
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)
| 356.0ms | 8 256× | 0 | valid |
ival-div: 51.0ms (27.6% of total)ival-mult: 47.0ms (25.4% of total)ival-add: 43.0ms (23.3% of total)ival-sub: 33.0ms (17.9% of total)ival-true: 5.0ms (2.7% of total)exact: 4.0ms (2.2% of total)ival-assert: 2.0ms (1.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 t #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 x y) z) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 26.0ms | 512× | 0 | valid |
Compiled 88 to 40 computations (54.5% saved)
ival-div: 3.0ms (25.2% of total)ival-mult: 3.0ms (25.2% of total)ival-sub: 2.0ms (16.8% of total)ival-add: 2.0ms (16.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 141 |
| 1 | 170 | 126 |
| 2 | 511 | 126 |
| 3 | 1660 | 126 |
| 4 | 5370 | 126 |
| 5 | 7727 | 126 |
| 0 | 9 | 9 |
| 0 | 13 | 9 |
| 1 | 24 | 9 |
| 2 | 48 | 9 |
| 3 | 83 | 9 |
| 4 | 166 | 9 |
| 5 | 301 | 9 |
| 6 | 587 | 9 |
| 7 | 1372 | 9 |
| 8 | 2733 | 9 |
| 9 | 4698 | 9 |
| 10 | 5064 | 9 |
| 11 | 5108 | 9 |
| 12 | 5116 | 9 |
| 13 | 5116 | 9 |
| 14 | 5508 | 9 |
| 15 | 5676 | 9 |
| 16 | 5676 | 9 |
| 17 | 5676 | 9 |
| 0 | 5676 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 y x) z) t)) |
(negabs t)
(sort x y)
Compiled 9 to 9 computations (0% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
Compiled 9 to 9 computations (0% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 t #s(literal 2 binary64)) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (-.f64 (+.f64 x y) z) | |
| cost-diff | 0 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 0 | 13 | 25 |
| 1 | 24 | 25 |
| 2 | 48 | 25 |
| 3 | 83 | 25 |
| 4 | 166 | 25 |
| 5 | 301 | 25 |
| 6 | 587 | 25 |
| 7 | 1372 | 25 |
| 8 | 2733 | 25 |
| 9 | 4698 | 25 |
| 10 | 5064 | 25 |
| 11 | 5108 | 25 |
| 12 | 5116 | 25 |
| 13 | 5116 | 25 |
| 14 | 5508 | 25 |
| 15 | 5676 | 25 |
| 16 | 5676 | 25 |
| 17 | 5676 | 25 |
| 0 | 5676 | 25 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(-.f64 (+.f64 x y) z) |
(+.f64 x y) |
x |
y |
z |
(*.f64 t #s(literal 2 binary64)) |
t |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 y x) z) t)) |
(-.f64 (+.f64 x y) z) |
(-.f64 (+.f64 y x) z) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
z |
(*.f64 t #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) t) |
t |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 (+.f64 x y) z) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0 | (*.f64 t #s(literal 2 binary64)) | |
| accuracy | 0.0234375 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 22.0ms | 256× | 0 | valid |
Compiled 52 to 20 computations (61.5% saved)
ival-sub: 10.0ms (66.2% of total)ival-div: 2.0ms (13.2% of total)ival-add: 1.0ms (6.6% of total)ival-mult: 1.0ms (6.6% 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 | t | @ | 0 | ((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ x y) (* t 2)) |
| 1.0ms | z | @ | 0 | ((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ x y) (* t 2)) |
| 1.0ms | x | @ | -inf | ((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ x y) (* t 2)) |
| 1.0ms | t | @ | inf | ((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ x y) (* t 2)) |
| 1.0ms | x | @ | inf | ((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ x y) (* t 2)) |
| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 214 |
| 1 | 314 | 214 |
| 2 | 876 | 214 |
| 3 | 2921 | 194 |
| 4 | 7529 | 194 |
| 0 | 8723 | 194 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(- y z) |
(- (+ x y) z) |
y |
(+ x y) |
(* 1/2 (/ x t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (+ 1 (/ y x))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(- x z) |
(* 1/2 (/ y t)) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (+ 1 (/ x y))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ x (+ y (* -1 z))) |
(* -1/2 (/ z t)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 2 t) |
| Outputs |
|---|
(* 1/2 (/ (- y z) t)) |
(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(- y z) |
(-.f64 y z) |
(- (+ x y) z) |
(-.f64 (+.f64 y x) z) |
y |
(+ x y) |
(+.f64 y x) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(-.f64 (+.f64 y x) z) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(-.f64 (+.f64 y x) z) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* 1/2 (/ (- x z) t)) |
(*.f64 (/.f64 (-.f64 x z) t) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(- x z) |
(-.f64 x z) |
(* 1/2 (/ y t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) y) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(-.f64 (+.f64 y x) z) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(-.f64 (+.f64 y x) z) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* 1/2 (/ (+ x y) t)) |
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(+ x (+ y (* -1 z))) |
(-.f64 (+.f64 y x) z) |
(* -1/2 (/ z t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(-.f64 (+.f64 y x) z) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(-.f64 (+.f64 y x) z) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 0 | 13 | 20 |
| 1 | 57 | 20 |
| 2 | 473 | 20 |
| 3 | 7793 | 20 |
| 0 | 8232 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(-.f64 (+.f64 x y) z) |
(+.f64 x y) |
(*.f64 t #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) t)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) t)) (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (-.f64 (+.f64 y x) z)) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z (+.f64 y x)) z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 z (+.f64 y x)) z))) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (+.f64 z (+.f64 y x)) z) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z (+.f64 y x)) z) (-.f64 (*.f64 (+.f64 z (+.f64 y x)) z) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 4 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 z (+.f64 y x))) (/.f64 #s(literal -1/2 binary64) t)) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (+.f64 z (+.f64 y x)) (*.f64 #s(literal 2 binary64) t)) (/.f64 (-.f64 (+.f64 y x) z) (+.f64 z (+.f64 y x)))) |
(*.f64 (/.f64 (fma.f64 (+.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) t)) (/.f64 (-.f64 (+.f64 y x) z) (fma.f64 (+.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 z (+.f64 y x)) #s(literal -1 binary64)) t)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) t) (/.f64 (pow.f64 (+.f64 z (+.f64 y x)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 (+.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) t)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) t) (/.f64 (pow.f64 (fma.f64 (+.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (-.f64 (+.f64 y x) z) #s(literal -2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z (+.f64 y x)) t)) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 t (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) #s(literal -1 binary64)) (pow.f64 (+.f64 z (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (+.f64 y x) z) #s(literal 1/2 binary64)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) t)) (pow.f64 (+.f64 z (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 z (+.f64 y x))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 y x) z) t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) (-.f64 z (+.f64 y x))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 (-.f64 (+.f64 y x) z) #s(literal 1/2 binary64))) |
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(/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1 binary64)) (-.f64 x y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(neg.f64 (neg.f64 (+.f64 y x))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(+.f64 y x) |
(+.f64 x y) |
(*.f64 (neg.f64 (neg.f64 t)) #s(literal 2 binary64)) |
(*.f64 #s(literal -2 binary64) (neg.f64 t)) |
(*.f64 (neg.f64 t) #s(literal -2 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) t)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) t)) |
(*.f64 (*.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 t #s(literal 1 binary64))) |
(*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 t))) |
(*.f64 #s(literal 2 binary64) t) |
(*.f64 t #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) t)) |
(/.f64 (*.f64 #s(literal -2 binary64) t) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)) |
(neg.f64 (*.f64 #s(literal -2 binary64) t)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) t)) |
Compiled 12 279 to 1 490 computations (87.9% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 507 | 11 | 518 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 508 | 11 | 519 |
| Status | Accuracy | Program |
|---|---|---|
| 98.2% | (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) | |
| ▶ | 62.6% | (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
| 70.8% | (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) | |
| 33.0% | (/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) | |
| 99.6% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t)) | |
| ▶ | 99.7% | (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) |
| 99.7% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) | |
| ▶ | 74.0% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
| ▶ | 44.3% | #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)) | |
| ▶ | 32.9% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
Compiled 282 to 248 computations (12.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 t #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | #s(approx (- (+ x y) z) (-.f64 y z)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 (+.f64 y x) t) | |
| cost-diff | 0 | (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 x t) | |
| cost-diff | 0 | (*.f64 (/.f64 x t) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) t) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) | |
| cost-diff | 0 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (-.f64 (+.f64 y x) z) | |
| cost-diff | 0 | (/.f64 t (-.f64 (+.f64 y x) z)) | |
| cost-diff | 384 | (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 149 |
| 0 | 41 | 149 |
| 1 | 71 | 149 |
| 2 | 124 | 149 |
| 3 | 227 | 149 |
| 4 | 384 | 149 |
| 5 | 643 | 149 |
| 6 | 1217 | 149 |
| 7 | 2529 | 149 |
| 8 | 4310 | 149 |
| 9 | 5895 | 149 |
| 10 | 7442 | 149 |
| 11 | 7547 | 149 |
| 12 | 7587 | 149 |
| 13 | 7613 | 149 |
| 14 | 7893 | 149 |
| 0 | 8011 | 149 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) |
#s(literal 1/2 binary64) |
(/.f64 t (-.f64 (+.f64 y x) z)) |
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 y z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (- (+ x y) z) (-.f64 y z)) |
(-.f64 y z) |
y |
z |
(*.f64 t #s(literal 2 binary64)) |
t |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) |
(*.f64 (-.f64 (-.f64 z x) y) (/.f64 #s(literal -1/2 binary64) t)) |
#s(literal 1/2 binary64) |
(/.f64 t (-.f64 (+.f64 y x) z)) |
(/.f64 t (-.f64 (+.f64 x y) z)) |
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 y z)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 #s(literal 2 binary64) t)) |
#s(approx (- (+ x y) z) (-.f64 y z)) |
(-.f64 y z) |
y |
z |
(*.f64 t #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) t) |
t |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0 | (*.f64 t #s(literal 2 binary64)) | |
| accuracy | 0.0234375 | (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) | |
| accuracy | 25.664236071299932 | #s(approx (- (+ x y) z) (-.f64 y 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 | 16.641489716778104 | #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 | 35.61862848952118 | #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 | 0.2109375 | (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) | |
| accuracy | 42.87290117938571 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) | |
| accuracy | 0 | (-.f64 (+.f64 y x) z) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.0078125 | (/.f64 t (-.f64 (+.f64 y x) z)) | |
| accuracy | 0.171875 | (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) |
| 34.0ms | 256× | 0 | valid |
Compiled 272 to 53 computations (80.5% saved)
ival-div: 9.0ms (44.7% of total)ival-mult: 5.0ms (24.8% of total)ival-sub: 3.0ms (14.9% of total)ival-add: 3.0ms (14.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) |
(/.f64 t (-.f64 (+.f64 y x) z)) |
(-.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 y z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (- (+ x y) z) (-.f64 y z)) |
(-.f64 y z) |
(*.f64 t #s(literal 2 binary64)) |
| Outputs |
|---|
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(/ t (- y z)) |
(+ (* -1 (/ (* t x) (pow (- y z) 2))) (/ t (- y z))) |
(+ (* x (- (/ (* t x) (pow (- y z) 3)) (/ t (pow (- y z) 2)))) (/ t (- y z))) |
(+ (* x (- (* x (- (* -1 (/ (* t x) (pow (- y z) 4))) (* -1 (/ t (pow (- y z) 3))))) (/ t (pow (- y z) 2)))) (/ t (- y z))) |
(- 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)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(/ t x) |
(/ (+ t (* -1 (/ (* t (- y z)) x))) x) |
(/ (- (+ t (/ (* t (pow (- y z) 2)) (pow x 2))) (/ (* t (- y z)) x)) x) |
(/ (- (+ t (* -1 (/ (* t (pow (- y z) 3)) (pow x 3)))) (+ (* -1 (/ (* t (pow (- y z) 2)) (pow x 2))) (/ (* t (- y z)) x))) x) |
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)))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (/ (+ (* -1 t) (/ (* t (- y z)) x)) x)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- y z) 2)) x) (* t (- y z))) x))) x)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- y z) 3)) x) (* t (pow (- y z) 2))) x)) (* t (- y z))) x))) x)) |
(* -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)))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(/ t (- x z)) |
(+ (* -1 (/ (* t y) (pow (- x z) 2))) (/ t (- x z))) |
(+ (* y (- (/ (* t y) (pow (- x z) 3)) (/ t (pow (- x z) 2)))) (/ t (- x z))) |
(+ (* y (- (* y (- (* -1 (/ (* t y) (pow (- x z) 4))) (* -1 (/ t (pow (- x z) 3))))) (/ t (pow (- x z) 2)))) (/ t (- x z))) |
(- x z) |
(* -1 z) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(/ t y) |
(/ (+ t (* -1 (/ (* t (- x z)) y))) y) |
(/ (- (+ t (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y)) y) |
(/ (- (+ t (* -1 (/ (* t (pow (- x z) 3)) (pow y 3)))) (+ (* -1 (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y))) y) |
(* 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)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (/ (+ (* -1 t) (/ (* t (- x z)) y)) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- x z) 2)) y) (* t (- x z))) y))) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- x z) 3)) y) (* t (pow (- x z) 2))) y)) (* t (- x z))) y))) y)) |
(* -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 (* y (- (/ z y) 1))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(/ t (+ x y)) |
(+ (/ t (+ x y)) (/ (* t z) (pow (+ x y) 2))) |
(+ (* z (- (/ (* t z) (pow (+ x y) 3)) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y))) |
(+ (* z (- (* z (- (/ (* t z) (pow (+ x y) 4)) (* -1 (/ t (pow (+ x y) 3))))) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y))) |
(+ x (+ y (* -1 z))) |
(* -1/2 (/ z t)) |
(+ y (* -1 z)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* -1 (/ t z)) |
