))) z)) (pow y 2)) z))) z)) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (- (/ 1 y) (/ 1 z)))) |
(* -1 (* z (+ (* -1 x) (/ (* x y) z)))) |
(* -1 (* z (- (/ y z) 1))) |
(* -1 (* z (+ (* -1 (/ (* x (pow y 2)) z)) (* x y)))) |
(* -1 (* z (+ y (* -1 (/ (pow y 2) z))))) |
| Outputs |
|---|
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (/ (* x (- z y)) y)) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* x (- z y)) |
(*.f64 (-.f64 z y) x) |
(* x (* y (- y z))) |
(*.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(* y (- (* -1 (/ y (pow z 2))) (/ 1 z))) |
(*.f64 (/.f64 y z) (-.f64 #s(literal -1 binary64) (/.f64 y z))) |
(* y (- (* y (- (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 y) (*.f64 z z)) (-.f64 (/.f64 y z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) y) |
(* y (- (* y (- (* y (- (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 y (pow.f64 z #s(literal 4 binary64)))) y (/.f64 #s(literal -1 binary64) (*.f64 z z))) y (/.f64 #s(literal -1 binary64) z)) y) |
(* -1 z) |
(neg.f64 z) |
(- y z) |
(-.f64 y z) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(/ (+ y (* -1 z)) y) |
(/.f64 (-.f64 y z) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(* x z) |
(*.f64 z x) |
(+ (* -1 (* x y)) (* x z)) |
(*.f64 (-.f64 z y) x) |
z |
(+ z (* -1 y)) |
(-.f64 z y) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 z) (*.f64 y x)) |
(* y (+ (* -1 (* x z)) (* x y))) |
(*.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* y (+ y (* -1 z))) |
(*.f64 (-.f64 y z) y) |
(pow y 2) |
(*.f64 y y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ z y)) |
(-.f64 (/.f64 z y) #s(literal -1 binary64)) |
(- (+ 1 (/ (pow z 2) (pow y 2))) (* -1 (/ z y))) |
(fma.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (/.f64 z y) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow z 3) (pow y 3))) (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (pow y 2))))) |
(fma.f64 (/.f64 z y) (fma.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(+ 1 (* -1 (/ z y))) |
(/.f64 (-.f64 y z) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* y (+ (* -1 x) (/ (* x z) y))) |
(*.f64 (-.f64 z y) x) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ z y) 1)) |
(-.f64 z y) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (* -1 (/ (* x z) y)))) |
(*.f64 (*.f64 (-.f64 y z) x) y) |
(* (pow y 2) (+ 1 (* -1 (/ z y)))) |
(*.f64 (-.f64 y z) y) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) y))) |
(fma.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (/.f64 z y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (* -1 (pow z 2))) y)) z) y))) |
(fma.f64 (/.f64 z y) (fma.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(* -1 (* y (+ x (* -1 (/ (* x z) y))))) |
(*.f64 (-.f64 z y) x) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(-.f64 z y) |
(+ 1 (* z (+ (/ 1 y) (/ z (pow y 2))))) |
(fma.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (/.f64 z y) #s(literal 1 binary64)) |
(+ 1 (* z (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y)))) |
(fma.f64 (/.f64 z y) (fma.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ y (* -1 z)) |
(-.f64 y z) |
(- z y) |
(-.f64 z y) |
(+ (* -1 (* x (* y z))) (* x (pow y 2))) |
(*.f64 (*.f64 (-.f64 y z) x) y) |
(+ (* -1 (* y z)) (pow y 2)) |
(*.f64 (-.f64 y z) y) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (+ (* -1 y) (* -1 (/ (pow y 2) z))) z) |
(*.f64 (/.f64 y z) (-.f64 #s(literal -1 binary64) (/.f64 y z))) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow z 2)))) (/ (pow y 2) z)) z) |
(/.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 y z) y y) y) (neg.f64 z)) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow z 3)))) (+ (/ (pow y 2) z) (/ (pow y 3) (pow z 2)))) z) |
(/.f64 (+.f64 (/.f64 (fma.f64 y y (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (pow.f64 y #s(literal 3 binary64))) z)) z) y) (neg.f64 z)) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ 1 z) (/ 1 y))) |
(/.f64 (-.f64 y z) y) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 z y) x) |
(* z (+ 1 (* -1 (/ y z)))) |
(-.f64 z y) |
(* z (+ (* -1 (* x y)) (/ (* x (pow y 2)) z))) |
(*.f64 (*.f64 (-.f64 y z) x) y) |
(* z (+ (* -1 y) (/ (pow y 2) z))) |
(*.f64 (-.f64 y z) y) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (/ (+ y (/ (pow y 2) z)) z)) |
(*.f64 (/.f64 y z) (-.f64 #s(literal -1 binary64) (/.f64 y z))) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z))) z)) |
(/.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 y z) y y) y) (neg.f64 z)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (* -1 (pow y 3))) z)) (pow y 2)) z))) z)) |
(/.f64 (+.f64 (/.f64 (fma.f64 y y (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (pow.f64 y #s(literal 3 binary64))) z)) z) y) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* -1 (* z (- (/ 1 y) (/ 1 z)))) |
(/.f64 (-.f64 y z) y) |
(* -1 (* z (+ (* -1 x) (/ (* x y) z)))) |
(*.f64 (-.f64 z y) x) |
(* -1 (* z (- (/ y z) 1))) |
(-.f64 z y) |
(* -1 (* z (+ (* -1 (/ (* x (pow y 2)) z)) (* x y)))) |
(*.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (* z (+ y (* -1 (/ (pow y 2) z))))) |
(*.f64 (-.f64 y z) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 103 |
| 0 | 40 | 97 |
| 1 | 126 | 97 |
| 2 | 786 | 97 |
| 0 | 8578 | 97 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 y (-.f64 y z))) |
(/.f64 y (-.f64 y z)) |
(-.f64 y z) |
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
#s(approx (/ (- y z) y) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) |
(/.f64 #s(approx (- y z) (neg.f64 z)) y) |
#s(approx (- y z) (neg.f64 z)) |
(neg.f64 z) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 z y) x)) |
(/.f64 #s(literal -1 binary64) y) |
(*.f64 (-.f64 z y) x) |
(-.f64 z y) |
(/.f64 (*.f64 (*.f64 y (-.f64 y z)) x) (*.f64 y y)) |
(*.f64 (*.f64 y (-.f64 y z)) x) |
(*.f64 y (-.f64 y z)) |
(*.f64 y y) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (-.f64 y z) y (*.f64 z z))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x y)) (fma.f64 (neg.f64 z) z (*.f64 y y))) (-.f64 y z)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x y)) (fma.f64 (neg.f64 y) y (*.f64 z z))) (-.f64 z y)) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 x y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z y) z) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 z y) z))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 x y)) (+.f64 (pow.f64 (*.f64 (+.f64 z y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z y) z) (-.f64 (*.f64 (+.f64 z y) z) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (*.f64 (-.f64 y z) y)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (-.f64 z y)) |
