
Time bar (total: 6.0s)
| 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 |
| 100% | 49.9% | 0% | 0.1% | 0% | 49.9% | 0% | 3 |
Compiled 11 to 10 computations (9.1% saved)
| 629.0ms | 8 256× | 0 | valid |
ival-log: 119.0ms (28.9% of total)ival-exp: 106.0ms (25.8% of total)ival-mult: 99.0ms (24.1% of total)ival-add: 39.0ms (9.5% of total)ival-sub: 38.0ms (9.2% of total)ival-true: 6.0ms (1.5% of total)ival-assert: 4.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| 0 | 0 | - | 0 | - | (*.f64 y (log.f64 y)) |
| 0 | 0 | - | 0 | - | (log.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x (*.f64 y (log.f64 y))) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 36.0ms | 512× | 0 | valid |
Compiled 77 to 28 computations (63.6% saved)
ival-log: 7.0ms (35.1% of total)ival-exp: 4.0ms (20.1% of total)ival-mult: 4.0ms (20.1% of total)ival-sub: 2.0ms (10% of total)ival-add: 2.0ms (10% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 92 |
| 1 | 96 | 86 |
| 2 | 251 | 81 |
| 3 | 736 | 77 |
| 4 | 1622 | 77 |
| 5 | 2750 | 77 |
| 6 | 3959 | 77 |
| 7 | 4771 | 77 |
| 8 | 5300 | 77 |
| 9 | 5637 | 77 |
| 10 | 5759 | 77 |
| 11 | 5800 | 77 |
| 12 | 5848 | 77 |
| 13 | 6001 | 77 |
| 14 | 6760 | 77 |
| 15 | 6784 | 77 |
| 16 | 6784 | 77 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 22 | 9 |
| 2 | 41 | 8 |
| 3 | 82 | 8 |
| 4 | 130 | 8 |
| 5 | 204 | 8 |
| 6 | 383 | 8 |
| 7 | 689 | 8 |
| 8 | 916 | 8 |
| 9 | 1056 | 8 |
| 10 | 1144 | 8 |
| 11 | 1203 | 8 |
| 12 | 1353 | 8 |
| 13 | 1356 | 8 |
| 14 | 1357 | 8 |
| 0 | 1357 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| Outputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y (log.f64 y)) | |
| cost-diff | 0 | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) | |
| cost-diff | 0 | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) | |
| cost-diff | 1 | (+.f64 x (*.f64 y (log.f64 y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 0 | 13 | 32 |
| 1 | 22 | 32 |
| 2 | 41 | 31 |
| 3 | 82 | 31 |
| 4 | 130 | 31 |
| 5 | 204 | 31 |
| 6 | 383 | 31 |
| 7 | 689 | 31 |
| 8 | 916 | 31 |
| 9 | 1056 | 31 |
| 10 | 1144 | 31 |
| 11 | 1203 | 31 |
| 12 | 1353 | 31 |
| 13 | 1356 | 31 |
| 14 | 1357 | 31 |
| 0 | 1357 | 29 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
(+.f64 x (*.f64 y (log.f64 y))) |
x |
(*.f64 y (log.f64 y)) |
y |
(log.f64 y) |
z |
| Outputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(+.f64 x (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) y x) |
x |
(*.f64 y (log.f64 y)) |
(*.f64 (log.f64 y) y) |
y |
(log.f64 y) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (log.f64 y) | |
| accuracy | 0.0 | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) | |
| accuracy | 0.01171875 | (+.f64 x (*.f64 y (log.f64 y))) | |
| accuracy | 0.2890625 | (*.f64 y (log.f64 y)) |
| 17.0ms | 256× | 0 | valid |
Compiled 34 to 10 computations (70.6% saved)
ival-log: 3.0ms (31.5% of total)ival-exp: 2.0ms (21% of total)ival-mult: 2.0ms (21% of total)ival-sub: 1.0ms (10.5% of total)ival-add: 1.0ms (10.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 x (*.f64 y (log.f64 y))) |
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
(*.f64 y (log.f64 y)) |
(log.f64 y) |
| Outputs |
|---|
(* y (log y)) |
(+ x (* y (log y))) |
(exp (- (* y (log y)) z)) |
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z)))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z))))))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z)))))))) |
(- (* y (log y)) z) |
(- (+ x (* y (log y))) z) |
x |
(* x (+ 1 (/ (* y (log y)) x))) |
(exp (- (+ x (* y (log y))) z)) |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(exp (- x z)) |
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y)))) |
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y))))) |
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y))))) |
(- x z) |
(log y) |
(* -1 (* y (log (/ 1 y)))) |
(* y (+ (* -1 (log (/ 1 y))) (/ x y))) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(* -1 (log (/ 1 y))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(exp (+ x (* y (log y)))) |
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y))))))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y))))))))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y)))))))))) |
(+ x (+ (* -1 z) (* y (log y)))) |
(* -1 z) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 58.0ms | y | @ | 0 | ((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)) (log y)) |
| 15.0ms | y | @ | -inf | ((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)) (log y)) |
| 7.0ms | y | @ | inf | ((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)) (log y)) |
| 6.0ms | x | @ | 0 | ((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)) (log y)) |
| 2.0ms | z | @ | 0 | ((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)) (log y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 458 |
| 1 | 407 | 394 |
| 2 | 1267 | 367 |
| 3 | 4231 | 343 |
| 0 | 8302 | 317 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (log y)) |
(+ x (* y (log y))) |
(exp (- (* y (log y)) z)) |
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z)))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z))))))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z)))))))) |
(- (* y (log y)) z) |
(- (+ x (* y (log y))) z) |
x |
(* x (+ 1 (/ (* y (log y)) x))) |
(exp (- (+ x (* y (log y))) z)) |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(exp (- x z)) |
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y)))) |
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y))))) |
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y))))) |
(- x z) |
(log y) |
(* -1 (* y (log (/ 1 y)))) |
(* y (+ (* -1 (log (/ 1 y))) (/ x y))) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(* -1 (log (/ 1 y))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(exp (+ x (* y (log y)))) |
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y))))))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y))))))))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y)))))))))) |
(+ x (+ (* -1 z) (* y (log y)))) |
(* -1 z) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
| Outputs |
|---|
(* y (log y)) |
(*.f64 (log.f64 y) y) |
(+ x (* y (log y))) |
(fma.f64 (log.f64 y) y x) |
(exp (- (* y (log y)) z)) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z)))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y y) (exp.f64 z))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 (pow.f64 y y) (exp.f64 z))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z)))))))) |
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) |
(- (* y (log y)) z) |
(-.f64 (*.f64 (log.f64 y) y) z) |
(- (+ x (* y (log y))) z) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
x |
(* x (+ 1 (/ (* y (log y)) x))) |
(fma.f64 (log.f64 y) y x) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1))) |
(fma.f64 (log.f64 y) y x) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(exp (- x z)) |
(exp.f64 (-.f64 x z)) |
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y)))) |
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z))) |
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y))))) |
(*.f64 (exp.f64 (-.f64 x z)) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (log.f64 y) y #s(literal 1 binary64)))) |
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y))))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (exp.f64 (-.f64 x z))) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z)))) |
(- x z) |
(-.f64 x z) |
(log y) |
(log.f64 y) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 (log.f64 y) y) |
(* y (+ (* -1 (log (/ 1 y))) (/ x y))) |
(fma.f64 (log.f64 y) y x) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(* -1 (log (/ 1 y))) |
(log.f64 y) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y x) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y (-.f64 x z)) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(exp (+ x (* y (log y)))) |
(*.f64 (pow.f64 y y) (exp.f64 x)) |
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y))))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (pow.f64 y y) (exp.f64 x))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y))))))))) |
(*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) z))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y)))))))))) |
(*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) (*.f64 z z) (-.f64 #s(literal 1 binary64) z))) |
(+ x (+ (* -1 z) (* y (log y)))) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 29 |
| 0 | 13 | 29 |
| 1 | 47 | 29 |
| 2 | 376 | 28 |
| 3 | 5558 | 28 |
| 0 | 8413 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 y (log.f64 y))) |
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