(/ (+ (* -1 t) (* -1 (/ (* t (+ x y)) z))) z) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 2)) (pow z 2)))) (/ (* t (+ x y)) z)) z) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 3)) (pow z 3)))) (+ (/ (* t (+ x y)) z) (/ (* t (pow (+ x y) 2)) (pow z 2)))) z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (/ y z) 1)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (/ (+ t (/ (* t (+ x y)) z)) z)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow (+ x y) 2)) z)) (* t (+ x y))) z))) z)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (+ x y) 3)) z) (* -1 (* t (pow (+ x y) 2)))) z)) (* t (+ x y))) z))) z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/ t (- (+ x y) z)) |
(/ -1/2 t) |
(/ (+ x y) t) |
(* 2 t) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | 0 | ((/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ 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) (- y z) (* t 2)) |
| 4.0ms | t | @ | 0 | ((/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ 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) (- y z) (* t 2)) |
| 3.0ms | t | @ | inf | ((/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ 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) (- y z) (* t 2)) |
| 2.0ms | t | @ | -inf | ((/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ 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) (- y z) (* t 2)) |
| 2.0ms | x | @ | inf | ((/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ 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) (- y z) (* t 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 340 | 1158 |
| 1 | 1049 | 1111 |
| 2 | 3101 | 1041 |
| 0 | 8495 | 1007 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(/ t (- y z)) |
(+ (* -1 (/ (* t x) (pow (- y z) 2))) (/ t (- y z))) |
(+ (* x (- (/ (* t x) (pow (- y z) 3)) (/ t (pow (- y z) 2)))) (/ t (- y z))) |
(+ (* x (- (* x (- (* -1 (/ (* t x) (pow (- y z) 4))) (* -1 (/ t (pow (- y z) 3))))) (/ t (pow (- y z) 2)))) (/ t (- y z))) |
(- 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)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(/ t x) |
(/ (+ t (* -1 (/ (* t (- y z)) x))) x) |
(/ (- (+ t (/ (* t (pow (- y z) 2)) (pow x 2))) (/ (* t (- y z)) x)) x) |
(/ (- (+ t (* -1 (/ (* t (pow (- y z) 3)) (pow x 3)))) (+ (* -1 (/ (* t (pow (- y z) 2)) (pow x 2))) (/ (* t (- y z)) x))) x) |
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)))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (/ (+ (* -1 t) (/ (* t (- y z)) x)) x)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- y z) 2)) x) (* t (- y z))) x))) x)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- y z) 3)) x) (* t (pow (- y z) 2))) x)) (* t (- y z))) x))) x)) |
(* -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)))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(/ t (- x z)) |
(+ (* -1 (/ (* t y) (pow (- x z) 2))) (/ t (- x z))) |
(+ (* y (- (/ (* t y) (pow (- x z) 3)) (/ t (pow (- x z) 2)))) (/ t (- x z))) |
(+ (* y (- (* y (- (* -1 (/ (* t y) (pow (- x z) 4))) (* -1 (/ t (pow (- x z) 3))))) (/ t (pow (- x z) 2)))) (/ t (- x z))) |
(- x z) |
(* -1 z) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(/ t y) |
(/ (+ t (* -1 (/ (* t (- x z)) y))) y) |
(/ (- (+ t (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y)) y) |
(/ (- (+ t (* -1 (/ (* t (pow (- x z) 3)) (pow y 3)))) (+ (* -1 (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y))) y) |
(* 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)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (/ (+ (* -1 t) (/ (* t (- x z)) y)) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- x z) 2)) y) (* t (- x z))) y))) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- x z) 3)) y) (* t (pow (- x z) 2))) y)) (* t (- x z))) y))) y)) |
(* -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 (* y (- (/ z y) 1))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(/ t (+ x y)) |
(+ (/ t (+ x y)) (/ (* t z) (pow (+ x y) 2))) |
(+ (* z (- (/ (* t z) (pow (+ x y) 3)) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y))) |
(+ (* z (- (* z (- (/ (* t z) (pow (+ x y) 4)) (* -1 (/ t (pow (+ x y) 3))))) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y))) |
(+ x (+ y (* -1 z))) |
(* -1/2 (/ z t)) |
(+ y (* -1 z)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* -1 (/ t z)) |
(/ (+ (* -1 t) (* -1 (/ (* t (+ x y)) z))) z) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 2)) (pow z 2)))) (/ (* t (+ x y)) z)) z) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 3)) (pow z 3)))) (+ (/ (* t (+ x y)) z) (/ (* t (pow (+ x y) 2)) (pow z 2)))) z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (/ y z) 1)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (/ (+ t (/ (* t (+ x y)) z)) z)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow (+ x y) 2)) z)) (* t (+ x y))) z))) z)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (+ x y) 3)) z) (* -1 (* t (pow (+ x y) 2)))) z)) (* t (+ x y))) z))) z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/ t (- (+ x y) z)) |
(/ -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 z) t) (/.f64 y t)) #s(literal 1/2 binary64)) |
(/ t (- y z)) |
(/.f64 t (-.f64 y z)) |
(+ (* -1 (/ (* t x) (pow (- y z) 2))) (/ t (- y z))) |
(fma.f64 (/.f64 x (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (neg.f64 t) (/.f64 t (-.f64 y z))) |
(+ (* x (- (/ (* t x) (pow (- y z) 3)) (/ t (pow (- y z) 2)))) (/ t (- y z))) |
(fma.f64 (*.f64 (/.f64 t (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 x (-.f64 y z)))) x (/.f64 t (-.f64 y z))) |
(+ (* x (- (* x (- (* -1 (/ (* t x) (pow (- y z) 4))) (* -1 (/ t (pow (- y z) 3))))) (/ t (pow (- y z) 2)))) (/ t (- y z))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (-.f64 y z) #s(literal 4 binary64))) (neg.f64 t) (/.f64 t (pow.f64 (-.f64 y z) #s(literal 3 binary64)))) x (/.f64 (neg.f64 t) (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) x (/.f64 t (-.f64 y z))) |
(- 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 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(/ y t) |
(/.f64 y t) |
(+ (/ x t) (/ y t)) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 x y)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y z) t) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) x) |
(/ t x) |
(/.f64 t x) |
(/ (+ t (* -1 (/ (* t (- y z)) x))) x) |
(/.f64 (-.f64 t (/.f64 (*.f64 (-.f64 y z) t) x)) x) |
(/ (- (+ t (/ (* t (pow (- y z) 2)) (pow x 2))) (/ (* t (- y z)) x)) x) |
(/.f64 (fma.f64 (/.f64 t x) (-.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x) (-.f64 y z)) t) x) |
(/ (- (+ t (* -1 (/ (* t (pow (- y z) 3)) (pow x 3)))) (+ (* -1 (/ (* t (pow (- y z) 2)) (pow x 2))) (/ (* t (- y z)) x))) x) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 y z) x) #s(literal 3 binary64))) t (fma.f64 (/.f64 t x) (-.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x) (-.f64 y z)) t)) x) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(fma.f64 (/.f64 (-.f64 y z) x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (/.f64 y x) t) x (/.f64 x t))) |
(* x (+ (/ 1 t) (/ y (* t x)))) |
(fma.f64 (/.f64 (/.f64 y x) t) x (/.f64 x t)) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y z) t) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) x) |
(* -1 (/ (+ (* -1 t) (/ (* t (- y z)) x)) x)) |
(/.f64 (-.f64 t (/.f64 (*.f64 (-.f64 y z) t) x)) x) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- y z) 2)) x) (* t (- y z))) x))) x)) |
(/.f64 (fma.f64 (/.f64 t x) (-.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x) (-.f64 y z)) t) x) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- y z) 3)) x) (* t (pow (- y z) 2))) x)) (* t (- y z))) x))) x)) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 y z) x) #s(literal 3 binary64))) t (fma.f64 (/.f64 t x) (-.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x) (-.f64 y z)) t)) x) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y z) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (/.f64 y x) t) x (/.f64 x t))) |
(* -1 (* x (- (* -1 (/ y (* t x))) (/ 1 t)))) |
(fma.f64 (/.f64 (/.f64 y x) t) x (/.f64 x 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) t) (/.f64 y t)) #s(literal 1/2 binary64)) |
(/ t (- x z)) |
(/.f64 t (-.f64 x z)) |
(+ (* -1 (/ (* t y) (pow (- x z) 2))) (/ t (- x z))) |
(fma.f64 (/.f64 y (pow.f64 (-.f64 x z) #s(literal 2 binary64))) (neg.f64 t) (/.f64 t (-.f64 x z))) |
(+ (* y (- (/ (* t y) (pow (- x z) 3)) (/ t (pow (- x z) 2)))) (/ t (- x z))) |
(fma.f64 (*.f64 (/.f64 t (pow.f64 (-.f64 x z) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 y (-.f64 x z)))) y (/.f64 t (-.f64 x z))) |
(+ (* y (- (* y (- (* -1 (/ (* t y) (pow (- x z) 4))) (* -1 (/ t (pow (- x z) 3))))) (/ t (pow (- x z) 2)))) (/ t (- x z))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 x z) #s(literal 4 binary64))) (neg.f64 t) (/.f64 t (pow.f64 (-.f64 x z) #s(literal 3 binary64)))) y (/.f64 (neg.f64 t) (pow.f64 (-.f64 x z) #s(literal 2 binary64)))) y (/.f64 t (-.f64 x z))) |
(- x z) |
(-.f64 x z) |
(* -1 z) |
(neg.f64 z) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 x z) t) y) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) y) |
(/ t y) |
(/.f64 t y) |
(/ (+ t (* -1 (/ (* t (- x z)) y))) y) |
(/.f64 (fma.f64 (/.f64 (-.f64 x z) y) (neg.f64 t) t) y) |
(/ (- (+ t (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y)) y) |
(/.f64 (fma.f64 (/.f64 t y) (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) (-.f64 x z)) t) y) |
(/ (- (+ t (* -1 (/ (* t (pow (- x z) 3)) (pow y 3)))) (+ (* -1 (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y))) y) |
(/.f64 (fma.f64 (/.f64 t y) (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) (-.f64 x z)) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) (neg.f64 t) t)) y) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(fma.f64 (/.f64 (-.f64 x z) y) y y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (/.f64 x y) t) y (/.f64 y t))) |
(* y (+ (/ 1 t) (/ x (* t y)))) |
(fma.f64 (/.f64 (/.f64 x y) t) y (/.f64 y t)) |
(* y (+ 1 (* -1 (/ z y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 x z) t) y) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) y) |
(* -1 (/ (+ (* -1 t) (/ (* t (- x z)) y)) y)) |
(/.f64 (fma.f64 (/.f64 (-.f64 x z) y) (neg.f64 t) t) y) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- x z) 2)) y) (* t (- x z))) y))) y)) |
(/.f64 (fma.f64 (/.f64 t y) (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) (-.f64 x z)) t) y) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- x z) 3)) y) (* t (pow (- x z) 2))) y)) (* t (- x z))) y))) y)) |
(/.f64 (fma.f64 (/.f64 t y) (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) (-.f64 x z)) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) (neg.f64 t) t)) y) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 x z) y))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (/.f64 x y) t) y (/.f64 y t))) |
(* -1 (* y (- (* -1 (/ x (* t y))) (/ 1 t)))) |
(fma.f64 (/.f64 (/.f64 x y) t) y (/.f64 y t)) |
(* -1 (* y (- (/ z y) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) |
(* 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)) |
(/ t (+ x y)) |
(/.f64 t (+.f64 x y)) |
(+ (/ t (+ x y)) (/ (* t z) (pow (+ x y) 2))) |
(*.f64 (+.f64 (/.f64 z (+.f64 x y)) #s(literal 1 binary64)) (/.f64 t (+.f64 x y))) |
(+ (* z (- (/ (* t z) (pow (+ x y) 3)) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y))) |
(fma.f64 (*.f64 (+.f64 (/.f64 z (+.f64 x y)) #s(literal 1 binary64)) (/.f64 t (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) z (/.f64 t (+.f64 x y))) |
(+ (* z (- (* z (- (/ (* t z) (pow (+ x y) 4)) (* -1 (/ t (pow (+ x y) 3))))) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (+.f64 x y) #s(literal 4 binary64))) t (/.f64 t (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) z (/.f64 t (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) z (/.f64 t (+.f64 x y))) |
(+ x (+ y (* -1 z))) |
(-.f64 (+.f64 x y) z) |
(* -1/2 (/ z t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(*.f64 (-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) z) (/.f64 #s(literal 1/2 binary64) t)) z) |
(* -1 (/ t z)) |
(/.f64 (neg.f64 t) z) |
(/ (+ (* -1 t) (* -1 (/ (* t (+ x y)) z))) z) |
(/.f64 (fma.f64 (+.f64 x y) (/.f64 t z) t) (neg.f64 z)) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 2)) (pow z 2)))) (/ (* t (+ x y)) z)) z) |
(/.f64 (fma.f64 (/.f64 t z) (+.f64 (+.f64 x y) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) z)) t) (neg.f64 z)) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 3)) (pow z 3)))) (+ (/ (* t (+ x y)) z) (/ (* t (pow (+ x y) 2)) (pow z 2)))) z) |
(/.f64 (fma.f64 t (-.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3 binary64))) (*.f64 (+.f64 (/.f64 (+.f64 x y) z) #s(literal 1 binary64)) (/.f64 (+.f64 x y) z))) (neg.f64 t)) z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(fma.f64 (+.f64 (/.f64 y z) (/.f64 x z)) z (neg.f64 z)) |
(* z (- (/ y z) 1)) |
(*.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) z) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(*.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 x y)) z) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) t))) |
(* -1 (/ (+ t (/ (* t (+ x y)) z)) z)) |
(/.f64 (fma.f64 (+.f64 x y) (/.f64 t z) t) (neg.f64 z)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow (+ x y) 2)) z)) (* t (+ x y))) z))) z)) |
(/.f64 (fma.f64 (/.f64 t z) (+.f64 (+.f64 x y) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) z)) t) (neg.f64 z)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (+ x y) 3)) z) (* -1 (* t (pow (+ x y) 2)))) z)) (* t (+ x y))) z))) z)) |
(/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 x y) t (/.f64 (*.f64 t (+.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) z) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) z))) z) t) z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(fma.f64 (/.f64 (+.f64 x y) z) z (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(*.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) z) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64)) |
(/ t (- (+ x y) z)) |
(/.f64 t (-.f64 (+.f64 x y) z)) |
(/ -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 | 127 |
| 0 | 41 | 127 |
| 1 | 171 | 127 |
| 2 | 1142 | 127 |
| 0 | 8459 | 127 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) |
(/.f64 t (-.f64 (+.f64 y x) z)) |
(-.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 y z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (- (+ x y) z) (-.f64 y z)) |
(-.f64 y z) |
(*.f64 t #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (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 #s(literal 1/2 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64))) (/.f64 (pow.f64 t #s(literal -1 binary64)) (+.f64 z (+.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 t #s(literal -1 binary64)) (fma.f64 z (+.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) |
(*.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 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 z (+.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) t) (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)) (pow.f64 t #s(literal -1 binary64))) |