(*.f64 (/.f64 (*.f64 (-.f64 z y) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 z y) y)) |
(*.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 y z)) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) (-.f64 y z)) |
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 y x)) (-.f64 y z)) |
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 y z)) (*.f64 y x)) |
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) y) (*.f64 (-.f64 y z) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 z y) x) y)) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) (fma.f64 (neg.f64 y) y (*.f64 z z))) (pow.f64 (+.f64 z y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 y (-.f64 y z)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y (-.f64 y z)) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x (/.f64 y (fma.f64 (neg.f64 z) z (*.f64 y y)))) (pow.f64 (+.f64 z y) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (/.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (pow.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z y))) |
(*.f64 (/.f64 x (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(*.f64 (/.f64 (*.f64 (-.f64 z y) y) #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
(*.f64 (/.f64 (*.f64 (-.f64 y z) y) (neg.f64 y)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 y z) y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (*.f64 y y))) |
(*.f64 (/.f64 (*.f64 (-.f64 z y) y) y) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (neg.f64 y) y) (/.f64 (*.f64 (-.f64 z y) x) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 z y) x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 z y) y)) |
(*.f64 (/.f64 y (neg.f64 y)) (/.f64 (*.f64 (-.f64 z y) x) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) y)) (*.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (-.f64 z y) y)) |
(*.f64 (/.f64 (*.f64 (/.f64 (-.f64 y z) y) x) y) y) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 (-.f64 y z) y) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 (-.f64 z y) y) y)) |
(*.f64 (/.f64 (neg.f64 x) y) (-.f64 z y)) |
(*.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) y))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) y))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x y)) (pow.f64 (+.f64 z y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 x y)) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 y x) (*.f64 (-.f64 y z) (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (*.f64 y x) (/.f64 (-.f64 y z) (*.f64 y y))) |
(*.f64 (/.f64 (-.f64 z y) y) (/.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 z y) y) (neg.f64 x)) |
(*.f64 (/.f64 (*.f64 (-.f64 z y) x) y) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 (-.f64 z y) x) y)) |
(*.f64 (*.f64 (/.f64 (-.f64 y z) y) x) #s(literal 1 binary64)) |
(*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))) |
(*.f64 (*.f64 (-.f64 z y) y) (*.f64 x (neg.f64 (pow.f64 y #s(literal -2 binary64))))) |
(*.f64 (*.f64 (-.f64 z y) y) (/.f64 x (*.f64 (neg.f64 y) y))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x) (*.f64 (-.f64 y z) y)) |
(*.f64 (*.f64 (-.f64 y z) x) (*.f64 y (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (*.f64 (-.f64 y z) x) (/.f64 y (*.f64 y y))) |
(*.f64 (*.f64 (-.f64 y z) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (*.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (/.f64 x y))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) (*.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 (-.f64 y z) y) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (*.f64 (-.f64 y z) y) x)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 z y) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 y z) x)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) (/.f64 x y))) |
(*.f64 (/.f64 x y) (-.f64 y z)) |
(*.f64 (*.f64 (*.f64 (-.f64 z y) x) y) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (neg.f64 x) (*.f64 (*.f64 (-.f64 y z) y) (neg.f64 (pow.f64 y #s(literal -2 binary64))))) |
(*.f64 (neg.f64 x) (/.f64 (-.f64 z y) y)) |
(*.f64 (neg.f64 y) (/.f64 (*.f64 (-.f64 y z) x) (*.f64 (neg.f64 y) y))) |
(*.f64 (neg.f64 y) (/.f64 (*.f64 (-.f64 z y) x) (*.f64 y y))) |
(*.f64 (neg.f64 y) (*.f64 (*.f64 (-.f64 y z) x) (neg.f64 (pow.f64 y #s(literal -2 binary64))))) |
(*.f64 (*.f64 (*.f64 (-.f64 y z) y) x) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (*.f64 (-.f64 y z) y) (*.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
(*.f64 (*.f64 (-.f64 z y) x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (-.f64 z y) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 z y) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 z y) x) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 y z) y) x)) |
(*.f64 (/.f64 (-.f64 y z) y) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 (-.f64 y z) (/.f64 x y)) |
(*.f64 y (*.f64 (*.f64 (/.f64 (-.f64 y z) y) x) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 y (*.f64 (*.f64 (-.f64 z y) x) (neg.f64 (pow.f64 y #s(literal -2 binary64))))) |
(*.f64 y (/.f64 (*.f64 (/.f64 (-.f64 y z) y) x) y)) |
(*.f64 x (*.f64 (*.f64 (-.f64 z y) y) (neg.f64 (pow.f64 y #s(literal -2 binary64))))) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(pow.f64 (/.f64 (/.f64 y (-.f64 y z)) x) #s(literal -1 binary64)) |
(/.f64 (/.f64 (/.f64 x y) (pow.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) #s(literal -1 binary64))) (+.f64 z y)) |
(/.f64 (/.f64 (/.f64 x y) (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64))) (fma.f64 (+.f64 z y) z (*.f64 y y))) |
(/.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (pow.f64 (-.f64 y z) #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 (-.f64 z y) x) y) #s(literal -1 binary64)) (*.f64 y y)) |
(/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) y) (*.f64 (pow.f64 y #s(literal -2 binary64)) x)) (+.f64 z y)) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (*.f64 (pow.f64 y #s(literal -2 binary64)) x)) (fma.f64 (+.f64 z y) z (*.f64 y y))) |
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(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) y) (fma.f64 (neg.f64 y) y (*.f64 z z))) (-.f64 z y)) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z y) z) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 z y) z))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (+.f64 (pow.f64 (*.f64 (+.f64 z y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z y) z) (-.f64 (*.f64 (+.f64 z y) z) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) y) (pow.f64 (+.f64 z y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 y (+.f64 z y))) |
