
Time bar (total: 6.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 6 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 7 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 9 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 10 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 11 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 11 to 11 computations (0% saved)
| 827.0ms | 8 256× | 0 | valid |
ival-div: 242.0ms (51.7% of total)ival-mult: 79.0ms (16.9% of total)ival-add: 74.0ms (15.8% of total)ival-sub: 58.0ms (12.4% of total)ival-true: 6.0ms (1.3% of total)exact: 5.0ms (1.1% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 t #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 x y) z) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 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 |
| 57.0ms | 512× | 0 | valid |
Compiled 113 to 52 computations (54% saved)
ival-div: 3.0ms (23% of total)ival-add: 3.0ms (23% of total)ival-mult: 3.0ms (23% of total)ival-sub: 2.0ms (15.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 141 |
| 1 | 170 | 126 |
| 2 | 511 | 126 |
| 3 | 1660 | 126 |
| 4 | 5370 | 126 |
| 5 | 7727 | 126 |
| 0 | 9 | 9 |
| 0 | 13 | 9 |
| 1 | 24 | 9 |
| 2 | 48 | 9 |
| 3 | 83 | 9 |
| 4 | 166 | 9 |
| 5 | 301 | 9 |
| 6 | 587 | 9 |
| 7 | 1372 | 9 |
| 8 | 2733 | 9 |
| 9 | 4698 | 9 |
| 10 | 5064 | 9 |
| 11 | 5108 | 9 |
| 12 | 5116 | 9 |
| 13 | 5116 | 9 |
| 14 | 5508 | 9 |
| 15 | 5676 | 9 |
| 16 | 5676 | 9 |
| 17 | 5676 | 9 |
| 0 | 5676 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 y x) z) t)) |
(negabs t)
(sort x y)
Compiled 9 to 9 computations (0% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
Compiled 9 to 9 computations (0% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 t #s(literal 2 binary64)) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (-.f64 (+.f64 x y) z) | |
| cost-diff | 0 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 0 | 13 | 25 |
| 1 | 24 | 25 |
| 2 | 48 | 25 |
| 3 | 83 | 25 |
| 4 | 166 | 25 |
| 5 | 301 | 25 |
| 6 | 587 | 25 |
| 7 | 1372 | 25 |
| 8 | 2733 | 25 |
| 9 | 4698 | 25 |
| 10 | 5064 | 25 |
| 11 | 5108 | 25 |
| 12 | 5116 | 25 |
| 13 | 5116 | 25 |
| 14 | 5508 | 25 |
| 15 | 5676 | 25 |
| 16 | 5676 | 25 |
| 17 | 5676 | 25 |
| 0 | 5676 | 25 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(-.f64 (+.f64 x y) z) |
(+.f64 x y) |
x |
y |
z |
(*.f64 t #s(literal 2 binary64)) |
t |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 y x) z) t)) |
(-.f64 (+.f64 x y) z) |
(-.f64 (+.f64 y x) z) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
z |
(*.f64 t #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) t) |
t |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 (+.f64 x y) z) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0 | (*.f64 t #s(literal 2 binary64)) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 17.0ms | 256× | 0 | valid |
Compiled 52 to 20 computations (61.5% saved)
ival-div: 2.0ms (32% of total)ival-sub: 1.0ms (16% of total)ival-add: 1.0ms (16% of total)ival-mult: 1.0ms (16% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(-.f64 (+.f64 x y) z) |
(+.f64 x y) |
(*.f64 t #s(literal 2 binary64)) |
| Outputs |
|---|
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(- y z) |
(- (+ x y) z) |
y |
(+ x y) |
(* 1/2 (/ x t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (+ 1 (/ y x))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(- x z) |
(* 1/2 (/ y t)) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (+ 1 (/ x y))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ x (+ y (* -1 z))) |
(* -1/2 (/ z t)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 2 t) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | y | @ | -inf | ((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ x y) (* t 2)) |
| 1.0ms | z | @ | 0 | ((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ x y) (* t 2)) |
| 1.0ms | x | @ | -inf | ((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ x y) (* t 2)) |
| 1.0ms | t | @ | inf | ((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ x y) (* t 2)) |
| 1.0ms | x | @ | inf | ((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ x y) (* t 2)) |
| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 214 |
| 1 | 314 | 214 |
| 2 | 876 | 214 |
| 3 | 2921 | 194 |
| 4 | 7529 | 194 |
| 0 | 8723 | 194 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(- y z) |
(- (+ x y) z) |
y |
(+ x y) |
(* 1/2 (/ x t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (+ 1 (/ y x))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(- x z) |
(* 1/2 (/ y t)) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (+ 1 (/ x y))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ x (+ y (* -1 z))) |
(* -1/2 (/ z t)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 2 t) |
| Outputs |
|---|
(* 1/2 (/ (- y z) t)) |
(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(- y z) |
(-.f64 y z) |
(- (+ x y) z) |
(-.f64 (+.f64 y x) z) |
y |
(+ x y) |
(+.f64 y x) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(-.f64 (+.f64 y x) z) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(-.f64 (+.f64 y x) z) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* 1/2 (/ (- x z) t)) |
(*.f64 (/.f64 (-.f64 x z) t) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(- x z) |
(-.f64 x z) |
(* 1/2 (/ y t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) y) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(-.f64 (+.f64 y x) z) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(-.f64 (+.f64 y x) z) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* 1/2 (/ (+ x y) t)) |
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(+ x (+ y (* -1 z))) |
(-.f64 (+.f64 y x) z) |
(* -1/2 (/ z t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(-.f64 (+.f64 y x) z) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(-.f64 (+.f64 y x) z) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 0 | 13 | 20 |
| 1 | 57 | 20 |
| 2 | 473 | 20 |
| 3 | 7793 | 20 |
| 0 | 8232 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(-.f64 (+.f64 x y) z) |
(+.f64 x y) |
(*.f64 t #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) t)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) t)) (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (-.f64 (+.f64 y x) z)) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z (+.f64 y x)) z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 z (+.f64 y x)) z))) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (+.f64 z (+.f64 y x)) z) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z (+.f64 y x)) z) (-.f64 (*.f64 (+.f64 z (+.f64 y x)) z) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 4 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 z (+.f64 y x))) (/.f64 #s(literal -1/2 binary64) t)) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (+.f64 z (+.f64 y x)) (*.f64 #s(literal 2 binary64) t)) (/.f64 (-.f64 (+.f64 y x) z) (+.f64 z (+.f64 y x)))) |
(*.f64 (/.f64 (fma.f64 (+.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) t)) (/.f64 (-.f64 (+.f64 y x) z) (fma.f64 (+.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 z (+.f64 y x)) #s(literal -1 binary64)) t)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) t) (/.f64 (pow.f64 (+.f64 z (+.f64 y x)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 (+.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) t)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) t) (/.f64 (pow.f64 (fma.f64 (+.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (-.f64 (+.f64 y x) z) #s(literal -2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z (+.f64 y x)) t)) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 t (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) #s(literal -1 binary64)) (pow.f64 (+.f64 z (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (+.f64 y x) z) #s(literal 1/2 binary64)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) t)) (pow.f64 (+.f64 z (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 z (+.f64 y x))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) (-.f64 z (+.f64 y x))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 (-.f64 (+.f64 y x) z) #s(literal 1/2 binary64))) |
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(/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1 binary64)) (-.f64 x y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(neg.f64 (neg.f64 (+.f64 y x))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(+.f64 y x) |
(+.f64 x y) |
(*.f64 (neg.f64 (neg.f64 t)) #s(literal 2 binary64)) |
(*.f64 #s(literal -2 binary64) (neg.f64 t)) |
(*.f64 (neg.f64 t) #s(literal -2 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) t)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) t)) |
(*.f64 (*.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 t #s(literal 1 binary64))) |
(*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 t))) |
(*.f64 #s(literal 2 binary64) t) |
(*.f64 t #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) t)) |
(/.f64 (*.f64 #s(literal -2 binary64) t) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)) |
(neg.f64 (*.f64 #s(literal -2 binary64) t)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) t)) |
