
Time bar (total: 4.3s)
| 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)
| 369.0ms | 8 256× | 0 | valid |
ival-div: 51.0ms (26.9% of total)ival-mult: 47.0ms (24.7% of total)ival-add: 43.0ms (22.6% of total)ival-sub: 35.0ms (18.4% of total)ival-true: 6.0ms (3.2% of total)exact: 5.0ms (2.6% of total)ival-assert: 3.0ms (1.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 2 | 0 | - | 2 | (-4.2683134075220084e-125 2.7877588269768097e+125 1.1185684556256642e+262 -1.6646396993757524e+308) | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 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 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 2 |
| - | 0 | 254 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 2 |
| - | 0 | 0 | 254 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 1 |
| - | 0 | 0 | 0 |
| 28.0ms | 512× | 0 | valid |
Compiled 113 to 52 computations (54% saved)
ival-div: 3.0ms (24.5% of total)ival-add: 3.0ms (24.5% of total)ival-mult: 3.0ms (24.5% of total)ival-sub: 2.0ms (16.3% 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 |
|---|---|---|
| ▶ | 99.2% | (/.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 | 0.4844792048905089 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 14.0ms | 256× | 0 | valid |
Compiled 52 to 20 computations (61.5% saved)
ival-div: 2.0ms (34.2% of total)ival-sub: 1.0ms (17.1% of total)ival-add: 1.0ms (17.1% of total)ival-mult: 1.0ms (17.1% 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 | |
|---|---|---|---|---|
| 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)) |
| 1.0ms | t | @ | 0 | ((/ (- (+ 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)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 509 | 9 | 518 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 509 | 10 | 519 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.2% | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| ▶ | 70.7% | (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
| 36.0% | (/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) | |
| 98.1% | (-.f64 (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) (/.f64 z (*.f64 #s(literal 2 binary64) t))) | |
| ▶ | 99.7% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) |
| 66.4% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64))) | |
| ▶ | 68.4% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
| ▶ | 39.2% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
| 34.0% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) | |
| ▶ | 36.2% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
Compiled 261 to 229 computations (12.3% 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 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 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 y x) | |
| cost-diff | 0 | (-.f64 (+.f64 y x) z) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) t) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 145 |
| 0 | 41 | 145 |
| 1 | 72 | 145 |
| 2 | 141 | 145 |
| 3 | 241 | 145 |
| 4 | 384 | 145 |
| 5 | 640 | 145 |
| 6 | 1241 | 145 |
| 7 | 2553 | 145 |
| 8 | 4253 | 145 |
| 9 | 5938 | 145 |
| 10 | 7551 | 145 |
| 11 | 7622 | 145 |
| 12 | 7649 | 145 |
| 13 | 7667 | 145 |
| 14 | 7861 | 145 |
| 0 | 8029 | 145 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
(-.f64 (+.f64 y x) z) |
(+.f64 y x) |
y |
x |
z |
#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 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) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) |
(*.f64 (-.f64 (-.f64 z x) y) (/.f64 #s(literal -1/2 binary64) t)) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
(-.f64 (+.f64 y x) z) |
(-.f64 (+.f64 x y) z) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
z |
#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 z t) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(*.f64 (/.f64 z t) #s(literal -1/2 binary64)) |
(/.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 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (+.f64 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 #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) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x z) | |
| accuracy | 0 | (*.f64 t #s(literal 2 binary64)) | |
| accuracy | 0.4844792048905089 | (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) | |
| accuracy | 19.70092439241187 | #s(approx (- (+ x y) z) (-.f64 x z)) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0 | (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) | |
| accuracy | 0.0078125 | (/.f64 (+.f64 y x) t) | |
| accuracy | 20.227424683816704 | #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 | (*.f64 (/.f64 x t) #s(literal 1/2 binary64)) | |
| accuracy | 38.88481198212276 | #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 | 0.244472509768442 | (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) | |
| accuracy | 40.744401326202784 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) | |
| accuracy | 0 | (/.f64 #s(literal 1/2 binary64) t) | |
| accuracy | 0 | (-.f64 (+.f64 y x) z) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.193691259768442 | (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) |
| 43.0ms | 256× | 0 | valid |
Compiled 264 to 53 computations (79.9% saved)
ival-div: 9.0ms (36.9% of total)ival-mult: 8.0ms (32.8% of total)ival-sub: 4.0ms (16.4% of total)ival-add: 3.0ms (12.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) |
(/.f64 #s(literal 1/2 binary64) t) |
(-.f64 (+.f64 y x) z) |
(+.f64 y x) |
#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 (+.f64 y x) t) |
(/.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) |
(*.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 t) |
(* 1/2 (/ y t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(/ y t) |
(+ (/ x t) (/ y t)) |
(* -1 z) |
(- x z) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (+ 1 (/ y x))) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(* x (+ (/ 1 t) (/ y (* t x)))) |
(* x (+ 1 (* -1 (/ z 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 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1 (/ y (* t x))) (/ 1 t)))) |
(* -1 (* x (- (/ z x) 1))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (+ 1 (/ x y))) |
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))) |
(* y (+ (/ 1 t) (/ x (* t 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 (* y (- (* -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))) |
(+ x (+ y (* -1 z))) |
(* -1/2 (/ z t)) |
(+ x (* -1 z)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (/ x z) 1)) |
(* -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))))) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/ 1/2 t) |
(/ -1/2 t) |
(/ (+ x y) t) |
(* 2 t) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | t | @ | inf | ((* (/ 1/2 t) (- (+ y x) z)) (/ 1/2 t) (- (+ y x) z) (+ y x) (/ (- (+ 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) (/ (+ y x) t) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (* t 2)) |
| 3.0ms | t | @ | 0 | ((* (/ 1/2 t) (- (+ y x) z)) (/ 1/2 t) (- (+ y x) z) (+ y x) (/ (- (+ 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) (/ (+ y x) t) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (* t 2)) |
| 3.0ms | x | @ | 0 | ((* (/ 1/2 t) (- (+ y x) z)) (/ 1/2 t) (- (+ y x) z) (+ y x) (/ (- (+ 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) (/ (+ y x) t) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (* t 2)) |
| 3.0ms | t | @ | -inf | ((* (/ 1/2 t) (- (+ y x) z)) (/ 1/2 t) (- (+ y x) z) (+ y x) (/ (- (+ 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) (/ (+ y x) t) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (* t 2)) |
| 2.0ms | x | @ | -inf | ((* (/ 1/2 t) (- (+ y x) z)) (/ 1/2 t) (- (+ y x) z) (+ y x) (/ (- (+ 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) (/ (+ y x) t) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (* t 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 338 |
| 1 | 464 | 338 |
| 2 | 1332 | 326 |
| 3 | 4280 | 306 |
| 4 | 7500 | 294 |
| 0 | 8135 | 292 |
| 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 t) |
(* 1/2 (/ y t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(/ y t) |
(+ (/ x t) (/ y t)) |
(* -1 z) |
(- x z) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (+ 1 (/ y x))) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(* x (+ (/ 1 t) (/ y (* t x)))) |
(* x (+ 1 (* -1 (/ z 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 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1 (/ y (* t x))) (/ 1 t)))) |
(* -1 (* x (- (/ z x) 1))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (+ 1 (/ x y))) |
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))) |
(* y (+ (/ 1 t) (/ x (* t 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 (* y (- (* -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))) |
(+ x (+ y (* -1 z))) |
(* -1/2 (/ z t)) |
(+ x (* -1 z)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (/ x z) 1)) |
(* -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))))) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/ 1/2 t) |
(/ -1/2 t) |
(/ (+ x y) 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 x y) z) t) #s(literal 1/2 binary64)) |
(- y z) |
(-.f64 y z) |
(- (+ x y) z) |
(-.f64 (+.f64 x y) z) |
y |
(+ x y) |
(+.f64 x y) |
(* 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 t) |
(/.f64 y t) |
(+ (/ x t) (/ y t)) |
(/.f64 (+.f64 x y) t) |
(* -1 z) |
(neg.f64 z) |
(- x z) |
(-.f64 x z) |
(* 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 |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(-.f64 (+.f64 x y) z) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) |