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (*.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) y)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 y (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) y)) |
(*.f64 (-.f64 y z) y) |
(*.f64 y (-.f64 y z)) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) y) (neg.f64 (+.f64 z y))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 y) z) (*.f64 (neg.f64 y) z))) (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) z))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 y) z) (*.f64 (neg.f64 y) z)) (*.f64 (*.f64 y y) (*.f64 (neg.f64 y) z))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 y y) z) (+.f64 z y)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) y)) (neg.f64 (+.f64 z y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(/.f64 (*.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (neg.f64 (+.f64 z y))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) y) (+.f64 z y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) z) (*.f64 z z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (fma.f64 (+.f64 z y) z (*.f64 y y))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 (+.f64 z y) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z y) (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y))) |
(/.f64 y (pow.f64 (-.f64 y z) #s(literal -1 binary64))) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 (neg.f64 y) z)) |
(fma.f64 (*.f64 z y) #s(literal -1 binary64) (*.f64 y y)) |
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 (neg.f64 y) z)) |
(fma.f64 (neg.f64 y) z (*.f64 y y)) |
(fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 (neg.f64 y) z)) |
(fma.f64 #s(literal -1 binary64) (*.f64 z y) (*.f64 y y)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) z)) |
(fma.f64 (neg.f64 z) y (*.f64 y y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y y) (*.f64 (neg.f64 y) z)) |
(fma.f64 z (neg.f64 y) (*.f64 y y)) |
(fma.f64 y (neg.f64 z) (*.f64 y y)) |
(fma.f64 y y (*.f64 (neg.f64 y) z)) |
(-.f64 (*.f64 y y) (*.f64 z y)) |
(+.f64 (*.f64 (neg.f64 y) z) (*.f64 y y)) |
(+.f64 (*.f64 y y) (*.f64 (neg.f64 y) z)) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) |
(/.f64 (*.f64 y y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
Compiled 20 948 to 3 074 computations (85.3% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 100 | 2 | 1 102 |
| Fresh | 1 | 2 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 103 | 11 | 1 114 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 37.5% | (/.f64 (*.f64 (*.f64 y #s(approx (- y z) (neg.f64 z))) x) (*.f64 y y)) |
| ✓ | 86.2% | (/.f64 (*.f64 x (-.f64 y z)) y) |
| ✓ | 53.1% | (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) |
| ▶ | 55.7% | (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) |
| ✓ | 36.6% | (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
| ✓ | 95.8% | (/.f64 x (/.f64 y (-.f64 y z))) |
| ✓ | 95.9% | (*.f64 (/.f64 (-.f64 y z) y) x) |
| ✓ | 53.7% | (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) |
| ▶ | 55.5% | (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) |
| ▶ | 53.1% | (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (- z y) x) (*.f64 z x))) |
| ✓ | 44.8% | (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
Compiled 108 to 86 computations (20.4% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- y z) (neg.f64 z)) | |
| cost-diff | 0 | (*.f64 y #s(approx (- y z) (neg.f64 z))) | |
| cost-diff | 0 | (*.f64 (*.f64 y #s(approx (- y z) (neg.f64 z))) x) | |
| cost-diff | 4 | (/.f64 (*.f64 (*.f64 y #s(approx (- y z) (neg.f64 z))) x) (*.f64 y y)) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (- y z) (neg.f64 z)) | |
| cost-diff | 0 | (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (- y z) (neg.f64 z)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | #s(approx (* (- z y) x) (*.f64 z x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 1 | (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (- z y) x) (*.f64 z x))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 126 |
| 0 | 33 | 122 |
| 1 | 59 | 121 |
| 2 | 105 | 121 |
| 3 | 184 | 121 |
| 4 | 332 | 121 |
| 5 | 973 | 121 |
| 6 | 2428 | 121 |
| 7 | 6107 | 121 |
| 0 | 8420 | 121 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (- z y) x) (*.f64 z x))) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
#s(approx (* (- z y) x) (*.f64 z x)) |
(*.f64 z x) |
z |
x |
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) |
(/.f64 x y) |
x |
y |
#s(approx (- y z) (neg.f64 z)) |
(neg.f64 z) |
z |
(/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) |
#s(approx (- y z) (neg.f64 z)) |
(neg.f64 z) |
z |
(/.f64 y x) |
y |
x |
(/.f64 (*.f64 (*.f64 y #s(approx (- y z) (neg.f64 z))) x) (*.f64 y y)) |
(*.f64 (*.f64 y #s(approx (- y z) (neg.f64 z))) x) |
(*.f64 y #s(approx (- y z) (neg.f64 z))) |
y |
#s(approx (- y z) (neg.f64 z)) |
(neg.f64 z) |
z |
x |
(*.f64 y y) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (- z y) x) (*.f64 z x))) |
(/.f64 #s(approx (* (- z y) x) (*.f64 x z)) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
#s(approx (* (- z y) x) (*.f64 z x)) |
#s(approx (* (- z y) x) (*.f64 x z)) |
(*.f64 z x) |
(*.f64 x z) |
z |
x |
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) |
(*.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (- y z) (neg.f64 z)) |
(neg.f64 z) |
z |
(/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) |
(*.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 x y)) |
#s(approx (- y z) (neg.f64 z)) |
(neg.f64 z) |
z |
(/.f64 y x) |
y |
x |
(/.f64 (*.f64 (*.f64 y #s(approx (- y z) (neg.f64 z))) x) (*.f64 y y)) |
(*.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 x y)) |
(*.f64 (*.f64 y #s(approx (- y z) (neg.f64 z))) x) |
(*.f64 (*.f64 x y) #s(approx (- y z) (neg.f64 z))) |
(*.f64 y #s(approx (- y z) (neg.f64 z))) |
(*.f64 #s(approx (- y z) (neg.f64 z)) y) |
y |
#s(approx (- y z) (neg.f64 z)) |
(neg.f64 z) |
z |
x |
(*.f64 y y) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (*.f64 y #s(approx (- y z) (neg.f64 z))) | |
| accuracy | 7.405545305028906 | (*.f64 (*.f64 y #s(approx (- y z) (neg.f64 z))) x) | |