(*.f64 y (log.f64 y)) |
(log.f64 y) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (fma.f64 (log.f64 y) y x) y) (log.f64 y) (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) (-.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64)))) (fma.f64 (log.f64 y) y x)) |
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (*.f64 (log.f64 y) y) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 x (*.f64 (log.f64 y) y)) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64)))) |
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(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) (fma.f64 (*.f64 z z) (fma.f64 z z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 (log.f64 y) y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 6 binary64))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) y (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (log.f64 y) y (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (log.f64 y) y (neg.f64 z)) x)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) y (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (log.f64 y) y (neg.f64 z)) (-.f64 (fma.f64 (log.f64 y) y (neg.f64 z)) x) (*.f64 x x))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))) (neg.f64 (+.f64 z (fma.f64 (log.f64 y) y x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64))) (+.f64 z (fma.f64 (log.f64 y) y x))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (fma.f64 (log.f64 y) y x))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 z) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))) (+.f64 z (fma.f64 (log.f64 y) y x)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64))) (neg.f64 (+.f64 z (fma.f64 (log.f64 y) y x))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (-.f64 z (fma.f64 (log.f64 y) y x)) (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64))) (neg.f64 (*.f64 z (/.f64 z (+.f64 z (fma.f64 (log.f64 y) y x)))))) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))) (-.f64 (fma.f64 (log.f64 y) y x) z) (neg.f64 (*.f64 z (/.f64 z (+.f64 z (fma.f64 (log.f64 y) y x)))))) |
(fma.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (fma.f64 (log.f64 y) y x) y) (log.f64 y) (*.f64 x x)) (neg.f64 z)) |
(fma.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y))) (neg.f64 z)) |
(fma.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) (-.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 z)) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)) (*.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z) #s(literal 3 binary64)) (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z) (-.f64 (*.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z) (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64)))) (fma.f64 (log.f64 y) y x) (neg.f64 z)) |
(fma.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 3/2 binary64)) (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))))) |
(fma.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64)) (*.f64 z z)) (pow.f64 (fma.f64 (log.f64 y) y z) #s(literal -1 binary64)) x) |
(fma.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (*.f64 (log.f64 y) y) x) #s(literal -1 binary64)) (neg.f64 z)) |
(fma.f64 #s(literal -1 binary64) z (fma.f64 (log.f64 y) y x)) |
(fma.f64 (pow.f64 (-.f64 x (*.f64 (log.f64 y) y)) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64))) (neg.f64 z)) |
(fma.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 z)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) y x) (neg.f64 z)) |
(fma.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 z (fma.f64 (log.f64 y) y z) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64))) #s(literal -1 binary64)) x) |
(fma.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 x (*.f64 (log.f64 y) y))) #s(literal -1 binary64)) (neg.f64 z)) |
(fma.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) #s(literal -1 binary64)) (neg.f64 z)) |
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (*.f64 (log.f64 y) y)) #s(literal -1 binary64)) (neg.f64 z)) |
(fma.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)) (/.f64 (fma.f64 (log.f64 y) y x) (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)) (pow.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) #s(literal -1 binary64)) (neg.f64 (*.f64 z (/.f64 z (+.f64 z (fma.f64 (log.f64 y) y x)))))) |
(fma.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x)) (/.f64 (fma.f64 (log.f64 y) y x) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) (neg.f64 z)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x)) (*.f64 (fma.f64 (log.f64 y) y x) (pow.f64 (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 z)) |
(fma.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 z)) |
(fma.f64 z #s(literal -1 binary64) (fma.f64 (log.f64 y) y x)) |
(fma.f64 (fma.f64 (log.f64 y) y x) (/.f64 (fma.f64 (log.f64 y) y x) (+.f64 z (fma.f64 (log.f64 y) y x))) (neg.f64 (*.f64 z (/.f64 z (+.f64 z (fma.f64 (log.f64 y) y x)))))) |
(fma.f64 (fma.f64 (log.f64 y) y x) (/.f64 (-.f64 x (*.f64 (log.f64 y) y)) (-.f64 x (*.f64 (log.f64 y) y))) (neg.f64 z)) |
(fma.f64 (fma.f64 (log.f64 y) y x) (/.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)) (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))))) |
(fma.f64 (fma.f64 (log.f64 y) y x) (*.f64 (-.f64 x (*.f64 (log.f64 y) y)) (pow.f64 (-.f64 x (*.f64 (log.f64 y) y)) #s(literal -1 binary64))) (neg.f64 z)) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (neg.f64 z) (*.f64 x (/.f64 x (-.f64 x (*.f64 (log.f64 y) y))))) (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (log.f64 y) y)))) |
(-.f64 (+.f64 (fma.f64 (log.f64 y) y x) #s(literal 0 binary64)) z) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 (log.f64 y) y (neg.f64 z)))) (/.f64 (pow.f64 (fma.f64 (log.f64 y) y (neg.f64 z)) #s(literal 2 binary64)) (-.f64 x (fma.f64 (log.f64 y) y (neg.f64 z))))) |
(-.f64 #s(literal 0 binary64) (-.f64 z (fma.f64 (log.f64 y) y x))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)) (+.f64 z (fma.f64 (log.f64 y) y x))) (*.f64 z (/.f64 z (+.f64 z (fma.f64 (log.f64 y) y x))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 3 binary64)) (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64))))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 (log.f64 y) y)))) (+.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (log.f64 y) y))) z)) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 (log.f64 y) y)))) (-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (log.f64 y) y))) (neg.f64 z))) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(-.f64 (*.f64 (log.f64 y) y) (-.f64 z x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (fma.f64 (log.f64 y) y x) z) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (-.f64 x z) (*.f64 (log.f64 y) y)) |
(+.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)) (+.f64 z (fma.f64 (log.f64 y) y x))) (neg.f64 (*.f64 z (/.f64 z (+.f64 z (fma.f64 (log.f64 y) y x)))))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 3 binary64)) (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))))) |
(+.f64 (fma.f64 (log.f64 y) y (neg.f64 z)) x) |
(+.f64 (neg.f64 z) (fma.f64 (log.f64 y) y x)) |
(+.f64 (fma.f64 (log.f64 y) y x) (neg.f64 z)) |
(+.f64 (*.f64 (log.f64 y) y) (-.f64 x z)) |
(+.f64 x (fma.f64 (log.f64 y) y (neg.f64 z))) |
(*.f64 (log.f64 y) y) |
(*.f64 y (log.f64 y)) |
(pow.f64 (*.f64 (log.f64 y) y) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) y)) #s(literal 1 binary64))) |
(log.f64 y) |
Compiled 6 879 to 900 computations (86.9% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 241 | 4 | 245 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 242 | 4 | 246 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 80.9% | (exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) |
| ▶ | 76.3% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
| ▶ | 50.9% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
| ▶ | 68.4% | #s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x))) |
Compiled 55 to 43 computations (21.8% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (log.f64 y) y) | |
| cost-diff | 0 | #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z) | |
| cost-diff | 0 | (exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) | |
| cost-diff | 0 | (-.f64 x z) | |
| cost-diff | 0 | #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) | |
| cost-diff | 0 | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)) | |
| cost-diff | 0 | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (pow.f64 y y) | |
| cost-diff | 0 | (*.f64 (pow.f64 y y) (exp.f64 x)) | |
| cost-diff | 0 | #s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 131 |
| 0 | 34 | 131 |
| 1 | 51 | 131 |
| 2 | 73 | 130 |
| 3 | 128 | 130 |