(* x (+ (/ 1 t) (/ y (* t x)))) |
(/.f64 (+.f64 x y) t) |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x z) |
(* -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 (/ (- y z) x)) 1))) |
(-.f64 (+.f64 x y) z) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -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 (* t x))) (/ 1 t)))) |
(/.f64 (+.f64 x y) t) |
(* -1 (* x (- (/ z x) 1))) |
(-.f64 x z) |
(* 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)) |
(* 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 (/ x y)) (/ z y))) |
(fma.f64 (/.f64 (-.f64 x z) y) y y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) |
(* y (+ (/ 1 t) (/ x (* t y)))) |
(/.f64 (+.f64 x y) t) |
(* -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 (/ (- x z) y)) 1))) |
(fma.f64 (/.f64 (-.f64 x z) y) y y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -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 (* 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 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64)) |
(+ x (+ y (* -1 z))) |
(-.f64 (+.f64 x y) z) |
(* -1/2 (/ z t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(* 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)) |
(-.f64 (+.f64 x y) z) |
(* z (- (/ x z) 1)) |
(-.f64 x z) |
(* -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 (/ x z))))) |
(-.f64 x z) |
(* 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) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(/ (+ x y) t) |
(/.f64 (+.f64 x y) t) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 123 |
| 0 | 41 | 123 |
| 1 | 162 | 123 |
| 2 | 1137 | 123 |
| 0 | 8434 | 123 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) |
(/.f64 #s(literal 1/2 binary64) t) |
(-.f64 (+.f64 y x) z) |
(+.f64 y x) |
#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 (+.f64 y x) t) |
(/.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) |
(*.f64 t #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 t (-.f64 (+.f64 x y) z))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 t (-.f64 (+.f64 x y) z))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) t)) |
(*.f64 (/.f64 (+.f64 z (+.f64 x y)) (*.f64 #s(literal 2 binary64) t)) (/.f64 (-.f64 (+.f64 x y) z) (+.f64 z (+.f64 x y)))) |
(*.f64 (/.f64 (fma.f64 z (+.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) t)) (/.f64 (-.f64 (+.f64 x y) z) (fma.f64 z (+.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 z (+.f64 x y)) #s(literal -1 binary64)) t)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) t) (/.f64 (pow.f64 (+.f64 z (+.f64 x y)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 z (+.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) t)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) t) (/.f64 (pow.f64 (fma.f64 z (+.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z))) #s(literal -1 binary64)) (pow.f64 (+.f64 z (+.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 z (+.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (+.f64 x y) z) #s(literal 1/2 binary64)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1/2 binary64) t)) (pow.f64 (+.f64 z (+.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) t)) (pow.f64 (fma.f64 z (+.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 x y) z)) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z))) (pow.f64 (+.f64 z (+.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 z (+.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) t)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal 1/2 binary64) t))))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (-.f64 (+.f64 x y) z) #s(literal -2 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) t)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) t)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) (*.f64 z (/.f64 #s(literal 1/2 binary64) t))))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) z) t) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z (+.f64 x y)) (neg.f64 t)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z (+.f64 x y)) t))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (+.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (neg.f64 t)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (+.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) t))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (+.f64 z (+.f64 x y))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (fma.f64 z (+.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 t (+.f64 z (+.f64 x y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 t (fma.f64 z (+.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))) |
(*.f64 (fma.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) t) (*.f64 (*.f64 #s(literal -2 binary64) t) z)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 x y) z) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z (+.f64 x y)) (*.f64 #s(literal 2 binary64) t)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 z (+.f64 x y))))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (+.f64 x y) z)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 (-.f64 (+.f64 x y) z) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (+.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) t)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) t) (fma.f64 z (+.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) z) (/.f64 #s(literal -1/2 binary64) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) z) t)) |
(*.f64 (-.f64 (+.f64 x y) z) (/.f64 #s(literal 1/2 binary64) t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 x y) z)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 t #s(literal -1 binary64)) (-.f64 (+.f64 x y) z))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 x y) z) t)) |
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 t (-.f64 (+.f64 x y) z))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) t)) (*.f64 y (/.f64 #s(literal 1/2 binary64) t))) (*.f64 (*.f64 (-.f64 x z) (/.f64 #s(literal 1/2 binary64) t)) (*.f64 (-.f64 x z) (/.f64 #s(literal 1/2 binary64) t)))) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) t)) (*.f64 (-.f64 x z) (/.f64 #s(literal 1/2 binary64) t)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y))) (*.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)))) |
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(pow.f64 (/.f64 #s(literal 1/2 binary64) t) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) t) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) t)) |
(/.f64 (neg.f64 t) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 #s(literal -2 binary64) t) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)) |
(/.f64 t #s(literal 1/2 binary64)) |
(neg.f64 (*.f64 #s(literal -2 binary64) t)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) t)) |
Compiled 21 833 to 2 859 computations (86.9% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 986 | 4 | 990 |
| Fresh | 2 | 2 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 990 | 10 | 1 000 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.4% | (fma.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) |
| ✓ | 99.2% | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| ✓ | 70.7% | (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
| 70.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) | |
| ▶ | 36.3% | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
| ▶ | 66.4% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64))) |
| ✓ | 68.4% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
| ✓ | 39.2% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
| ▶ | 34.0% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
| ▶ | 34.1% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
Compiled 240 to 203 computations (15.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | (/.f64 (-.f64 y z) t) | |
| cost-diff | 0 | (*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) z) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -1/2 binary64) z) t) | |
| cost-diff | 0 | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) t) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) | |
| cost-diff | 0 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) | |
| 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))) | |
| cost-diff | 0 | (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (/.f64 (+.f64 x y) t) | |
| cost-diff | 896 | (fma.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 169 |
| 0 | 47 | 169 |
| 1 | 74 | 169 |
| 2 | 109 | 169 |
| 3 | 169 | 169 |
| 4 | 300 | 166 |
| 5 | 557 | 166 |
| 6 | 1038 | 166 |
| 7 | 2182 | 166 |
| 8 | 3984 | 166 |
| 9 | 5240 | 166 |
| 10 | 5974 | 166 |
| 11 | 5988 | 166 |
| 12 | 5992 | 166 |
| 13 | 5992 | 166 |
| 14 | 6386 | 166 |
| 15 | 6554 | 166 |
| 16 | 6554 | 166 |
| 17 | 6554 | 166 |
| 0 | 6554 | 166 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) |
(/.f64 (+.f64 x y) t) |
(+.f64 x y) |
x |
y |
t |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 z t) #s(literal -1/2 binary64)) |
(/.f64 z t) |
z |
#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))) |
(*.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) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) y) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
y |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
t |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 y z) t) |
(-.f64 y z) |
y |
z |
t |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(fma.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) |
(*.f64 (-.f64 z (+.f64 y x)) (/.f64 #s(literal -1/2 binary64) t)) |