| accuracy | 25.610856022089322 | (/.f64 (*.f64 (*.f64 y #s(approx (- y z) (neg.f64 z))) x) (*.f64 y y)) | |
| accuracy | 27.27898353474236 | #s(approx (- y z) (neg.f64 z)) | |
| accuracy | 0.0 | (/.f64 y x) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 9.328787371634885 | (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) | |
| accuracy | 27.27898353474236 | #s(approx (- y z) (neg.f64 z)) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 9.015928651794574 | (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) | |
| accuracy | 27.27898353474236 | #s(approx (- y z) (neg.f64 z)) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.0 | (*.f64 z x) | |
| accuracy | 8.95821201328149 | (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (- z y) x) (*.f64 z x))) | |
| accuracy | 26.813289697224967 | #s(approx (* (- z y) x) (*.f64 z x)) |
| 55.0ms | 256× | 0 | valid |
Compiled 96 to 21 computations (78.1% saved)
ival-mult: 19.0ms (60.7% of total)ival-div: 8.0ms (25.5% of total)ival-sub: 2.0ms (6.4% 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 (/.f64 #s(literal -1 binary64) y) #s(approx (* (- z y) x) (*.f64 z x))) |
(/.f64 #s(literal -1 binary64) y) |
#s(approx (* (- z y) x) (*.f64 z x)) |
(*.f64 z x) |
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) |
(/.f64 x y) |
#s(approx (- y z) (neg.f64 z)) |
(neg.f64 z) |
(/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) |
(/.f64 y x) |
(/.f64 (*.f64 (*.f64 y #s(approx (- y z) (neg.f64 z))) x) (*.f64 y y)) |
(*.f64 (*.f64 y #s(approx (- y z) (neg.f64 z))) x) |
(*.f64 y #s(approx (- y z) (neg.f64 z))) |
| Outputs |
|---|
(* -1 (/ (* x (- z y)) y)) |
(* x (- z y)) |
(* x z) |
(/ (* x (- y z)) y) |
(/ x y) |
(/ y x) |
(* x (* y (- y z))) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ -1 y) |
(+ (* -1 (* x y)) (* x z)) |
(* -1 z) |
(- y z) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (* x y))) |
(* -1 (* y z)) |
(* y (+ y (* -1 z))) |
x |
(+ x (* -1 (/ (* x z) y))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ (* x z) y))) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -1 (/ (* x z) y)))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1 (/ z y)))) |
(* -1 (* y (+ x (* -1 (/ (* x z) y))))) |
(* -1 (* y (- (/ z y) 1))) |
(+ y (* -1 z)) |
(+ (* -1 (* x (* y z))) (* x (pow y 2))) |
(+ (* -1 (* y z)) (pow y 2)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(* z (- (/ y z) 1)) |
(* z (+ (* -1 (* x y)) (/ (* x (pow y 2)) z))) |
(* z (+ (* -1 y) (/ (pow y 2) z))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 x) (/ (* x y) z)))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ (* -1 (/ (* x (pow y 2)) z)) (* x y)))) |
(* -1 (* z (+ y (* -1 (/ (pow y 2) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | 0 | ((* (/ -1 y) (* (- z y) x)) (/ -1 y) (* (- z y) x) (* z x) (* (/ x y) (- y z)) (/ x y) (- y z) (neg z) (/ (- y z) (/ y x)) (/ y x) (/ (* (* y (- y z)) x) (* y y)) (* (* y (- y z)) x) (* y (- y z))) |
| 2.0ms | x | @ | -inf | ((* (/ -1 y) (* (- z y) x)) (/ -1 y) (* (- z y) x) (* z x) (* (/ x y) (- y z)) (/ x y) (- y z) (neg z) (/ (- y z) (/ y x)) (/ y x) (/ (* (* y (- y z)) x) (* y y)) (* (* y (- y z)) x) (* y (- y z))) |
| 2.0ms | x | @ | 0 | ((* (/ -1 y) (* (- z y) x)) (/ -1 y) (* (- z y) x) (* z x) (* (/ x y) (- y z)) (/ x y) (- y z) (neg z) (/ (- y z) (/ y x)) (/ y x) (/ (* (* y (- y z)) x) (* y y)) (* (* y (- y z)) x) (* y (- y z))) |
| 2.0ms | x | @ | inf | ((* (/ -1 y) (* (- z y) x)) (/ -1 y) (* (- z y) x) (* z x) (* (/ x y) (- y z)) (/ x y) (- y z) (neg z) (/ (- y z) (/ y x)) (/ y x) (/ (* (* y (- y z)) x) (* y y)) (* (* y (- y z)) x) (* y (- y z))) |
| 1.0ms | y | @ | inf | ((* (/ -1 y) (* (- z y) x)) (/ -1 y) (* (- z y) x) (* z x) (* (/ x y) (- y z)) (/ x y) (- y z) (neg z) (/ (- y z) (/ y x)) (/ y x) (/ (* (* y (- y z)) x) (* y y)) (* (* y (- y z)) x) (* y (- y z))) |
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 207 |
| 1 | 312 | 207 |
| 2 | 848 | 201 |
| 3 | 2360 | 201 |
| 4 | 4800 | 201 |
| 5 | 6747 | 201 |
| 6 | 7284 | 201 |
| 7 | 7434 | 201 |
| 8 | 7536 | 201 |
| 0 | 8081 | 201 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* x (- z y)) y)) |
(* x (- z y)) |
(* x z) |
(/ (* x (- y z)) y) |
(/ x y) |
(/ y x) |
(* x (* y (- y z))) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ -1 y) |
(+ (* -1 (* x y)) (* x z)) |
(* -1 z) |
(- y z) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (* x y))) |
(* -1 (* y z)) |
(* y (+ y (* -1 z))) |
x |
(+ x (* -1 (/ (* x z) y))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ (* x z) y))) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -1 (/ (* x z) y)))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1 (/ z y)))) |
(* -1 (* y (+ x (* -1 (/ (* x z) y))))) |
(* -1 (* y (- (/ z y) 1))) |
(+ y (* -1 z)) |
(+ (* -1 (* x (* y z))) (* x (pow y 2))) |
(+ (* -1 (* y z)) (pow y 2)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(* z (- (/ y z) 1)) |
(* z (+ (* -1 (* x y)) (/ (* x (pow y 2)) z))) |
(* z (+ (* -1 y) (/ (pow y 2) z))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 x) (/ (* x y) z)))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ (* -1 (/ (* x (pow y 2)) z)) (* x y)))) |
(* -1 (* z (+ y (* -1 (/ (pow y 2) z))))) |
| Outputs |
|---|
(* -1 (/ (* x (- z y)) y)) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* x (- z y)) |
(*.f64 x (-.f64 z y)) |
(* x z) |
(*.f64 x z) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ x y) |
(/.f64 x y) |
(/ y x) |
(/.f64 y x) |
(* x (* y (- y z))) |
(*.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 x) y) z) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(+ (* -1 (* x y)) (* x z)) |
(*.f64 x (-.f64 z y)) |
(* -1 z) |
(neg.f64 z) |
(- y z) |
(-.f64 y z) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 y) (*.f64 x z)) |
(* y (+ (* -1 (* x z)) (* x y))) |
(*.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* y (+ y (* -1 z))) |
(*.f64 (-.f64 y z) y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* y (+ (* -1 x) (/ (* x z) y))) |
(*.f64 x (-.f64 z y)) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (* -1 (/ (* x z) y)))) |
(*.f64 (*.f64 (-.f64 y z) x) y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (* -1 (/ z y)))) |
(*.f64 (-.f64 y z) y) |
(* -1 (* y (+ x (* -1 (/ (* x z) y))))) |
(*.f64 x (-.f64 z y)) |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ (* -1 (* x (* y z))) (* x (pow y 2))) |
(*.f64 (*.f64 (-.f64 y z) x) y) |
(+ (* -1 (* y z)) (pow y 2)) |