(*.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 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 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 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 2 binary64) t)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) (/.f64 z (*.f64 #s(literal 2 binary64) t))))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) z) t) #s(literal -1/2 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 #s(literal 1/2 binary64) t) (-.f64 (+.f64 x y) z)) |
(*.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)) (pow.f64 (*.f64 (pow.f64 (-.f64 (+.f64 x y) z) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 (-.f64 (+.f64 x y) z) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (-.f64 (+.f64 x y) z) t) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 x y) z)))) |
(*.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 (/.f64 #s(literal -1/2 binary64) t) (fma.f64 #s(literal -1 binary64) (+.f64 x y) z)) |
(*.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 #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)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x t) #s(literal 1/2 binary64)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t)) (*.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t)))) (-.f64 (*.f64 (/.f64 x t) #s(literal 1/2 binary64)) (*.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) t)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x z) (/.f64 #s(literal 1/2 binary64) t)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) t)) (*.f64 y (/.f64 #s(literal 1/2 binary64) t)) (-.f64 (*.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 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.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 (/.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 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x) (-.f64 (*.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)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 x z)))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 x y) t) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x t) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x t) #s(literal 1/2 binary64)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t)) (*.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t))) (*.f64 (*.f64 (/.f64 x t) #s(literal 1/2 binary64)) (*.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (+.f64 x y) z) #s(literal 1/2 binary64))) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1/2 binary64) t))) (neg.f64 (+.f64 z (+.f64 x y)))) |
(/.f64 (neg.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))) (neg.f64 (fma.f64 z (+.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)))) (neg.f64 (+.f64 z (+.f64 x y)))) |
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(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) t) (*.f64 (pow.f64 t #s(literal -1 binary64)) y)) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 y (pow.f64 t #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 t #s(literal -1 binary64)) y)) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) x (*.f64 y (pow.f64 t #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) x (*.f64 (pow.f64 t #s(literal -1 binary64)) y)) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) y (/.f64 x t)) |
(fma.f64 #s(literal 1 binary64) (/.f64 x t) (*.f64 y (pow.f64 t #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x t) (*.f64 (pow.f64 t #s(literal -1 binary64)) y)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) t) (*.f64 y (pow.f64 t #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) t) (*.f64 (pow.f64 t #s(literal -1 binary64)) y)) |
(fma.f64 x (pow.f64 t #s(literal -1 binary64)) (*.f64 y (pow.f64 t #s(literal -1 binary64)))) |
(fma.f64 x (pow.f64 t #s(literal -1 binary64)) (*.f64 (pow.f64 t #s(literal -1 binary64)) y)) |
(fma.f64 y (pow.f64 t #s(literal -1 binary64)) (/.f64 x t)) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 t (-.f64 x y))) (/.f64 (*.f64 y y) (*.f64 t (-.f64 x y)))) |
(-.f64 (/.f64 (*.f64 y y) (*.f64 t (-.f64 y x))) (/.f64 (*.f64 x x) (*.f64 t (-.f64 y x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 (neg.f64 (+.f64 x y)) t)) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) t) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) t)) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y x)) t) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) t)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (+.f64 x y)) t)) |
(exp.f64 (*.f64 (log.f64 (/.f64 t (+.f64 x y))) #s(literal -1 binary64))) |
(+.f64 (*.f64 y (pow.f64 t #s(literal -1 binary64))) (/.f64 x t)) |
(+.f64 (*.f64 (pow.f64 t #s(literal -1 binary64)) y) (/.f64 x t)) |
(+.f64 (/.f64 x t) (*.f64 y (pow.f64 t #s(literal -1 binary64)))) |
(+.f64 (/.f64 x t) (*.f64 (pow.f64 t #s(literal -1 binary64)) y)) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) #s(approx (- (+ x y) z) (-.f64 y z))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) #s(approx (- (+ x y) z) (-.f64 y z))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(approx (- (+ x y) z) (-.f64 y z)) #s(literal 1/2 binary64)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (neg.f64 t)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (/.f64 #s(literal -1/2 binary64) t))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (pow.f64 (pow.f64 #s(approx (- (+ x y) z) (-.f64 y z)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 y z))) |
(*.f64 (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) t) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (+ x y) z) (-.f64 y z))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 #s(approx (- (+ x y) z) (-.f64 y z)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 y z)))) |
(*.f64 (neg.f64 #s(approx (- (+ x y) z) (-.f64 y z))) (/.f64 #s(literal -1/2 binary64) t)) |
(*.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (/.f64 #s(literal 1/2 binary64) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (neg.f64 t))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) t)) |
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) #s(approx (- (+ x y) z) (-.f64 y z))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(approx (- (+ x y) z) (-.f64 y z)) #s(literal 1/2 binary64))) (neg.f64 t)) |
(/.f64 (*.f64 #s(approx (- (+ x y) z) (-.f64 y z)) #s(literal 1/2 binary64)) t) |
(/.f64 (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (neg.f64 t)) #s(literal -2 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) t) #s(approx (- (+ x y) z) (-.f64 y z)))) |
(/.f64 (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) t) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 #s(approx (- (+ x y) z) (-.f64 y z)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) t) #s(approx (- (+ x y) z) (-.f64 y z)))) |
(/.f64 (neg.f64 #s(approx (- (+ x y) z) (-.f64 y z))) (*.f64 #s(literal -2 binary64) t)) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 #s(literal 2 binary64) t)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) t) #s(approx (- (+ x y) z) (-.f64 y z))))) |
(neg.f64 (/.f64 (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) t) #s(literal -2 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (/.f64 #s(literal -1/2 binary64) t)))) |
(neg.f64 (*.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (/.f64 #s(literal -1/2 binary64) t))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) t)) (*.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (/.f64 #s(literal -1/2 binary64) t))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (/.f64 #s(literal -1/2 binary64) t))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) #s(approx (- (+ x y) z) (-.f64 y z)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- (+ x y) z) (-.f64 y z)))) |
(*.f64 #s(literal 1 binary64) #s(approx (- (+ x y) z) (-.f64 y z))) |
(*.f64 #s(approx (- (+ x y) z) (-.f64 y z)) #s(literal 1 binary64)) |
#s(approx (- (+ x y) z) (-.f64 y z)) |
(neg.f64 (neg.f64 #s(approx (- (+ x y) z) (-.f64 y z)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- (+ x y) z) (-.f64 y z)))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 z y)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (+.f64 z y) (*.f64 y y))))) |
(*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (pow.f64 (+.f64 z y) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 y z)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 y (neg.f64 z)))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 y y) (+.f64 z y))) (*.f64 (/.f64 (*.f64 z z) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y)))) (+.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y)))) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 y y)) (-.f64 (neg.f64 z) y)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (+.f64 z y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 y y) (+.f64 z y)) (fma.f64 (/.f64 (*.f64 z z) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y)) (*.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 y y) (*.f64 (neg.f64 z) y)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 y) y (*.f64 z z))) (neg.f64 (neg.f64 (+.f64 z y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (+.f64 z y) (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 z y)) (*.f64 (+.f64 z y) (*.f64 z z))) (*.f64 (+.f64 z y) (+.f64 z y))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (fma.f64 z (+.f64 z y) (*.f64 y y)))) |
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) (neg.f64 (+.f64 z y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 y (neg.f64 z)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)))) |
(/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (+.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 y (neg.f64 z)))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y z))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 y (neg.f64 z))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z y) (*.f64 y y))) |
(neg.f64 (fma.f64 #s(literal -1 binary64) y z)) |
(fma.f64 #s(literal -1 binary64) z y) |
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 z z) (+.f64 z y)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))))) |
(-.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 (/.f64 (*.f64 y y) (+.f64 z y)) (neg.f64 (/.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))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))))) |
(+.f64 (neg.f64 z) y) |
(+.f64 y (neg.f64 z)) |
(*.f64 #s(literal -2 binary64) (neg.f64 t)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) t)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) t)) |
(*.f64 (neg.f64 t) #s(literal -2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)) |
(*.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 #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 22 961 to 3 231 computations (85.9% saved)
13 alts after pruning (10 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 004 | 6 | 1 010 |
| Fresh | 2 | 4 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 008 | 13 | 1 021 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 70.8% | (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
| 99.6% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t)) | |
| ▶ | 62.5% | (/.f64 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ y x) z) (-.f64 y z)))) |
| 73.8% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t (+.f64 x y)))) | |
| ▶ | 99.7% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) |
| 62.5% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 y z))) | |
| ▶ | 33.0% | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
| ✓ | 74.0% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
| 67.3% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) t) #s(literal 1/2 binary64))) | |
| ✓ | 44.3% | #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)) | |
| ✓ | 32.9% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
| ▶ | 34.0% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
Compiled 345 to 288 computations (16.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | #s(approx (- (+ y x) z) (-.f64 y z)) | |
| cost-diff | 0 | (/.f64 t #s(approx (- (+ y x) z) (-.f64 y z))) | |
| cost-diff | 384 | (/.f64 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ y x) z) (-.f64 y z)))) | |
| 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 #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 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 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 | 33 | 170 |
| 0 | 47 | 170 |
| 1 | 74 | 170 |
| 2 | 141 | 170 |
| 3 | 259 | 170 |
| 4 | 405 | 170 |
| 5 | 663 | 170 |
| 6 | 1279 | 170 |
| 7 | 2586 | 170 |
| 8 | 4300 | 170 |
| 9 | 5992 | 170 |
| 10 | 7716 | 170 |
| 11 | 7879 | 170 |
| 12 | 7943 | 170 |
| 13 | 7981 | 170 |
| 0 | 8092 | 170 |
| 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 #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) 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 |
(/.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) |
(/.f64 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ y x) z) (-.f64 y z)))) |
#s(literal 1/2 binary64) |
(/.f64 t #s(approx (- (+ y x) z) (-.f64 y z))) |
t |
#s(approx (- (+ y x) z) (-.f64 y z)) |
(-.f64 y z) |
y |
z |
| 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 #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) z) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(*.f64 (/.f64 z t) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
t |
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(approx (- (+ y x) z) (-.f64 x z)) (*.f64 #s(literal 2 binary64) t)) |
#s(approx (- (+ x y) z) (-.f64 x z)) |
#s(approx (- (+ y x) 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) |
(/.f64 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ y x) z) (-.f64 y z)))) |
(*.f64 #s(approx (- (+ y x) z) (-.f64 y z)) (/.f64 #s(literal 1/2 binary64) t)) |
#s(literal 1/2 binary64) |
(/.f64 t #s(approx (- (+ y x) z) (-.f64 y z))) |
t |
#s(approx (- (+ y x) z) (-.f64 y z)) |
(-.f64 y z) |
y |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0.0078125 | (/.f64 t #s(approx (- (+ y x) z) (-.f64 y z))) | |
| accuracy | 0.171875 | (/.f64 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ y x) z) (-.f64 y z)))) | |
| accuracy | 25.664236071299932 | #s(approx (- (+ y x) z) (-.f64 y z)) | |
| accuracy | 0 | (-.f64 x z) | |
| accuracy | 0 | (*.f64 t #s(literal 2 binary64)) | |
| accuracy | 0.0234375 | (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) | |
| accuracy | 19.927170393118885 | #s(approx (- (+ x y) z) (-.f64 x z)) | |
| accuracy | 0 | (/.f64 (*.f64 #s(literal -1/2 binary64) z) t) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) z) | |
| accuracy | 42.87290117938571 | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) | |
| accuracy | 0 | (/.f64 y t) | |
| accuracy | 0 | (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)) | |
| accuracy | 16.641489716778104 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) | |
| accuracy | 34.38866817089078 | #s(approx (/ (+ y x) t) (/.f64 y t)) | |
| accuracy | 0 | (/.f64 #s(literal 1/2 binary64) t) | |