(/.f64 (+.f64 x y) t) |
(/.f64 (+.f64 y x) t) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
t |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 z t) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 z t)) |
(/.f64 z t) |
z |
#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))) |
(*.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) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) y) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
y |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 z t))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(*.f64 #s(literal -1/2 binary64) (/.f64 z t)) |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
t |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (-.f64 z y) (/.f64 #s(literal -1/2 binary64) t))) |
(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 z y) (/.f64 #s(literal -1/2 binary64) t)) |
(/.f64 (-.f64 y z) t) |
(-.f64 y z) |
y |
z |
t |
#s(literal 1/2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0 | (*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 y z) t) | |
| accuracy | 21.488931491000653 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64))) | |
| accuracy | 0 | (/.f64 (*.f64 #s(literal -1/2 binary64) z) t) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) z) | |
| accuracy | 40.744401326202784 | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) | |
| accuracy | 0 | (/.f64 #s(literal 1/2 binary64) t) | |
| accuracy | 0.217128759768442 | (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) | |
| accuracy | 42.18944526174812 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) | |
| accuracy | 0 | (/.f64 y t) | |
| accuracy | 0 | (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)) | |
| accuracy | 20.227424683816704 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) | |
| accuracy | 29.77470481794098 | #s(approx (/ (+ y x) t) (/.f64 y t)) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0.00390625 | (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) | |
| accuracy | 0.0078125 | (/.f64 (+.f64 x y) t) | |
| accuracy | 0.8476541858302059 | (fma.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) |
| 52.0ms | 256× | 0 | valid |
Compiled 301 to 61 computations (79.7% saved)
ival-div: 14.0ms (43% of total)ival-mult: 11.0ms (33.8% of total)ival-add: 4.0ms (12.3% of total)ival-sub: 3.0ms (9.2% of total)exact: 1.0ms (3.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) |
(/.f64 (+.f64 x y) t) |
(+.f64 x y) |
(*.f64 (/.f64 z 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))) |
(*.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) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) y) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(*.f64 #s(literal -1/2 binary64) z) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 y z) t) |
(-.f64 y z) |
| 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 (/ y t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(* 1/2 (/ x t)) |
(* x (+ (* -1/2 (/ z (* t x))) (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(/ x 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)))) |
(* -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))))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(* -1/2 (/ z t)) |
(* -1 (/ z t)) |
(+ (* -1 (/ z t)) (/ y t)) |
(* -1 z) |
(- y 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 (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))) |
(* y (+ (* -1 (/ z (* t y))) (/ 1 t))) |
(* 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 (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (/ z (* t y)) (/ 1 t)))) |
(* -1 (* y (- (/ z y) 1))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(* -1/2 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 (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))) |
(* z (- (/ y (* t z)) (/ 1 t))) |
(* 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 (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1 (/ y (* t z))) (/ 1 t)))) |
(* -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) |
(/ (- y z) t) |
(* -1 (/ (+ (* -1/2 (+ x y)) (* 1/2 z)) t)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | t | @ | 0 | ((+ (* (/ (+ x y) t) 1/2) (* (/ z t) -1/2)) (/ (+ x y) t) (+ x y) (* (/ z t) -1/2) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (/ y t) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) y) (/ 1/2 t) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (* t 2)) (* (/ (- y z) t) 1/2) (/ (- y z) t) (- y z)) |
| 3.0ms | t | @ | -inf | ((+ (* (/ (+ x y) t) 1/2) (* (/ z t) -1/2)) (/ (+ x y) t) (+ x y) (* (/ z t) -1/2) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (/ y t) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) y) (/ 1/2 t) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (* t 2)) (* (/ (- y z) t) 1/2) (/ (- y z) t) (- y z)) |
| 2.0ms | t | @ | inf | ((+ (* (/ (+ x y) t) 1/2) (* (/ z t) -1/2)) (/ (+ x y) t) (+ x y) (* (/ z t) -1/2) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (/ y t) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) y) (/ 1/2 t) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (* t 2)) (* (/ (- y z) t) 1/2) (/ (- y z) t) (- y z)) |
| 2.0ms | y | @ | -inf | ((+ (* (/ (+ x y) t) 1/2) (* (/ z t) -1/2)) (/ (+ x y) t) (+ x y) (* (/ z t) -1/2) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (/ y t) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) y) (/ 1/2 t) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (* t 2)) (* (/ (- y z) t) 1/2) (/ (- y z) t) (- y z)) |
| 2.0ms | y | @ | inf | ((+ (* (/ (+ x y) t) 1/2) (* (/ z t) -1/2)) (/ (+ x y) t) (+ x y) (* (/ z t) -1/2) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (/ y t) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) y) (/ 1/2 t) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (* t 2)) (* (/ (- y z) t) 1/2) (/ (- y z) t) (- y z)) |
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 187 | 565 |
| 1 | 598 | 565 |
| 2 | 1799 | 407 |
| 3 | 5935 | 407 |
| 0 | 8281 | 407 |
| 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 (/ y t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(* 1/2 (/ x t)) |
(* x (+ (* -1/2 (/ z (* t x))) (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(/ x 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)))) |
(* -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))))) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ x t))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(* -1/2 (/ z t)) |
(* -1 (/ z t)) |
(+ (* -1 (/ z t)) (/ y t)) |
(* -1 z) |
(- y 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 (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))) |
(* y (+ (* -1 (/ z (* t y))) (/ 1 t))) |
(* 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 (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (/ z (* t y)) (/ 1 t)))) |
(* -1 (* y (- (/ z y) 1))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(* -1/2 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 (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))) |
(* z (- (/ y (* t z)) (/ 1 t))) |
(* 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 (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1 (/ y (* t z))) (/ 1 t)))) |
(* -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) |
(/ (- y z) 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 y x) z) 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 |
(+ x y) |
(+.f64 y x) |
(* 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)) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(* 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)) |
(/ 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))) |
(+.f64 y x) |
(* 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)) |
(* -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 (* x (- (* -1 (/ y (* t x))) (/ 1 t)))) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 y x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.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 (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (+.f64 y x) 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)) |
(* 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)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(* -1 (/ z t)) |
(/.f64 (neg.f64 z) t) |
(+ (* -1 (/ z t)) (/ y t)) |
(/.f64 (-.f64 y z) t) |
(* -1 z) |
(neg.f64 z) |
(- y z) |
(-.f64 y z) |
(* 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)) |
(* y (+ (/ 1 t) (/ x (* t y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 y x)) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* 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 (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)) |
(* y (+ (* -1 (/ z (* t y))) (/ 1 t))) |
(/.f64 (-.f64 y z) t) |
(* 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 y x) z) 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 y)) 1))) |
(+.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 (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) |
(* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)) |
(* -1 (* y (- (/ z (* t y)) (/ 1 t)))) |
(/.f64 (-.f64 y z) t) |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(* 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)) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(+ y (* -1 z)) |
(-.f64 y 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)) |
(* 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 (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)) |
(* z (- (/ y (* t z)) (/ 1 t))) |
(/.f64 (-.f64 y z) t) |
(* z (- (/ y z) 1)) |