(*.f64 (-.f64 y z) y) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(*.f64 x (-.f64 z y)) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (+ (* -1 (* x y)) (/ (* x (pow y 2)) z))) |
(*.f64 (*.f64 (-.f64 y z) x) y) |
(* z (+ (* -1 y) (/ (pow y 2) z))) |
(*.f64 (-.f64 y z) y) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (* z (+ (* -1 x) (/ (* x y) z)))) |
(*.f64 x (-.f64 z y)) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* -1 (* z (+ (* -1 (/ (* x (pow y 2)) z)) (* x y)))) |
(*.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (* z (+ y (* -1 (/ (pow y 2) z))))) |
(*.f64 (-.f64 y z) y) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 94 |
| 0 | 33 | 90 |
| 1 | 108 | 89 |
| 2 | 608 | 89 |
| 3 | 4976 | 81 |
| 0 | 9322 | 81 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (- z y) x) (*.f64 z x))) |
(/.f64 #s(literal -1 binary64) y) |
#s(approx (* (- z y) x) (*.f64 z x)) |
(*.f64 z x) |
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) |
(/.f64 x y) |
#s(approx (- y z) (neg.f64 z)) |
(neg.f64 z) |
(/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) |
(/.f64 y x) |
(/.f64 (*.f64 (*.f64 y #s(approx (- y z) (neg.f64 z))) x) (*.f64 y y)) |
(*.f64 (*.f64 y #s(approx (- y z) (neg.f64 z))) x) |
(*.f64 y #s(approx (- y z) (neg.f64 z))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (* (- z y) x) (*.f64 x z)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 #s(approx (* (- z y) x) (*.f64 x z))) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(approx (* (- z y) x) (*.f64 x z)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(approx (* (- z y) x) (*.f64 x z)) y) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(approx (* (- z y) x) (*.f64 x z)) y) #s(literal -1 binary64)) |
(*.f64 (neg.f64 #s(approx (* (- z y) x) (*.f64 x z))) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 #s(approx (* (- z y) x) (*.f64 x z))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(approx (* (- z y) x) (*.f64 x z)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 #s(approx (* (- z y) x) (*.f64 x z)))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (* (- z y) x) (*.f64 x z))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (- z y) x) (*.f64 x z)) y)) |
(*.f64 #s(approx (* (- z y) x) (*.f64 x z)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (* (- z y) x) (*.f64 x z)) y)) |
(pow.f64 (/.f64 (/.f64 y #s(approx (* (- z y) x) (*.f64 x z))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y #s(approx (* (- z y) x) (*.f64 x z))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 #s(approx (* (- z y) x) (*.f64 x z))) #s(literal 1 binary64)) y) |
(/.f64 (/.f64 #s(approx (* (- z y) x) (*.f64 x z)) #s(literal -1 binary64)) y) |
(/.f64 (/.f64 #s(approx (* (- z y) x) (*.f64 x z)) y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 #s(approx (* (- z y) x) (*.f64 x z))) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(approx (* (- z y) x) (*.f64 x z))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (* (- z y) x) (*.f64 x z)))) |
(/.f64 #s(approx (* (- z y) x) (*.f64 x z)) y) |
(/.f64 #s(literal -1 binary64) (/.f64 y #s(approx (* (- z y) x) (*.f64 x z)))) |
(neg.f64 (/.f64 #s(approx (* (- z y) x) (*.f64 x z)) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(approx (* (- z y) x) (*.f64 x z)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) y) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 y (pow.f64 y #s(literal -2 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(pow.f64 y #s(literal -1 binary64)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 y (*.f64 y y)) |
(/.f64 #s(literal -1 binary64) y) |
(neg.f64 (pow.f64 y #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1 binary64))) |
(exp.f64 (-.f64 (log.f64 y) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (neg.f64 (log.f64 y))) |
(exp.f64 (+.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (log.f64 y))) |
(exp.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64) (log.f64 y))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal -2 binary64) (log.f64 y))) |
(exp.f64 (+.f64 (log.f64 y) (neg.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))) |
(exp.f64 (+.f64 (log.f64 y) (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 y) #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))) |
(*.f64 (neg.f64 #s(approx (* (- z y) x) (*.f64 x z))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (* (- z y) x) (*.f64 x z))) |
(*.f64 #s(approx (* (- z y) x) (*.f64 x z)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* (- z y) x) (*.f64 x z)))) |
#s(approx (* (- z y) x) (*.f64 x z)) |
(neg.f64 (neg.f64 #s(approx (* (- z y) x) (*.f64 x z)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* (- z y) x) (*.f64 x z)))) |
(*.f64 x z) |
(*.f64 z x) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (- y z) z) y)) #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
(*.f64 (pow.f64 (/.f64 y (*.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(approx (- y z) z) y)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(approx (- y z) z) y) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
(*.f64 (/.f64 (/.f64 #s(approx (- y z) z) y) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 #s(approx (- y z) z) y) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 x y)) #s(approx (- y z) z)) |
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(approx (- y z) z)) (*.f64 x y)) |
(*.f64 (*.f64 (/.f64 x y) y) (/.f64 #s(approx (- y z) z) y)) |
(*.f64 (*.f64 (/.f64 #s(approx (- y z) z) y) #s(literal -1 binary64)) x) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(approx (- y z) z) y) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(approx (- y z) z) y) x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(approx (- y z) z) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(approx (- y z) z) y)) |
(*.f64 (/.f64 (*.f64 #s(approx (- y z) z) y) (/.f64 #s(literal -1 binary64) x)) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (/.f64 (*.f64 #s(approx (- y z) z) y) (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (/.f64 (*.f64 #s(approx (- y z) z) y) #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 #s(approx (- y z) z) y) y)) |
(*.f64 (/.f64 y (pow.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(approx (- y z) z) y) y)) |
(*.f64 (/.f64 (*.f64 #s(approx (- y z) z) y) #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
(*.f64 (/.f64 #s(approx (- y z) z) (/.f64 #s(literal -1 binary64) x)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 x y) #s(literal -1 binary64)) (/.f64 #s(approx (- y z) z) (*.f64 y y))) |