| accuracy | 0 | (-.f64 (+.f64 y x) z) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.1875 | (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) |
| 36.0ms | 256× | 0 | valid |
Compiled 296 to 60 computations (79.7% saved)
ival-div: 11.0ms (49.2% of total)ival-mult: 5.0ms (22.4% of total)ival-sub: 4.0ms (17.9% of total)ival-add: 2.0ms (8.9% 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 #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) z) t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(*.f64 #s(literal -1/2 binary64) z) |
(/.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)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ y x) z) (-.f64 y z)))) |
(/.f64 t #s(approx (- (+ y x) z) (-.f64 y z))) |
#s(approx (- (+ y x) z) (-.f64 y z)) |
(-.f64 y z) |
| 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 (/ y t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(/ y t) |
(+ (/ x t) (/ y t)) |
(* -1 z) |
(- x z) |
(/ t (- y z)) |
(+ (* -1 (/ (* t x) (pow (- y z) 2))) (/ t (- y z))) |
(+ (* x (- (/ (* t x) (pow (- y z) 3)) (/ t (pow (- y z) 2)))) (/ t (- y z))) |
(+ (* x (- (* x (- (* -1 (/ (* t x) (pow (- y z) 4))) (* -1 (/ t (pow (- y z) 3))))) (/ t (pow (- y z) 2)))) (/ t (- y 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 (/ y x))) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(/ x t) |
(* x (+ (/ 1 t) (/ y (* t x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
(/ t x) |
(/ (+ t (* -1 (/ (* t (- y z)) x))) x) |
(/ (- (+ t (/ (* t (pow (- y z) 2)) (pow x 2))) (/ (* t (- y z)) x)) x) |
(/ (- (+ t (* -1 (/ (* t (pow (- y z) 3)) (pow x 3)))) (+ (* -1 (/ (* t (pow (- y z) 2)) (pow x 2))) (/ (* t (- y z)) x))) 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 (/ (+ (* -1 t) (/ (* t (- y z)) x)) x)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- y z) 2)) x) (* t (- y z))) x))) x)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- y z) 3)) x) (* t (pow (- y z) 2))) x)) (* t (- y z))) x))) x)) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(/ t (- x z)) |
(+ (* -1 (/ (* t y) (pow (- x z) 2))) (/ t (- x z))) |
(+ (* y (- (/ (* t y) (pow (- x z) 3)) (/ t (pow (- x z) 2)))) (/ t (- x z))) |
(+ (* y (- (* y (- (* -1 (/ (* t y) (pow (- x z) 4))) (* -1 (/ t (pow (- x z) 3))))) (/ t (pow (- x z) 2)))) (/ t (- x z))) |
(* 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)))) |
(/ t y) |
(/ (+ t (* -1 (/ (* t (- x z)) y))) y) |
(/ (- (+ t (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y)) y) |
(/ (- (+ t (* -1 (/ (* t (pow (- x z) 3)) (pow y 3)))) (+ (* -1 (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y))) y) |
(* y (+ 1 (* -1 (/ z 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 (/ (+ (* -1 t) (/ (* t (- x z)) y)) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- x z) 2)) y) (* t (- x z))) y))) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- x z) 3)) y) (* t (pow (- x z) 2))) y)) (* t (- x z))) y))) y)) |
(* -1 (* y (- (/ z y) 1))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ x (+ y (* -1 z))) |
(* -1/2 (/ z t)) |
(* -1/2 z) |
(+ x (* -1 z)) |
(/ t (+ x y)) |
(+ (/ t (+ x y)) (/ (* t z) (pow (+ x y) 2))) |
(+ (* z (- (/ (* t z) (pow (+ x y) 3)) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y))) |
(+ (* z (- (* z (- (/ (* t z) (pow (+ x y) 4)) (* -1 (/ t (pow (+ x y) 3))))) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y))) |
(+ y (* -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 (/ t z)) |
(/ (+ (* -1 t) (* -1 (/ (* t (+ x y)) z))) z) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 2)) (pow z 2)))) (/ (* t (+ x y)) z)) z) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 3)) (pow z 3)))) (+ (/ (* t (+ x y)) z) (/ (* t (pow (+ x y) 2)) (pow z 2)))) z) |
(* 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 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (/ (+ t (/ (* t (+ x y)) z)) z)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow (+ x y) 2)) z)) (* t (+ x y))) z))) z)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (+ x y) 3)) z) (* -1 (* t (pow (+ x y) 2)))) z)) (* t (+ x y))) z))) z)) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/ 1/2 t) |
(/ (+ x y) t) |
(* 2 t) |
(/ t (- (+ x y) z)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | t | @ | -inf | ((* (/ 1/2 t) (- (+ y x) z)) (/ 1/2 t) (- (+ y x) z) (+ y x) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (/ y t) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (* t 2) (/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ y x) z) (- y z)) |
| 2.0ms | z | @ | -inf | ((* (/ 1/2 t) (- (+ y x) z)) (/ 1/2 t) (- (+ y x) z) (+ y x) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (/ y t) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (* t 2) (/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ y x) z) (- y z)) |
| 2.0ms | t | @ | 0 | ((* (/ 1/2 t) (- (+ y x) z)) (/ 1/2 t) (- (+ y x) z) (+ y x) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (/ y t) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (* t 2) (/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ y x) z) (- y z)) |
| 2.0ms | t | @ | inf | ((* (/ 1/2 t) (- (+ y x) z)) (/ 1/2 t) (- (+ y x) z) (+ y x) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (/ y t) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (* t 2) (/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ y x) z) (- y z)) |
| 1.0ms | y | @ | -inf | ((* (/ 1/2 t) (- (+ y x) z)) (/ 1/2 t) (- (+ y x) z) (+ y x) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (/ y t) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (* t 2) (/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (- (+ y x) z) (- y z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 354 | 1194 |
| 1 | 1091 | 1145 |
| 2 | 3235 | 1075 |
| 0 | 8304 | 1041 |
| 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 (/ y t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(/ y t) |
(+ (/ x t) (/ y t)) |
(* -1 z) |
(- x z) |
(/ t (- y z)) |
(+ (* -1 (/ (* t x) (pow (- y z) 2))) (/ t (- y z))) |
(+ (* x (- (/ (* t x) (pow (- y z) 3)) (/ t (pow (- y z) 2)))) (/ t (- y z))) |
(+ (* x (- (* x (- (* -1 (/ (* t x) (pow (- y z) 4))) (* -1 (/ t (pow (- y z) 3))))) (/ t (pow (- y z) 2)))) (/ t (- y 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 (/ y x))) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(/ x t) |
(* x (+ (/ 1 t) (/ y (* t x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
(/ t x) |
(/ (+ t (* -1 (/ (* t (- y z)) x))) x) |
(/ (- (+ t (/ (* t (pow (- y z) 2)) (pow x 2))) (/ (* t (- y z)) x)) x) |
(/ (- (+ t (* -1 (/ (* t (pow (- y z) 3)) (pow x 3)))) (+ (* -1 (/ (* t (pow (- y z) 2)) (pow x 2))) (/ (* t (- y z)) x))) 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 (/ (+ (* -1 t) (/ (* t (- y z)) x)) x)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- y z) 2)) x) (* t (- y z))) x))) x)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- y z) 3)) x) (* t (pow (- y z) 2))) x)) (* t (- y z))) x))) x)) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(/ t (- x z)) |
(+ (* -1 (/ (* t y) (pow (- x z) 2))) (/ t (- x z))) |
(+ (* y (- (/ (* t y) (pow (- x z) 3)) (/ t (pow (- x z) 2)))) (/ t (- x z))) |
(+ (* y (- (* y (- (* -1 (/ (* t y) (pow (- x z) 4))) (* -1 (/ t (pow (- x z) 3))))) (/ t (pow (- x z) 2)))) (/ t (- x z))) |
(* 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)))) |
(/ t y) |
(/ (+ t (* -1 (/ (* t (- x z)) y))) y) |
(/ (- (+ t (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y)) y) |
(/ (- (+ t (* -1 (/ (* t (pow (- x z) 3)) (pow y 3)))) (+ (* -1 (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y))) y) |
(* y (+ 1 (* -1 (/ z 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 (/ (+ (* -1 t) (/ (* t (- x z)) y)) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- x z) 2)) y) (* t (- x z))) y))) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- x z) 3)) y) (* t (pow (- x z) 2))) y)) (* t (- x z))) y))) y)) |
(* -1 (* y (- (/ z y) 1))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ x (+ y (* -1 z))) |
(* -1/2 (/ z t)) |
(* -1/2 z) |
(+ x (* -1 z)) |
(/ t (+ x y)) |
(+ (/ t (+ x y)) (/ (* t z) (pow (+ x y) 2))) |
(+ (* z (- (/ (* t z) (pow (+ x y) 3)) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y))) |
(+ (* z (- (* z (- (/ (* t z) (pow (+ x y) 4)) (* -1 (/ t (pow (+ x y) 3))))) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y))) |
(+ y (* -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 (/ t z)) |
(/ (+ (* -1 t) (* -1 (/ (* t (+ x y)) z))) z) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 2)) (pow z 2)))) (/ (* t (+ x y)) z)) z) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 3)) (pow z 3)))) (+ (/ (* t (+ x y)) z) (/ (* t (pow (+ x y) 2)) (pow z 2)))) z) |
(* 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 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (/ (+ t (/ (* t (+ x y)) z)) z)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow (+ x y) 2)) z)) (* t (+ x y))) z))) z)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (+ x y) 3)) z) (* -1 (* t (pow (+ x y) 2)))) z)) (* t (+ x y))) z))) z)) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/ 1/2 t) |
(/ (+ x y) t) |
(* 2 t) |
(/ t (- (+ x y) z)) |
| 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) t) (/.f64 y 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 (/ y t)) |
(*.f64 (/.f64 y t) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) |
(/ y t) |
(/.f64 y t) |
(+ (/ x t) (/ y t)) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 x y)) |
(* -1 z) |
(neg.f64 z) |
(- x z) |
(-.f64 x z) |
(/ t (- y z)) |
(/.f64 t (-.f64 y z)) |
(+ (* -1 (/ (* t x) (pow (- y z) 2))) (/ t (- y z))) |
(fma.f64 (/.f64 x (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (neg.f64 t) (/.f64 t (-.f64 y z))) |
(+ (* x (- (/ (* t x) (pow (- y z) 3)) (/ t (pow (- y z) 2)))) (/ t (- y z))) |
(fma.f64 (*.f64 (/.f64 t (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 x (-.f64 y z)))) x (/.f64 t (-.f64 y z))) |
(+ (* x (- (* x (- (* -1 (/ (* t x) (pow (- y z) 4))) (* -1 (/ t (pow (- y z) 3))))) (/ t (pow (- y z) 2)))) (/ t (- y z))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (-.f64 y z) #s(literal 4 binary64))) (neg.f64 t) (/.f64 t (pow.f64 (-.f64 y z) #s(literal 3 binary64)))) x (/.f64 (neg.f64 t) (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) x (/.f64 t (-.f64 y 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 (fma.f64 (/.f64 (/.f64 (-.f64 y z) t) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) x) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(fma.f64 (/.f64 (-.f64 y z) x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (/.f64 y x) t) x (/.f64 x t))) |
(/ x t) |
(/.f64 x t) |
(* x (+ (/ 1 t) (/ y (* t x)))) |
(fma.f64 (/.f64 (/.f64 y x) t) x (/.f64 x t)) |
(* x (+ 1 (* -1 (/ z x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x) |
(/ t x) |
(/.f64 t x) |
(/ (+ t (* -1 (/ (* t (- y z)) x))) x) |
(/.f64 (fma.f64 (neg.f64 t) (/.f64 (-.f64 y z) x) t) x) |
(/ (- (+ t (/ (* t (pow (- y z) 2)) (pow x 2))) (/ (* t (- y z)) x)) x) |
(/.f64 (fma.f64 (/.f64 t x) (-.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x) (-.f64 y z)) t) x) |
(/ (- (+ t (* -1 (/ (* t (pow (- y z) 3)) (pow x 3)))) (+ (* -1 (/ (* t (pow (- y z) 2)) (pow x 2))) (/ (* t (- y z)) x))) x) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 y z) x) #s(literal 3 binary64))) t (fma.f64 (/.f64 t x) (-.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x) (-.f64 y z)) t)) x) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y z) t) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) x) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y z) x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (/.f64 y x) t) x (/.f64 x t))) |
(* -1 (* x (- (* -1 (/ y (* t x))) (/ 1 t)))) |
(fma.f64 (/.f64 (/.f64 y x) t) x (/.f64 x t)) |
(* -1 (* x (- (/ z x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x) |
(* -1 (/ (+ (* -1 t) (/ (* t (- y z)) x)) x)) |
(/.f64 (fma.f64 (neg.f64 t) (/.f64 (-.f64 y z) x) t) x) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- y z) 2)) x) (* t (- y z))) x))) x)) |
(/.f64 (fma.f64 (/.f64 t x) (-.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x) (-.f64 y z)) t) x) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- y z) 3)) x) (* t (pow (- y z) 2))) x)) (* t (- y z))) x))) x)) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 y z) x) #s(literal 3 binary64))) t (fma.f64 (/.f64 t x) (-.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x) (-.f64 y z)) t)) 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 x z) t) (/.f64 y t)) #s(literal 1/2 binary64)) |
(/ t (- x z)) |
(/.f64 t (-.f64 x z)) |
(+ (* -1 (/ (* t y) (pow (- x z) 2))) (/ t (- x z))) |
(fma.f64 (/.f64 y (pow.f64 (-.f64 x z) #s(literal 2 binary64))) (neg.f64 t) (/.f64 t (-.f64 x z))) |
(+ (* y (- (/ (* t y) (pow (- x z) 3)) (/ t (pow (- x z) 2)))) (/ t (- x z))) |
(fma.f64 (*.f64 (/.f64 t (pow.f64 (-.f64 x z) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 y (-.f64 x z)))) y (/.f64 t (-.f64 x z))) |
(+ (* y (- (* y (- (* -1 (/ (* t y) (pow (- x z) 4))) (* -1 (/ t (pow (- x z) 3))))) (/ t (pow (- x z) 2)))) (/ t (- x z))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 x z) #s(literal 4 binary64))) (neg.f64 t) (/.f64 t (pow.f64 (-.f64 x z) #s(literal 3 binary64)))) y (/.f64 (neg.f64 t) (pow.f64 (-.f64 x z) #s(literal 2 binary64)))) y (/.f64 t (-.f64 x z))) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 x z) t) y) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) y) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(fma.f64 (/.f64 (-.f64 x z) y) y y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (/.f64 x y) t) y (/.f64 y t))) |
(* y (+ (/ 1 t) (/ x (* t y)))) |
(fma.f64 (/.f64 (/.f64 x y) t) y (/.f64 y t)) |
(/ t y) |
(/.f64 t y) |
(/ (+ t (* -1 (/ (* t (- x z)) y))) y) |
(/.f64 (fma.f64 (/.f64 (-.f64 x z) y) (neg.f64 t) t) y) |
(/ (- (+ t (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y)) y) |
(/.f64 (fma.f64 (/.f64 t y) (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) (-.f64 x z)) t) y) |
(/ (- (+ t (* -1 (/ (* t (pow (- x z) 3)) (pow y 3)))) (+ (* -1 (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y))) y) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 3 binary64))) t (fma.f64 (/.f64 t y) (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) (-.f64 x z)) t)) y) |
(* y (+ 1 (* -1 (/ z y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 x z) t) y) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) t)) y) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 x z) y))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (/.f64 x y) t) y (/.f64 y t))) |
(* -1 (* y (- (* -1 (/ x (* t y))) (/ 1 t)))) |
(fma.f64 (/.f64 (/.f64 x y) t) y (/.f64 y t)) |
(* -1 (/ (+ (* -1 t) (/ (* t (- x z)) y)) y)) |
(/.f64 (fma.f64 (/.f64 (-.f64 x z) y) (neg.f64 t) t) y) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- x z) 2)) y) (* t (- x z))) y))) y)) |