(-.f64 y 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 (* 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 (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)) |
(* -1 (* z (+ (* -1 (/ y (* t z))) (/ 1 t)))) |
(/.f64 (-.f64 y z) t) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(/ (+ (* -1/2 z) (* 1/2 (+ x y))) t) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(/ (+ x y) t) |
(/.f64 (+.f64 y x) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(/ 1/2 t) |
(/.f64 #s(literal 1/2 binary64) t) |
(/ (- y z) t) |
(/.f64 (-.f64 y z) 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 | 32 | 147 |
| 0 | 47 | 147 |
| 1 | 171 | 147 |
| 2 | 1403 | 147 |
| 0 | 8140 | 147 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) |
(/.f64 (+.f64 x y) t) |
(+.f64 x y) |
(*.f64 (/.f64 z 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))) |
(*.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) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) y) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(*.f64 #s(literal -1/2 binary64) z) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 y z) t) |
(-.f64 y z) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y x) t)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z t)) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) z)) t) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 t (+.f64 y x)) #s(literal -3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z t)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 t (+.f64 y x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z t)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (+.f64 y x) #s(literal 2 binary64))) t))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) z)) t) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y x) t)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z t)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t (+.f64 y x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z t)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (+.f64 y x) #s(literal 2 binary64))) t))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 t (+.f64 y x)) #s(literal -3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z t)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z t)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y x) t)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (+.f64 y x) #s(literal 2 binary64))) t))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y x) t)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z t)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) z)) t)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 t (+.f64 y x)) #s(literal -3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z t)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t (+.f64 y x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z t)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (+.f64 y x) #s(literal 2 binary64))) t)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (/.f64 t (*.f64 #s(literal -1/2 binary64) z)) (*.f64 t #s(literal 1 binary64)))) (neg.f64 (*.f64 t (/.f64 t (*.f64 #s(literal -1/2 binary64) z))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (neg.f64 t) (*.f64 t (*.f64 z #s(literal 1/2 binary64))))) (neg.f64 (*.f64 t (neg.f64 t)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) t (*.f64 t (*.f64 #s(literal -1/2 binary64) z)))) (neg.f64 (*.f64 t t))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) t (*.f64 (/.f64 t (*.f64 #s(literal -1/2 binary64) z)) (*.f64 #s(literal 1/2 binary64) (+.f64 y x))))) (neg.f64 (*.f64 (/.f64 t (*.f64 #s(literal -1/2 binary64) z)) t))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) t (*.f64 (neg.f64 t) (*.f64 #s(literal 1/2 binary64) (+.f64 y x))))) (neg.f64 (*.f64 (neg.f64 t) t))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) t (*.f64 t (*.f64 #s(literal 1/2 binary64) (+.f64 y x))))) (neg.f64 (*.f64 t t))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y x) t)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) z)) t)) (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) z)) t) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z t)) #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) z)) t) (/.f64 (-.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) z)) t))) |
(/.f64 (fma.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) (neg.f64 (neg.f64 t)) (*.f64 t (neg.f64 (*.f64 z #s(literal 1/2 binary64))))) (*.f64 t (neg.f64 (neg.f64 t)))) |
(/.f64 (fma.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) t (*.f64 t (*.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)))) (*.f64 t t)) |
(/.f64 (fma.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) (neg.f64 (/.f64 t (*.f64 #s(literal -1/2 binary64) z))) (*.f64 t #s(literal -1 binary64))) (*.f64 t (neg.f64 (/.f64 t (*.f64 #s(literal -1/2 binary64) z))))) |
(/.f64 (fma.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) (/.f64 (/.f64 t (*.f64 #s(literal -1/2 binary64) z)) #s(literal 1 binary64)) (*.f64 t #s(literal 1 binary64))) (*.f64 t (/.f64 (/.f64 t (*.f64 #s(literal -1/2 binary64) z)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) (/.f64 t (*.f64 #s(literal -1/2 binary64) z)) (*.f64 t #s(literal 1 binary64))) (*.f64 t (/.f64 t (*.f64 #s(literal -1/2 binary64) z)))) |
(/.f64 (fma.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) (neg.f64 t) (*.f64 t (*.f64 z #s(literal 1/2 binary64)))) (*.f64 t (neg.f64 t))) |
(/.f64 (fma.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) t (*.f64 t (*.f64 #s(literal -1/2 binary64) z))) (*.f64 t t)) |
(/.f64 (fma.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) (/.f64 t z) (*.f64 t #s(literal -1/2 binary64))) (*.f64 t (/.f64 t z))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 (+.f64 y x)) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 t)) (*.f64 (neg.f64 t) (neg.f64 (*.f64 z #s(literal 1/2 binary64))))) (*.f64 (neg.f64 t) (neg.f64 (neg.f64 t)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 (+.f64 y x)) #s(literal 1/2 binary64)) t (*.f64 (neg.f64 t) (*.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)))) (*.f64 (neg.f64 t) t)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 (+.f64 y x)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 t (*.f64 #s(literal -1/2 binary64) z))) (*.f64 (neg.f64 t) #s(literal -1 binary64))) (*.f64 (neg.f64 t) (neg.f64 (/.f64 t (*.f64 #s(literal -1/2 binary64) z))))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 (+.f64 y x)) #s(literal 1/2 binary64)) (/.f64 (/.f64 t (*.f64 #s(literal -1/2 binary64) z)) #s(literal 1 binary64)) (*.f64 (neg.f64 t) #s(literal 1 binary64))) (*.f64 (neg.f64 t) (/.f64 (/.f64 t (*.f64 #s(literal -1/2 binary64) z)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 (+.f64 y x)) #s(literal 1/2 binary64)) (/.f64 t (*.f64 #s(literal -1/2 binary64) z)) (*.f64 (neg.f64 t) #s(literal 1 binary64))) (*.f64 (neg.f64 t) (/.f64 t (*.f64 #s(literal -1/2 binary64) z)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 (+.f64 y x)) #s(literal 1/2 binary64)) (neg.f64 t) (*.f64 (neg.f64 t) (*.f64 z #s(literal 1/2 binary64)))) (*.f64 t t)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 (+.f64 y x)) #s(literal 1/2 binary64)) t (*.f64 (neg.f64 t) (*.f64 #s(literal -1/2 binary64) z))) (*.f64 (neg.f64 t) t)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 (+.f64 y x)) #s(literal 1/2 binary64)) (/.f64 t z) (*.f64 (neg.f64 t) #s(literal -1/2 binary64))) (*.f64 (neg.f64 t) (/.f64 t z))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (+.f64 y x))) (neg.f64 (neg.f64 t)) (*.f64 (neg.f64 t) (neg.f64 (*.f64 z #s(literal 1/2 binary64))))) (*.f64 (neg.f64 t) (neg.f64 (neg.f64 t)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (+.f64 y x))) t (*.f64 (neg.f64 t) (*.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)))) (*.f64 (neg.f64 t) t)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (+.f64 y x))) (neg.f64 (/.f64 t (*.f64 #s(literal -1/2 binary64) z))) (*.f64 (neg.f64 t) #s(literal -1 binary64))) (*.f64 (neg.f64 t) (neg.f64 (/.f64 t (*.f64 #s(literal -1/2 binary64) z))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (+.f64 y x))) (/.f64 (/.f64 t (*.f64 #s(literal -1/2 binary64) z)) #s(literal 1 binary64)) (*.f64 (neg.f64 t) #s(literal 1 binary64))) (*.f64 (neg.f64 t) (/.f64 (/.f64 t (*.f64 #s(literal -1/2 binary64) z)) #s(literal 1 binary64)))) |
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(/.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 (+.f64 z y) (*.f64 (+.f64 z y) (-.f64 y z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(/.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 z y) (*.f64 (+.f64 z y) (-.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(/.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)) |
Compiled 16 862 to 2 467 computations (85.4% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 666 | 1 | 667 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 667 | 10 | 677 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.2% | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| ✓ | 70.7% | (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
| ▶ | 70.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) |
| ✓ | 36.3% | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
| ✓ | 66.4% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64))) |
| ✓ | 68.4% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
| ✓ | 39.2% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
| ✓ | 34.0% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
| ▶ | 65.6% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (-.f64 (/.f64 y t) (/.f64 z t)) #s(literal 1/2 binary64))) |