| 4 | 195 | 130 |
| 5 | 290 | 130 |
| 6 | 494 | 130 |
| 7 | 806 | 130 |
| 8 | 1076 | 130 |
| 9 | 1239 | 130 |
| 10 | 1337 | 130 |
| 11 | 1396 | 130 |
| 12 | 1546 | 130 |
| 13 | 1549 | 130 |
| 14 | 1550 | 130 |
| 0 | 1550 | 123 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x))) |
(*.f64 (pow.f64 y y) (exp.f64 x)) |
(pow.f64 y y) |
y |
(exp.f64 x) |
x |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z)) |
(neg.f64 z) |
z |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) |
(-.f64 x z) |
x |
z |
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) |
(-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z) |
#s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) |
(*.f64 (log.f64 y) y) |
(log.f64 y) |
y |
z |
| Outputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x))) |
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (exp.f64 x) (pow.f64 y y))) |
(*.f64 (pow.f64 y y) (exp.f64 x)) |
(*.f64 (exp.f64 x) (pow.f64 y y)) |
(pow.f64 y y) |
y |
(exp.f64 x) |
x |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z)) |
(neg.f64 z) |
z |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) |
(-.f64 x z) |
x |
z |
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) |
(-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z) |
#s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) |
(*.f64 (log.f64 y) y) |
(log.f64 y) |
y |
z |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (log.f64 y) | |
| accuracy | 0.0 | (exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) | |
| accuracy | 0.2578125 | (*.f64 (log.f64 y) y) | |
| accuracy | 26.60657442890329 | #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) | |
| accuracy | 0.0 | (-.f64 x z) | |
| accuracy | 0.0 | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) | |
| accuracy | 21.229934813197747 | #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 0.0 | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) | |
| accuracy | 38.07392317528391 | #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)) | |
| accuracy | 0.0 | (pow.f64 y y) | |
| accuracy | 0.0 | (*.f64 (pow.f64 y y) (exp.f64 x)) | |
| accuracy | 0.0 | (exp.f64 x) | |
| accuracy | 13.942840355067231 | #s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x))) |
| 29.0ms | 231× | 0 | valid |
| 3.0ms | 25× | 0 | exit |
Compiled 97 to 16 computations (83.5% saved)
ival-mult: 5.0ms (23.9% of total)ival-exp: 4.0ms (19.1% of total)ival-pow: 4.0ms (19.1% of total)ival-log: 3.0ms (14.3% of total)ival-sub: 2.0ms (9.5% of total)ival-add: 1.0ms (4.8% of total)ival-neg: 1.0ms (4.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x))) |
(*.f64 (pow.f64 y y) (exp.f64 x)) |
(pow.f64 y y) |
(exp.f64 x) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z)) |
(neg.f64 z) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) |
(-.f64 x z) |
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) |
(-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z) |
#s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) |
(*.f64 (log.f64 y) y) |
(log.f64 y) |
| Outputs |
|---|
(exp (- (* y (log y)) z)) |
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z)))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z))))))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z)))))))) |
(pow y y) |
(+ (* x (pow y y)) (pow y y)) |
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y)) |
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y)) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(- (* y (log y)) z) |
(- (+ x (* y (log y))) z) |
(* -1 z) |
(- x z) |
(* y (log y)) |
(+ x (* y (log y))) |
(exp (- (+ x (* y (log y))) z)) |
(* (exp x) (pow y y)) |
(exp x) |
x |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (/ (* y (log y)) x))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1))) |
(exp (- x z)) |
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y)))) |
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y))))) |
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y))))) |
(+ (exp x) (* y (* (exp x) (log y)))) |
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y))))) |
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y))))) |
(+ 1 (* y (log y))) |
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2)))))) |
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2))))))) |
(log y) |
(* -1 (* y (log (/ 1 y)))) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(* y (+ (* -1 (log (/ 1 y))) (/ x y))) |
(* -1 (log (/ 1 y))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y))))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(exp (+ x (* y (log y)))) |
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y))))))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y))))))))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y)))))))))) |
(+ x (+ (* -1 z) (* y (log y)))) |
(+ x (* -1 z)) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(* z (- (/ x z) 1)) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 62.0ms | x | @ | inf | ((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp x) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ x (* y (log y))) (* (log y) y) (log y)) |
| 11.0ms | y | @ | 0 | ((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp x) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ x (* y (log y))) (* (log y) y) (log y)) |
| 10.0ms | x | @ | -inf | ((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp x) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ x (* y (log y))) (* (log y) y) (log y)) |
| 9.0ms | y | @ | -inf | ((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp x) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ x (* y (log y))) (* (log y) y) (log y)) |
| 7.0ms | y | @ | inf | ((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp x) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ x (* y (log y))) (* (log y) y) (log y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 200 | 669 |
| 1 | 635 | 600 |
| 2 | 1855 | 554 |
| 3 | 4047 | 545 |
| 0 | 8914 | 495 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp (- (* y (log y)) z)) |
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z)))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z))))))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z)))))))) |
(pow y y) |
(+ (* x (pow y y)) (pow y y)) |
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y)) |
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y)) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(- (* y (log y)) z) |
(- (+ x (* y (log y))) z) |
(* -1 z) |
(- x z) |
(* y (log y)) |
(+ x (* y (log y))) |
(exp (- (+ x (* y (log y))) z)) |
(* (exp x) (pow y y)) |
(exp x) |
x |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (/ (* y (log y)) x))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1))) |
(exp (- x z)) |
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y)))) |
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y))))) |
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y))))) |
(+ (exp x) (* y (* (exp x) (log y)))) |
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y))))) |
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y))))) |
(+ 1 (* y (log y))) |
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2)))))) |
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2))))))) |
(log y) |
(* -1 (* y (log (/ 1 y)))) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(* y (+ (* -1 (log (/ 1 y))) (/ x y))) |
(* -1 (log (/ 1 y))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y))))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(exp (+ x (* y (log y)))) |
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y))))))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y))))))))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y)))))))))) |
(+ x (+ (* -1 z) (* y (log y)))) |
(+ x (* -1 z)) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(* z (- (/ x z) 1)) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
| Outputs |
|---|
(exp (- (* y (log y)) z)) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z)))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y y) (exp.f64 z))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z))))))) |
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z)))))))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x (/.f64 (pow.f64 y y) (exp.f64 z))) |
(pow y y) |
(pow.f64 y y) |
(+ (* x (pow y y)) (pow y y)) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y y)) |
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y)) |
(*.f64 (pow.f64 y y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y)) |
(fma.f64 (*.f64 (pow.f64 y y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x (pow.f64 y y)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(- (* y (log y)) z) |