(/.f64 (fma.f64 (/.f64 t y) (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) (-.f64 x z)) t) y) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- x z) 3)) y) (* t (pow (- x z) 2))) y)) (* t (- x z))) y))) y)) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 3 binary64))) t (fma.f64 (/.f64 t y) (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) (-.f64 x z)) t)) y) |
(* -1 (* y (- (/ z y) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) |
(* 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) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(/ t (+ x y)) |
(/.f64 t (+.f64 x y)) |
(+ (/ t (+ x y)) (/ (* t z) (pow (+ x y) 2))) |
(*.f64 (+.f64 (/.f64 z (+.f64 x y)) #s(literal 1 binary64)) (/.f64 t (+.f64 x y))) |
(+ (* z (- (/ (* t z) (pow (+ x y) 3)) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y))) |
(fma.f64 (*.f64 (+.f64 (/.f64 z (+.f64 x y)) #s(literal 1 binary64)) (/.f64 t (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) z (/.f64 t (+.f64 x y))) |
(+ (* z (- (* z (- (/ (* t z) (pow (+ x y) 4)) (* -1 (/ t (pow (+ x y) 3))))) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (+.f64 x y) #s(literal 4 binary64))) t (/.f64 t (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) z (/.f64 t (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) z (/.f64 t (+.f64 x y))) |
(+ y (* -1 z)) |
(-.f64 y z) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(*.f64 (-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 x y)) z) (/.f64 #s(literal 1/2 binary64) t)) z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(fma.f64 (+.f64 (/.f64 y z) (/.f64 x z)) z (neg.f64 z)) |
(* z (- (/ x z) 1)) |
(*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z) |
(* -1 (/ t z)) |
(/.f64 (neg.f64 t) z) |
(/ (+ (* -1 t) (* -1 (/ (* t (+ x y)) z))) z) |
(/.f64 (fma.f64 (/.f64 (+.f64 x y) z) t t) (neg.f64 z)) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 2)) (pow z 2)))) (/ (* t (+ x y)) z)) z) |
(/.f64 (fma.f64 (/.f64 t z) (+.f64 (+.f64 x y) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) z)) t) (neg.f64 z)) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 3)) (pow z 3)))) (+ (/ (* t (+ x y)) z) (/ (* t (pow (+ x y) 2)) (pow z 2)))) z) |
(/.f64 (fma.f64 t (-.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3 binary64))) (*.f64 (+.f64 (/.f64 (+.f64 x y) z) #s(literal 1 binary64)) (/.f64 (+.f64 x y) z))) (neg.f64 t)) z) |
(* z (- (/ y z) 1)) |
(*.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) z) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(*.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 x y)) z) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) t))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(fma.f64 (/.f64 (+.f64 x y) z) z (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z) |
(* -1 (/ (+ t (/ (* t (+ x y)) z)) z)) |
(/.f64 (fma.f64 (/.f64 (+.f64 x y) z) t t) (neg.f64 z)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow (+ x y) 2)) z)) (* t (+ x y))) z))) z)) |
(/.f64 (fma.f64 (/.f64 t z) (+.f64 (+.f64 x y) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) z)) t) (neg.f64 z)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (+ x y) 3)) z) (* -1 (* t (pow (+ x y) 2)))) z)) (* t (+ x y))) z))) z)) |
(/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 x y) t (/.f64 (*.f64 t (+.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) z) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) z))) z) t) z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(*.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) 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) |
(/ (+ x y) t) |
(/.f64 (+.f64 x y) t) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
(/ t (- (+ x y) z)) |
(/.f64 t (-.f64 (+.f64 x y) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 151 |
| 0 | 47 | 151 |
| 1 | 185 | 151 |
| 2 | 1267 | 151 |
| 0 | 8292 | 151 |
| 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 #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) z) t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(*.f64 #s(literal -1/2 binary64) z) |
(/.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)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ y x) z) (-.f64 y z)))) |
(/.f64 t #s(approx (- (+ y x) z) (-.f64 y z))) |
#s(approx (- (+ y x) z) (-.f64 y z)) |
(-.f64 y z) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (-.f64 (+.f64 x y) z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) 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 (+.f64 x y) z) (*.f64 #s(literal 2 binary64) t)) (/.f64 (-.f64 (+.f64 x y) z) (+.f64 (+.f64 x y) z))) |
(*.f64 (/.f64 (fma.f64 z (+.f64 (+.f64 x y) z) (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 (+.f64 x y) z) (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 (+.f64 x y) z) #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 (+.f64 x y) z) #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 (+.f64 x y) z) (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 (+.f64 x y) z) (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 (+.f64 x y) z) #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 (+.f64 x y) z) (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 (+.f64 x y) z) #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 (+.f64 x y) z) (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 (+.f64 x y) z) #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 (+.f64 x y) z) (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))) |
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(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) t)) |
(*.f64 (pow.f64 (*.f64 (/.f64 t #s(approx (- (+ y x) z) (-.f64 y z))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 t #s(approx (- (+ y x) z) (-.f64 y z))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 #s(approx (- (+ y x) z) (-.f64 y z)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (+ y x) z) (-.f64 y z))) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (+ y x) z) (-.f64 y z))) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) (neg.f64 #s(approx (- (+ y x) z) (-.f64 y z)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t #s(approx (- (+ y x) z) (-.f64 y z))) #s(literal -2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (- (+ y x) z) (-.f64 y z)) t))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 #s(approx (- (+ y x) z) (-.f64 y z)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (*.f64 (pow.f64 #s(approx (- (+ y x) z) (-.f64 y z)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(approx (- (+ y x) z) (-.f64 y z)) t) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (+ y x) z) (-.f64 y z)) (/.f64 #s(literal 1/2 binary64) t))) |
(*.f64 #s(approx (- (+ y x) z) (-.f64 y z)) (/.f64 #s(literal 1/2 binary64) t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) t) (pow.f64 #s(approx (- (+ y x) z) (-.f64 y z)) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(approx (- (+ y x) z) (-.f64 y z)) t))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 y z))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (+ y x) z) (-.f64 y z)) t)) |
(pow.f64 (*.f64 (/.f64 t #s(approx (- (+ y x) z) (-.f64 y z))) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (+ y x) z) (-.f64 y z)))) t) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) t)) (neg.f64 (pow.f64 #s(approx (- (+ y x) z) (-.f64 y z)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 #s(approx (- (+ y x) z) (-.f64 y z)))) (neg.f64 t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (+ y x) z) (-.f64 y z))) (neg.f64 t)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- (+ y x) z) (-.f64 y z))) t) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 t #s(approx (- (+ y x) z) (-.f64 y z))) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) t) #s(approx (- (+ y x) z) (-.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (*.f64 #s(literal -1/2 binary64) #s(approx (- (+ y x) z) (-.f64 y z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(approx (- (+ y x) z) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) t))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t #s(approx (- (+ y x) z) (-.f64 y z))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 #s(approx (- (+ y x) z) (-.f64 y z))) (*.f64 #s(literal -2 binary64) t)) |
(/.f64 #s(approx (- (+ y x) z) (-.f64 y z)) (*.f64 #s(literal 2 binary64) t)) |
(/.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 t) #s(approx (- (+ y x) z) (-.f64 y z)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) t) (pow.f64 #s(approx (- (+ y x) z) (-.f64 y z)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ y x) z) (-.f64 y z)))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) t) (pow.f64 #s(approx (- (+ y x) z) (-.f64 y z)) #s(literal -1 binary64)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (- (+ y x) z) (-.f64 y z)) t)))) |
(neg.f64 (*.f64 #s(approx (- (+ y x) z) (-.f64 y z)) (/.f64 #s(literal -1/2 binary64) t))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 y z)))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (- (+ y x) z) (-.f64 y z)) t))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (- (+ y x) z) (-.f64 y z)) t))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 t #s(approx (- (+ y x) z) (-.f64 y z))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(approx (- (+ y x) z) (-.f64 y z)) t) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (- (+ y x) z) (-.f64 y z)) t) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) t) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (+ y x) z) (-.f64 y z)))) |
(*.f64 (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (+ y x) z) (-.f64 y z)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 t) #s(approx (- (+ y x) z) (-.f64 y z)))) |
(*.f64 (pow.f64 #s(approx (- (+ y x) z) (-.f64 y z)) #s(literal -1 binary64)) (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (- (+ y x) z) (-.f64 y z)) #s(literal -1 binary64)) t) |
(*.f64 #s(literal 1 binary64) (/.f64 t #s(approx (- (+ y x) z) (-.f64 y z)))) |
(*.f64 (neg.f64 t) (neg.f64 (pow.f64 #s(approx (- (+ y x) z) (-.f64 y z)) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) #s(approx (- (+ y x) z) (-.f64 y z)))) |
(*.f64 (/.f64 t #s(approx (- (+ y x) z) (-.f64 y z))) #s(literal 1 binary64)) |
(*.f64 t (neg.f64 (neg.f64 (pow.f64 #s(approx (- (+ y x) z) (-.f64 y z)) #s(literal -1 binary64))))) |
(*.f64 t (pow.f64 #s(approx (- (+ y x) z) (-.f64 y z)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(approx (- (+ y x) z) (-.f64 y z)) t) #s(literal -1 binary64)) |
(pow.f64 (/.f64 t #s(approx (- (+ y x) z) (-.f64 y z))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (- (+ y x) z) (-.f64 y z)) t))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (+ y x) z) (-.f64 y z)) t)) |
(/.f64 (/.f64 (neg.f64 t) #s(approx (- (+ y x) z) (-.f64 y z))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 t) (neg.f64 #s(approx (- (+ y x) z) (-.f64 y z)))) |
(/.f64 (/.f64 t #s(approx (- (+ y x) z) (-.f64 y z))) #s(literal 1 binary64)) |
(/.f64 t #s(approx (- (+ y x) z) (-.f64 y z))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 t) #s(approx (- (+ y x) z) (-.f64 y z))) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 t) #s(approx (- (+ y x) z) (-.f64 y z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- (+ y x) z) (-.f64 y z)))) (/.f64 (neg.f64 t) #s(approx (- (+ y x) z) (-.f64 y z)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 t) #s(approx (- (+ y x) z) (-.f64 y z)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (- (+ y x) z) (-.f64 y z)) t)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- (+ y x) z) (-.f64 y z)))) |
(*.f64 #s(literal 1 binary64) #s(approx (- (+ y x) z) (-.f64 y z))) |
(*.f64 #s(approx (- (+ y x) z) (-.f64 y z)) #s(literal 1 binary64)) |
#s(approx (- (+ y x) z) (-.f64 y z)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- (+ y x) z) (-.f64 y z)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 #s(approx (- (+ y x) z) (-.f64 y z))) #s(literal -1 binary64)) |
(/.f64 #s(approx (- (+ y x) z) (-.f64 y z)) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 #s(approx (- (+ y x) z) (-.f64 y z)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- (+ y x) z) (-.f64 y z)))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 z y)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (+.f64 z y) (*.f64 y y))))) |
(*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (pow.f64 (+.f64 z y) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 y z)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 y (neg.f64 z)))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 y y) (+.f64 z y))) (*.f64 (/.f64 (*.f64 z z) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y)))) (+.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y)))) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 y y)) (-.f64 (neg.f64 z) y)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (+.f64 z y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 y y) (+.f64 z y)) (fma.f64 (/.f64 (*.f64 z z) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y)) (*.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 y y) (*.f64 (neg.f64 z) y)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 y) y (*.f64 z z))) (neg.f64 (neg.f64 (+.f64 z y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (+.f64 z y) (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 z y)) (*.f64 (+.f64 z y) (*.f64 z z))) (*.f64 (+.f64 z y) (+.f64 z y))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (fma.f64 z (+.f64 z y) (*.f64 y y)))) |
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) (neg.f64 (+.f64 z y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 y (neg.f64 z)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)))) |
(/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (+.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 y (neg.f64 z)))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y z))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 y (neg.f64 z))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z y) (*.f64 y y))) |
(neg.f64 (/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (neg.f64 (+.f64 z y)))) |
(neg.f64 (/.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))))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (neg.f64 z)) |
(fma.f64 #s(literal -1 binary64) z y) |
(fma.f64 #s(literal 1 binary64) y (neg.f64 z)) |
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 z z) (+.f64 z y)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))))) |
(fma.f64 y #s(literal 1 binary64) (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 (/.f64 (*.f64 y y) (+.f64 z y)) (neg.f64 (/.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))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))))) |
(+.f64 (neg.f64 z) y) |
(+.f64 y (neg.f64 z)) |
Compiled 16 496 to 2 422 computations (85.3% saved)
12 alts after pruning (6 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 732 | 2 | 734 |
| Fresh | 1 | 4 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 735 | 12 | 747 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t)) |
| ✓ | 62.5% | (/.f64 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ y x) z) (-.f64 y z)))) |
| ▶ | 73.8% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t (+.f64 x y)))) |