| ✓ | 34.1% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
Compiled 154 to 129 computations (16.2% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x z) | |
| cost-diff | 0 | #s(approx (- (+ x y) z) (-.f64 x z)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) t) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) | |
| cost-diff | 0 | (/.f64 y t) | |
| cost-diff | 0 | (*.f64 (-.f64 (/.f64 y t) (/.f64 z t)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (-.f64 (/.f64 y t) (/.f64 z t)) #s(literal 1/2 binary64))) | |
| cost-diff | 704 | (-.f64 (/.f64 y t) (/.f64 z t)) |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 77 |
| 0 | 26 | 77 |
| 1 | 44 | 77 |
| 2 | 81 | 77 |
| 3 | 145 | 77 |
| 4 | 276 | 73 |
| 5 | 461 | 72 |
| 6 | 860 | 71 |
| 7 | 1810 | 71 |
| 8 | 3949 | 71 |
| 9 | 5052 | 71 |
| 10 | 6103 | 71 |
| 11 | 6161 | 71 |
| 12 | 6183 | 71 |
| 13 | 6195 | 71 |
| 14 | 6421 | 71 |
| 15 | 6565 | 71 |
| 16 | 6649 | 71 |
| 17 | 6723 | 71 |
| 18 | 6723 | 71 |
| 19 | 6723 | 71 |
| 20 | 6739 | 71 |
| 21 | 6759 | 71 |
| 22 | 6767 | 71 |
| 0 | 6767 | 71 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (-.f64 (/.f64 y t) (/.f64 z t)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (/.f64 y t) (/.f64 z t)) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 y t) (/.f64 z t)) |
(/.f64 y t) |
y |
t |
(/.f64 z t) |
z |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
#s(approx (- (+ x y) z) (-.f64 x z)) |
(-.f64 x z) |
x |
z |
| Outputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (-.f64 (/.f64 y t) (/.f64 z t)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) (-.f64 z y))) |
(*.f64 (-.f64 (/.f64 y t) (/.f64 z t)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) (-.f64 z y)) |
(-.f64 (/.f64 y t) (/.f64 z t)) |
(/.f64 (-.f64 y z) t) |
(/.f64 y t) |
y |
t |
(/.f64 z t) |
z |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) |
(*.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) t)) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
#s(approx (- (+ x y) z) (-.f64 x z)) |
(-.f64 x z) |
x |
z |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal 1/2 binary64) t) | |
| accuracy | 0 | (-.f64 x z) | |
| accuracy | 0.193691259768442 | (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) | |
| accuracy | 19.70092439241187 | #s(approx (- (+ x y) z) (-.f64 x z)) | |
| accuracy | 0 | (/.f64 y t) | |
| accuracy | 0 | (*.f64 (-.f64 (/.f64 y t) (/.f64 z t)) #s(literal 1/2 binary64)) | |
| accuracy | 0.44921668583020585 | (-.f64 (/.f64 y t) (/.f64 z t)) | |
| accuracy | 21.488931491000653 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (-.f64 (/.f64 y t) (/.f64 z t)) #s(literal 1/2 binary64))) |
| 31.0ms | 256× | 0 | valid |
Compiled 138 to 38 computations (72.5% saved)
ival-div: 7.0ms (39% of total)ival-mult: 5.0ms (27.9% of total)ival-sub: 4.0ms (22.3% of total)ival-add: 2.0ms (11.1% 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 y t) (/.f64 z t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (-.f64 (/.f64 y t) (/.f64 z t)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (/.f64 y t) (/.f64 z t)) #s(literal 1/2 binary64)) |
(/.f64 y t) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #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) |
| Outputs |
|---|
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(- y z) |
(- (+ x y) z) |
(* -1 z) |
(- x z) |
(* 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 (* -1 (/ z x)))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (/ z t)) |
(- (/ y t) (/ z t)) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(* -1/2 (/ z t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(/ y t) |
(* y (+ (* -1 (/ z (* t y))) (/ 1 t))) |
(* 1/2 (/ y t)) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* -1 (* y (- (/ z (* t y)) (/ 1 t)))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(+ (* -1 (/ z t)) (/ y t)) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ x y) |
(+ x (+ y (* -1 z))) |
(+ x (* -1 z)) |
(* z (- (/ y (* t z)) (/ 1 t))) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (/ x z) 1)) |
(* -1 (* z (+ (* -1 (/ y (* t z))) (/ 1 t)))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(/ (- y z) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/ 1/2 t) |
(* -1 (/ (- (* -1 y) (* -1 z)) t)) |
(* -1/2 (/ (- (* -1 y) (* -1 z)) t)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | t | @ | -inf | ((- (/ y t) (/ z t)) (/ (- (+ x y) z) (* t 2)) (* (- (/ y t) (/ z t)) 1/2) (/ y t) (* (/ 1/2 t) (- (+ x y) z)) (/ 1/2 t) (- (+ x y) z) (- x z)) |
| 1.0ms | t | @ | 0 | ((- (/ y t) (/ z t)) (/ (- (+ x y) z) (* t 2)) (* (- (/ y t) (/ z t)) 1/2) (/ y t) (* (/ 1/2 t) (- (+ x y) z)) (/ 1/2 t) (- (+ x y) z) (- x z)) |
| 1.0ms | y | @ | -inf | ((- (/ y t) (/ z t)) (/ (- (+ x y) z) (* t 2)) (* (- (/ y t) (/ z t)) 1/2) (/ y t) (* (/ 1/2 t) (- (+ x y) z)) (/ 1/2 t) (- (+ x y) z) (- x z)) |
| 1.0ms | y | @ | inf | ((- (/ y t) (/ z t)) (/ (- (+ x y) z) (* t 2)) (* (- (/ y t) (/ z t)) 1/2) (/ y t) (* (/ 1/2 t) (- (+ x y) z)) (/ 1/2 t) (- (+ x y) z) (- x z)) |
| 1.0ms | t | @ | inf | ((- (/ y t) (/ z t)) (/ (- (+ x y) z) (* t 2)) (* (- (/ y t) (/ z t)) 1/2) (/ y t) (* (/ 1/2 t) (- (+ x y) z)) (/ 1/2 t) (- (+ x y) z) (- x z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 143 | 330 |
| 1 | 446 | 330 |
| 2 | 1331 | 330 |
| 3 | 4581 | 310 |
| 0 | 8285 | 306 |
| 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) |
(* -1 z) |
(- x z) |
(* 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 (* -1 (/ z x)))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (/ z t)) |
(- (/ y t) (/ z t)) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(* -1/2 (/ z t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(/ y t) |
(* y (+ (* -1 (/ z (* t y))) (/ 1 t))) |
(* 1/2 (/ y t)) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* -1 (* y (- (/ z (* t y)) (/ 1 t)))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(+ (* -1 (/ z t)) (/ y t)) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ x y) |
(+ x (+ y (* -1 z))) |
(+ x (* -1 z)) |
(* z (- (/ y (* t z)) (/ 1 t))) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (/ x z) 1)) |
(* -1 (* z (+ (* -1 (/ y (* t z))) (/ 1 t)))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(/ (- y z) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/ 1/2 t) |
(* -1 (/ (- (* -1 y) (* -1 z)) t)) |
(* -1/2 (/ (- (* -1 y) (* -1 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 x z) y) t) #s(literal 1/2 binary64)) |
(- y z) |
(-.f64 y z) |
(- (+ x y) z) |
(+.f64 (-.f64 x z) y) |
(* -1 z) |
(neg.f64 z) |
(- x z) |
(-.f64 x z) |
(* 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 x z) y) t) #s(literal 1/2 binary64)) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(fma.f64 (/.f64 y x) x (-.f64 x z)) |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x z) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (+.f64 (-.f64 x z) y) t) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(fma.f64 (/.f64 y x) x (-.f64 x z)) |
(* -1 (* x (- (/ z x) 1))) |
(-.f64 x z) |
(* -1 (/ z t)) |
(/.f64 (neg.f64 z) t) |
(- (/ y t) (/ z t)) |
(/.f64 (-.f64 y z) t) |
(* 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 z) y) t) #s(literal 1/2 binary64)) |
(* -1/2 (/ z t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t))) |
(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)) |
(/ y t) |
(/.f64 y t) |
(* y (+ (* -1 (/ z (* t y))) (/ 1 t))) |
(/.f64 (-.f64 y z) t) |
(* 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 (-.f64 x z) y) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) t)) y) |
(* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(fma.f64 (/.f64 (-.f64 x z) y) y y) |
(* -1 (* y (- (/ z (* t y)) (/ 1 t)))) |
(/.f64 (-.f64 y z) t) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) t)) y) |
(* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(fma.f64 (/.f64 (-.f64 x z) y) y y) |
(+ (* -1 (/ z t)) (/ y t)) |
(/.f64 (-.f64 y z) t) |
(* 1/2 (/ (+ x y) t)) |
(*.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(*.f64 (/.f64 (+.f64 (-.f64 x z) y) t) #s(literal 1/2 binary64)) |
(+ x y) |
(+.f64 x y) |
(+ x (+ y (* -1 z))) |
(+.f64 (-.f64 x z) y) |
(+ x (* -1 z)) |
(-.f64 x z) |
(* z (- (/ y (* t z)) (/ 1 t))) |
(/.f64 (-.f64 y z) t) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (+.f64 (-.f64 x z) y) t) #s(literal 1/2 binary64)) |
(* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(+.f64 (-.f64 x z) y) |
(* z (- (/ x z) 1)) |
(-.f64 x z) |
(* -1 (* z (+ (* -1 (/ y (* t z))) (/ 1 t)))) |
(/.f64 (-.f64 y z) t) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (+.f64 (-.f64 x z) y) t) #s(literal 1/2 binary64)) |
(* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(+.f64 (-.f64 x z) y) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 x z) |
(/ (- y z) t) |
(/.f64 (-.f64 y z) t) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (+.f64 (-.f64 x z) y) t) #s(literal 1/2 binary64)) |
(/ 1/2 t) |
(/.f64 #s(literal 1/2 binary64) t) |
(* -1 (/ (- (* -1 y) (* -1 z)) t)) |
(/.f64 (-.f64 y z) t) |
(* -1/2 (/ (- (* -1 y) (* -1 z)) t)) |
(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 66 |
| 0 | 26 | 60 |
| 1 | 120 | 60 |
| 2 | 1038 | 60 |
| 0 | 8637 | 60 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 y t) (/.f64 z t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (-.f64 (/.f64 y t) (/.f64 z t)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (/.f64 y t) (/.f64 z t)) #s(literal 1/2 binary64)) |
(/.f64 y t) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #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) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (-.f64 y (neg.f64 z)) t) (pow.f64 t #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 y z) t) (+.f64 y z))) |