(*.f64 (/.f64 (*.f64 #s(approx (- y z) z) x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 x y) y) (/.f64 #s(approx (- y z) z) y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(approx (- y z) z) y)) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(approx (- y z) z) y) x) y) y) |
(*.f64 (*.f64 x y) (*.f64 #s(approx (- y z) z) (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (*.f64 x y) (/.f64 #s(approx (- y z) z) (*.f64 y y))) |
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x) y) #s(approx (- y z) z)) |
(*.f64 (*.f64 (/.f64 #s(approx (- y z) z) y) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x) (pow.f64 (pow.f64 (*.f64 #s(approx (- y z) z) y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x) (*.f64 #s(approx (- y z) z) y)) |
(*.f64 (/.f64 #s(approx (- y z) z) y) (pow.f64 (/.f64 y (*.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(approx (- y z) z) y) (/.f64 (*.f64 x y) y)) |
(*.f64 (/.f64 #s(approx (- y z) z) y) (neg.f64 x)) |
(*.f64 (/.f64 #s(approx (- y z) z) y) x) |
(*.f64 (*.f64 #s(approx (- y z) z) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(approx (- y z) z) y) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (*.f64 #s(approx (- y z) z) y) x)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(approx (- y z) z) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(approx (- y z) z) x)) |
(*.f64 (neg.f64 x) (/.f64 #s(approx (- y z) z) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (- y z) z) y) x)) |
(*.f64 (*.f64 (*.f64 #s(approx (- y z) z) y) x) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (*.f64 #s(approx (- y z) z) y) (*.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
(*.f64 #s(approx (- y z) z) (*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x) y)) |
(*.f64 #s(approx (- y z) z) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(approx (- y z) z)) |
(*.f64 x (/.f64 #s(approx (- y z) z) y)) |
(*.f64 y (*.f64 (*.f64 (/.f64 #s(approx (- y z) z) y) x) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 y (/.f64 (/.f64 #s(approx (- y z) z) y) (/.f64 y x))) |
(*.f64 y (/.f64 (*.f64 (/.f64 #s(approx (- y z) z) y) x) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (- y z) z) y) x)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 y #s(approx (- y z) z)) x))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 y #s(approx (- y z) z)) x) (/.f64 (/.f64 y #s(approx (- y z) z)) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(approx (- y z) z) y) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(approx (- y z) z) y) x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (/.f64 y #s(approx (- y z) z)) x) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(approx (- y z) z) y) x) #s(literal -1 binary64)) (*.f64 y y)) |
(/.f64 (/.f64 (/.f64 #s(approx (- y z) z) y) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 #s(approx (- y z) z) x) #s(literal -1 binary64)) y) |
(/.f64 (/.f64 #s(approx (- y z) z) (/.f64 #s(literal -1 binary64) x)) y) |
(/.f64 (/.f64 (*.f64 #s(approx (- y z) z) x) #s(literal -1 binary64)) y) |
(/.f64 (*.f64 (*.f64 #s(approx (- y z) z) y) #s(literal -1 binary64)) (*.f64 (/.f64 y x) y)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 y #s(approx (- y z) z))) |
(/.f64 (*.f64 (/.f64 #s(approx (- y z) z) y) x) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(approx (- y z) z) y) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 #s(approx (- y z) z) y) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(approx (- y z) z) x) y) |
(/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (*.f64 (*.f64 #s(approx (- y z) z) y) x) #s(literal -1 binary64))) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (*.f64 #s(approx (- y z) z) x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 x) (/.f64 y #s(approx (- y z) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(approx (- y z) z)) x)) |
(/.f64 (*.f64 (*.f64 #s(approx (- y z) z) y) x) (*.f64 y y)) |
(/.f64 (*.f64 #s(approx (- y z) z) y) (*.f64 (/.f64 y x) y)) |
(/.f64 #s(approx (- y z) z) (/.f64 y x)) |
(/.f64 (/.f64 x y) (pow.f64 #s(approx (- y z) z) #s(literal -1 binary64))) |
(/.f64 x (/.f64 y #s(approx (- y z) z))) |
(/.f64 y (*.f64 y (/.f64 (/.f64 y #s(approx (- y z) z)) x))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y #s(approx (- y z) z)) x)) |
(neg.f64 (*.f64 (/.f64 #s(approx (- y z) z) y) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(approx (- y z) z) y) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(approx (- y z) z) y) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(approx (- y z) z) y) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y #s(approx (- y z) z)) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
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(exp.f64 (log.f64 (/.f64 y x))) |
(+.f64 #s(literal 0 binary64) (/.f64 y x)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (- y z) z) y)) #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
(*.f64 (pow.f64 (/.f64 y (*.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(approx (- y z) z) y)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(approx (- y z) z) y) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
(*.f64 (/.f64 (/.f64 #s(approx (- y z) z) y) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 #s(approx (- y z) z) y) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 x y)) #s(approx (- y z) z)) |
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(approx (- y z) z)) (*.f64 x y)) |
(*.f64 (*.f64 (/.f64 x y) y) (/.f64 #s(approx (- y z) z) y)) |
(*.f64 (*.f64 (/.f64 #s(approx (- y z) z) y) #s(literal -1 binary64)) x) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(approx (- y z) z) y) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(approx (- y z) z) y) x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(approx (- y z) z) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(approx (- y z) z) y)) |
(*.f64 (/.f64 (*.f64 #s(approx (- y z) z) y) (/.f64 #s(literal -1 binary64) x)) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (/.f64 (*.f64 #s(approx (- y z) z) y) (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (/.f64 (*.f64 #s(approx (- y z) z) y) #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 #s(approx (- y z) z) y) y)) |
(*.f64 (/.f64 y (pow.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(approx (- y z) z) y) y)) |
(*.f64 (/.f64 (*.f64 #s(approx (- y z) z) y) #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