(-.f64 (*.f64 (log.f64 y) y) z) |
(- (+ x (* y (log y))) z) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(* -1 z) |
(neg.f64 z) |
(- x z) |
(-.f64 x z) |
(* y (log y)) |
(*.f64 (log.f64 y) y) |
(+ x (* y (log y))) |
(fma.f64 (log.f64 y) y x) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
(* (exp x) (pow y y)) |
(*.f64 (exp.f64 x) (pow.f64 y y)) |
(exp x) |
(exp.f64 x) |
x |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x z) |
(* x (+ 1 (/ (* y (log y)) x))) |
(fma.f64 (log.f64 y) y x) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(* -1 (* x (- (/ z x) 1))) |
(-.f64 x z) |
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1))) |
(fma.f64 (log.f64 y) y x) |
(exp (- x z)) |
(exp.f64 (-.f64 x z)) |
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y)))) |
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z))) |
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y))))) |
(fma.f64 (*.f64 (exp.f64 (-.f64 x z)) (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y (log.f64 y))) y (exp.f64 (-.f64 x z))) |
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y))))) |
(fma.f64 (*.f64 y y) (*.f64 (exp.f64 (-.f64 x z)) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z)))) |
(+ (exp x) (* y (* (exp x) (log y)))) |
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 x)) |
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y))))) |
(fma.f64 (*.f64 (exp.f64 x) (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y (log.f64 y))) y (exp.f64 x)) |
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y))))) |
(fma.f64 (fma.f64 (*.f64 (exp.f64 x) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64)))) y (*.f64 (exp.f64 x) (log.f64 y))) y (exp.f64 x)) |
(+ 1 (* y (log y))) |
(fma.f64 (log.f64 y) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2)))))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y (log.f64 y)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2))))))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64))) y (log.f64 y)) y #s(literal 1 binary64)) |
(log y) |
(log.f64 y) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 (log.f64 y) y) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(* y (+ (* -1 (log (/ 1 y))) (/ x y))) |
(fma.f64 (log.f64 y) y x) |
(* -1 (log (/ 1 y))) |
(log.f64 y) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y (-.f64 x z)) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y x) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(exp (+ x (* y (log y)))) |
(*.f64 (exp.f64 x) (pow.f64 y y)) |
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y))))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (exp.f64 x) (pow.f64 y y))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y))))))))) |
(*.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) z) z (-.f64 #s(literal 1 binary64) z))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y)))))))))) |
(fma.f64 (*.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (fma.f64 z (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) #s(literal -1 binary64))) z (*.f64 (exp.f64 x) (pow.f64 y y))) |
(+ x (+ (* -1 z) (* y (log y)))) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(* z (- (/ x z) 1)) |
(-.f64 x z) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 x z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 124 |
| 0 | 34 | 124 |
| 1 | 100 | 124 |
| 2 | 640 | 123 |
| 0 | 8397 | 116 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x))) |
(*.f64 (pow.f64 y y) (exp.f64 x)) |
(pow.f64 y y) |
(exp.f64 x) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z)) |
(neg.f64 z) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) |
(-.f64 x z) |
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) |
(-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z) |
#s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) |
(*.f64 (log.f64 y) y) |
(log.f64 y) |
| Outputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (exp.f64 x) (pow.f64 y y))) |
(*.f64 (*.f64 (*.f64 (exp.f64 x) (pow.f64 (pow.f64 y y) #s(literal 1/2 binary64))) (pow.f64 y (*.f64 y #s(literal 1/4 binary64)))) (pow.f64 y (*.f64 y #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (exp.f64 x) (pow.f64 (pow.f64 y y) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 y y) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 (pow.f64 y y) #s(literal 1/2 binary64)) (exp.f64 x)))) |
(*.f64 (pow.f64 (pow.f64 y y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (pow.f64 y y) #s(literal 1/2 binary64)) (exp.f64 x))) |
(*.f64 (exp.f64 x) (pow.f64 y y)) |
(*.f64 (pow.f64 y y) (exp.f64 x)) |
(pow.f64 (exp.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64)))) (pow.f64 (-.f64 x (*.f64 (log.f64 y) y)) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (log.f64 y) y) (fma.f64 (log.f64 y) y (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64))) |
(/.f64 (exp.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (log.f64 y) y)))) (exp.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (log.f64 y) y))))) |
(exp.f64 (fma.f64 (log.f64 y) y x)) |
(*.f64 (*.f64 (pow.f64 (pow.f64 y y) #s(literal 1/2 binary64)) (pow.f64 y (*.f64 y #s(literal 1/4 binary64)))) (pow.f64 y (*.f64 y #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 y) #s(literal 2 binary64))) (pow.f64 (exp.f64 y) (/.f64 (log.f64 y) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (pow.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y (/.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 y (/.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 y (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (pow.f64 y y) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 y y) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 y y) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (*.f64 y y) y) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 y) (log.f64 y)) |
(pow.f64 (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y)) |
(pow.f64 (pow.f64 (pow.f64 y y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 y (*.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) |
(pow.f64 y (*.f64 y #s(literal 1 binary64))) |
(pow.f64 y y) |
(exp.f64 (fma.f64 (log.f64 y) (*.f64 #s(literal 1/2 binary64) y) (*.f64 (log.f64 y) (*.f64 #s(literal 1/2 binary64) y)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 y)) (log.f64 y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) y))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 y y) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) (*.f64 y #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 y) y)) |
(exp.f64 x) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z)) |
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) z) |
(*.f64 z #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (neg.f64 (fma.f64 z z #s(literal 0 binary64)))) |
(/.f64 (*.f64 (neg.f64 z) z) (-.f64 #s(literal 0 binary64) (neg.f64 z))) |
(/.f64 (*.f64 (neg.f64 z) z) z) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) |
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 0 binary64) (neg.f64 z))))) |
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (fma.f64 z z #s(literal 0 binary64))) |
(/.f64 (*.f64 z z) (neg.f64 z)) |
(neg.f64 z) |
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z z) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) z) |
(+.f64 #s(literal 0 binary64) (neg.f64 z)) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) |
(*.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 x x (*.f64 z (-.f64 z x)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (+.f64 z x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 z (+.f64 z x)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (+.f64 z x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 z (+.f64 z x)) (-.f64 (*.f64 z (+.f64 z x)) (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (*.f64 (+.f64 z x) (-.f64 x z))) (-.f64 x z)) |
(*.f64 (pow.f64 (+.f64 z x) #s(literal -1 binary64)) (*.f64 (+.f64 z x) (-.f64 x z))) |
(*.f64 (pow.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) |
(*.f64 #s(literal 1 binary64) (-.f64 x z)) |
(*.f64 (*.f64 (neg.f64 (+.f64 z x)) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 z x)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (+.f64 z x) (*.f64 x x))))) |
(*.f64 (+.f64 z x) (/.f64 (-.f64 x z) (+.f64 z x))) |
(*.f64 (+.f64 z x) (*.f64 (-.f64 x z) (pow.f64 (+.f64 z x) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (pow.f64 (+.f64 z x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (/.f64 (-.f64 x z) (fma.f64 z (+.f64 z x) (*.f64 x x)))) |