(*.f64 (/.f64 (fma.f64 t y (*.f64 (neg.f64 t) z)) t) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 y (neg.f64 z)) t)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (pow.f64 (/.f64 z t) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 z t) (/.f64 (-.f64 y (neg.f64 z)) t) (pow.f64 (/.f64 y t) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 t y (*.f64 (neg.f64 t) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 t t)))) |
(*.f64 (neg.f64 (-.f64 y z)) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (-.f64 (/.f64 t z) (/.f64 t y)) (*.f64 (*.f64 y z) (pow.f64 t #s(literal -2 binary64)))) |
(*.f64 (-.f64 (neg.f64 t) (*.f64 (/.f64 t y) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t y) (neg.f64 t)))) |
(*.f64 (-.f64 t (*.f64 (/.f64 t y) z)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t y) t))) |
(*.f64 (fma.f64 (neg.f64 y) (/.f64 t z) t) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (/.f64 t z)))) |
(*.f64 (-.f64 (*.f64 (neg.f64 y) (neg.f64 t)) (*.f64 (neg.f64 t) (neg.f64 z))) (pow.f64 t #s(literal -2 binary64))) |
(*.f64 (-.f64 (*.f64 (neg.f64 y) t) (*.f64 (neg.f64 t) z)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) t))) |
(*.f64 (fma.f64 y (/.f64 t z) (neg.f64 t)) (/.f64 #s(literal 1 binary64) (*.f64 t (/.f64 t z)))) |
(*.f64 (-.f64 (*.f64 y (neg.f64 t)) (*.f64 t (neg.f64 z))) (/.f64 #s(literal 1 binary64) (*.f64 t (neg.f64 t)))) |
(*.f64 (fma.f64 #s(literal -1 binary64) y z) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (-.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 y (neg.f64 z)) t) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (-.f64 y z)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) t)) |
(*.f64 (-.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (pow.f64 (/.f64 z t) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 (/.f64 y t) (/.f64 (neg.f64 z) t)))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (pow.f64 (/.f64 z t) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 z t) (/.f64 (-.f64 y (neg.f64 z)) t) (pow.f64 (/.f64 y t) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 t y (*.f64 (neg.f64 t) z)) (pow.f64 t #s(literal -2 binary64))) |
(*.f64 (-.f64 y z) (pow.f64 t #s(literal -1 binary64))) |
(pow.f64 (/.f64 t (-.f64 y z)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 y t) #s(literal 2 binary64))) (-.f64 (/.f64 (neg.f64 z) t) (/.f64 y t))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (/.f64 (-.f64 y (neg.f64 z)) t)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (/.f64 (-.f64 y (neg.f64 z)) t)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (/.f64 (-.f64 y (neg.f64 z)) t)) (/.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (/.f64 (-.f64 y (neg.f64 z)) t)) (fma.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (/.f64 (-.f64 y (neg.f64 z)) t)) (/.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (/.f64 (-.f64 y (neg.f64 z)) t)) (*.f64 (/.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (/.f64 (-.f64 y (neg.f64 z)) t)) (/.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (/.f64 (-.f64 y (neg.f64 z)) t)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (fma.f64 (/.f64 z t) (/.f64 (-.f64 y (neg.f64 z)) t) (pow.f64 (/.f64 y t) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 3 binary64)) (fma.f64 (/.f64 z t) (/.f64 (-.f64 y (neg.f64 z)) t) (pow.f64 (/.f64 y t) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (fma.f64 (/.f64 z t) (/.f64 (-.f64 y (neg.f64 z)) t) (pow.f64 (/.f64 y t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (fma.f64 (/.f64 z t) (/.f64 (-.f64 y (neg.f64 z)) t) (pow.f64 (/.f64 y t) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 3 binary64)) (fma.f64 (/.f64 z t) (/.f64 (-.f64 y (neg.f64 z)) t) (pow.f64 (/.f64 y t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 3 binary64)) (fma.f64 (/.f64 z t) (/.f64 (-.f64 y (neg.f64 z)) t) (pow.f64 (/.f64 y t) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (fma.f64 (/.f64 z t) (/.f64 (-.f64 y (neg.f64 z)) t) (pow.f64 (/.f64 y t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 3 binary64)) (fma.f64 (/.f64 z t) (/.f64 (-.f64 y (neg.f64 z)) t) (pow.f64 (/.f64 y t) #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 t t) (/.f64 y t)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 t t) (/.f64 z t)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 t t) (/.f64 y t)) (*.f64 (/.f64 t t) (/.f64 y t)) (fma.f64 (*.f64 (/.f64 t t) (/.f64 z t)) (*.f64 (/.f64 t t) (/.f64 z t)) (*.f64 (*.f64 (/.f64 t t) (/.f64 y t)) (*.f64 (/.f64 t t) (/.f64 z t)))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 z t) #s(literal 3 binary64)) (pow.f64 (/.f64 y t) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (*.f64 (/.f64 (neg.f64 z) t) (/.f64 y t))))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 t y (*.f64 (neg.f64 t) z)) t)) (neg.f64 t)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (/.f64 (-.f64 y (neg.f64 z)) t)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (pow.f64 (/.f64 z t) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 z t) (/.f64 (-.f64 y (neg.f64 z)) t) (pow.f64 (/.f64 y t) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 t y (*.f64 (neg.f64 t) z)))) (neg.f64 (neg.f64 (*.f64 t t)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 y z))) t) |
(/.f64 (neg.f64 (-.f64 (/.f64 t z) (/.f64 t y))) (neg.f64 (*.f64 (/.f64 t y) (/.f64 t z)))) |
(/.f64 (neg.f64 (-.f64 (neg.f64 t) (*.f64 (/.f64 t y) (neg.f64 z)))) (neg.f64 (*.f64 (/.f64 t y) (neg.f64 t)))) |
(/.f64 (neg.f64 (-.f64 t (*.f64 (/.f64 t y) z))) (neg.f64 (*.f64 (/.f64 t y) t))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 y) (/.f64 t z) t)) (neg.f64 (*.f64 (neg.f64 t) (/.f64 t z)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 y) (neg.f64 t)) (*.f64 (neg.f64 t) (neg.f64 z)))) (neg.f64 (*.f64 t t))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 y) t) (*.f64 (neg.f64 t) z))) (neg.f64 (*.f64 (neg.f64 t) t))) |
(/.f64 (neg.f64 (fma.f64 y (/.f64 t z) (neg.f64 t))) (neg.f64 (*.f64 t (/.f64 t z)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y (neg.f64 t)) (*.f64 t (neg.f64 z)))) (neg.f64 (*.f64 t (neg.f64 t)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) y z)) t) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (/.f64 (-.f64 y (neg.f64 z)) t)) (*.f64 (/.f64 (-.f64 y (neg.f64 z)) t) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 y (neg.f64 z)) t) (/.f64 (-.f64 y (neg.f64 z)) t))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (fma.f64 (/.f64 z t) (/.f64 (-.f64 y (neg.f64 z)) t) (pow.f64 (/.f64 y t) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 z t) (/.f64 (-.f64 y (neg.f64 z)) t) (pow.f64 (/.f64 y t) #s(literal 2 binary64))) (pow.f64 (/.f64 z t) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 z t) (/.f64 (-.f64 y (neg.f64 z)) t) (pow.f64 (/.f64 y t) #s(literal 2 binary64))) (fma.f64 (/.f64 z t) (/.f64 (-.f64 y (neg.f64 z)) t) (pow.f64 (/.f64 y t) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 t y) (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 z t))) (*.f64 (*.f64 t t) (*.f64 t t))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t z))) (*.f64 (neg.f64 (/.f64 t y)) #s(literal -1 binary64))) (*.f64 (neg.f64 (/.f64 t y)) (neg.f64 (/.f64 t z)))) |
(/.f64 (-.f64 (neg.f64 (/.f64 t z)) (*.f64 (neg.f64 (/.f64 t y)) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 t y)) (/.f64 t z))) |
(/.f64 (-.f64 t (*.f64 (neg.f64 (/.f64 t y)) (neg.f64 z))) (*.f64 (neg.f64 (/.f64 t y)) (neg.f64 t))) |
(/.f64 (-.f64 (neg.f64 t) (*.f64 (neg.f64 (/.f64 t y)) z)) (*.f64 (neg.f64 (/.f64 t y)) t)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 t z))) (*.f64 (/.f64 t y) #s(literal -1 binary64))) (*.f64 (/.f64 t y) (neg.f64 (/.f64 t z)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 y) (neg.f64 (/.f64 t z))) (*.f64 (neg.f64 t) #s(literal -1 binary64))) (*.f64 (neg.f64 t) (neg.f64 (/.f64 t z)))) |
(/.f64 (-.f64 (*.f64 y (neg.f64 (/.f64 t z))) (*.f64 t #s(literal -1 binary64))) (*.f64 t (neg.f64 (/.f64 t z)))) |
(/.f64 (/.f64 (fma.f64 t y (*.f64 (neg.f64 t) z)) t) t) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 y (neg.f64 z)) t))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (pow.f64 (/.f64 z t) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 (/.f64 y t) (/.f64 (neg.f64 z) t)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (pow.f64 (/.f64 z t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 z t) (/.f64 (-.f64 y (neg.f64 z)) t) (pow.f64 (/.f64 y t) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 t y (*.f64 (neg.f64 t) z))) (neg.f64 (*.f64 t t))) |
(/.f64 (neg.f64 (-.f64 y z)) (neg.f64 t)) |
(/.f64 (-.f64 (/.f64 t z) (/.f64 t y)) (*.f64 (/.f64 t y) (/.f64 t z))) |
(/.f64 (-.f64 (neg.f64 t) (*.f64 (/.f64 t y) (neg.f64 z))) (*.f64 (/.f64 t y) (neg.f64 t))) |
(/.f64 (-.f64 t (*.f64 (/.f64 t y) z)) (*.f64 (/.f64 t y) t)) |
(/.f64 (fma.f64 (neg.f64 y) (/.f64 t z) t) (*.f64 (neg.f64 t) (/.f64 t z))) |
(/.f64 (-.f64 (*.f64 (neg.f64 y) (neg.f64 t)) (*.f64 (neg.f64 t) (neg.f64 z))) (*.f64 t t)) |
(/.f64 (-.f64 (*.f64 (neg.f64 y) t) (*.f64 (neg.f64 t) z)) (*.f64 (neg.f64 t) t)) |
(/.f64 (fma.f64 y (/.f64 t z) (neg.f64 t)) (*.f64 t (/.f64 t z))) |
(/.f64 (-.f64 (*.f64 y (neg.f64 t)) (*.f64 t (neg.f64 z))) (*.f64 t (neg.f64 t))) |