Compiled 12 279 to 1 490 computations (87.9% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 510 | 8 | 518 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 511 | 8 | 519 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.6% | (fma.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) |
| ▶ | 68.3% | (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
| 66.9% | (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) | |
| 35.8% | (/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) | |
| ▶ | 71.3% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
| ▶ | 38.0% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
| 38.1% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) | |
| ▶ | 35.7% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
Compiled 224 to 194 computations (13.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 t #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | #s(approx (- (+ x y) z) (-.f64 y z)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 (+.f64 y x) t) | |
| cost-diff | 0 | (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 x t) | |
| cost-diff | 0 | (*.f64 (/.f64 x t) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) t) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) | |
| cost-diff | 0 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) | |
| cost-diff | 0 | (*.f64 z (/.f64 #s(literal -1/2 binary64) t)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 (+.f64 y x) t) | |
| cost-diff | 896 | (fma.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 154 |
| 0 | 39 | 154 |
| 1 | 66 | 154 |
| 2 | 99 | 154 |
| 3 | 143 | 154 |
| 4 | 234 | 154 |
| 5 | 415 | 154 |
| 6 | 753 | 151 |
| 7 | 1655 | 151 |
| 8 | 3224 | 151 |
| 9 | 5016 | 151 |
| 10 | 5278 | 151 |
| 11 | 5376 | 151 |
| 12 | 5459 | 151 |
| 13 | 5477 | 151 |
| 14 | 5885 | 151 |
| 15 | 6075 | 151 |
| 16 | 6095 | 151 |
| 17 | 6095 | 151 |
| 18 | 6097 | 151 |
| 19 | 6097 | 151 |
| 20 | 6153 | 151 |
| 21 | 6178 | 151 |
| 0 | 6178 | 151 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) |
(/.f64 (+.f64 y x) t) |
(+.f64 y x) |
y |
x |
t |
#s(literal 1/2 binary64) |
(*.f64 z (/.f64 #s(literal -1/2 binary64) t)) |
z |
(/.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(/.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
z |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(/.f64 x t) |
x |
t |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 y x) t) |
(+.f64 y x) |
y |
x |
t |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (- (+ x y) z) (-.f64 y z)) |
(-.f64 y z) |
y |
z |
(*.f64 t #s(literal 2 binary64)) |
t |
#s(literal 2 binary64) |
| Outputs |
|---|
(fma.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) |
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64)) |
(/.f64 (+.f64 y x) t) |
(/.f64 (+.f64 x y) t) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
t |
#s(literal 1/2 binary64) |
(*.f64 z (/.f64 #s(literal -1/2 binary64) t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
z |
(/.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(/.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
z |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(/.f64 x t) |
x |
t |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x y) t))) |
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x y) t)) |
(/.f64 (+.f64 y x) t) |
(/.f64 (+.f64 x y) t) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
t |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
(*.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (/.f64 #s(literal 1/2 binary64) t)) |
#s(approx (- (+ x y) z) (-.f64 y z)) |
(-.f64 y z) |
y |
z |
(*.f64 t #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) t) |
t |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0 | (*.f64 t #s(literal 2 binary64)) | |
| accuracy | 0.0078125 | (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) | |
| accuracy | 21.76391116019757 | #s(approx (- (+ x y) z) (-.f64 y z)) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.00390625 | (/.f64 (+.f64 y x) t) | |
| accuracy | 0.00390625 | (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) | |
| accuracy | 18.34248778668008 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) | |
| accuracy | 0 | (/.f64 x t) | |
| accuracy | 0.0078125 | (*.f64 (/.f64 x t) #s(literal 1/2 binary64)) | |
| accuracy | 39.666735708247515 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) | |
| accuracy | 0 | (/.f64 #s(literal -1/2 binary64) t) | |
| accuracy | 0.1640625 | (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) | |
| accuracy | 41.07419868936116 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.00390625 | (/.f64 (+.f64 y x) t) | |
| accuracy | 0.1640625 | (*.f64 z (/.f64 #s(literal -1/2 binary64) t)) | |
| accuracy | 1.3085896216604118 | (fma.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) |
| 43.0ms | 256× | 0 | valid |
Compiled 283 to 51 computations (82% saved)
ival-div: 10.0ms (39.9% of total)ival-mult: 9.0ms (35.9% of total)ival-add: 4.0ms (16% of total)ival-sub: 2.0ms (8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) |
(/.f64 (+.f64 y x) t) |
(+.f64 y x) |
(*.f64 z (/.f64 #s(literal -1/2 binary64) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(/.f64 #s(literal -1/2 binary64) t) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(/.f64 x t) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (- (+ x y) z) (-.f64 y z)) |
(-.f64 y z) |
(*.f64 t #s(literal 2 binary64)) |
| Outputs |
|---|
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(/ y t) |
(+ (/ x t) (/ y t)) |
y |
(+ x y) |
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(* 1/2 (/ x t)) |
(/ x t) |
(* 1/2 (/ y t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(- y z) |
(- (+ x y) z) |
(* x (+ (* -1/2 (/ z (* t x))) (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(* x (+ (/ 1 t) (/ y (* t x)))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1 (/ y (* t x))) (/ 1 t)))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(- x z) |
(* -1 z) |
(* y (+ (* -1/2 (/ z (* t y))) (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(* y (+ (/ 1 t) (/ x (* t y)))) |
(* y (+ 1 (/ x y))) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ x (* t y))) (/ 1 t)))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(* -1/2 (/ z t)) |
(+ x (+ y (* -1 z))) |
(+ y (* -1 z)) |
(* z (- (* 1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (/ y z) 1)) |
(* -1 (* z (+ (* -1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t) |
(/ (+ x y) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/ -1/2 t) |
(* 2 t) |
(* -1 (/ (+ (* -1/2 (+ x y)) (* 1/2 z)) t)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | t | @ | inf | ((+ (* (/ (+ y x) t) 1/2) (* z (/ -1/2 t))) (/ (+ y x) t) (+ y x) (* z (/ -1/2 t)) (/ (- (+ x y) z) (* t 2)) (* (/ -1/2 t) z) (/ -1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ x t) 1/2) (/ x t) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- y z) (* t 2)) |
| 3.0ms | x | @ | 0 | ((+ (* (/ (+ y x) t) 1/2) (* z (/ -1/2 t))) (/ (+ y x) t) (+ y x) (* z (/ -1/2 t)) (/ (- (+ x y) z) (* t 2)) (* (/ -1/2 t) z) (/ -1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ x t) 1/2) (/ x t) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- y z) (* t 2)) |
| 2.0ms | t | @ | 0 | ((+ (* (/ (+ y x) t) 1/2) (* z (/ -1/2 t))) (/ (+ y x) t) (+ y x) (* z (/ -1/2 t)) (/ (- (+ x y) z) (* t 2)) (* (/ -1/2 t) z) (/ -1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ x t) 1/2) (/ x t) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- y z) (* t 2)) |
| 2.0ms | t | @ | -inf | ((+ (* (/ (+ y x) t) 1/2) (* z (/ -1/2 t))) (/ (+ y x) t) (+ y x) (* z (/ -1/2 t)) (/ (- (+ x y) z) (* t 2)) (* (/ -1/2 t) z) (/ -1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ x t) 1/2) (/ x t) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- y z) (* t 2)) |
| 2.0ms | x | @ | -inf | ((+ (* (/ (+ y x) t) 1/2) (* z (/ -1/2 t))) (/ (+ y x) t) (+ y x) (* z (/ -1/2 t)) (/ (- (+ x y) z) (* t 2)) (* (/ -1/2 t) z) (/ -1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ x t) 1/2) (/ x t) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- y z) (* t 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 544 |
| 1 | 582 | 544 |
| 2 | 1716 | 402 |
| 3 | 5620 | 400 |
| 0 | 8385 | 397 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(/ y t) |
(+ (/ x t) (/ y t)) |
y |
(+ x y) |
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(* 1/2 (/ x t)) |
(/ x t) |
(* 1/2 (/ y t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(- y z) |
(- (+ x y) z) |
(* x (+ (* -1/2 (/ z (* t x))) (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(* x (+ (/ 1 t) (/ y (* t x)))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1 (/ y (* t x))) (/ 1 t)))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(- x z) |
(* -1 z) |
(* y (+ (* -1/2 (/ z (* t y))) (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(* y (+ (/ 1 t) (/ x (* t y)))) |
(* y (+ 1 (/ x y))) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ x (* t y))) (/ 1 t)))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(* -1/2 (/ z t)) |
(+ x (+ y (* -1 z))) |
(+ y (* -1 z)) |
(* z (- (* 1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (/ y z) 1)) |
(* -1 (* z (+ (* -1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t) |
(/ (+ x y) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/ -1/2 t) |
(* 2 t) |
(* -1 (/ (+ (* -1/2 (+ x y)) (* 1/2 z)) t)) |
| Outputs |
|---|
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64)) |