| ▶ | 62.5% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 y z))) |
| ▶ | 70.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) |
| ✓ | 33.0% | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
| ✓ | 74.0% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
| 67.3% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) t) #s(literal 1/2 binary64))) | |
| ✓ | 44.3% | #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)) |
| ✓ | 32.9% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
| ✓ | 34.0% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
Compiled 278 to 230 computations (17.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (/.f64 t (+.f64 x y)) | |
| cost-diff | 0 | #s(approx (/ t (- (+ y x) z)) (/.f64 t (+.f64 x y))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t (+.f64 x y)))) | |
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | #s(approx (- (+ y x) z) (-.f64 y z)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) t) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 y z))) | |
| cost-diff | 0 | (-.f64 x z) | |
| cost-diff | 0 | #s(approx (- (+ y x) 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 (- (+ y x) 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) y) | |
| cost-diff | 0 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) | |
| cost-diff | 0 | (-.f64 z (+.f64 y x)) | |
| cost-diff | 0 | (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 171 |
| 0 | 47 | 171 |
| 1 | 85 | 169 |
| 2 | 140 | 169 |
| 3 | 234 | 169 |
| 4 | 590 | 169 |
| 5 | 1532 | 169 |
| 6 | 4198 | 169 |
| 7 | 5360 | 169 |
| 8 | 6184 | 169 |
| 9 | 6592 | 169 |
| 10 | 6688 | 169 |
| 11 | 6732 | 169 |
| 12 | 7384 | 169 |
| 13 | 7692 | 169 |
| 14 | 7826 | 169 |
| 15 | 7826 | 169 |
| 16 | 7826 | 169 |
| 17 | 7914 | 169 |
| 0 | 8030 | 169 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) |
(/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) |
#s(literal -2 binary64) |
(-.f64 z (+.f64 y x)) |
z |
(+.f64 y x) |
y |
x |
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(literal 1/2 binary64) |
t |
y |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
#s(approx (- (+ y x) z) (-.f64 x z)) |
(-.f64 x z) |
x |
z |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 y z))) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
#s(approx (- (+ y x) z) (-.f64 y z)) |
(-.f64 y z) |
y |
z |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t (+.f64 x y)))) |
#s(literal 1/2 binary64) |
#s(approx (/ t (- (+ y x) z)) (/.f64 t (+.f64 x y))) |
(/.f64 t (+.f64 x y)) |
t |
(+.f64 x y) |
x |
y |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) (-.f64 (-.f64 z x) y)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) |
(/.f64 (*.f64 t #s(literal -2 binary64)) (-.f64 (-.f64 z x) y)) |
(/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) |
(/.f64 #s(literal 2 binary64) (-.f64 (+.f64 x y) z)) |
#s(literal -2 binary64) |
(-.f64 z (+.f64 y x)) |
(-.f64 (-.f64 z x) y) |
z |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
t |
#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 y t) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) y) |
(*.f64 (/.f64 y t) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
y |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) |
(*.f64 #s(approx (- (+ y x) 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 (- (+ y x) z) (-.f64 x z)) |
(-.f64 x z) |
x |
z |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 y z))) |
(*.f64 #s(approx (- (+ y x) z) (-.f64 y z)) (/.f64 #s(literal 1/2 binary64) t)) |
(/.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
#s(approx (- (+ y x) z) (-.f64 y z)) |
(-.f64 y z) |
y |
z |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t (+.f64 x y)))) |
#s(literal 1/2 binary64) |
#s(approx (/ t (- (+ y x) z)) (/.f64 t (+.f64 x y))) |
(/.f64 t (+.f64 x y)) |
t |
(+.f64 x y) |
x |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0.00390625 | (/.f64 t (+.f64 x y)) | |
| accuracy | 0.171875 | (/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t (+.f64 x y)))) | |
| accuracy | 15.693974832455492 | #s(approx (/ t (- (+ y x) z)) (/.f64 t (+.f64 x y))) | |
| accuracy | 0 | (/.f64 #s(literal 1/2 binary64) t) | |
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0.1875 | (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 y z))) | |
| accuracy | 25.664236071299932 | #s(approx (- (+ y x) z) (-.f64 y z)) | |
| accuracy | 0 | (/.f64 #s(literal 1/2 binary64) t) | |
| accuracy | 0 | (-.f64 x z) | |
| accuracy | 0.1875 | (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) | |
| accuracy | 19.927170393118885 | #s(approx (- (+ y x) z) (-.f64 x z)) | |
| accuracy | 0 | (/.f64 #s(literal 1/2 binary64) t) | |
| accuracy | 0.1875 | (*.f64 (/.f64 #s(literal 1/2 binary64) t) y) | |
| accuracy | 42.216506849010486 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.0078125 | (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) | |
| accuracy | 0.13671875 | (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) | |
| accuracy | 0.171875 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t)) |
| 40.0ms | 256× | 0 | valid |
Compiled 310 to 61 computations (80.3% saved)
ival-div: 10.0ms (42.7% of total)ival-sub: 5.0ms (21.4% of total)ival-mult: 5.0ms (21.4% of total)ival-add: 2.0ms (8.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t)) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) |
(/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) |
(-.f64 z (+.f64 y x)) |
#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) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) |
#s(approx (- (+ y x) z) (-.f64 x z)) |
(-.f64 x z) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 y z))) |
#s(approx (- (+ y x) z) (-.f64 y z)) |
(-.f64 y z) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t (+.f64 x y)))) |
#s(approx (/ t (- (+ y x) z)) (/.f64 t (+.f64 x y))) |
(/.f64 t (+.f64 x y)) |
(+.f64 x y) |
(+.f64 y x) |
| Outputs |
|---|
(* -1/2 (/ (- z y) t)) |
(+ (* -1/2 (/ (- z y) t)) (* 1/2 (/ x t))) |
(* -2 (/ t (- z y))) |
(+ (* -2 (/ t (- z y))) (* -2 (/ (* t x) (pow (- z y) 2)))) |
(+ (* -2 (/ t (- z y))) (* x (+ (* -2 (/ t (pow (- z y) 2))) (* -2 (/ (* t x) (pow (- z y) 3)))))) |
(+ (* -2 (/ t (- z y))) (* x (+ (* -2 (/ t (pow (- z y) 2))) (* x (+ (* -2 (/ t (pow (- z y) 3))) (* -2 (/ (* t x) (pow (- z y) 4)))))))) |
(/ -2 (- z y)) |
(- (* -2 (/ x (pow (- z y) 2))) (* 2 (/ 1 (- z y)))) |
(- (* x (- (* -2 (/ x (pow (- z y) 3))) (* 2 (/ 1 (pow (- z y) 2))))) (* 2 (/ 1 (- z y)))) |
(- (* x (- (* x (- (* -2 (/ x (pow (- z y) 4))) (* 2 (/ 1 (pow (- z y) 3))))) (* 2 (/ 1 (pow (- z y) 2))))) (* 2 (/ 1 (- z y)))) |
(- z y) |
(- (+ z (* -1 x)) y) |
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(- y z) |
(- (+ x y) z) |
(* -1 z) |
(- x z) |
(/ t (- y z)) |
(+ (* -1 (/ (* t x) (pow (- y z) 2))) (/ t (- y z))) |
(+ (* x (- (/ (* t x) (pow (- y z) 3)) (/ t (pow (- y z) 2)))) (/ t (- y z))) |
(+ (* x (- (* x (- (* -1 (/ (* t x) (pow (- y z) 4))) (* -1 (/ t (pow (- y z) 3))))) (/ t (pow (- y z) 2)))) (/ t (- y z))) |
(/ t y) |
(+ (* -1 (/ (* t x) (pow y 2))) (/ t y)) |
(+ (* x (- (/ (* t x) (pow y 3)) (/ t (pow y 2)))) (/ t y)) |
(+ (* x (- (* x (- (* -1 (/ (* t x) (pow y 4))) (* -1 (/ t (pow y 3))))) (/ t (pow y 2)))) (/ t y)) |
y |
(+ x y) |
(* 1/2 (/ x t)) |
(* x (+ (* -1/2 (/ (- (/ z t) (/ y t)) x)) (* 1/2 (/ 1 t)))) |
(* 2 (/ t x)) |
(/ (+ (* 2 t) (* 2 (/ (* t (- z y)) x))) x) |
(/ (+ (* 2 t) (+ (* 2 (/ (* t (- z y)) x)) (* 2 (/ (* t (pow (- z y) 2)) (pow x 2))))) x) |
(/ (+ (* 2 t) (+ (* 2 (/ (* t (- z y)) x)) (+ (* 2 (/ (* t (pow (- z y) 2)) (pow x 2))) (* 2 (/ (* t (pow (- z y) 3)) (pow x 3)))))) x) |
(/ 2 x) |
(/ (+ 2 (* 2 (/ (- z y) x))) x) |
(/ (- (+ 2 (* 2 (/ (pow (- z y) 2) (pow x 2)))) (* -2 (/ (- z y) x))) x) |
(/ (- (+ 2 (* 2 (/ (pow (- z y) 3) (pow x 3)))) (+ (* -2 (/ (- z y) x)) (* -2 (/ (pow (- z y) 2) (pow x 2))))) x) |
(* -1 x) |
(* x (- (/ z x) (+ 1 (/ y x)))) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (+ 1 (* -1 (/ z x)))) |
(/ t x) |
(/ (+ t (* -1 (/ (* t (- y z)) x))) x) |
(/ (- (+ t (/ (* t (pow (- y z) 2)) (pow x 2))) (/ (* t (- y z)) x)) x) |
(/ (- (+ t (* -1 (/ (* t (pow (- y z) 3)) (pow x 3)))) (+ (* -1 (/ (* t (pow (- y z) 2)) (pow x 2))) (/ (* t (- y z)) x))) x) |
(/ (+ t (* -1 (/ (* t y) x))) x) |
(/ (- (+ t (/ (* t (pow y 2)) (pow x 2))) (/ (* t y) x)) x) |
(/ (- (+ t (* -1 (/ (* t (pow y 3)) (pow x 3)))) (+ (* -1 (/ (* t (pow y 2)) (pow x 2))) (/ (* t y) x))) x) |
(* x (+ 1 (/ y x))) |
(* -1 (* x (- (* 1/2 (/ (- (/ z t) (/ y t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (/ (+ (* -2 t) (* -2 (/ (* t (- z y)) x))) x)) |
(* -1 (/ (+ (* -2 t) (* -1 (/ (+ (* 2 (* t (- z y))) (* 2 (/ (* t (pow (- z y) 2)) x))) x))) x)) |
(* -1 (/ (+ (* -2 t) (* -1 (/ (+ (* -1 (/ (+ (* -2 (* t (pow (- z y) 2))) (* -2 (/ (* t (pow (- z y) 3)) x))) x)) (* 2 (* t (- z y)))) x))) x)) |
(* -1 (/ (- (* -2 (/ (- z y) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow (- z y) 2) x)) (* -2 (- z y))) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow (- z y) 3) x)) (* 2 (pow (- z y) 2))) x)) (* -2 (- z y))) x)) 2) x)) |
(* -1 (* x (+ 1 (* -1 (/ (- z y) 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 (/ (+ (* -1 t) (/ (* t (- y z)) x)) x)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- y z) 2)) x) (* t (- y z))) x))) x)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- y z) 3)) x) (* t (pow (- y z) 2))) x)) (* t (- y z))) x))) x)) |
(* -1 (/ (+ (* -1 t) (/ (* t y) x)) x)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow y 2)) x) (* t y)) x))) x)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow y 3)) x) (* t (pow y 2))) x)) (* t y)) x))) x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1/2 (/ (- z x) t)) |
(+ (* -1/2 (/ (- z x) t)) (* 1/2 (/ y t))) |
(* -2 (/ t (- z x))) |
(+ (* -2 (/ t (- z x))) (* -2 (/ (* t y) (pow (- z x) 2)))) |
(+ (* -2 (/ t (- z x))) (* y (+ (* -2 (/ t (pow (- z x) 2))) (* -2 (/ (* t y) (pow (- z x) 3)))))) |
(+ (* -2 (/ t (- z x))) (* y (+ (* -2 (/ t (pow (- z x) 2))) (* y (+ (* -2 (/ t (pow (- z x) 3))) (* -2 (/ (* t y) (pow (- z x) 4)))))))) |
(/ -2 (- z x)) |
(- (* -2 (/ y (pow (- z x) 2))) (* 2 (/ 1 (- z x)))) |
(- (* y (- (* -2 (/ y (pow (- z x) 3))) (* 2 (/ 1 (pow (- z x) 2))))) (* 2 (/ 1 (- z x)))) |
(- (* y (- (* y (- (* -2 (/ y (pow (- z x) 4))) (* 2 (/ 1 (pow (- z x) 3))))) (* 2 (/ 1 (pow (- z x) 2))))) (* 2 (/ 1 (- z x)))) |
(- z x) |
(- (+ z (* -1 y)) x) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(* 1/2 (/ y t)) |
(/ t (- x z)) |
(+ (* -1 (/ (* t y) (pow (- x z) 2))) (/ t (- x z))) |
(+ (* y (- (/ (* t y) (pow (- x z) 3)) (/ t (pow (- x z) 2)))) (/ t (- x z))) |
(+ (* y (- (* y (- (* -1 (/ (* t y) (pow (- x z) 4))) (* -1 (/ t (pow (- x z) 3))))) (/ t (pow (- x z) 2)))) (/ t (- x z))) |
(+ (* -1 (/ (* t y) (pow x 2))) (/ t x)) |
(+ (* y (- (/ (* t y) (pow x 3)) (/ t (pow x 2)))) (/ t x)) |
(+ (* y (- (* y (- (* -1 (/ (* t y) (pow x 4))) (* -1 (/ t (pow x 3))))) (/ t (pow x 2)))) (/ t x)) |
(* y (+ (* -1/2 (/ (- (/ z t) (/ x t)) y)) (* 1/2 (/ 1 t)))) |
(* 2 (/ t y)) |
(/ (+ (* 2 t) (* 2 (/ (* t (- z x)) y))) y) |
(/ (+ (* 2 t) (+ (* 2 (/ (* t (- z x)) y)) (* 2 (/ (* t (pow (- z x) 2)) (pow y 2))))) y) |
(/ (+ (* 2 t) (+ (* 2 (/ (* t (- z x)) y)) (+ (* 2 (/ (* t (pow (- z x) 2)) (pow y 2))) (* 2 (/ (* t (pow (- z x) 3)) (pow y 3)))))) y) |
(/ 2 y) |
(/ (+ 2 (* 2 (/ (- z x) y))) y) |
(/ (- (+ 2 (* 2 (/ (pow (- z x) 2) (pow y 2)))) (* -2 (/ (- z x) y))) y) |
(/ (- (+ 2 (* 2 (/ (pow (- z x) 3) (pow y 3)))) (+ (* -2 (/ (- z x) y)) (* -2 (/ (pow (- z x) 2) (pow y 2))))) y) |
(* -1 y) |
(* y (- (/ z y) (+ 1 (/ x y)))) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (+ 1 (* -1 (/ z y)))) |
(/ (+ t (* -1 (/ (* t (- x z)) y))) y) |
(/ (- (+ t (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y)) y) |
(/ (- (+ t (* -1 (/ (* t (pow (- x z) 3)) (pow y 3)))) (+ (* -1 (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y))) y) |
(/ (+ t (* -1 (/ (* t x) y))) y) |
(/ (- (+ t (/ (* t (pow x 2)) (pow y 2))) (/ (* t x) y)) y) |
(/ (- (+ t (* -1 (/ (* t (pow x 3)) (pow y 3)))) (+ (* -1 (/ (* t (pow x 2)) (pow y 2))) (/ (* t x) y))) y) |
(* y (+ 1 (/ x y))) |
(* -1 (* y (- (* 1/2 (/ (- (/ z t) (/ x t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (/ (+ (* -2 t) (* -2 (/ (* t (- z x)) y))) y)) |
(* -1 (/ (+ (* -2 t) (* -1 (/ (+ (* 2 (* t (- z x))) (* 2 (/ (* t (pow (- z x) 2)) y))) y))) y)) |
(* -1 (/ (+ (* -2 t) (* -1 (/ (+ (* -1 (/ (+ (* -2 (* t (pow (- z x) 2))) (* -2 (/ (* t (pow (- z x) 3)) y))) y)) (* 2 (* t (- z x)))) y))) y)) |
(* -1 (/ (- (* -2 (/ (- z x) y)) 2) y)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow (- z x) 2) y)) (* -2 (- z x))) y)) 2) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow (- z x) 3) y)) (* 2 (pow (- z x) 2))) y)) (* -2 (- z x))) y)) 2) y)) |
(* -1 (* y (+ 1 (* -1 (/ (- z x) y))))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (/ (+ (* -1 t) (/ (* t (- x z)) y)) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- x z) 2)) y) (* t (- x z))) y))) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- x z) 3)) y) (* t (pow (- x z) 2))) y)) (* t (- x z))) y))) y)) |
(* -1 (/ (+ (* -1 t) (/ (* t x) y)) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow x 2)) y) (* t x)) y))) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow x 3)) y) (* t (pow x 2))) y)) (* t x)) y))) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(* 2 (/ t (+ x y))) |
(+ (* 2 (/ t (+ x y))) (* 2 (/ (* t z) (pow (+ x y) 2)))) |
(+ (* 2 (/ t (+ x y))) (* z (+ (* 2 (/ t (pow (+ x y) 2))) (* 2 (/ (* t z) (pow (+ x y) 3)))))) |
(+ (* 2 (/ t (+ x y))) (* z (+ (* 2 (/ t (pow (+ x y) 2))) (* z (+ (* 2 (/ t (pow (+ x y) 3))) (* 2 (/ (* t z) (pow (+ x y) 4)))))))) |
(/ 2 (+ x y)) |
(+ (* 2 (/ z (pow (+ x y) 2))) (* 2 (/ 1 (+ x y)))) |
(+ (* z (+ (* 2 (/ z (pow (+ x y) 3))) (* 2 (/ 1 (pow (+ x y) 2))))) (* 2 (/ 1 (+ x y)))) |
(+ (* z (+ (* z (+ (* 2 (/ z (pow (+ x y) 4))) (* 2 (/ 1 (pow (+ x y) 3))))) (* 2 (/ 1 (pow (+ x y) 2))))) (* 2 (/ 1 (+ x y)))) |
(* -1 (+ x y)) |
(- z (+ x y)) |
(+ x (+ y (* -1 z))) |
(+ x (* -1 z)) |
(+ y (* -1 z)) |
(/ t (+ x y)) |
(+ (/ t (+ x y)) (/ (* t z) (pow (+ x y) 2))) |
(+ (* z (- (/ (* t z) (pow (+ x y) 3)) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y))) |
(+ (* z (- (* z (- (/ (* t z) (pow (+ x y) 4)) (* -1 (/ t (pow (+ x y) 3))))) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y))) |
(* -1/2 (/ z t)) |
(* z (- (* 1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t)))) |
(* -2 (/ t z)) |
(/ (+ (* -2 t) (* -2 (/ (* t (+ x y)) z))) z) |
(/ (+ (* -2 t) (+ (* -2 (/ (* t (+ x y)) z)) (* -2 (/ (* t (pow (+ x y) 2)) (pow z 2))))) z) |
(/ (+ (* -2 t) (+ (* -2 (/ (* t (+ x y)) z)) (+ (* -2 (/ (* t (pow (+ x y) 2)) (pow z 2))) (* -2 (/ (* t (pow (+ x y) 3)) (pow z 3)))))) z) |
(/ -2 z) |
(/ (- (* -2 (/ (+ x y) z)) 2) z) |
(/ (- (* -2 (/ (pow (+ x y) 2) (pow z 2))) (+ 2 (* 2 (/ (+ x y) z)))) z) |
(/ (- (* -2 (/ (pow (+ x y) 3) (pow z 3))) (+ 2 (+ (* 2 (/ (+ x y) z)) (* 2 (/ (pow (+ x y) 2) (pow z 2)))))) z) |
z |
(* z (+ 1 (* -1 (/ (+ x y) z)))) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (/ x z) 1)) |