(*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (*.f64 (-.f64 x z) (pow.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) x))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (+.f64 z x) #s(literal -1 binary64))) (fma.f64 x x (*.f64 z z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (+.f64 z x) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (pow.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (+.f64 z x))) (*.f64 x (/.f64 x (+.f64 z x)))) (*.f64 (*.f64 z (/.f64 z (+.f64 z x))) (*.f64 z (/.f64 z (+.f64 z x))))) (fma.f64 x (/.f64 x (+.f64 z x)) (*.f64 z (/.f64 z (+.f64 z x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (-.f64 (neg.f64 z) x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 z x))) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 z (+.f64 z x))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (+.f64 z x))) (*.f64 x (/.f64 x (+.f64 z x))) (fma.f64 (*.f64 z (/.f64 z (+.f64 z x))) (*.f64 z (/.f64 z (+.f64 z x))) (*.f64 (*.f64 x (/.f64 x (+.f64 z x))) (*.f64 z (/.f64 z (+.f64 z x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 x x) (*.f64 (neg.f64 z) x)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 z x)) (-.f64 x z))) (neg.f64 (neg.f64 (+.f64 z x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (+.f64 z x) (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 z z)) (+.f64 z x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (+.f64 z x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z x) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (fma.f64 z (+.f64 z x) (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 (+.f64 z x) (-.f64 x z)) #s(literal 1 binary64)) (+.f64 z x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 z x)) (*.f64 (+.f64 z x) (*.f64 z z))) (*.f64 (+.f64 z x) (+.f64 z x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (fma.f64 z (+.f64 z x) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 (+.f64 z x) (fma.f64 x x (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x z))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (+.f64 z x) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 z x)) (-.f64 x z)) (neg.f64 (+.f64 z x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (+.f64 z x)) |
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(fma.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)) (/.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) (fma.f64 z (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z) (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z) (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 z z) (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)))) |
(fma.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z) (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z) (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)))))) |
(fma.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) (/.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) (neg.f64 (/.f64 (*.f64 z z) (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)))) |
(fma.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) (/.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)) (fma.f64 z (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z) (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z) (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)))))) |
(fma.f64 z #s(literal -1 binary64) #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y))) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)) (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) (/.f64 (*.f64 z z) (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 3 binary64)) (fma.f64 z (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z) (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z) (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64))))) |
(-.f64 #s(literal 0 binary64) (-.f64 z #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)))) |
(-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z) |
(+.f64 (/.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)) (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) (neg.f64 (/.f64 (*.f64 z z) (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)))) |
(+.f64 (/.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 3 binary64)) (fma.f64 z (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z) (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z) (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)))))) |
(+.f64 #s(literal 0 binary64) (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) |
(+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) (neg.f64 z)) |
(+.f64 (neg.f64 z) #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y))) |
#s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 0 binary64))) |
(/.f64 (+.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 0 binary64))))) |
(+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 0 binary64)) |
(*.f64 (log.f64 y) y) |
(*.f64 y (log.f64 y)) |
(log.f64 y) |
Compiled 9 856 to 1 078 computations (89.1% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 273 | 1 | 274 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 0 | 0 |
| Total | 275 | 3 | 278 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 76.3% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
| ✓ | 50.9% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
| ▶ | 55.9% | #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y))) |
Compiled 45 to 34 computations (24.4% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 y y) | |
| cost-diff | 0 | #s(approx (* (pow y y) (exp x)) (pow.f64 y y)) | |
| cost-diff | 0 | #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 34 |
| 0 | 15 | 34 |
| 1 | 25 | 34 |
| 2 | 43 | 33 |
| 3 | 86 | 33 |
| 4 | 134 | 33 |
| 5 | 208 | 33 |
| 6 | 389 | 33 |
| 7 | 693 | 33 |
| 8 | 921 | 33 |
| 9 | 1061 | 33 |
| 10 | 1150 | 33 |
| 11 | 1209 | 33 |
| 12 | 1359 | 33 |
| 13 | 1362 | 33 |
| 14 | 1363 | 33 |
| 0 | 1363 | 33 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y))) |
#s(approx (* (pow y y) (exp x)) (pow.f64 y y)) |
(pow.f64 y y) |
y |
| Outputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y))) |
#s(approx (* (pow y y) (exp x)) (pow.f64 y y)) |
(pow.f64 y y) |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 y y) | |
| accuracy | 13.736200678936218 | #s(approx (* (pow y y) (exp x)) (pow.f64 y y)) | |
| accuracy | 13.942840355067231 | #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y))) |
| 33.0ms | 231× | 0 | valid |
| 2.0ms | 25× | 0 | exit |
Compiled 21 to 13 computations (38.1% saved)
ival-log: 10.0ms (37.6% of total)ival-exp: 6.0ms (22.5% of total)ival-pow: 4.0ms (15% of total)ival-mult: 3.0ms (11.3% of total)ival-sub: 1.0ms (3.8% of total)ival-add: 1.0ms (3.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y))) |
#s(approx (* (pow y y) (exp x)) (pow.f64 y y)) |
(pow.f64 y y) |
| Outputs |
|---|
(exp (- (* y (log y)) z)) |
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z)))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z))))))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z)))))))) |
(pow y y) |
(+ (* x (pow y y)) (pow y y)) |
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y)) |
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y)) |
(exp (- (+ x (* y (log y))) z)) |
(* (exp x) (pow y y)) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp (- x z)) |
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y)))) |
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y))))) |
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y))))) |
(exp x) |
(+ (exp x) (* y (* (exp x) (log y)))) |
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y))))) |
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y))))) |
1 |
(+ 1 (* y (log y))) |
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2)))))) |
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2))))))) |
(exp (+ x (* y (log y)))) |
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y))))))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y))))))))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y)))))))))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | y | @ | -inf | ((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y)) |
| 7.0ms | x | @ | -inf | ((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y)) |
| 7.0ms | x | @ | inf | ((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y)) |
| 0.0ms | y | @ | 0 | ((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y)) |
| 0.0ms | y | @ | inf | ((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 471 |
| 1 | 383 | 408 |
| 2 | 1072 | 370 |
| 3 | 2484 | 338 |
| 4 | 4497 | 338 |
| 0 | 8055 | 307 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp (- (* y (log y)) z)) |