(/ y t) |
(/.f64 y t) |
(+ (/ x t) (/ y t)) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 x y)) |
y |
(+ x y) |
(+.f64 x y) |
(* 1/2 (/ (- y z) t)) |
(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(/ x t) |
(/.f64 x t) |
(* 1/2 (/ y t)) |
(*.f64 (/.f64 y t) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) |
(- y z) |
(-.f64 y z) |
(- (+ x y) z) |
(-.f64 (+.f64 x y) z) |
(* x (+ (* -1/2 (/ z (* t x))) (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64)) |
(* x (+ (/ 1 t) (/ y (* t x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 x y)) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(fma.f64 (/.f64 (-.f64 y z) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1 (/ y (* t x))) (/ 1 t)))) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 x y)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y z) x) x x) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) |
(*.f64 (/.f64 (-.f64 x z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- x z) t)) |
(*.f64 (/.f64 (-.f64 x z) t) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64)) |
(- x z) |
(-.f64 x z) |
(* -1 z) |
(neg.f64 z) |
(* y (+ (* -1/2 (/ z (* t y))) (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64)) |
(* y (+ (/ 1 t) (/ x (* t y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 x y)) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64)) |
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(-.f64 (+.f64 x y) z) |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) y)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64)) |
(* -1 (* y (- (* -1 (/ x (* t y))) (/ 1 t)))) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 x y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64)) |
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(-.f64 (+.f64 x y) z) |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(* 1/2 (/ (+ x y) t)) |
(*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64)) |
(* -1/2 (/ z t)) |
(*.f64 (/.f64 z t) #s(literal -1/2 binary64)) |
(+ x (+ y (* -1 z))) |
(-.f64 (+.f64 x y) z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(* z (- (* 1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(fma.f64 (/.f64 x z) z (-.f64 y z)) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* -1 (* z (+ (* -1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(-.f64 (+.f64 x y) z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t) |
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64)) |
(/ (+ x y) t) |
(/.f64 (+.f64 x y) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64)) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
(* -1 (/ (+ (* -1/2 (+ x y)) (* 1/2 z)) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 123 |
| 0 | 39 | 123 |
| 1 | 152 | 123 |
| 2 | 1223 | 123 |
| 0 | 8350 | 123 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) |
(/.f64 (+.f64 y x) t) |
(+.f64 y x) |
(*.f64 z (/.f64 #s(literal -1/2 binary64) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(/.f64 #s(literal -1/2 binary64) t) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(/.f64 x t) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (- (+ x y) z) (-.f64 y z)) |
(-.f64 y z) |
(*.f64 t #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 t (+.f64 x y)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (neg.f64 (+.f64 x y))) (*.f64 #s(literal -2 binary64) t)))) |
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 t (+.f64 x y)) #s(literal -2 binary64))) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (+.f64 x y)) z) (*.f64 #s(literal -2 binary64) t))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 z t) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 t (+.f64 x y)) #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 t (+.f64 x y)) #s(literal -2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (/.f64 (-.f64 z (neg.f64 (+.f64 x y))) (*.f64 #s(literal -2 binary64) t))))))) |
(*.f64 (fma.f64 (*.f64 (+.f64 x y) #s(literal 1/2 binary64)) t (*.f64 t (*.f64 #s(literal -1/2 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) t (*.f64 t (*.f64 (+.f64 x y) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 t (+.f64 x y)) #s(literal -2 binary64))) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 (neg.f64 (+.f64 x y)) z) (*.f64 #s(literal -2 binary64) t)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) t) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 z t) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 t (+.f64 x y)) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x y) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) z))) (*.f64 t t))))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 z t) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 t (+.f64 x y)) #s(literal -3 binary64)))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 t (+.f64 x y)) #s(literal -2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (/.f64 (-.f64 z (neg.f64 (+.f64 x y))) (*.f64 #s(literal -2 binary64) t)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) t) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 t (+.f64 x y)) #s(literal -2 binary64))) (/.f64 (-.f64 (neg.f64 (+.f64 x y)) z) (*.f64 #s(literal -2 binary64) t))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (+.f64 x y)) z) (*.f64 #s(literal -2 binary64) t))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 t (+.f64 x y)) #s(literal -2 binary64))) (/.f64 (-.f64 (neg.f64 (+.f64 x y)) z) (*.f64 #s(literal -2 binary64) t))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 t (+.f64 x y)) #s(literal -2 binary64))) (/.f64 (-.f64 (neg.f64 (+.f64 x y)) z) (*.f64 #s(literal -2 binary64) t))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (+.f64 x y)) z) (*.f64 #s(literal -2 binary64) t))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (+.f64 x y)) z) (*.f64 #s(literal -2 binary64) t))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 t (+.f64 x y)) #s(literal -2 binary64))) (/.f64 (-.f64 (neg.f64 (+.f64 x y)) z) (*.f64 #s(literal -2 binary64) t))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (+.f64 x y)) z) (*.f64 #s(literal -2 binary64) t))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 t (+.f64 x y)) #s(literal -2 binary64))))) (neg.f64 (/.f64 (-.f64 z (neg.f64 (+.f64 x y))) (*.f64 #s(literal -2 binary64) t)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 t (+.f64 x y)) #s(literal -2 binary64))) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (+.f64 x y)) z) (*.f64 #s(literal -2 binary64) t))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 z t) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 t (+.f64 x y)) #s(literal -3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 t (+.f64 x y)) #s(literal -2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (/.f64 (-.f64 z (neg.f64 (+.f64 x y))) (*.f64 #s(literal -2 binary64) t))))))) |
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(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (+.f64 z y) (*.f64 y y))))) |
(*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (-.f64 y (neg.f64 z)))) |
(*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (pow.f64 (+.f64 z y) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 y z)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 y (neg.f64 z)))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (+.f64 z y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 y y) (+.f64 z y)) (fma.f64 (/.f64 (*.f64 z z) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y)) (*.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 y y) (*.f64 (neg.f64 z) y)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z)))) (neg.f64 (neg.f64 (+.f64 z y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (+.f64 z y) (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 z y)) (*.f64 (+.f64 z y) (*.f64 z z))) (*.f64 (+.f64 z y) (+.f64 z y))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (fma.f64 z (+.f64 z y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z))) (neg.f64 (-.f64 y (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z))) (neg.f64 (+.f64 z y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 y (neg.f64 z)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)))) |
(/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (-.f64 y (neg.f64 z))) |
(/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (+.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (neg.f64 z)) (*.f64 (+.f64 z y) (-.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 y (neg.f64 z)))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y z))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 y (neg.f64 z))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z y) (*.f64 y y))) |
(fma.f64 #s(literal -1 binary64) z y) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (neg.f64 z))) (/.f64 (*.f64 z z) (-.f64 y (neg.f64 z)))) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y)))) |
(-.f64 y z) |
(+.f64 (neg.f64 z) y) |
(+.f64 y (neg.f64 z)) |
(*.f64 #s(literal 2 binary64) t) |
(*.f64 t #s(literal 2 binary64)) |
Compiled 19 666 to 2 289 computations (88.4% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 826 | 2 | 828 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 827 | 9 | 836 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 97.6% | (fma.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) |