(/.f64 (fma.f64 #s(literal -1 binary64) y z) (neg.f64 t)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (-.f64 y z)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) (/.f64 (-.f64 y (neg.f64 z)) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (fma.f64 t y (*.f64 (neg.f64 t) z)) t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 (/.f64 y t) (/.f64 (neg.f64 z) t)))) (-.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (pow.f64 (/.f64 z t) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 t y) (/.f64 t z)) (-.f64 (/.f64 t z) (/.f64 t y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 t y) (neg.f64 t)) (-.f64 (neg.f64 t) (*.f64 (/.f64 t y) (neg.f64 z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 t y) t) (-.f64 t (*.f64 (/.f64 t y) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 t) (/.f64 t z)) (fma.f64 (neg.f64 y) (/.f64 t z) t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 (*.f64 (neg.f64 y) (neg.f64 t)) (*.f64 (neg.f64 t) (neg.f64 z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 t) t) (-.f64 (*.f64 (neg.f64 y) t) (*.f64 (neg.f64 t) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (/.f64 t z)) (fma.f64 y (/.f64 t z) (neg.f64 t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (neg.f64 t)) (-.f64 (*.f64 y (neg.f64 t)) (*.f64 t (neg.f64 z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (fma.f64 #s(literal -1 binary64) y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (-.f64 y z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 y z))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (pow.f64 (/.f64 z t) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 (/.f64 y t) (/.f64 (neg.f64 z) t))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (pow.f64 (/.f64 z t) #s(literal 3 binary64))) (fma.f64 (/.f64 z t) (/.f64 (-.f64 y (neg.f64 z)) t) (pow.f64 (/.f64 y t) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 t y (*.f64 (neg.f64 t) z)) (*.f64 t t)) |
(/.f64 (-.f64 y z) t) |
(fma.f64 (/.f64 t t) (/.f64 y t) (neg.f64 (*.f64 (/.f64 t t) (/.f64 z t)))) |
(fma.f64 (/.f64 (*.f64 (/.f64 y t) y) (pow.f64 t #s(literal -1 binary64))) (/.f64 (pow.f64 t #s(literal -1 binary64)) (+.f64 y z)) (neg.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (/.f64 (-.f64 y (neg.f64 z)) t)))) |
(fma.f64 (/.f64 (*.f64 y y) (pow.f64 t #s(literal -1 binary64))) (/.f64 (pow.f64 t #s(literal -2 binary64)) (+.f64 y z)) (neg.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (/.f64 (-.f64 y (neg.f64 z)) t)))) |
(fma.f64 (/.f64 (/.f64 y t) (pow.f64 t #s(literal -1 binary64))) (/.f64 (/.f64 y t) (+.f64 y z)) (neg.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (/.f64 (-.f64 y (neg.f64 z)) t)))) |
(fma.f64 (/.f64 y (pow.f64 t #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 t (/.f64 t y)) #s(literal -1 binary64)) (+.f64 y z)) (neg.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (/.f64 (-.f64 y (neg.f64 z)) t)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 t y))) (/.f64 (neg.f64 z) t)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) t) (/.f64 (neg.f64 z) t)) |
(fma.f64 #s(literal -1 binary64) (/.f64 z t) (/.f64 y t)) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 z) t)) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) y (/.f64 (neg.f64 z) t)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) t) (/.f64 y t)) |
(fma.f64 #s(literal 1 binary64) (/.f64 y t) (/.f64 (neg.f64 z) t)) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 t #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) t)) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 t)) |
(/.f64 #s(literal 1/2 binary64) 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))) |
(*.f64 #s(literal 1 binary64) #s(approx (- (+ x y) z) (-.f64 x z))) |
(*.f64 #s(approx (- (+ x y) z) (-.f64 x z)) #s(literal 1 binary64)) |
#s(approx (- (+ x y) z) (-.f64 x z)) |
(*.f64 (neg.f64 (*.f64 (+.f64 x z) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x z)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (*.f64 z (+.f64 x z)))))) |
(*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 (+.f64 x z) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 x z)) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x (neg.f64 z)))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (-.f64 (neg.f64 z) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (+.f64 x z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x z)) (/.f64 (*.f64 x x) (+.f64 x z)) (fma.f64 (/.f64 (*.f64 z z) (+.f64 x z)) (/.f64 (*.f64 z z) (+.f64 x z)) (*.f64 (/.f64 (*.f64 x x) (+.f64 x z)) (/.f64 (*.f64 z z) (+.f64 x z)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 z (+.f64 x z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 x x (*.f64 z (+.f64 x z)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 z (+.f64 x z)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 z (+.f64 x z)))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 x x (*.f64 z (+.f64 x z)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 x x (*.f64 z (+.f64 x z)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 z (+.f64 x z)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 x x (*.f64 z (+.f64 x z)))))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 x x) (*.f64 (neg.f64 z) x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x z) (-.f64 x z)))) (neg.f64 (neg.f64 (+.f64 x z)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x x (*.f64 z (+.f64 x z)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x z)) (*.f64 (+.f64 x z) (*.f64 z z))) (*.f64 (+.f64 x z) (+.f64 x z))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 z (+.f64 x z)))) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (fma.f64 x x (*.f64 z (+.f64 x z))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x z) (-.f64 x z))) (neg.f64 (+.f64 x z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x (neg.f64 z)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 z (+.f64 x z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)))) |
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (+.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x (neg.f64 z)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x z))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x (neg.f64 z))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x x (*.f64 z (+.f64 x z)))) |
(fma.f64 #s(literal -1 binary64) z x) |
(fma.f64 #s(literal 1 binary64) (neg.f64 z) x) |
(fma.f64 (*.f64 x x) (pow.f64 (+.f64 x z) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 z z) (+.f64 x z)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 x x (*.f64 z (+.f64 x z)))))) |
(fma.f64 (neg.f64 z) #s(literal 1 binary64) x) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x z)) (/.f64 (*.f64 z z) (+.f64 x z))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 z (+.f64 x z)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 x x (*.f64 z (+.f64 x z))))) |
(-.f64 x z) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 x z)) (neg.f64 (/.f64 (*.f64 z z) (+.f64 x z)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 z (+.f64 x z)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 x x (*.f64 z (+.f64 x z)))))) |
(+.f64 (neg.f64 z) x) |
(+.f64 x (neg.f64 z)) |
Compiled 7 995 to 1 161 computations (85.5% saved)
10 alts after pruning (0 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 298 | 0 | 298 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 8 | 8 |
| Total | 298 | 10 | 308 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.2% | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| ✓ | 70.7% | (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
| ✓ | 70.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) |
| ✓ | 36.3% | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
| ✓ | 66.4% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64))) |
| ✓ | 68.4% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
| ✓ | 39.2% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
| ✓ | 34.0% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
| ✓ | 65.6% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (-.f64 (/.f64 y t) (/.f64 z t)) #s(literal 1/2 binary64))) |
| ✓ | 34.1% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
Compiled 369 to 190 computations (48.5% 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))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
(/.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))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) |
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (-.f64 (/.f64 y t) (/.f64 z t)) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) |
(-.f64 (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) (/.f64 z (*.f64 #s(literal 2 binary64) t))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) |
8 calls:
| 6.0ms | (*.f64 t #s(literal 2 binary64)) |
| 6.0ms | t |
| 6.0ms | x |
| 6.0ms | (+.f64 x y) |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | z |
| 99.7% | 1 | t |
| 99.7% | 1 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 99.7% | 1 | (-.f64 (+.f64 x y) z) |
| 99.7% | 1 | (+.f64 x y) |
| 99.7% | 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))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
(/.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))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) |
(/.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 z) t) #s(literal 1/2 binary64))) |
8 calls:
| 5.0ms | (*.f64 t #s(literal 2 binary64)) |
| 5.0ms | t |
| 5.0ms | y |
| 5.0ms | x |
| 4.0ms | (-.f64 (+.f64 x y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 2 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 92.3% | 2 | x |
| 90.1% | 2 | y |
| 90.8% | 3 | z |
| 77.1% | 3 | t |
| 98.8% | 2 | (-.f64 (+.f64 x y) z) |
| 99.1% | 2 | (+.f64 x y) |