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z)))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z))))))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z)))))))) |
(pow y y) |
(+ (* x (pow y y)) (pow y y)) |
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y)) |
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y)) |
(exp (- (+ x (* y (log y))) z)) |
(* (exp x) (pow y y)) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp (- x z)) |
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y)))) |
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y))))) |
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y))))) |
(exp x) |
(+ (exp x) (* y (* (exp x) (log y)))) |
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y))))) |
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y))))) |
1 |
(+ 1 (* y (log y))) |
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2)))))) |
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2))))))) |
(exp (+ x (* y (log y)))) |
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y))))))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y))))))))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y)))))))))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
| Outputs |
|---|
(exp (- (* y (log y)) z)) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z)))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y y) (exp.f64 z))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 (pow.f64 y y) (exp.f64 z))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z)))))))) |
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(pow y y) |
(pow.f64 y y) |
(+ (* x (pow y y)) (pow y y)) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y y)) |
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (pow.f64 y y)) |
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y)) |
(*.f64 (pow.f64 y y) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(* (exp x) (pow y y)) |
(*.f64 (exp.f64 x) (pow.f64 y y)) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(exp (- x z)) |
(exp.f64 (-.f64 x z)) |
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y)))) |
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z))) |
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y))))) |
(*.f64 (exp.f64 (-.f64 x z)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (log.f64 y) #s(literal 1 binary64)) (*.f64 (log.f64 y) y) #s(literal 1 binary64))) |
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y))))) |
(fma.f64 (*.f64 (exp.f64 (-.f64 x z)) (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (*.f64 (log.f64 y) y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y (log.f64 y))) y (exp.f64 (-.f64 x z))) |
(exp x) |
(exp.f64 x) |
(+ (exp x) (* y (* (exp x) (log y)))) |
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 x)) |
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y))))) |
(*.f64 (exp.f64 x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (log.f64 y) #s(literal 1 binary64)) (*.f64 (log.f64 y) y) #s(literal 1 binary64))) |
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y))))) |
(fma.f64 (*.f64 (exp.f64 x) (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (*.f64 (log.f64 y) y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y (log.f64 y))) y (exp.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (log y))) |
(fma.f64 (log.f64 y) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (log.f64 y) #s(literal 1 binary64)) (*.f64 (log.f64 y) y) #s(literal 1 binary64)) |
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2))))))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (*.f64 (log.f64 y) y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y (log.f64 y)) y #s(literal 1 binary64)) |
(exp (+ x (* y (log y)))) |
(*.f64 (exp.f64 x) (pow.f64 y y)) |
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y))))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (exp.f64 x) (pow.f64 y y))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y))))))))) |
(*.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (-.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) #s(literal 1 binary64)) z)) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y)))))))))) |
(*.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (fma.f64 z (*.f64 z (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) z))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 33 |
| 0 | 15 | 33 |
| 1 | 56 | 33 |
| 2 | 408 | 32 |
| 3 | 5765 | 32 |
| 0 | 8227 | 32 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y))) |
#s(approx (* (pow y y) (exp x)) (pow.f64 y y)) |
(pow.f64 y y) |
| Outputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y))) |
#s(approx (* (pow y y) (exp x)) (pow.f64 y y)) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 y y) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 y y) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 y) #s(literal 2 binary64))) (pow.f64 (exp.f64 y) (/.f64 (log.f64 y) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 y (/.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 y (/.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 y y) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (pow.f64 y y) #s(literal 1/4 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 y y) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 y y) #s(literal 1/2 binary64))) |
(pow.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (log.f64 y) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (pow.f64 y y) (pow.f64 y y)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 y y) #s(literal 1/2 binary64)) y) |
(pow.f64 (pow.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
(pow.f64 (pow.f64 (*.f64 y y) (neg.f64 y)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 y #s(literal 1/2 binary64)) (+.f64 y y)) |
(pow.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) (*.f64 y #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y (/.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 y y) y) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (pow.f64 y y) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (exp.f64 y) (log.f64 y)) |
(pow.f64 (*.f64 y y) (*.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64)))) |
(pow.f64 (*.f64 y y) (/.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 y y) (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64)))) |
(pow.f64 (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y)) |
(pow.f64 (pow.f64 (pow.f64 y y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(pow.f64 y (*.f64 (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(pow.f64 y (*.f64 y #s(literal 1 binary64))) |
(pow.f64 y y) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y y) y)) #s(literal 1/2 binary64))) |
(exp.f64 (fma.f64 (*.f64 (log.f64 y) y) #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 y) y) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 y) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 y)) (log.f64 y))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) (*.f64 #s(literal 1/2 binary64) y))) |
(exp.f64 (*.f64 (log.f64 y) (*.f64 y #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 y) y)) |
Compiled 1 578 to 250 computations (84.2% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 60 | 2 | 62 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 60 | 5 | 65 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 76.3% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
| ✓ | 50.9% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
| ✓ | 55.9% | #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y))) |
| ▶ | 48.6% | #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x))) |
| ▶ | 15.5% | #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))) |
Compiled 86 to 63 computations (26.7% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | #s(approx (* (pow y y) (exp x)) (exp.f64 x)) | |
| cost-diff | 0 | #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x))) | |
| cost-diff | 0 | #s(approx (pow y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 71 |
| 0 | 19 | 71 |
| 1 | 31 | 71 |
| 2 | 48 | 69 |
| 3 | 88 | 69 |
| 4 | 136 | 69 |
| 5 | 210 | 69 |
| 6 | 389 | 69 |
| 7 | 694 | 69 |
| 8 | 921 | 69 |
| 9 | 1061 | 69 |
| 10 | 1150 | 69 |
| 11 | 1209 | 69 |
| 12 | 1359 | 69 |
| 13 | 1362 | 69 |
| 14 | 1363 | 69 |
| 0 | 1363 | 69 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))) |
#s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))) |
#s(approx (pow y y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x))) |
#s(approx (* (pow y y) (exp x)) (exp.f64 x)) |
(exp.f64 x) |
x |
| Outputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))) |
#s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))) |