| ▶ | 66.2% | (fma.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) |
| ✓ | 68.3% | (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
| ▶ | 66.9% | (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
| ▶ | 35.8% | (/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) |
| ✓ | 71.3% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
| ✓ | 38.0% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
| ✓ | 35.7% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
| ▶ | 38.2% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
Compiled 134 to 113 computations (15.7% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (/.f64 #s(literal -1/2 binary64) t)) | |
| cost-diff | 0 | (/.f64 y t) | |
| cost-diff | 0 | #s(approx (/ (+ y x) t) (/.f64 y t)) | |
| cost-diff | 192 | (fma.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) | |
| cost-diff | 0 | (*.f64 t #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 x z) | |
| cost-diff | 0 | #s(approx (- (+ x y) z) (-.f64 x z)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 t #s(literal 2 binary64)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (- (+ x y) z) (neg.f64 z)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 y t) | |
| cost-diff | 0 | #s(approx (/ (+ y x) t) (/.f64 y t)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 148 |
| 0 | 37 | 148 |
| 1 | 61 | 148 |
| 2 | 90 | 148 |
| 3 | 134 | 148 |
| 4 | 219 | 148 |
| 5 | 380 | 148 |
| 6 | 694 | 148 |
| 7 | 1584 | 147 |
| 8 | 3005 | 147 |
| 9 | 5041 | 147 |
| 10 | 5566 | 147 |
| 11 | 5813 | 147 |
| 12 | 5982 | 147 |
| 13 | 6018 | 147 |
| 14 | 6046 | 147 |
| 15 | 6448 | 147 |
| 16 | 6616 | 147 |
| 17 | 6616 | 147 |
| 18 | 6616 | 147 |
| 19 | 6616 | 147 |
| 20 | 6688 | 147 |
| 21 | 6856 | 147 |
| 22 | 6905 | 147 |
| 0 | 6905 | 147 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ y x) t) (/.f64 y t)) |
(/.f64 y t) |
y |
t |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (- (+ x y) z) (neg.f64 z)) |
(neg.f64 z) |
z |
(*.f64 t #s(literal 2 binary64)) |
t |
#s(literal 2 binary64) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (- (+ x y) z) (-.f64 x z)) |
(-.f64 x z) |
x |
z |
(*.f64 t #s(literal 2 binary64)) |
t |
#s(literal 2 binary64) |
(fma.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) |
#s(approx (/ (+ y x) t) (/.f64 y t)) |
(/.f64 y t) |
y |
t |
#s(literal 1/2 binary64) |
(*.f64 z (/.f64 #s(literal -1/2 binary64) t)) |
z |
(/.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)))) |
(*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t))) |
#s(approx (/ (+ y x) t) (/.f64 y t)) |
(/.f64 y t) |
y |
t |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) |
(*.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (/.f64 #s(literal 1/2 binary64) t)) |
#s(approx (- (+ x y) z) (neg.f64 z)) |
(neg.f64 z) |
z |
(*.f64 t #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) t) |
t |
#s(literal 2 binary64) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
(*.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) t)) |
#s(approx (- (+ x y) z) (-.f64 x z)) |
(-.f64 x z) |
x |
z |
(*.f64 t #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) t) |
t |
#s(literal 2 binary64) |
(fma.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) |
(*.f64 (-.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) (/.f64 z t)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ y x) t) (/.f64 y t)) |
(/.f64 y t) |
y |
t |
#s(literal 1/2 binary64) |
(*.f64 z (/.f64 #s(literal -1/2 binary64) t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
z |
(/.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal -1/2 binary64) t) | |
| accuracy | 0.1640625 | (*.f64 z (/.f64 #s(literal -1/2 binary64) t)) | |
| accuracy | 1.3085896216604118 | (fma.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) | |
| accuracy | 29.63994674891936 | #s(approx (/ (+ y x) t) (/.f64 y t)) | |
| accuracy | 0 | (-.f64 x z) | |
| accuracy | 0 | (*.f64 t #s(literal 2 binary64)) | |
| accuracy | 0.0078125 | (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) | |
| accuracy | 22.55366582836211 | #s(approx (- (+ x y) z) (-.f64 x z)) | |
| accuracy | 0 | (*.f64 t #s(literal 2 binary64)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.0078125 | (/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) | |
| accuracy | 43.71043311713068 | #s(approx (- (+ x y) z) (neg.f64 z)) | |
| accuracy | 0 | (/.f64 y t) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)) | |
| accuracy | 18.34248778668008 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) | |
| accuracy | 29.63994674891936 | #s(approx (/ (+ y x) t) (/.f64 y t)) |
| 220.0ms | 256× | 0 | valid |
Compiled 257 to 50 computations (80.5% saved)
ival-div: 106.0ms (54.8% of total)ival-mult: 79.0ms (40.8% of total)ival-add: 4.0ms (2.1% of total)ival-sub: 2.0ms (1% of total)ival-neg: 1.0ms (0.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ y x) t) (/.f64 y t)) |
(/.f64 y t) |
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (- (+ x y) z) (neg.f64 z)) |
(neg.f64 z) |
(*.f64 t #s(literal 2 binary64)) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (- (+ x y) z) (-.f64 x z)) |
(-.f64 x z) |
(fma.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) |
(*.f64 z (/.f64 #s(literal -1/2 binary64) t)) |
(/.f64 #s(literal -1/2 binary64) t) |
| Outputs |
|---|
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(* 1/2 (/ y t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(/ y t) |
(+ (/ x t) (/ y t)) |
(- y z) |
(- (+ x y) z) |
(* -1 z) |
(- x z) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(* 1/2 (/ x t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(/ x t) |
(* x (+ (/ 1 t) (/ y (* t x)))) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ (* -1/2 (/ z (* t x))) (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1 (/ y (* t x))) (/ 1 t)))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) x)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))) |
(* y (+ (/ 1 t) (/ x (* t y)))) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (+ (* -1/2 (/ z (* t y))) (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ x (* t y))) (/ 1 t)))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) y)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ x y) |
(+ x (+ y (* -1 z))) |
(+ x (* -1 z)) |
(* -1/2 (/ z t)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (/ x z) 1)) |
(* z (- (* 1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t)))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/ (+ x y) t) |
(* 2 t) |
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t) |
(/ -1/2 t) |
(* -1 (/ (+ (* -1/2 (+ x y)) (* 1/2 z)) t)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | -inf | ((/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (/ y t) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (neg z) (* t 2) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (+ (* (/ (+ y x) t) 1/2) (* z (/ -1/2 t))) (* z (/ -1/2 t)) (/ -1/2 t)) |
| 2.0ms | t | @ | -inf | ((/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (/ y t) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (neg z) (* t 2) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (+ (* (/ (+ y x) t) 1/2) (* z (/ -1/2 t))) (* z (/ -1/2 t)) (/ -1/2 t)) |
| 2.0ms | t | @ | 0 | ((/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (/ y t) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (neg z) (* t 2) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (+ (* (/ (+ y x) t) 1/2) (* z (/ -1/2 t))) (* z (/ -1/2 t)) (/ -1/2 t)) |
| 2.0ms | t | @ | inf | ((/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (/ y t) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (neg z) (* t 2) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (+ (* (/ (+ y x) t) 1/2) (* z (/ -1/2 t))) (* z (/ -1/2 t)) (/ -1/2 t)) |
| 1.0ms | z | @ | inf | ((/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (/ y t) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (neg z) (* t 2) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (+ (* (/ (+ y x) t) 1/2) (* z (/ -1/2 t))) (* z (/ -1/2 t)) (/ -1/2 t)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 177 | 448 |
| 1 | 547 | 448 |
| 2 | 1631 | 398 |
| 3 | 5116 | 396 |
| 0 | 8510 | 391 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(* 1/2 (/ y t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(/ y t) |
(+ (/ x t) (/ y t)) |
(- y z) |
(- (+ x y) z) |
(* -1 z) |
(- x z) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(* 1/2 (/ x t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(/ x t) |
(* x (+ (/ 1 t) (/ y (* t x)))) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ (* -1/2 (/ z (* t x))) (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1 (/ y (* t x))) (/ 1 t)))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) x)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))) |
(* y (+ (/ 1 t) (/ x (* t y)))) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (+ (* -1/2 (/ z (* t y))) (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ x (* t y))) (/ 1 t)))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) y)) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ x y) |
(+ x (+ y (* -1 z))) |
(+ x (* -1 z)) |
(* -1/2 (/ z t)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (/ x z) 1)) |