(* z (- (/ y z) 1)) |
(* -1 (/ t z)) |
(/ (+ (* -1 t) (* -1 (/ (* t (+ x y)) z))) z) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 2)) (pow z 2)))) (/ (* t (+ x y)) z)) z) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 3)) (pow z 3)))) (+ (/ (* t (+ x y)) z) (/ (* t (pow (+ x y) 2)) (pow z 2)))) z) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (/ (+ (* 2 t) (* 2 (/ (* t (+ x y)) z))) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (* t (+ x y))) (* -2 (/ (* t (pow (+ x y) 2)) z))) z)) (* 2 t)) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (* t (+ x y))) (* -1 (/ (+ (* 2 (* t (pow (+ x y) 2))) (* 2 (/ (* t (pow (+ x y) 3)) z))) z))) z)) (* 2 t)) z)) |
(* -1 (/ (+ 2 (* 2 (/ (+ x y) z))) z)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow (+ x y) 2) z)) (* 2 (+ x y))) z))) z)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow (+ x y) 3) z)) (* -2 (pow (+ x y) 2))) z)) (* 2 (+ x y))) z))) z)) |
(* -1 (* z (- (+ (/ x z) (/ y z)) 1))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (/ (+ t (/ (* t (+ x y)) z)) z)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow (+ x y) 2)) z)) (* t (+ x y))) z))) z)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (+ x y) 3)) z) (* -1 (* t (pow (+ x y) 2)))) z)) (* t (+ x y))) z))) z)) |
(* -1/2 (/ (- z (+ x y)) t)) |
(* -2 (/ t (- z (+ x y)))) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/ 1/2 t) |
(/ t (- (+ x y) z)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | inf | ((/ 1 (* (/ -2 (- z (+ y x))) t)) (* (/ -2 (- z (+ y x))) t) (/ -2 (- z (+ y x))) (- z (+ y x)) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) y) (/ 1/2 t) (* (/ 1/2 t) (- (+ y x) z)) (- (+ y x) z) (- x z) (* (/ 1/2 t) (- (+ y x) z)) (- (+ y x) z) (- y z) (/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (/ t (+ x y)) (+ x y) (+ y x)) |
| 6.0ms | z | @ | 0 | ((/ 1 (* (/ -2 (- z (+ y x))) t)) (* (/ -2 (- z (+ y x))) t) (/ -2 (- z (+ y x))) (- z (+ y x)) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) y) (/ 1/2 t) (* (/ 1/2 t) (- (+ y x) z)) (- (+ y x) z) (- x z) (* (/ 1/2 t) (- (+ y x) z)) (- (+ y x) z) (- y z) (/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (/ t (+ x y)) (+ x y) (+ y x)) |
| 4.0ms | t | @ | 0 | ((/ 1 (* (/ -2 (- z (+ y x))) t)) (* (/ -2 (- z (+ y x))) t) (/ -2 (- z (+ y x))) (- z (+ y x)) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) y) (/ 1/2 t) (* (/ 1/2 t) (- (+ y x) z)) (- (+ y x) z) (- x z) (* (/ 1/2 t) (- (+ y x) z)) (- (+ y x) z) (- y z) (/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (/ t (+ x y)) (+ x y) (+ y x)) |
| 2.0ms | y | @ | inf | ((/ 1 (* (/ -2 (- z (+ y x))) t)) (* (/ -2 (- z (+ y x))) t) (/ -2 (- z (+ y x))) (- z (+ y x)) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) y) (/ 1/2 t) (* (/ 1/2 t) (- (+ y x) z)) (- (+ y x) z) (- x z) (* (/ 1/2 t) (- (+ y x) z)) (- (+ y x) z) (- y z) (/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (/ t (+ x y)) (+ x y) (+ y x)) |
| 2.0ms | t | @ | inf | ((/ 1 (* (/ -2 (- z (+ y x))) t)) (* (/ -2 (- z (+ y x))) t) (/ -2 (- z (+ y x))) (- z (+ y x)) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) y) (/ 1/2 t) (* (/ 1/2 t) (- (+ y x) z)) (- (+ y x) z) (- x z) (* (/ 1/2 t) (- (+ y x) z)) (- (+ y x) z) (- y z) (/ 1/2 (/ t (- (+ y x) z))) (/ t (- (+ y x) z)) (/ t (+ x y)) (+ x y) (+ y x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 868 | 3086 |
| 1 | 2657 | 2921 |
| 2 | 7658 | 2895 |
| 0 | 8166 | 2790 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (/ (- z y) t)) |
(+ (* -1/2 (/ (- z y) t)) (* 1/2 (/ x t))) |
(* -2 (/ t (- z y))) |
(+ (* -2 (/ t (- z y))) (* -2 (/ (* t x) (pow (- z y) 2)))) |
(+ (* -2 (/ t (- z y))) (* x (+ (* -2 (/ t (pow (- z y) 2))) (* -2 (/ (* t x) (pow (- z y) 3)))))) |
(+ (* -2 (/ t (- z y))) (* x (+ (* -2 (/ t (pow (- z y) 2))) (* x (+ (* -2 (/ t (pow (- z y) 3))) (* -2 (/ (* t x) (pow (- z y) 4)))))))) |
(/ -2 (- z y)) |
(- (* -2 (/ x (pow (- z y) 2))) (* 2 (/ 1 (- z y)))) |
(- (* x (- (* -2 (/ x (pow (- z y) 3))) (* 2 (/ 1 (pow (- z y) 2))))) (* 2 (/ 1 (- z y)))) |
(- (* x (- (* x (- (* -2 (/ x (pow (- z y) 4))) (* 2 (/ 1 (pow (- z y) 3))))) (* 2 (/ 1 (pow (- z y) 2))))) (* 2 (/ 1 (- z y)))) |
(- z y) |
(- (+ z (* -1 x)) y) |
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(- y z) |
(- (+ x y) z) |
(* -1 z) |
(- x z) |
(/ t (- y z)) |
(+ (* -1 (/ (* t x) (pow (- y z) 2))) (/ t (- y z))) |
(+ (* x (- (/ (* t x) (pow (- y z) 3)) (/ t (pow (- y z) 2)))) (/ t (- y z))) |
(+ (* x (- (* x (- (* -1 (/ (* t x) (pow (- y z) 4))) (* -1 (/ t (pow (- y z) 3))))) (/ t (pow (- y z) 2)))) (/ t (- y z))) |
(/ t y) |
(+ (* -1 (/ (* t x) (pow y 2))) (/ t y)) |
(+ (* x (- (/ (* t x) (pow y 3)) (/ t (pow y 2)))) (/ t y)) |
(+ (* x (- (* x (- (* -1 (/ (* t x) (pow y 4))) (* -1 (/ t (pow y 3))))) (/ t (pow y 2)))) (/ t y)) |
y |
(+ x y) |
(* 1/2 (/ x t)) |
(* x (+ (* -1/2 (/ (- (/ z t) (/ y t)) x)) (* 1/2 (/ 1 t)))) |
(* 2 (/ t x)) |
(/ (+ (* 2 t) (* 2 (/ (* t (- z y)) x))) x) |
(/ (+ (* 2 t) (+ (* 2 (/ (* t (- z y)) x)) (* 2 (/ (* t (pow (- z y) 2)) (pow x 2))))) x) |
(/ (+ (* 2 t) (+ (* 2 (/ (* t (- z y)) x)) (+ (* 2 (/ (* t (pow (- z y) 2)) (pow x 2))) (* 2 (/ (* t (pow (- z y) 3)) (pow x 3)))))) x) |
(/ 2 x) |
(/ (+ 2 (* 2 (/ (- z y) x))) x) |
(/ (- (+ 2 (* 2 (/ (pow (- z y) 2) (pow x 2)))) (* -2 (/ (- z y) x))) x) |
(/ (- (+ 2 (* 2 (/ (pow (- z y) 3) (pow x 3)))) (+ (* -2 (/ (- z y) x)) (* -2 (/ (pow (- z y) 2) (pow x 2))))) x) |
(* -1 x) |
(* x (- (/ z x) (+ 1 (/ y x)))) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (+ 1 (* -1 (/ z x)))) |
(/ t x) |
(/ (+ t (* -1 (/ (* t (- y z)) x))) x) |
(/ (- (+ t (/ (* t (pow (- y z) 2)) (pow x 2))) (/ (* t (- y z)) x)) x) |
(/ (- (+ t (* -1 (/ (* t (pow (- y z) 3)) (pow x 3)))) (+ (* -1 (/ (* t (pow (- y z) 2)) (pow x 2))) (/ (* t (- y z)) x))) x) |
(/ (+ t (* -1 (/ (* t y) x))) x) |
(/ (- (+ t (/ (* t (pow y 2)) (pow x 2))) (/ (* t y) x)) x) |
(/ (- (+ t (* -1 (/ (* t (pow y 3)) (pow x 3)))) (+ (* -1 (/ (* t (pow y 2)) (pow x 2))) (/ (* t y) x))) x) |
(* x (+ 1 (/ y x))) |
(* -1 (* x (- (* 1/2 (/ (- (/ z t) (/ y t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (/ (+ (* -2 t) (* -2 (/ (* t (- z y)) x))) x)) |
(* -1 (/ (+ (* -2 t) (* -1 (/ (+ (* 2 (* t (- z y))) (* 2 (/ (* t (pow (- z y) 2)) x))) x))) x)) |
(* -1 (/ (+ (* -2 t) (* -1 (/ (+ (* -1 (/ (+ (* -2 (* t (pow (- z y) 2))) (* -2 (/ (* t (pow (- z y) 3)) x))) x)) (* 2 (* t (- z y)))) x))) x)) |
(* -1 (/ (- (* -2 (/ (- z y) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow (- z y) 2) x)) (* -2 (- z y))) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow (- z y) 3) x)) (* 2 (pow (- z y) 2))) x)) (* -2 (- z y))) x)) 2) x)) |
(* -1 (* x (+ 1 (* -1 (/ (- z y) 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 (/ (+ (* -1 t) (/ (* t (- y z)) x)) x)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- y z) 2)) x) (* t (- y z))) x))) x)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- y z) 3)) x) (* t (pow (- y z) 2))) x)) (* t (- y z))) x))) x)) |
(* -1 (/ (+ (* -1 t) (/ (* t y) x)) x)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow y 2)) x) (* t y)) x))) x)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow y 3)) x) (* t (pow y 2))) x)) (* t y)) x))) x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1/2 (/ (- z x) t)) |
(+ (* -1/2 (/ (- z x) t)) (* 1/2 (/ y t))) |
(* -2 (/ t (- z x))) |
(+ (* -2 (/ t (- z x))) (* -2 (/ (* t y) (pow (- z x) 2)))) |
(+ (* -2 (/ t (- z x))) (* y (+ (* -2 (/ t (pow (- z x) 2))) (* -2 (/ (* t y) (pow (- z x) 3)))))) |
(+ (* -2 (/ t (- z x))) (* y (+ (* -2 (/ t (pow (- z x) 2))) (* y (+ (* -2 (/ t (pow (- z x) 3))) (* -2 (/ (* t y) (pow (- z x) 4)))))))) |
(/ -2 (- z x)) |
(- (* -2 (/ y (pow (- z x) 2))) (* 2 (/ 1 (- z x)))) |
(- (* y (- (* -2 (/ y (pow (- z x) 3))) (* 2 (/ 1 (pow (- z x) 2))))) (* 2 (/ 1 (- z x)))) |
(- (* y (- (* y (- (* -2 (/ y (pow (- z x) 4))) (* 2 (/ 1 (pow (- z x) 3))))) (* 2 (/ 1 (pow (- z x) 2))))) (* 2 (/ 1 (- z x)))) |
(- z x) |
(- (+ z (* -1 y)) x) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(* 1/2 (/ y t)) |
(/ t (- x z)) |
(+ (* -1 (/ (* t y) (pow (- x z) 2))) (/ t (- x z))) |
(+ (* y (- (/ (* t y) (pow (- x z) 3)) (/ t (pow (- x z) 2)))) (/ t (- x z))) |
(+ (* y (- (* y (- (* -1 (/ (* t y) (pow (- x z) 4))) (* -1 (/ t (pow (- x z) 3))))) (/ t (pow (- x z) 2)))) (/ t (- x z))) |
(+ (* -1 (/ (* t y) (pow x 2))) (/ t x)) |
(+ (* y (- (/ (* t y) (pow x 3)) (/ t (pow x 2)))) (/ t x)) |
(+ (* y (- (* y (- (* -1 (/ (* t y) (pow x 4))) (* -1 (/ t (pow x 3))))) (/ t (pow x 2)))) (/ t x)) |
(* y (+ (* -1/2 (/ (- (/ z t) (/ x t)) y)) (* 1/2 (/ 1 t)))) |
(* 2 (/ t y)) |
(/ (+ (* 2 t) (* 2 (/ (* t (- z x)) y))) y) |
(/ (+ (* 2 t) (+ (* 2 (/ (* t (- z x)) y)) (* 2 (/ (* t (pow (- z x) 2)) (pow y 2))))) y) |
(/ (+ (* 2 t) (+ (* 2 (/ (* t (- z x)) y)) (+ (* 2 (/ (* t (pow (- z x) 2)) (pow y 2))) (* 2 (/ (* t (pow (- z x) 3)) (pow y 3)))))) y) |
(/ 2 y) |
(/ (+ 2 (* 2 (/ (- z x) y))) y) |
(/ (- (+ 2 (* 2 (/ (pow (- z x) 2) (pow y 2)))) (* -2 (/ (- z x) y))) y) |
(/ (- (+ 2 (* 2 (/ (pow (- z x) 3) (pow y 3)))) (+ (* -2 (/ (- z x) y)) (* -2 (/ (pow (- z x) 2) (pow y 2))))) y) |
(* -1 y) |
(* y (- (/ z y) (+ 1 (/ x y)))) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (+ 1 (* -1 (/ z y)))) |
(/ (+ t (* -1 (/ (* t (- x z)) y))) y) |
(/ (- (+ t (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y)) y) |
(/ (- (+ t (* -1 (/ (* t (pow (- x z) 3)) (pow y 3)))) (+ (* -1 (/ (* t (pow (- x z) 2)) (pow y 2))) (/ (* t (- x z)) y))) y) |
(/ (+ t (* -1 (/ (* t x) y))) y) |
(/ (- (+ t (/ (* t (pow x 2)) (pow y 2))) (/ (* t x) y)) y) |
(/ (- (+ t (* -1 (/ (* t (pow x 3)) (pow y 3)))) (+ (* -1 (/ (* t (pow x 2)) (pow y 2))) (/ (* t x) y))) y) |
(* y (+ 1 (/ x y))) |
(* -1 (* y (- (* 1/2 (/ (- (/ z t) (/ x t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (/ (+ (* -2 t) (* -2 (/ (* t (- z x)) y))) y)) |
(* -1 (/ (+ (* -2 t) (* -1 (/ (+ (* 2 (* t (- z x))) (* 2 (/ (* t (pow (- z x) 2)) y))) y))) y)) |
(* -1 (/ (+ (* -2 t) (* -1 (/ (+ (* -1 (/ (+ (* -2 (* t (pow (- z x) 2))) (* -2 (/ (* t (pow (- z x) 3)) y))) y)) (* 2 (* t (- z x)))) y))) y)) |
(* -1 (/ (- (* -2 (/ (- z x) y)) 2) y)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow (- z x) 2) y)) (* -2 (- z x))) y)) 2) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow (- z x) 3) y)) (* 2 (pow (- z x) 2))) y)) (* -2 (- z x))) y)) 2) y)) |
(* -1 (* y (+ 1 (* -1 (/ (- z x) y))))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (/ (+ (* -1 t) (/ (* t (- x z)) y)) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- x z) 2)) y) (* t (- x z))) y))) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- x z) 3)) y) (* t (pow (- x z) 2))) y)) (* t (- x z))) y))) y)) |
(* -1 (/ (+ (* -1 t) (/ (* t x) y)) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow x 2)) y) (* t x)) y))) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow x 3)) y) (* t (pow x 2))) y)) (* t x)) y))) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(* 2 (/ t (+ x y))) |
(+ (* 2 (/ t (+ x y))) (* 2 (/ (* t z) (pow (+ x y) 2)))) |
(+ (* 2 (/ t (+ x y))) (* z (+ (* 2 (/ t (pow (+ x y) 2))) (* 2 (/ (* t z) (pow (+ x y) 3)))))) |
(+ (* 2 (/ t (+ x y))) (* z (+ (* 2 (/ t (pow (+ x y) 2))) (* z (+ (* 2 (/ t (pow (+ x y) 3))) (* 2 (/ (* t z) (pow (+ x y) 4)))))))) |
(/ 2 (+ x y)) |
(+ (* 2 (/ z (pow (+ x y) 2))) (* 2 (/ 1 (+ x y)))) |
(+ (* z (+ (* 2 (/ z (pow (+ x y) 3))) (* 2 (/ 1 (pow (+ x y) 2))))) (* 2 (/ 1 (+ x y)))) |
(+ (* z (+ (* z (+ (* 2 (/ z (pow (+ x y) 4))) (* 2 (/ 1 (pow (+ x y) 3))))) (* 2 (/ 1 (pow (+ x y) 2))))) (* 2 (/ 1 (+ x y)))) |
(* -1 (+ x y)) |
(- z (+ x y)) |
(+ x (+ y (* -1 z))) |
(+ x (* -1 z)) |
(+ y (* -1 z)) |
(/ t (+ x y)) |
(+ (/ t (+ x y)) (/ (* t z) (pow (+ x y) 2))) |
(+ (* z (- (/ (* t z) (pow (+ x y) 3)) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y))) |
(+ (* z (- (* z (- (/ (* t z) (pow (+ x y) 4)) (* -1 (/ t (pow (+ x y) 3))))) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y))) |
(* -1/2 (/ z t)) |
(* z (- (* 1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t)))) |
(* -2 (/ t z)) |
(/ (+ (* -2 t) (* -2 (/ (* t (+ x y)) z))) z) |
(/ (+ (* -2 t) (+ (* -2 (/ (* t (+ x y)) z)) (* -2 (/ (* t (pow (+ x y) 2)) (pow z 2))))) z) |
(/ (+ (* -2 t) (+ (* -2 (/ (* t (+ x y)) z)) (+ (* -2 (/ (* t (pow (+ x y) 2)) (pow z 2))) (* -2 (/ (* t (pow (+ x y) 3)) (pow z 3)))))) z) |
(/ -2 z) |
(/ (- (* -2 (/ (+ x y) z)) 2) z) |
(/ (- (* -2 (/ (pow (+ x y) 2) (pow z 2))) (+ 2 (* 2 (/ (+ x y) z)))) z) |
(/ (- (* -2 (/ (pow (+ x y) 3) (pow z 3))) (+ 2 (+ (* 2 (/ (+ x y) z)) (* 2 (/ (pow (+ x y) 2) (pow z 2)))))) z) |
z |
(* z (+ 1 (* -1 (/ (+ x y) z)))) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (/ x z) 1)) |
(* z (- (/ y z) 1)) |
(* -1 (/ t z)) |
(/ (+ (* -1 t) (* -1 (/ (* t (+ x y)) z))) z) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 2)) (pow z 2)))) (/ (* t (+ x y)) z)) z) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 3)) (pow z 3)))) (+ (/ (* t (+ x y)) z) (/ (* t (pow (+ x y) 2)) (pow z 2)))) z) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (/ (+ (* 2 t) (* 2 (/ (* t (+ x y)) z))) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (* t (+ x y))) (* -2 (/ (* t (pow (+ x y) 2)) z))) z)) (* 2 t)) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (* t (+ x y))) (* -1 (/ (+ (* 2 (* t (pow (+ x y) 2))) (* 2 (/ (* t (pow (+ x y) 3)) z))) z))) z)) (* 2 t)) z)) |
(* -1 (/ (+ 2 (* 2 (/ (+ x y) z))) z)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow (+ x y) 2) z)) (* 2 (+ x y))) z))) z)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow (+ x y) 3) z)) (* -2 (pow (+ x y) 2))) z)) (* 2 (+ x y))) z))) z)) |
(* -1 (* z (- (+ (/ x z) (/ y z)) 1))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (/ (+ t (/ (* t (+ x y)) z)) z)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow (+ x y) 2)) z)) (* t (+ x y))) z))) z)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (+ x y) 3)) z) (* -1 (* t (pow (+ x y) 2)))) z)) (* t (+ x y))) z))) z)) |
(* -1/2 (/ (- z (+ x y)) t)) |
(* -2 (/ t (- z (+ x y)))) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/ 1/2 t) |
(/ t (- (+ x y) z)) |
| Outputs |
|---|
(* -1/2 (/ (- z y) t)) |
(*.f64 (/.f64 (-.f64 z y) t) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ (- z y) t)) (* 1/2 (/ x t))) |
(fma.f64 (/.f64 x t) #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 z y) t) #s(literal -1/2 binary64))) |
(* -2 (/ t (- z y))) |
(*.f64 (/.f64 t (-.f64 z y)) #s(literal -2 binary64)) |
(+ (* -2 (/ t (- z y))) (* -2 (/ (* t x) (pow (- z y) 2)))) |
(*.f64 #s(literal -2 binary64) (fma.f64 t (/.f64 x (pow.f64 (-.f64 z y) #s(literal 2 binary64))) (/.f64 t (-.f64 z y)))) |
(+ (* -2 (/ t (- z y))) (* x (+ (* -2 (/ t (pow (- z y) 2))) (* -2 (/ (* t x) (pow (- z y) 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 t (/.f64 x (pow.f64 (-.f64 z y) #s(literal 3 binary64))) (/.f64 t (pow.f64 (-.f64 z y) #s(literal 2 binary64))))) x (*.f64 (/.f64 t (-.f64 z y)) #s(literal -2 binary64))) |
(+ (* -2 (/ t (- z y))) (* x (+ (* -2 (/ t (pow (- z y) 2))) (* x (+ (* -2 (/ t (pow (- z y) 3))) (* -2 (/ (* t x) (pow (- z y) 4)))))))) |