#s(approx (pow y y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x))) |
#s(approx (* (pow y y) (exp x)) (exp.f64 x)) |
(exp.f64 x) |
x |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 x) | |
| accuracy | 13.942840355067231 | #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x))) | |
| accuracy | 18.30553491839219 | #s(approx (* (pow y y) (exp x)) (exp.f64 x)) | |
| accuracy | 13.736200678936218 | #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))) | |
| accuracy | 13.942840355067231 | #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))) | |
| accuracy | 26.296157073407887 | #s(approx (pow y y) #s(literal 1 binary64)) |
| 31.0ms | 231× | 0 | valid |
| 3.0ms | 25× | 0 | exit |
Compiled 39 to 14 computations (64.1% saved)
ival-mult: 9.0ms (36.3% of total)ival-exp: 6.0ms (24.2% of total)ival-pow: 4.0ms (16.1% of total)ival-log: 3.0ms (12.1% of total)ival-add: 1.0ms (4% of total)ival-sub: 1.0ms (4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))) |
#s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))) |
#s(approx (pow y y) #s(literal 1 binary64)) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x))) |
#s(approx (* (pow y y) (exp x)) (exp.f64 x)) |
(exp.f64 x) |
| Outputs |
|---|
(exp (- (* y (log y)) z)) |
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z)))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z))))))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z)))))))) |
(pow y y) |
(+ (* x (pow y y)) (pow y y)) |
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y)) |
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y)) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(exp (- (+ x (* y (log y))) z)) |
(* (exp x) (pow y y)) |
(exp x) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp (- x z)) |
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y)))) |
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y))))) |
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y))))) |
(+ (exp x) (* y (* (exp x) (log y)))) |
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y))))) |
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y))))) |
(+ 1 (* y (log y))) |
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2)))))) |
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2))))))) |
(exp (+ x (* y (log y)))) |
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y))))))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y))))))))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y)))))))))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | x | @ | -inf | ((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (exp x)) |
| 7.0ms | x | @ | inf | ((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (exp x)) |
| 0.0ms | y | @ | inf | ((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (exp x)) |
| 0.0ms | y | @ | -inf | ((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (exp x)) |
| 0.0ms | y | @ | 0 | ((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (exp x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 135 | 496 |
| 1 | 417 | 433 |
| 2 | 1124 | 391 |
| 3 | 2689 | 363 |
| 4 | 4741 | 363 |
| 0 | 8504 | 327 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp (- (* y (log y)) z)) |
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z)))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z))))))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z)))))))) |
(pow y y) |
(+ (* x (pow y y)) (pow y y)) |
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y)) |
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y)) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(exp (- (+ x (* y (log y))) z)) |
(* (exp x) (pow y y)) |
(exp x) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp (- x z)) |
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y)))) |
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y))))) |
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y))))) |
(+ (exp x) (* y (* (exp x) (log y)))) |
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y))))) |
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y))))) |
(+ 1 (* y (log y))) |
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2)))))) |
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2))))))) |
(exp (+ x (* y (log y)))) |
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y))))))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y))))))))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y)))))))))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
| Outputs |
|---|
(exp (- (* y (log y)) z)) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z)))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y y) (exp.f64 z))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 (pow.f64 y y) (exp.f64 z))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z)))))))) |
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(pow y y) |
(pow.f64 y y) |
(+ (* x (pow y y)) (pow y y)) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y y)) |
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (pow.f64 y y)) |
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y)) |
(*.f64 (pow.f64 y y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(* (exp x) (pow y y)) |
(*.f64 (exp.f64 x) (pow.f64 y y)) |
(exp x) |
(exp.f64 x) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(exp (- x z)) |
(exp.f64 (-.f64 x z)) |
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y)))) |
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z))) |
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y))))) |
(*.f64 (exp.f64 (-.f64 x z)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (log.f64 y) #s(literal 1 binary64)) (*.f64 (log.f64 y) y) #s(literal 1 binary64))) |
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y))))) |
(fma.f64 (*.f64 (exp.f64 (-.f64 x z)) (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (*.f64 (log.f64 y) y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y (log.f64 y))) y (exp.f64 (-.f64 x z))) |
(+ (exp x) (* y (* (exp x) (log y)))) |
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 x)) |
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y))))) |
(*.f64 (exp.f64 x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (log.f64 y) #s(literal 1 binary64)) (*.f64 (log.f64 y) y) #s(literal 1 binary64))) |
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y))))) |
(fma.f64 (*.f64 (exp.f64 x) (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (*.f64 (log.f64 y) y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y (log.f64 y))) y (exp.f64 x)) |
(+ 1 (* y (log y))) |
(fma.f64 (log.f64 y) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (log.f64 y) #s(literal 1 binary64)) (*.f64 (log.f64 y) y) #s(literal 1 binary64)) |
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2))))))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (*.f64 (log.f64 y) y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y (log.f64 y)) y #s(literal 1 binary64)) |
(exp (+ x (* y (log y)))) |
(*.f64 (exp.f64 x) (pow.f64 y y)) |
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y))))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (exp.f64 x) (pow.f64 y y))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y))))))))) |
(*.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (-.f64 (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) #s(literal 1 binary64)) z)) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y)))))))))) |
(*.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (fma.f64 z (*.f64 z (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) z))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 69 |
| 0 | 19 | 69 |
| 1 | 62 | 69 |
| 2 | 412 | 67 |
| 3 | 5775 | 67 |
| 0 | 8238 | 67 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))) |
#s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))) |
#s(approx (pow y y) #s(literal 1 binary64)) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x))) |
#s(approx (* (pow y y) (exp x)) (exp.f64 x)) |
(exp.f64 x) |
| Outputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))) |
#s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))) |
#s(approx (pow y y) #s(literal 1 binary64)) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x))) |
#s(approx (* (pow y y) (exp x)) (exp.f64 x)) |
(exp.f64 x) |
Compiled 863 to 123 computations (85.7% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 32 | 3 | 35 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 3 | 3 |
| Total | 32 | 8 | 40 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 76.3% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
| ✓ | 50.9% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
| ✓ | 55.9% | #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y))) |