(* z (- (* 1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t)))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t))))) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/ (+ x y) t) |
(* 2 t) |
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t) |
(/ -1/2 t) |
(* -1 (/ (+ (* -1/2 (+ x y)) (* 1/2 z)) t)) |
| Outputs |
|---|
(* 1/2 (/ (- y z) t)) |
(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ y t)) |
(*.f64 (/.f64 y t) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) |
(/ y t) |
(/.f64 y t) |
(+ (/ x t) (/ y t)) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 y x)) |
(- y z) |
(-.f64 y z) |
(- (+ x y) z) |
(-.f64 (+.f64 y x) z) |
(* -1 z) |
(neg.f64 z) |
(- x z) |
(-.f64 x z) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) |
(/ x t) |
(/.f64 x t) |
(* x (+ (/ 1 t) (/ y (* t x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 y x)) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(fma.f64 (/.f64 (-.f64 y z) x) x x) |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x z) |
(* x (+ (* -1/2 (/ z (* t x))) (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1 (/ y (* t x))) (/ 1 t)))) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 y x)) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y z) x) x x) |
(* -1 (* x (- (/ z x) 1))) |
(-.f64 x z) |
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- x z) t)) |
(*.f64 (/.f64 (-.f64 x z) t) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) |
(*.f64 (/.f64 (-.f64 x z) t) #s(literal 1/2 binary64)) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) |
(* y (+ (/ 1 t) (/ x (* t y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 y x)) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(fma.f64 (/.f64 (-.f64 x z) y) y y) |
(* y (+ (* -1/2 (/ z (* t y))) (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) |
(* -1 (* y (- (* -1 (/ x (* t y))) (/ 1 t)))) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 y x)) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(fma.f64 (/.f64 (-.f64 x z) y) y y) |
(* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) y)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (+ x y) t)) |
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (* -1 z))) |
(-.f64 (+.f64 y x) z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(* -1/2 (/ z t)) |
(*.f64 (/.f64 z t) #s(literal -1/2 binary64)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(fma.f64 (/.f64 y z) z (-.f64 x z)) |
(* z (- (/ x z) 1)) |
(-.f64 x z) |
(* z (- (* 1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(-.f64 (+.f64 y x) z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 x z) |
(* -1 (* z (+ (* -1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(/ (+ x y) t) |
(/.f64 (+.f64 y x) t) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(* -1 (/ (+ (* -1/2 (+ x y)) (* 1/2 z)) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 118 |
| 0 | 37 | 118 |
| 1 | 152 | 118 |
| 2 | 1175 | 118 |
| 0 | 8361 | 118 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ y x) t) (/.f64 y t)) |
(/.f64 y t) |
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (- (+ x y) z) (neg.f64 z)) |
(neg.f64 z) |
(*.f64 t #s(literal 2 binary64)) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (- (+ x y) z) (-.f64 x z)) |
(-.f64 x z) |
(fma.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) |
(*.f64 z (/.f64 #s(literal -1/2 binary64) t)) |
(/.f64 #s(literal -1/2 binary64) t) |
| Outputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t))) |
(*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ y x) t) (/.f64 y t)) |
(*.f64 (pow.f64 (/.f64 t y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t y) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 t y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) t)) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) y) |
(*.f64 #s(literal 1 binary64) (/.f64 y t)) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 y (pow.f64 t #s(literal -1 binary64))) |
(pow.f64 (/.f64 t y) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 t y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 t y)) |
(/.f64 (neg.f64 y) (neg.f64 t)) |
(/.f64 y t) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) t))) |
(neg.f64 (/.f64 (neg.f64 y) t)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 (neg.f64 y) t)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) t)) |
(exp.f64 (*.f64 (log.f64 (/.f64 t y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) #s(approx (- (+ x y) z) (neg.f64 z))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) #s(approx (- (+ x y) z) (neg.f64 z))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(approx (- (+ x y) z) (neg.f64 z)) #s(literal 1/2 binary64)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) #s(literal -2 binary64))) |
(*.f64 (neg.f64 (/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) t)) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) t) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 t #s(approx (- (+ x y) z) (neg.f64 z)))))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (/.f64 #s(literal -1/2 binary64) t))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (pow.f64 (pow.f64 #s(approx (- (+ x y) z) (neg.f64 z)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (neg.f64 z))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (+ x y) z) (neg.f64 z))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 #s(approx (- (+ x y) z) (neg.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (neg.f64 z)))) |
(*.f64 (neg.f64 #s(approx (- (+ x y) z) (neg.f64 z))) (/.f64 #s(literal -1/2 binary64) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (neg.f64 t))) |
(*.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (/.f64 #s(literal 1/2 binary64) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) t)) |
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) #s(approx (- (+ x y) z) (neg.f64 z))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(approx (- (+ x y) z) (neg.f64 z)) #s(literal 1/2 binary64))) (neg.f64 t)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) t))) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(approx (- (+ x y) z) (neg.f64 z)) #s(literal 1/2 binary64)) t) |
(/.f64 (neg.f64 (/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) t)) #s(literal -2 binary64)) |
(/.f64 (/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) t) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 t #s(approx (- (+ x y) z) (neg.f64 z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 #s(approx (- (+ x y) z) (neg.f64 z)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 t #s(approx (- (+ x y) z) (neg.f64 z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) t) #s(approx (- (+ x y) z) (neg.f64 z)))) |
(/.f64 (neg.f64 #s(approx (- (+ x y) z) (neg.f64 z))) (*.f64 #s(literal -2 binary64) t)) |
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 #s(literal 2 binary64) t)) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (/.f64 #s(literal -1/2 binary64) t)))) |
(neg.f64 (*.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (/.f64 #s(literal -1/2 binary64) t))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) t)) (*.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (/.f64 #s(literal -1/2 binary64) t))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (/.f64 #s(literal -1/2 binary64) t))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) #s(approx (- (+ x y) z) (neg.f64 z)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- (+ x y) z) (neg.f64 z)))) |
(*.f64 #s(literal 1 binary64) #s(approx (- (+ x y) z) (neg.f64 z))) |
(*.f64 #s(approx (- (+ x y) z) (neg.f64 z)) #s(literal 1 binary64)) |
#s(approx (- (+ x y) z) (neg.f64 z)) |
(neg.f64 (neg.f64 #s(approx (- (+ x y) z) (neg.f64 z)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- (+ x 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) z) |
(/.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 #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 (*.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)) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) #s(literal 2 binary64)))))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)) (/.f64 z (*.f64 #s(literal 2 binary64) t)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)) (/.f64 z (*.f64 #s(literal 2 binary64) t))) (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)) (/.f64 z (*.f64 #s(literal 2 binary64) t))) (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)) (/.f64 z (*.f64 #s(literal 2 binary64) t))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 2 binary64)))) (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)) (/.f64 z (*.f64 #s(literal 2 binary64) t)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)))) (-.f64 (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 z #s(literal -2 binary64)) (pow.f64 t #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)))) |
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) t) (*.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)))) |
(fma.f64 (/.f64 z (neg.f64 t)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal -1 binary64) t) (*.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)))) |
(fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) (pow.f64 t #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 z (*.f64 #s(literal 2 binary64) t)) (*.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)))) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 z #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (*.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)))) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)) (/.f64 z (*.f64 #s(literal 2 binary64) t))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)) (/.f64 z (*.f64 #s(literal 2 binary64) t)))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) t) z (*.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 t #s(literal -1 binary64)) z) (*.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 z t) (*.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)))) |
(fma.f64 (neg.f64 z) (/.f64 #s(literal 1/2 binary64) t) (*.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 z (neg.f64 t)) (*.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)))) |
(fma.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
(fma.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
(fma.f64 z (/.f64 #s(literal -1/2 binary64) t) (*.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) #s(literal 2 binary64)) (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 2 binary64))) (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)) (/.f64 z (*.f64 #s(literal 2 binary64) t)))) (/.f64 (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)) (/.f64 z (*.f64 #s(literal 2 binary64) t))))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)) (/.f64 z (*.f64 #s(literal 2 binary64) t)))) (neg.f64 (/.f64 (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)) (/.f64 z (*.f64 #s(literal 2 binary64) t)))))) |
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (*.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t))) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
(*.f64 (/.f64 z #s(literal -2 binary64)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) t)) |
(*.f64 (/.f64 z (neg.f64 t)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (/.f64 z t) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) z) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 #s(literal 2 binary64) t))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 z #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 t #s(literal -1 binary64)) z)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 z t)) |
(*.f64 (neg.f64 z) (/.f64 #s(literal 1/2 binary64) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 z (neg.f64 t))) |
(*.f64 z (/.f64 #s(literal -1/2 binary64) t)) |
(pow.f64 (/.f64 t (*.f64 #s(literal -1/2 binary64) z)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) z)) t) |
(/.f64 (*.f64 #s(literal 1/2 binary64) z) (neg.f64 t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (*.f64 #s(literal -1/2 binary64) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (*.f64 #s(literal -1/2 binary64) z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) t) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 #s(literal -1/2 binary64) z))) |
(/.f64 (neg.f64 z) (*.f64 #s(literal 2 binary64) t)) |
(/.f64 z (*.f64 #s(literal -2 binary64) t)) |
(neg.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t))) |
(-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 #s(literal 2 binary64) t))) |
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) t) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) t) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) t)) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) t)) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) t)) |
(pow.f64 (*.f64 #s(literal -2 binary64) t) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) t)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) t)) |
(/.f64 #s(literal -1/2 binary64) t) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 t)) |
(neg.f64 (/.f64 #s(literal 1/2 binary64) t)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) t)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) t)) #s(literal -1 binary64))) |
Compiled 7 254 to 855 computations (88.2% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 321 | 1 | 322 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 1 | 4 | 5 |
| Total | 322 | 9 | 331 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 66.2% | (fma.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) |
| ▶ | 65.2% | (fma.f64 #s(approx (/ (+ y x) t) (/.f64 x t)) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) |
| ✓ | 68.3% | (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
| ✓ | 66.9% | (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
| ✓ | 35.8% | (/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) |
| ✓ | 71.3% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
| ✓ | 38.0% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
| ✓ | 35.7% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
| ✓ | 38.2% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
Compiled 138 to 115 computations (16.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (/.f64 #s(literal -1/2 binary64) t)) | |
| cost-diff | 0 | (/.f64 x t) | |
| cost-diff | 0 | #s(approx (/ (+ y x) t) (/.f64 x t)) | |
| cost-diff | 0 | (fma.f64 #s(approx (/ (+ y x) t) (/.f64 x t)) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 41 |
| 0 | 18 | 41 |
| 1 | 24 | 41 |
| 2 | 26 | 41 |
| 3 | 28 | 41 |
| 4 | 29 | 41 |
| 0 | 29 | 41 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 #s(approx (/ (+ y x) t) (/.f64 x t)) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) |
#s(approx (/ (+ y x) t) (/.f64 x t)) |
(/.f64 x t) |
x |
t |
#s(literal 1/2 binary64) |
(*.f64 z (/.f64 #s(literal -1/2 binary64) t)) |
z |
(/.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(fma.f64 #s(approx (/ (+ y x) t) (/.f64 x t)) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) |
(fma.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 x t)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#s(approx (/ (+ y x) t) (/.f64 x t)) |
(/.f64 x t) |
x |
t |
#s(literal 1/2 binary64) |
(*.f64 z (/.f64 #s(literal -1/2 binary64) t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
z |
(/.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal -1/2 binary64) t) | |
| accuracy | 0.1640625 | (*.f64 z (/.f64 #s(literal -1/2 binary64) t)) | |
| accuracy | 1.3085896216604118 | (fma.f64 #s(approx (/ (+ y x) t) (/.f64 x t)) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) | |
| accuracy | 30.262298553387886 | #s(approx (/ (+ y x) t) (/.f64 x t)) |
| 23.0ms | 256× | 0 | valid |
Compiled 77 to 28 computations (63.6% saved)
ival-div: 5.0ms (43.8% of total)ival-add: 3.0ms (26.3% of total)ival-mult: 3.0ms (26.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 #s(approx (/ (+ y x) t) (/.f64 x t)) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) |
#s(approx (/ (+ y x) t) (/.f64 x t)) |
(/.f64 x t) |
(*.f64 z (/.f64 #s(literal -1/2 binary64) t)) |
(/.f64 #s(literal -1/2 binary64) t) |
| Outputs |
|---|
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(/ y t) |
(+ (/ x t) (/ y t)) |
(/ x t) |
(* 1/2 (/ x t)) |
(* x (+ (* -1/2 (/ z (* t x))) (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(* x (+ (/ 1 t) (/ y (* t x)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1 (/ y (* t x))) (/ 1 t)))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) |
(* 1/2 (/ y t)) |
(* y (+ (* -1/2 (/ z (* t y))) (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(* y (+ (/ 1 t) (/ x (* t y)))) |
(* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ x (* t y))) (/ 1 t)))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(* -1/2 (/ z t)) |
(* z (- (* 1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t)))) |
(* -1 (* z (+ (* -1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t))))) |
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t) |
(/ (+ x y) t) |
(/ -1/2 t) |
(* -1 (/ (+ (* -1/2 (+ x y)) (* 1/2 z)) t)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | -inf | ((+ (* (/ (+ y x) t) 1/2) (* z (/ -1/2 t))) (/ (+ y x) t) (/ x t) (* z (/ -1/2 t)) (/ -1/2 t)) |
| 1.0ms | t | @ | 0 | ((+ (* (/ (+ y x) t) 1/2) (* z (/ -1/2 t))) (/ (+ y x) t) (/ x t) (* z (/ -1/2 t)) (/ -1/2 t)) |
| 1.0ms | t | @ | inf | ((+ (* (/ (+ y x) t) 1/2) (* z (/ -1/2 t))) (/ (+ y x) t) (/ x t) (* z (/ -1/2 t)) (/ -1/2 t)) |
| 1.0ms | x | @ | inf | ((+ (* (/ (+ y x) t) 1/2) (* z (/ -1/2 t))) (/ (+ y x) t) (/ x t) (* z (/ -1/2 t)) (/ -1/2 t)) |
| 1.0ms | x | @ | -inf | ((+ (* (/ (+ y x) t) 1/2) (* z (/ -1/2 t))) (/ (+ y x) t) (/ x t) (* z (/ -1/2 t)) (/ -1/2 t)) |
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 245 |
| 1 | 247 | 245 |
| 2 | 727 | 245 |
| 3 | 2204 | 189 |
| 4 | 6154 | 165 |
| 0 | 8160 | 165 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(/ y t) |
(+ (/ x t) (/ y t)) |
(/ x t) |
(* 1/2 (/ x t)) |
(* x (+ (* -1/2 (/ z (* t x))) (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(* x (+ (/ 1 t) (/ y (* t x)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1 (/ y (* t x))) (/ 1 t)))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) |
(* 1/2 (/ y t)) |
(* y (+ (* -1/2 (/ z (* t y))) (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(* y (+ (/ 1 t) (/ x (* t y)))) |
(* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ x (* t y))) (/ 1 t)))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(* -1/2 (/ z t)) |
(* z (- (* 1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t)))) |
(* -1 (* z (+ (* -1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t))))) |