(*.f64 (/.f64 #s(approx (- y z) z) (/.f64 #s(literal -1 binary64) x)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 x y) #s(literal -1 binary64)) (/.f64 #s(approx (- y z) z) (*.f64 y y))) |
(*.f64 (/.f64 (*.f64 #s(approx (- y z) z) x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 x y) y) (/.f64 #s(approx (- y z) z) y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(approx (- y z) z) y)) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(approx (- y z) z) y) x) y) y) |
(*.f64 (*.f64 x y) (*.f64 #s(approx (- y z) z) (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (*.f64 x y) (/.f64 #s(approx (- y z) z) (*.f64 y y))) |
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x) y) #s(approx (- y z) z)) |
(*.f64 (*.f64 (/.f64 #s(approx (- y z) z) y) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x) (pow.f64 (pow.f64 (*.f64 #s(approx (- y z) z) y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x) (*.f64 #s(approx (- y z) z) y)) |
(*.f64 (/.f64 #s(approx (- y z) z) y) (pow.f64 (/.f64 y (*.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(approx (- y z) z) y) (/.f64 (*.f64 x y) y)) |
(*.f64 (/.f64 #s(approx (- y z) z) y) (neg.f64 x)) |
(*.f64 (/.f64 #s(approx (- y z) z) y) x) |
(*.f64 (*.f64 #s(approx (- y z) z) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(approx (- y z) z) y) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (*.f64 #s(approx (- y z) z) y) x)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(approx (- y z) z) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(approx (- y z) z) x)) |
(*.f64 (neg.f64 x) (/.f64 #s(approx (- y z) z) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (- y z) z) y) x)) |
(*.f64 (*.f64 (*.f64 #s(approx (- y z) z) y) x) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (*.f64 #s(approx (- y z) z) y) (*.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
(*.f64 #s(approx (- y z) z) (*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x) y)) |
(*.f64 #s(approx (- y z) z) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(approx (- y z) z)) |
(*.f64 x (/.f64 #s(approx (- y z) z) y)) |
(*.f64 y (*.f64 (*.f64 (/.f64 #s(approx (- y z) z) y) x) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 y (/.f64 (/.f64 #s(approx (- y z) z) y) (/.f64 y x))) |
(*.f64 y (/.f64 (*.f64 (/.f64 #s(approx (- y z) z) y) x) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (- y z) z) y) x)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 y #s(approx (- y z) z)) x))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 y #s(approx (- y z) z)) x) (/.f64 (/.f64 y #s(approx (- y z) z)) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(approx (- y z) z) y) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(approx (- y z) z) y) x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (/.f64 y #s(approx (- y z) z)) x) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(approx (- y z) z) y) x) #s(literal -1 binary64)) (*.f64 y y)) |
(/.f64 (/.f64 (/.f64 #s(approx (- y z) z) y) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 #s(approx (- y z) z) x) #s(literal -1 binary64)) y) |
(/.f64 (/.f64 #s(approx (- y z) z) (/.f64 #s(literal -1 binary64) x)) y) |
(/.f64 (/.f64 (*.f64 #s(approx (- y z) z) x) #s(literal -1 binary64)) y) |
(/.f64 (*.f64 (*.f64 #s(approx (- y z) z) y) #s(literal -1 binary64)) (*.f64 (/.f64 y x) y)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 y #s(approx (- y z) z))) |
(/.f64 (*.f64 (/.f64 #s(approx (- y z) z) y) x) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(approx (- y z) z) y) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 #s(approx (- y z) z) y) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(approx (- y z) z) x) y) |
(/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (*.f64 (*.f64 #s(approx (- y z) z) y) x) #s(literal -1 binary64))) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (*.f64 #s(approx (- y z) z) x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 x) (/.f64 y #s(approx (- y z) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(approx (- y z) z)) x)) |
(/.f64 (*.f64 (*.f64 #s(approx (- y z) z) y) x) (*.f64 y y)) |
(/.f64 (*.f64 #s(approx (- y z) z) y) (*.f64 (/.f64 y x) y)) |
(/.f64 #s(approx (- y z) z) (/.f64 y x)) |
(/.f64 (/.f64 x y) (pow.f64 #s(approx (- y z) z) #s(literal -1 binary64))) |
(/.f64 x (/.f64 y #s(approx (- y z) z))) |
(/.f64 y (*.f64 y (/.f64 (/.f64 y #s(approx (- y z) z)) x))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y #s(approx (- y z) z)) x)) |
(neg.f64 (*.f64 (/.f64 #s(approx (- y z) z) y) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(approx (- y z) z) y) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(approx (- y z) z) y) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(approx (- y z) z) y) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y #s(approx (- y z) z)) x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- y z) z) y) #s(literal -1 binary64)) x) |
(*.f64 (*.f64 x y) #s(approx (- y z) z)) |
(*.f64 (*.f64 #s(approx (- y z) z) x) y) |
(*.f64 (neg.f64 x) (*.f64 #s(approx (- y z) z) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (- y z) z) y) x)) |
(*.f64 (*.f64 (*.f64 #s(approx (- y z) z) y) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 #s(approx (- y z) z) y) x) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(approx (- y z) z) y) (neg.f64 x)) |
(*.f64 (*.f64 #s(approx (- y z) z) y) x) |
(*.f64 #s(approx (- y z) z) (*.f64 y (neg.f64 x))) |
(*.f64 #s(approx (- y z) z) (*.f64 (*.f64 x y) #s(literal 1 binary64))) |
(*.f64 #s(approx (- y z) z) (*.f64 x y)) |
(*.f64 x (*.f64 #s(approx (- y z) z) y)) |
(*.f64 y (*.f64 #s(approx (- y z) z) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(approx (- y z) z) y) x)) |
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(approx (- y z) z) y) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(approx (- y z) z) y) x) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 #s(approx (- y z) z) y) x) #s(literal 2 binary64))) (*.f64 (*.f64 #s(approx (- y z) z) y) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 #s(approx (- y z) z) y) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 #s(approx (- y z) z) y) x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(approx (- y z) z) y) x))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(approx (- y z) z) y) x) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (*.f64 #s(approx (- y z) z) y) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(approx (- y z) z) y) x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 #s(approx (- y z) z) y) x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(approx (- y z) z) y) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- y z) z) y)) |