| ✓ | 48.6% | #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x))) |
| ✓ | 15.5% | #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))) |
| 29.0% | #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) | |
| 26.1% | #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) | |
| 15.7% | #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))) |
Compiled 371 to 172 computations (53.6% saved)
| Inputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x))) |
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) |
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| Outputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
7 calls:
| 24.0ms | (*.f64 y (log.f64 y)) |
| 14.0ms | z |
| 4.0ms | (+.f64 x (*.f64 y (log.f64 y))) |
| 4.0ms | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| 100.0% | 1 | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 100.0% | 1 | (+.f64 x (*.f64 y (log.f64 y))) |
| 100.0% | 1 | (*.f64 y (log.f64 y)) |
Compiled 30 to 35 computations (-16.7% saved)
| Inputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x))) |
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) |
| Outputs |
|---|
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) |
7 calls:
| 51.0ms | z |
| 6.0ms | (*.f64 y (log.f64 y)) |
| 4.0ms | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 4.0ms | (+.f64 x (*.f64 y (log.f64 y))) |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.6% | 3 | x |
| 96.9% | 2 | y |
| 91.0% | 3 | z |
| 91.2% | 2 | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| 91.2% | 2 | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 91.2% | 2 | (+.f64 x (*.f64 y (log.f64 y))) |
| 96.9% | 2 | (*.f64 y (log.f64 y)) |
Compiled 30 to 35 computations (-16.7% saved)
| Inputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x))) |
| Outputs |
|---|
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y))) |
3 calls:
| 6.0ms | x |
| 4.0ms | (*.f64 y (log.f64 y)) |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.8% | 3 | x |
| 92.3% | 2 | y |
| 92.3% | 2 | (*.f64 y (log.f64 y)) |
Compiled 6 to 11 computations (-83.3% saved)
| Inputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
| Outputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y))) |
6 calls:
| 3.0ms | (*.f64 y (log.f64 y)) |
| 3.0ms | z |
| 3.0ms | (+.f64 x (*.f64 y (log.f64 y))) |
| 3.0ms | y |
| 3.0ms | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.5% | 3 | z |
| 72.7% | 2 | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| 73.4% | 2 | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 83.2% | 3 | (+.f64 x (*.f64 y (log.f64 y))) |
| 78.2% | 3 | y |
| 78.2% | 3 | (*.f64 y (log.f64 y)) |
Compiled 29 to 32 computations (-10.3% saved)
| Inputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y))) |
| Outputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y))) |
4 calls:
| 15.0ms | (+.f64 x (*.f64 y (log.f64 y))) |
| 3.0ms | y |
| 3.0ms | (*.f64 y (log.f64 y)) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.7% | 2 | y |
| 74.7% | 2 | (*.f64 y (log.f64 y)) |
| 72.2% | 3 | x |
| 68.4% | 2 | (+.f64 x (*.f64 y (log.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x))) |
| Outputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x))) |
7 calls:
| 5.0ms | y |
| 3.0ms | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 3.0ms | (*.f64 y (log.f64 y)) |
| 2.0ms | z |
| 2.0ms | (+.f64 x (*.f64 y (log.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.6% | 1 | (+.f64 x (*.f64 y (log.f64 y))) |
| 48.6% | 1 | x |
| 48.6% | 1 | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| 48.6% | 1 | z |
| 48.6% | 1 | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 48.6% | 1 | y |
| 48.6% | 1 | (*.f64 y (log.f64 y)) |
Compiled 30 to 35 computations (-16.7% saved)
| Inputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
7 calls:
| 8.0ms | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | (+.f64 x (*.f64 y (log.f64 y))) |
| 2.0ms | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.0% | 1 | x |
| 29.0% | 1 | y |
| 29.0% | 1 | z |
| 29.0% | 1 | (+.f64 x (*.f64 y (log.f64 y))) |
| 29.0% | 1 | (*.f64 y (log.f64 y)) |
| 29.0% | 1 | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 29.0% | 1 | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
Compiled 30 to 35 computations (-16.7% saved)
| Inputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
7 calls:
| 5.0ms | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 4.0ms | z |
| 2.0ms | (*.f64 y (log.f64 y)) |
| 2.0ms | (+.f64 x (*.f64 y (log.f64 y))) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 26.1% | 1 | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 26.1% | 1 | (+.f64 x (*.f64 y (log.f64 y))) |
| 26.1% | 1 | y |
| 26.1% | 1 | (*.f64 y (log.f64 y)) |
| 26.1% | 1 | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| 26.1% | 1 | x |
| 26.1% | 1 | z |
Compiled 30 to 35 computations (-16.7% saved)
| Inputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))) |
7 calls:
| 2.0ms | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 2.0ms | (+.f64 x (*.f64 y (log.f64 y))) |
| 1.0ms | (*.f64 y (log.f64 y)) |
| 1.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 15.7% | 1 | y |
| 15.7% | 1 | (+.f64 x (*.f64 y (log.f64 y))) |
| 15.7% | 1 | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 15.7% | 1 | (*.f64 y (log.f64 y)) |
| 15.7% | 1 | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| 15.7% | 1 | x |
| 15.7% | 1 | z |
Compiled 30 to 35 computations (-16.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))) |
7 calls:
| 5.0ms | y |
| 1.0ms | (+.f64 x (*.f64 y (log.f64 y))) |
| 1.0ms | (*.f64 y (log.f64 y)) |
| 1.0ms | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 15.5% | 1 | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| 15.5% | 1 | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 15.5% | 1 | (+.f64 x (*.f64 y (log.f64 y))) |
| 15.5% | 1 | y |
| 15.5% | 1 | (*.f64 y (log.f64 y)) |
| 15.5% | 1 | x |
| 15.5% | 1 | z |
Compiled 30 to 35 computations (-16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 60371340702853.17 | 88198204004977630.0 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 118611670794.09518 | 60371340702853.17 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 118611670794.09518 | 86723083147903790.0 |
| 0.0ms | -10503610383924705000.0 | -185355069.88599125 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 560.2629675994478 | 757.0978289849561 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 319 |
| 1 | 85 | 319 |
| 2 | 102 | 309 |
| 3 | 142 | 309 |
| 4 | 192 | 309 |
| 5 | 273 | 309 |
| 6 | 493 | 309 |
| 7 | 1238 | 309 |
| 8 | 4166 | 309 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(if (<=.f64 (*.f64 y (log.f64 y)) #s(literal 100000000000000 binary64)) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))) |
(if (<=.f64 (*.f64 y (log.f64 y)) #s(literal 200000000000 binary64)) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))) |
(if (<=.f64 (+.f64 x (*.f64 y (log.f64 y))) #s(literal -10000000000000000000 binary64)) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x))) (if (<=.f64 (+.f64 x (*.f64 y (log.f64 y))) #s(literal 200000000000 binary64)) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y))))) |
(if (<=.f64 (*.f64 y (log.f64 y)) #s(literal 600 binary64)) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x))) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(if (<=.f64 (*.f64 y (log.f64 y)) #s(literal 100000000000000 binary64)) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))) |
(if (<=.f64 (*.f64 y (log.f64 y)) #s(literal 200000000000 binary64)) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))) |
(if (<=.f64 (+.f64 x (*.f64 y (log.f64 y))) #s(literal -10000000000000000000 binary64)) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x))) (if (<=.f64 (+.f64 x (*.f64 y (log.f64 y))) #s(literal 200000000000 binary64)) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y))))) |
(if (<=.f64 (*.f64 y (log.f64 y)) #s(literal 600 binary64)) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x))) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 458 |
| 1 | 407 | 394 |
| 2 | 1267 | 367 |
| 3 | 4231 | 343 |
| 0 | 8302 | 317 |
| 0 | 135 | 496 |
| 1 | 417 | 433 |
| 2 | 1124 | 391 |
| 3 | 2689 | 363 |
| 4 | 4741 | 363 |
| 0 | 8504 | 327 |
| 0 | 124 | 471 |
| 1 | 383 | 408 |
| 2 | 1072 | 370 |
| 3 | 2484 | 338 |
| 4 | 4497 | 338 |
| 0 | 8055 | 307 |
| 0 | 200 | 669 |
| 1 | 635 | 600 |
| 2 | 1855 | 554 |
| 3 | 4047 | 545 |
| 0 | 8914 | 495 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 415 to 220 computations (47% saved)
Compiled 674 to 166 computations (75.4% saved)
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