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t) |
(/ (+ x y) t) |
(/ -1/2 t) |
(* -1 (/ (+ (* -1/2 (+ x y)) (* 1/2 z)) t)) |
| Outputs |
|---|
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)) |
(+ (* -1/2 (/ z t)) (+ (* 1/2 (/ x t)) (* 1/2 (/ y t)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 x y) z)) |
(/ y t) |
(/.f64 y t) |
(+ (/ x t) (/ y t)) |
(/.f64 (+.f64 x y) t) |
(/ x t) |
(/.f64 x t) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) x) |
(* x (+ (* -1/2 (/ z (* t x))) (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 x y) z)) |
(* x (+ (/ 1 t) (/ y (* t x)))) |
(/.f64 (+.f64 x y) t) |
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 x y) z)) |
(* -1 (* x (- (* -1 (/ y (* t x))) (/ 1 t)))) |
(/.f64 (+.f64 x y) t) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) |
(* 1/2 (/ y t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) y) |
(* y (+ (* -1/2 (/ z (* t y))) (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 x y) z)) |
(* y (+ (/ 1 t) (/ x (* t y)))) |
(/.f64 (+.f64 x y) t) |
(* -1 (* y (- (* -1 (/ (+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) y)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 x y) z)) |
(* -1 (* y (- (* -1 (/ x (* t y))) (/ 1 t)))) |
(/.f64 (+.f64 x y) t) |
(* 1/2 (/ (+ x y) t)) |
(*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 x y) z)) |
(* -1/2 (/ z t)) |
(*.f64 (/.f64 z t) #s(literal -1/2 binary64)) |
(* z (- (* 1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 x y) z)) |
(* -1 (* z (+ (* -1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 x y) z)) |
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 x y) z)) |
(/ (+ x y) t) |
(/.f64 (+.f64 x y) t) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(* -1 (/ (+ (* -1/2 (+ x y)) (* 1/2 z)) t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 x y) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 36 |
| 0 | 18 | 36 |
| 1 | 67 | 36 |
| 2 | 458 | 36 |
| 3 | 5134 | 36 |
| 0 | 8409 | 36 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 #s(approx (/ (+ y x) t) (/.f64 x t)) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) |
#s(approx (/ (+ y x) t) (/.f64 x t)) |
(/.f64 x t) |
(*.f64 z (/.f64 #s(literal -1/2 binary64) t)) |
(/.f64 #s(literal -1/2 binary64) t) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 x t)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 x t)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 x t)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 x t)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 x t)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 x t)) #s(literal 4 binary64))) (pow.f64 (*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 x t)))) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 x t)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) t) (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 x t))))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 x t)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #s(literal 3 binary64))) (fma.f64 (pow.f64 #s(approx (/ (+ y x) t) (/.f64 x t)) #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 x t)))) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 x t)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 x t)))) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (-.f64 (*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 x t)))) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (*.f64 #s(literal 1/4 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 x t)) #s(literal 2 binary64))))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 x t)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 x t)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 x t)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 x t)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 x t)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 x t)) (/.f64 (*.f64 z #s(literal 1/2 binary64)) t)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 x t)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (fma.f64 #s(approx (/ (+ y x) t) (/.f64 x t)) (-.f64 (*.f64 #s(literal 1/4 binary64) #s(approx (/ (+ y x) t) (/.f64 x t))) (*.f64 #s(literal -1/4 binary64) (/.f64 z t))) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 x t)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 x t)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #s(literal 2 binary64))))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 x t)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 x t)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 #s(approx (/ (+ y x) t) (/.f64 x t)) (-.f64 (*.f64 #s(literal 1/4 binary64) #s(approx (/ (+ y x) t) (/.f64 x t))) (*.f64 #s(literal -1/4 binary64) (/.f64 z t))) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 #s(approx (/ (+ y x) t) (/.f64 x t)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 x t)) (/.f64 (*.f64 z #s(literal 1/2 binary64)) t)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 x t)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))) |
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(*.f64 z (/.f64 #s(literal -1/2 binary64) t)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 z (neg.f64 t))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) t) z)) |
(pow.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) z) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) z) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) #s(literal 1 binary64)) |
(/.f64 (exp.f64 (log.f64 (*.f64 z #s(literal 1/2 binary64)))) (exp.f64 (log.f64 (neg.f64 t)))) |
(/.f64 (exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) z))) t) |
(/.f64 (exp.f64 (log.f64 z)) (*.f64 #s(literal -2 binary64) t)) |
(/.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal -1 binary64)) t) |
(/.f64 (neg.f64 (*.f64 z #s(literal 1/2 binary64))) t) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal -1 binary64)) (neg.f64 t)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)) t) |
(/.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 (/.f64 z t) #s(literal -2 binary64)) |
(/.f64 (neg.f64 z) (*.f64 t #s(literal 2 binary64))) |
(/.f64 (*.f64 z #s(literal 1/2 binary64)) (neg.f64 t)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) z))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) t) z)) |
(/.f64 z (*.f64 #s(literal -2 binary64) t)) |
(neg.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) t)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) z)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))) |
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) t) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) t) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) t)) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) t)) |
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) t) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) t) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 #s(literal -2 binary64) t) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -1/2 binary64) t) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 t #s(literal 2 binary64))) |
(/.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) t)) |
(/.f64 #s(literal -1/2 binary64) t) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 t)) |
(neg.f64 (/.f64 #s(literal 1/2 binary64) t)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) t)) |
(exp.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) t))) |
Compiled 6 287 to 572 computations (90.9% saved)
9 alts after pruning (0 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 193 | 0 | 193 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 8 | 8 |
| Total | 193 | 9 | 202 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 66.2% | (fma.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) |
| ✓ | 65.2% | (fma.f64 #s(approx (/ (+ y x) t) (/.f64 x t)) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) |
| ✓ | 68.3% | (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
| ✓ | 66.9% | (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
| ✓ | 35.8% | (/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) |
| ✓ | 71.3% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
| ✓ | 38.0% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
| ✓ | 35.7% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
| ✓ | 38.2% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
Compiled 312 to 164 computations (47.4% saved)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(fma.f64 #s(approx (/ (+ y x) t) (/.f64 x t)) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) |
(fma.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) |
(fma.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))) |
| Outputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
8 calls:
| 6.0ms | (-.f64 (+.f64 x y) z) |
| 6.0ms | x |
| 4.0ms | (*.f64 t #s(literal 2 binary64)) |
| 4.0ms | t |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | t |
| 100.0% | 1 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 100.0% | 1 | (-.f64 (+.f64 x y) z) |
| 100.0% | 1 | (+.f64 x y) |
| 100.0% | 1 | (*.f64 t #s(literal 2 binary64)) |
Compiled 24 to 42 computations (-75% saved)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
8 calls:
| 8.0ms | y |
| 3.0ms | x |
| 3.0ms | (*.f64 t #s(literal 2 binary64)) |
| 3.0ms | (+.f64 x y) |