(*.f64 (*.f64 #s(approx (- y z) z) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (- y z) z) y) |
(*.f64 y #s(approx (- y z) z)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(approx (- y z) z) y)) |
(pow.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 #s(approx (- y z) z) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 #s(approx (- y z) z) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) |
(neg.f64 (*.f64 #s(approx (- y z) z) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(approx (- y z) z) y)) |
Compiled 6 692 to 1 041 computations (84.4% saved)
11 alts after pruning (0 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 463 | 0 | 463 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 7 | 7 |
| Total | 463 | 11 | 474 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 37.5% | (/.f64 (*.f64 (*.f64 y #s(approx (- y z) (neg.f64 z))) x) (*.f64 y y)) |
| ✓ | 86.2% | (/.f64 (*.f64 x (-.f64 y z)) y) |
| ✓ | 53.1% | (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) |
| ✓ | 55.7% | (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) |
| ✓ | 36.6% | (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
| ✓ | 95.8% | (/.f64 x (/.f64 y (-.f64 y z))) |
| ✓ | 95.9% | (*.f64 (/.f64 (-.f64 y z) y) x) |
| ✓ | 53.7% | (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) |
| ✓ | 55.5% | (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) |
| ✓ | 53.1% | (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (- z y) x) (*.f64 z x))) |
| ✓ | 44.8% | (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
Compiled 290 to 147 computations (49.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 x) y) z)) |
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) |
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) |
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/.f64 (*.f64 x (-.f64 y z)) y) |
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (- z y) x) (*.f64 z x))) |
(*.f64 (fma.f64 z (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 z y) x)) |
(/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) |
(/.f64 x (/.f64 y (-.f64 y z))) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) |
(/.f64 (*.f64 (*.f64 y #s(approx (- y z) (neg.f64 z))) x) (*.f64 y y)) |
(/.f64 (*.f64 (*.f64 y (-.f64 y z)) x) (*.f64 y y)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) (*.f64 (+.f64 z y) y)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 y z) y) x) |
4 calls:
| 7.0ms | x |
| 6.0ms | y |
| 5.0ms | z |
| 5.0ms | (/.f64 (*.f64 x (-.f64 y z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.9% | 1 | x |
| 95.9% | 1 | y |
| 95.9% | 1 | z |
| 95.9% | 1 | (/.f64 (*.f64 x (-.f64 y z)) y) |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 x) y) z)) |
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) |
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) |
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) |
| Outputs |
|---|
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 x) y) z)) |
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
4 calls:
| 3.0ms | y |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | (/.f64 (*.f64 x (-.f64 y z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.6% | 3 | (/.f64 (*.f64 x (-.f64 y z)) y) |
| 60.0% | 3 | x |
| 79.0% | 3 | z |
| 80.6% | 3 | y |
Compiled 10 to 15 computations (-50% saved)
Total -5.7b remaining (-16.2%)
Threshold costs -5.7b (-16.2%)
| Inputs |
|---|
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
| Outputs |
|---|
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
4 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | (/.f64 (*.f64 x (-.f64 y z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.8% | 1 | x |
| 44.8% | 1 | (/.f64 (*.f64 x (-.f64 y z)) y) |
| 44.8% | 1 | z |
| 44.8% | 1 | y |
Compiled 10 to 15 computations (-50% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 2.9629902695179506e+77 | 1.746241755213103e+78 |
| 41.0ms | -6.935506458039448e-22 | -8.471724210109085e-27 |
| 10.0ms | 240× | 0 | valid |
Compiled 355 to 312 computations (12.1% saved)
ival-div: 2.0ms (41.2% of total)ival-mult: 2.0ms (41.2% of total)ival-sub: 1.0ms (20.6% 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 | 23 | 48 |
| 1 | 43 | 48 |
| 2 | 71 | 48 |
| 3 | 113 | 48 |
| 4 | 181 | 48 |
| 5 | 373 | 48 |
| 6 | 774 | 48 |
| 7 | 5701 | 48 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 y z) y) x) |
(if (<=.f64 y #s(literal -3092486150577489/21778071482940061661655974875633165533184 binary64)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 299999999999999981979279463591835365907546195412746872484301410391090779914240 binary64)) #s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 x) y) z)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x))) |
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 y z) y) x) |
(if (<=.f64 y #s(literal -3092486150577489/21778071482940061661655974875633165533184 binary64)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 299999999999999981979279463591835365907546195412746872484301410391090779914240 binary64)) #s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 x) y) z)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x))) |
(if (or (<=.f64 y #s(literal -3092486150577489/21778071482940061661655974875633165533184 binary64)) (not (<=.f64 y #s(literal 299999999999999981979279463591835365907546195412746872484301410391090779914240 binary64)))) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 x) y) z))) |
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 100 |
| 1 | 174 | 100 |
| 2 | 503 | 100 |
| 3 | 1320 | 100 |
| 4 | 2861 | 100 |
| 5 | 4809 | 100 |
| 6 | 6206 | 100 |
| 7 | 6622 | 100 |
| 8 | 6737 | 100 |
| 9 | 6805 | 100 |
| 10 | 7674 | 100 |
| 11 | 7966 | 100 |
| 0 | 8054 | 100 |
| 0 | 89 | 226 |
| 1 | 281 | 218 |
| 2 | 806 | 218 |
| 3 | 2574 | 218 |
| 4 | 5337 | 218 |
| 0 | 8226 | 218 |
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 35 | 15 |
| 2 | 223 | 15 |
| 3 | 2306 | 15 |
| 0 | 9100 | 15 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 102 to 64 computations (37.3% saved)
(negabs x)
Compiled 182 to 106 computations (41.8% saved)
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