| 77.1% | 3 | (*.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))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
(/.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))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64))) |
1 calls:
| 4.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 2 | (+.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)) |
#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) z) t)) |
(/.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))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#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 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64))) |
4 calls:
| 4.0ms | x |
| 4.0ms | (+.f64 x y) |
| 4.0ms | (-.f64 (+.f64 x y) z) |
| 4.0ms | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.7% | 2 | x |
| 84.6% | 2 | (-.f64 (+.f64 x y) z) |
| 84.8% | 2 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 91.3% | 2 | (+.f64 x y) |
Compiled 18 to 24 computations (-33.3% 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))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
(/.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 |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
#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 (*.f64 #s(literal -1/2 binary64) z) t)) |
6 calls:
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | (+.f64 x y) |
| 4.0ms | z |
| 4.0ms | (-.f64 (+.f64 x y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.4% | 1 | (-.f64 (+.f64 x y) z) |
| 68.4% | 1 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 85.3% | 3 | z |
| 72.7% | 3 | y |
| 71.6% | 3 | x |
| 80.0% | 3 | (+.f64 x y) |
Compiled 20 to 32 computations (-60% 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))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
(/.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))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
2 calls:
| 3.0ms | (+.f64 x y) |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.5% | 3 | (+.f64 x y) |
| 63.1% | 5 | z |
Compiled 4 to 9 computations (-125% 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:
| 3.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.5% | 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))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
8 calls:
| 2.0ms | (*.f64 t #s(literal 2 binary64)) |
| 2.0ms | (+.f64 x y) |
| 2.0ms | (-.f64 (+.f64 x y) z) |
| 2.0ms | t |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.0% | 3 | z |
| 49.2% | 2 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 49.5% | 2 | (-.f64 (+.f64 x y) z) |
| 42.3% | 2 | x |
| 53.9% | 2 | y |
| 45.8% | 6 | t |
| 45.8% | 6 | (*.f64 t #s(literal 2 binary64)) |
| 54.4% | 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:
| 2.0ms | (*.f64 t #s(literal 2 binary64)) |
| 2.0ms | (+.f64 x y) |
| 2.0ms | (-.f64 (+.f64 x y) z) |
| 2.0ms | z |
| 2.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.1% | 1 | t |
| 34.1% | 1 | (*.f64 t #s(literal 2 binary64)) |
| 34.1% | 1 | x |
| 34.1% | 1 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 34.1% | 1 | (-.f64 (+.f64 x y) z) |
| 34.1% | 1 | y |
| 34.1% | 1 | (+.f64 x y) |
| 34.1% | 1 | z |
Compiled 24 to 42 computations (-75% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.3161718283034517e-199 | -4.023786963323841e-247 |
Compiled 12 to 16 computations (-33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.3161718283034517e-199 | -4.023786963323841e-247 |
Compiled 12 to 16 computations (-33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -374753091606.9071 | -98905208850.43936 |
Compiled 12 to 16 computations (-33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.0706869012613817e+70 | 6.0597131353838e+75 |
| 14.0ms | -1.2997242049853286e+165 | -8.698994338464614e+159 |
| 16.0ms | 288× | 0 | valid |
Compiled 588 to 538 computations (8.5% saved)
ival-div: 2.0ms (25.5% of total)ival-add: 2.0ms (25.5% of total)ival-mult: 2.0ms (25.5% of total)ival-sub: 1.0ms (12.7% 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 | 5.654675025321811e-12 | 1.4418749972677904e-10 |
| 0.0ms | -374753091606.9071 | -98905208850.43936 |
Compiled 12 to 16 computations (-33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.654675025321811e-12 | 1.4418749972677904e-10 |
| 0.0ms | -374753091606.9071 | -98905208850.43936 |
Compiled 12 to 16 computations (-33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 403.3968991201067 | 471.244319272473 |
| 12.0ms | -2.2706815788827623e+67 | -3.1960177447372584e+63 |
| 10.0ms | 176× | 0 | valid |
Compiled 408 to 357 computations (12.5% saved)
ival-sub: 1.0ms (20.6% of total)ival-div: 1.0ms (20.6% of total)ival-add: 1.0ms (20.6% of total)ival-mult: 1.0ms (20.6% 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 | 68 | 382 |
| 1 | 84 | 382 |
| 2 | 91 | 382 |
| 3 | 93 | 382 |
| 4 | 94 | 382 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) |
(if (<=.f64 (+.f64 x y) #s(literal -8618206661096855/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384 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 z) t) #s(literal 1/2 binary64)))) |
(if (<=.f64 (+.f64 x y) #s(literal -8618206661096855/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)))) |
(if (<=.f64 (+.f64 x y) #s(literal -200000000000 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 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)))) |
(if (<=.f64 z #s(literal -54499999999999999809492225800919706856309184497626052289541527806716837788865619292241285135980341824145498426409013076336225194938403233737810046269438705008640 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) (if (<=.f64 z #s(literal 86000000000000002621014052368016515123921215154871214834341745017896304640 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 (*.f64 #s(literal -1/2 binary64) z) t)))) |
(if (<=.f64 (+.f64 x y) #s(literal -200000000000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) 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 -200000000000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 6189700196426901/618970019642690137449562112 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 z #s(literal -30000000000000002101114207614534824372722568854321968059162558464 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (if (<=.f64 z #s(literal 460 binary64)) #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 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) |
(*.f64 (-.f64 (+.f64 x y) z) (/.f64 #s(literal 1/2 binary64) t)) |
(if (<=.f64 (+.f64 x y) #s(literal -8618206661096855/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384 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 z) t) #s(literal 1/2 binary64)))) |
(if (<=.f64 (+.f64 x y) #s(literal -8618206661096855/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 #s(literal 2 binary64) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)))) |
(if (<=.f64 (+.f64 x y) #s(literal -8618206661096855/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 x z))) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)))) |
(if (<=.f64 (+.f64 x y) #s(literal -8618206661096855/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384 binary64)) (*.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)))) |
(if (<=.f64 (+.f64 x y) #s(literal -200000000000 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 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)))) |
(if (<=.f64 (+.f64 x y) #s(literal -200000000000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64))) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)))) |
(if (<=.f64 z #s(literal -54499999999999999809492225800919706856309184497626052289541527806716837788865619292241285135980341824145498426409013076336225194938403233737810046269438705008640 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) (if (<=.f64 z #s(literal 86000000000000002621014052368016515123921215154871214834341745017896304640 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 (*.f64 #s(literal -1/2 binary64) z) t)))) |
(if (<=.f64 z #s(literal -54499999999999999809492225800919706856309184497626052289541527806716837788865619292241285135980341824145498426409013076336225194938403233737810046269438705008640 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) (if (<=.f64 z #s(literal 86000000000000002621014052368016515123921215154871214834341745017896304640 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64))) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)))) |
(if (<=.f64 (+.f64 x y) #s(literal -200000000000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) 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 -200000000000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 6189700196426901/618970019642690137449562112 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 z #s(literal -30000000000000002101114207614534824372722568854321968059162558464 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (if (<=.f64 z #s(literal 460 binary64)) #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 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 123 |
| 0 | 41 | 123 |
| 1 | 162 | 123 |
| 2 | 1137 | 123 |
| 0 | 8434 | 123 |
| 0 | 149 | 338 |
| 1 | 464 | 338 |
| 2 | 1332 | 326 |
| 3 | 4280 | 306 |
| 4 | 7500 | 294 |
| 0 | 8135 | 292 |
| 0 | 9 | 20 |
| 0 | 13 | 20 |
| 1 | 57 | 20 |
| 2 | 473 | 20 |
| 3 | 7793 | 20 |
| 0 | 8232 | 20 |
| 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 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 530 to 245 computations (53.8% saved)
(sort x y)
(negabs t)
Compiled 854 to 226 computations (73.5% saved)
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