| 3.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.3% | 2 | x |
| 91.7% | 2 | y |
| 92.7% | 4 | z |
| 75.0% | 2 | t |
| 98.6% | 2 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 98.6% | 2 | (-.f64 (+.f64 x y) z) |
| 98.7% | 2 | (+.f64 x y) |
| 75.0% | 2 | (*.f64 t #s(literal 2 binary64)) |
Compiled 24 to 42 computations (-75% saved)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
5 calls:
| 45.0ms | x |
| 3.0ms | (+.f64 x y) |
| 3.0ms | y |
| 3.0ms | (-.f64 (+.f64 x y) z) |
| 3.0ms | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.2% | 2 | x |
| 88.7% | 2 | y |
| 85.3% | 2 | (-.f64 (+.f64 x y) z) |
| 84.9% | 2 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 90.0% | 2 | (+.f64 x y) |
Compiled 19 to 28 computations (-47.4% saved)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) |
5 calls:
| 3.0ms | z |
| 3.0ms | (+.f64 x y) |
| 3.0ms | (-.f64 (+.f64 x y) z) |
| 3.0ms | y |
| 3.0ms | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.3% | 1 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 71.3% | 1 | (-.f64 (+.f64 x y) z) |
| 71.3% | 1 | y |
| 86.3% | 3 | z |
| 80.6% | 3 | (+.f64 x y) |
Compiled 19 to 28 computations (-47.4% saved)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
3 calls:
| 5.0ms | z |
| 2.0ms | x |
| 2.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.3% | 3 | (+.f64 x y) |
| 69.0% | 3 | x |
| 61.7% | 4 | z |
Compiled 5 to 13 computations (-160% saved)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
1 calls:
| 2.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.2% | 3 | (+.f64 x y) |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
| Outputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
8 calls:
| 5.0ms | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 2.0ms | t |
| 2.0ms | (*.f64 t #s(literal 2 binary64)) |
| 2.0ms | (+.f64 x y) |
| 2.0ms | (-.f64 (+.f64 x y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.9% | 3 | z |
| 48.7% | 2 | x |
| 56.0% | 2 | y |
| 53.1% | 2 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 53.5% | 2 | (-.f64 (+.f64 x y) z) |
| 41.7% | 2 | t |
| 41.7% | 2 | (*.f64 t #s(literal 2 binary64)) |
| 57.9% | 2 | (+.f64 x y) |
Compiled 24 to 42 computations (-75% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
8 calls:
| 3.0ms | x |
| 1.0ms | (*.f64 t #s(literal 2 binary64)) |
| 1.0ms | (-.f64 (+.f64 x y) z) |
| 1.0ms | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 1.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.2% | 1 | t |
| 38.2% | 1 | (*.f64 t #s(literal 2 binary64)) |
| 38.2% | 1 | x |
| 38.2% | 1 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 38.2% | 1 | (-.f64 (+.f64 x y) z) |
| 38.2% | 1 | y |
| 38.2% | 1 | z |
| 38.2% | 1 | (+.f64 x y) |
Compiled 24 to 42 computations (-75% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.8427854469541845e-128 | -2.1050751226721816e-130 |
Compiled 12 to 16 computations (-33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.819341782208416e-45 | 1.4183493627262892e-44 |
Compiled 12 to 16 computations (-33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 7.924405191710334e+112 | 7.361338719648059e+114 |
| 13.0ms | -2.1273577579286415e+55 | -7.84477787315451e+46 |
| 24.0ms | 256× | 0 | valid |
Compiled 476 to 448 computations (5.9% saved)
ival-div: 2.0ms (32% of total)ival-add: 2.0ms (32% of total)ival-sub: 1.0ms (16% of total)ival-mult: 1.0ms (16% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.819341782208416e-45 | 1.4183493627262892e-44 |
| 0.0ms | -5.238186660999002e+70 | -9.413089076861473e+68 |
Compiled 12 to 16 computations (-33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.819341782208416e-45 | 1.4183493627262892e-44 |
| 0.0ms | -5.238186660999002e+70 | -9.413089076861473e+68 |
Compiled 12 to 16 computations (-33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.819341782208416e-45 | 1.4183493627262892e-44 |
Compiled 12 to 16 computations (-33.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 312 |
| 1 | 71 | 312 |
| 2 | 76 | 312 |
| 3 | 77 | 312 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(if (<=.f64 (+.f64 x y) #s(literal -7804371375789981/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))) |
(if (<=.f64 (+.f64 x y) #s(literal 8034690221294951/1606938044258990275541962092341162602522202993782792835301376 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)))) |
(if (<=.f64 z #s(literal -21000000000000000623275247733705730298288744002303819776 binary64)) (/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) (if (<=.f64 z #s(literal 409999999999999992709043583187581112621823653252501654224296994894064122616483548276437764869069933400287218761728 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) (/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))))) |
(if (<=.f64 (+.f64 x y) #s(literal -50000000000000002094076278210572897949571693332016914157171385590349824 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 8034690221294951/1606938044258990275541962092341162602522202993782792835301376 binary64)) (/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))))) |
(if (<=.f64 (+.f64 x y) #s(literal -50000000000000002094076278210572897949571693332016914157171385590349824 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 8034690221294951/1606938044258990275541962092341162602522202993782792835301376 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))))) |
(if (<=.f64 (+.f64 x y) #s(literal 8034690221294951/1606938044258990275541962092341162602522202993782792835301376 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(/.f64 (-.f64 (+.f64 y x) z) (*.f64 #s(literal 2 binary64) t)) |
(if (<=.f64 (+.f64 x y) #s(literal -7804371375789981/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))) |
(if (<=.f64 (+.f64 y x) #s(literal -7804371375789981/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 #s(literal 2 binary64) t)) (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 #s(literal 2 binary64) t))) |
(if (<=.f64 (+.f64 x y) #s(literal 8034690221294951/1606938044258990275541962092341162602522202993782792835301376 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)))) |
(if (<=.f64 (+.f64 y x) #s(literal 8034690221294951/1606938044258990275541962092341162602522202993782792835301376 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 #s(literal 2 binary64) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y x) t)))) |
(if (<=.f64 z #s(literal -21000000000000000623275247733705730298288744002303819776 binary64)) (/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) (if (<=.f64 z #s(literal 409999999999999992709043583187581112621823653252501654224296994894064122616483548276437764869069933400287218761728 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) (/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))))) |
(if (<=.f64 z #s(literal -21000000000000000623275247733705730298288744002303819776 binary64)) (/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 #s(literal 2 binary64) t)) (if (<=.f64 z #s(literal 409999999999999992709043583187581112621823653252501654224296994894064122616483548276437764869069933400287218761728 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y x) t))) (/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 #s(literal 2 binary64) t)))) |
(if (<=.f64 (+.f64 x y) #s(literal -50000000000000002094076278210572897949571693332016914157171385590349824 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 8034690221294951/1606938044258990275541962092341162602522202993782792835301376 binary64)) (/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))))) |
(if (<=.f64 (+.f64 y x) #s(literal -50000000000000002094076278210572897949571693332016914157171385590349824 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 y x) #s(literal 8034690221294951/1606938044258990275541962092341162602522202993782792835301376 binary64)) (/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 #s(literal 2 binary64) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))))) |
(if (<=.f64 (+.f64 x y) #s(literal -50000000000000002094076278210572897949571693332016914157171385590349824 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 8034690221294951/1606938044258990275541962092341162602522202993782792835301376 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))))) |
(if (<=.f64 (+.f64 y x) #s(literal -50000000000000002094076278210572897949571693332016914157171385590349824 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 y x) #s(literal 8034690221294951/1606938044258990275541962092341162602522202993782792835301376 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))))) |
(if (<=.f64 (+.f64 x y) #s(literal 8034690221294951/1606938044258990275541962092341162602522202993782792835301376 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))) |
(if (<=.f64 (+.f64 y x) #s(literal 8034690221294951/1606938044258990275541962092341162602522202993782792835301376 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 544 |
| 1 | 582 | 544 |
| 2 | 1716 | 402 |
| 3 | 5620 | 400 |
| 0 | 8385 | 397 |
| 0 | 103 | 214 |
| 1 | 314 | 214 |
| 2 | 876 | 214 |
| 3 | 2921 | 194 |
| 4 | 7529 | 194 |
| 0 | 8723 | 194 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 365 to 166 computations (54.5% saved)
(sort x y)
(negabs t)
Compiled 714 to 206 computations (71.1% saved)
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