(fma.f64 (fma.f64 (*.f64 x #s(literal -2 binary64)) (fma.f64 t (/.f64 x (pow.f64 (-.f64 z y) #s(literal 4 binary64))) (/.f64 t (pow.f64 (-.f64 z y) #s(literal 3 binary64)))) (*.f64 (/.f64 t (pow.f64 (-.f64 z y) #s(literal 2 binary64))) #s(literal -2 binary64))) x (*.f64 (/.f64 t (-.f64 z y)) #s(literal -2 binary64))) |
(/ -2 (- z y)) |
(/.f64 #s(literal -2 binary64) (-.f64 z y)) |
(- (* -2 (/ x (pow (- z y) 2))) (* 2 (/ 1 (- z y)))) |
(fma.f64 (/.f64 x (pow.f64 (-.f64 z y) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (-.f64 z y))) |
(- (* x (- (* -2 (/ x (pow (- z y) 3))) (* 2 (/ 1 (pow (- z y) 2))))) (* 2 (/ 1 (- z y)))) |
(fma.f64 (fma.f64 (/.f64 x (pow.f64 (-.f64 z y) #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 z y) #s(literal 2 binary64)))) x (/.f64 #s(literal -2 binary64) (-.f64 z y))) |
(- (* x (- (* x (- (* -2 (/ x (pow (- z y) 4))) (* 2 (/ 1 (pow (- z y) 3))))) (* 2 (/ 1 (pow (- z y) 2))))) (* 2 (/ 1 (- z y)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (-.f64 z y) #s(literal 4 binary64))) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 z y) #s(literal 3 binary64)))) x (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 z y) #s(literal 2 binary64)))) x (/.f64 #s(literal -2 binary64) (-.f64 z y))) |
(- z y) |
(-.f64 z y) |
(- (+ z (* -1 x)) y) |
(-.f64 (-.f64 z x) y) |
(* 1/2 (/ (- y z) t)) |
(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 x z) t) (/.f64 y t))) |
(- y z) |
(-.f64 y z) |
(- (+ x y) z) |
(-.f64 (+.f64 x y) z) |
(* -1 z) |
(neg.f64 z) |
(- x z) |
(-.f64 x z) |
(/ t (- y z)) |
(/.f64 t (-.f64 y z)) |
(+ (* -1 (/ (* t x) (pow (- y z) 2))) (/ t (- y z))) |
(fma.f64 (neg.f64 t) (/.f64 x (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (/.f64 t (-.f64 y z))) |
(+ (* x (- (/ (* t x) (pow (- y z) 3)) (/ t (pow (- y z) 2)))) (/ t (- y z))) |
(fma.f64 (-.f64 (*.f64 t (/.f64 x (pow.f64 (-.f64 y z) #s(literal 3 binary64)))) (/.f64 t (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) x (/.f64 t (-.f64 y z))) |
(+ (* x (- (* x (- (* -1 (/ (* t x) (pow (- y z) 4))) (* -1 (/ t (pow (- y z) 3))))) (/ t (pow (- y z) 2)))) (/ t (- y z))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 t) (/.f64 x (pow.f64 (-.f64 y z) #s(literal 4 binary64))) (/.f64 t (pow.f64 (-.f64 y z) #s(literal 3 binary64)))) x (/.f64 (neg.f64 t) (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) x (/.f64 t (-.f64 y z))) |
(/ t y) |
(/.f64 t y) |
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(/.f64 (fma.f64 (/.f64 (-.f64 z x) y) #s(literal 2 binary64) #s(literal 2 binary64)) y) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow (- z x) 2) y)) (* -2 (- z x))) y)) 2) y)) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (pow.f64 (-.f64 z x) #s(literal 2 binary64)) y) (-.f64 z x))) (neg.f64 y)) #s(literal -1 binary64) #s(literal 2 binary64)) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow (- z x) 3) y)) (* 2 (pow (- z x) 2))) y)) (* -2 (- z x))) y)) 2) y)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 z x) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (pow.f64 (-.f64 z x) #s(literal 3 binary64)) y) (pow.f64 (-.f64 z x) #s(literal 2 binary64)))) (neg.f64 y))) (neg.f64 y)) #s(literal -1 binary64) #s(literal 2 binary64)) y) |
(* -1 (* y (+ 1 (* -1 (/ (- z x) y))))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) y))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 (/.f64 (-.f64 x z) t) y) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) t))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* y (- (/ z y) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 z y) #s(literal 1 binary64))) |
(* -1 (/ (+ (* -1 t) (/ (* t (- x z)) y)) y)) |
(/.f64 (fma.f64 t (/.f64 (-.f64 x z) y) (neg.f64 t)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow (- x z) 2)) y) (* t (- x z))) y))) y)) |
(/.f64 (-.f64 (/.f64 (*.f64 t (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) (-.f64 x z))) (neg.f64 y)) t) (neg.f64 y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (- x z) 3)) y) (* t (pow (- x z) 2))) y)) (* t (- x z))) y))) y)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 (-.f64 x z)) t (/.f64 (*.f64 t (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 3 binary64)) y) (pow.f64 (-.f64 x z) #s(literal 2 binary64)))) (neg.f64 y))) (neg.f64 y)) t) (neg.f64 y)) |
(* -1 (/ (+ (* -1 t) (/ (* t x) y)) y)) |
(/.f64 (fma.f64 t (/.f64 x y) (neg.f64 t)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (/ (* t (pow x 2)) y) (* t x)) y))) y)) |
(/.f64 (-.f64 (/.f64 (*.f64 t (-.f64 (*.f64 x (/.f64 x y)) x)) (neg.f64 y)) t) (neg.f64 y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (/ (* t (pow x 3)) y) (* t (pow x 2))) y)) (* t x)) y))) y)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 x) t (/.f64 (*.f64 t (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x))) (neg.f64 y))) (neg.f64 y)) t) (neg.f64 y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* 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))) |
(fma.f64 (/.f64 (+.f64 x y) t) #s(literal 1/2 binary64) (*.f64 (/.f64 z t) #s(literal -1/2 binary64))) |
(* 2 (/ t (+ x y))) |
(*.f64 (/.f64 t (+.f64 x y)) #s(literal 2 binary64)) |
(+ (* 2 (/ t (+ x y))) (* 2 (/ (* t z) (pow (+ x y) 2)))) |
(*.f64 #s(literal 2 binary64) (fma.f64 t (/.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (/.f64 t (+.f64 x y)))) |
(+ (* 2 (/ t (+ x y))) (* z (+ (* 2 (/ t (pow (+ x y) 2))) (* 2 (/ (* t z) (pow (+ x y) 3)))))) |
(fma.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t (/.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (/.f64 t (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 (/.f64 t (+.f64 x y)) #s(literal 2 binary64))) |
(+ (* 2 (/ t (+ x y))) (* z (+ (* 2 (/ t (pow (+ x y) 2))) (* z (+ (* 2 (/ t (pow (+ x y) 3))) (* 2 (/ (* t z) (pow (+ x y) 4)))))))) |
(fma.f64 (fma.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t (/.f64 z (pow.f64 (+.f64 x y) #s(literal 4 binary64))) (/.f64 t (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (*.f64 (/.f64 t (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64))) z (*.f64 (/.f64 t (+.f64 x y)) #s(literal 2 binary64))) |
(/ 2 (+ x y)) |
(/.f64 #s(literal 2 binary64) (+.f64 x y)) |
(+ (* 2 (/ z (pow (+ x y) 2))) (* 2 (/ 1 (+ x y)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) z (/.f64 #s(literal 2 binary64) (+.f64 x y))) |
(+ (* z (+ (* 2 (/ z (pow (+ x y) 3))) (* 2 (/ 1 (pow (+ x y) 2))))) (* 2 (/ 1 (+ x y)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) z (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) z (/.f64 #s(literal 2 binary64) (+.f64 x y))) |
(+ (* z (+ (* z (+ (* 2 (/ z (pow (+ x y) 4))) (* 2 (/ 1 (pow (+ x y) 3))))) (* 2 (/ 1 (pow (+ x y) 2))))) (* 2 (/ 1 (+ x y)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (+.f64 x y) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) z (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) z (/.f64 #s(literal 2 binary64) (+.f64 x y))) |
(* -1 (+ x y)) |
(neg.f64 (+.f64 x y)) |
(- z (+ x y)) |
(-.f64 (-.f64 z x) y) |
(+ x (+ y (* -1 z))) |
(-.f64 (+.f64 x y) z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(/ t (+ x y)) |
(/.f64 t (+.f64 x y)) |
(+ (/ t (+ x y)) (/ (* t z) (pow (+ x y) 2))) |
(fma.f64 t (/.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (/.f64 t (+.f64 x y))) |
(+ (* z (- (/ (* t z) (pow (+ x y) 3)) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y))) |
(fma.f64 (fma.f64 t (/.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (/.f64 t (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) z (/.f64 t (+.f64 x y))) |
(+ (* z (- (* z (- (/ (* t z) (pow (+ x y) 4)) (* -1 (/ t (pow (+ x y) 3))))) (* -1 (/ t (pow (+ x y) 2))))) (/ t (+ x y))) |
(fma.f64 (fma.f64 (fma.f64 t (/.f64 z (pow.f64 (+.f64 x y) #s(literal 4 binary64))) (/.f64 t (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) z (/.f64 t (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) z (/.f64 t (+.f64 x y))) |
(* -1/2 (/ z t)) |
(*.f64 (/.f64 z t) #s(literal -1/2 binary64)) |
(* z (- (* 1/2 (/ (+ x y) (* t z))) (* 1/2 (/ 1 t)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (+.f64 x y) t) (/.f64 #s(literal -1/2 binary64) t)) z) |
(* -2 (/ t z)) |
(*.f64 (/.f64 t z) #s(literal -2 binary64)) |
(/ (+ (* -2 t) (* -2 (/ (* t (+ x y)) z))) z) |
(*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (+.f64 x y) (/.f64 t z) t) z)) |
(/ (+ (* -2 t) (+ (* -2 (/ (* t (+ x y)) z)) (* -2 (/ (* t (pow (+ x y) 2)) (pow z 2))))) z) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 t (+.f64 (/.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) z) z) (/.f64 (+.f64 x y) z)) t)) z) |
(/ (+ (* -2 t) (+ (* -2 (/ (* t (+ x y)) z)) (+ (* -2 (/ (* t (pow (+ x y) 2)) (pow z 2))) (* -2 (/ (* t (pow (+ x y) 3)) (pow z 3)))))) z) |
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (fma.f64 (+.f64 x y) (/.f64 t z) t) (*.f64 t (+.f64 (/.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) z) z) (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3 binary64)))))) z) |
(/ -2 z) |
(/.f64 #s(literal -2 binary64) z) |
(/ (- (* -2 (/ (+ x y) z)) 2) z) |
(/.f64 (fma.f64 (/.f64 (+.f64 x y) z) #s(literal -2 binary64) #s(literal -2 binary64)) z) |
(/ (- (* -2 (/ (pow (+ x y) 2) (pow z 2))) (+ 2 (* 2 (/ (+ x y) z)))) z) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) z) (+.f64 x y))) z) #s(literal 2 binary64)) z) |
(/ (- (* -2 (/ (pow (+ x y) 3) (pow z 3))) (+ 2 (+ (* 2 (/ (+ x y) z)) (* 2 (/ (pow (+ x y) 2) (pow z 2)))))) z) |
(/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3 binary64)) #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) z) z) (/.f64 (+.f64 x y) z)))) z) |
z |
(* z (+ 1 (* -1 (/ (+ x y) z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) z)) z) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 y t) (/.f64 x t)) z) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) t)) z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(fma.f64 (+.f64 (/.f64 y z) (/.f64 x z)) z (neg.f64 z)) |
(* z (- (/ x z) 1)) |
(*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z) |
(* z (- (/ y z) 1)) |
(*.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) z) |
(* -1 (/ t z)) |
(/.f64 (neg.f64 t) z) |
(/ (+ (* -1 t) (* -1 (/ (* t (+ x y)) z))) z) |
(/.f64 (fma.f64 (+.f64 x y) (/.f64 t z) t) (neg.f64 z)) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 2)) (pow z 2)))) (/ (* t (+ x y)) z)) z) |
(/.f64 (fma.f64 #s(literal -1 binary64) t (/.f64 (neg.f64 (*.f64 t (+.f64 (+.f64 x y) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) z)))) z)) z) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow (+ x y) 3)) (pow z 3)))) (+ (/ (* t (+ x y)) z) (/ (* t (pow (+ x y) 2)) (pow z 2)))) z) |
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 t (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3 binary64)) t) (/.f64 (neg.f64 (*.f64 t (+.f64 (+.f64 x y) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) z)))) z)) z) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(*.f64 (neg.f64 z) (fma.f64 (/.f64 (+.f64 (/.f64 y t) (/.f64 x t)) z) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) t))) |
(* -1 (/ (+ (* 2 t) (* 2 (/ (* t (+ x y)) z))) z)) |
(*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (+.f64 x y) (/.f64 t z) t) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (* t (+ x y))) (* -2 (/ (* t (pow (+ x y) 2)) z))) z)) (* 2 t)) z)) |
(/.f64 (fma.f64 #s(literal 2 binary64) t (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 t (+.f64 (+.f64 x y) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) z)))) z)) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (* t (+ x y))) (* -1 (/ (+ (* 2 (* t (pow (+ x y) 2))) (* 2 (/ (* t (pow (+ x y) 3)) z))) z))) z)) (* 2 t)) z)) |
(/.f64 (fma.f64 #s(literal 2 binary64) t (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 x y)) t (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) z)))) z)) (neg.f64 z))) (neg.f64 z)) |
(* -1 (/ (+ 2 (* 2 (/ (+ x y) z))) z)) |
(/.f64 (fma.f64 (/.f64 (+.f64 x y) z) #s(literal 2 binary64) #s(literal 2 binary64)) (neg.f64 z)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow (+ x y) 2) z)) (* 2 (+ x y))) z))) z)) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) z) (+.f64 x y))) z)) (neg.f64 z)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow (+ x y) 3) z)) (* -2 (pow (+ x y) 2))) z)) (* 2 (+ x y))) z))) z)) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x y) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) z) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (neg.f64 z))) z)) (neg.f64 z)) |
(* -1 (* z (- (+ (/ x z) (/ y z)) 1))) |
(*.f64 (neg.f64 z) (+.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 x z))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) z))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (/.f64 x z))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(* -1 (/ (+ t (/ (* t (+ x y)) z)) z)) |
(/.f64 (fma.f64 (+.f64 x y) (/.f64 t z) t) (neg.f64 z)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow (+ x y) 2)) z)) (* t (+ x y))) z))) z)) |
(/.f64 (-.f64 t (/.f64 (neg.f64 (*.f64 t (+.f64 (+.f64 x y) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) z)))) z)) (neg.f64 z)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow (+ x y) 3)) z) (* -1 (* t (pow (+ x y) 2)))) z)) (* t (+ x y))) z))) z)) |
(/.f64 (-.f64 t (/.f64 (fma.f64 (neg.f64 (+.f64 x y)) t (/.f64 (*.f64 t (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) z))) (neg.f64 z))) z)) (neg.f64 z)) |
(* -1/2 (/ (- z (+ x y)) t)) |
(*.f64 (/.f64 (-.f64 (-.f64 z x) y) t) #s(literal -1/2 binary64)) |
(* -2 (/ t (- z (+ x y)))) |
(*.f64 (/.f64 t (-.f64 (-.f64 z x) y)) #s(literal -2 binary64)) |
(* 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) |
(/ t (- (+ x y) z)) |
(/.f64 t (-.f64 (+.f64 x y) z)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 144 |
| 0 | 47 | 144 |
| 1 | 208 | 142 |
| 2 | 1395 | 142 |
| 0 | 8431 | 142 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t)) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) |
(/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) |
(-.f64 z (+.f64 y x)) |
#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) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) |
#s(approx (- (+ y x) z) (-.f64 x z)) |
(-.f64 x z) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 y z))) |
#s(approx (- (+ y x) z) (-.f64 y z)) |
(-.f64 y z) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t (+.f64 x y)))) |
#s(approx (/ t (- (+ y x) z)) (/.f64 t (+.f64 x y))) |
(/.f64 t (+.f64 x y)) |
(+.f64 x y) |
(+.f64 y x) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (neg.f64 t)) (/.f64 (pow.f64 (+.f64 (+.f64 x y) z) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 (+.f64 x y) z) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) t))) |
(*.f64 (/.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 (+.f64 x y) z) #s(literal -1 binary64)) (neg.f64 t))) |
(*.f64 (/.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) t) (/.f64 (pow.f64 (+.f64 (+.f64 x y) z) #s(literal -1 binary64)) #s(literal -2 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -2 binary64)) (/.f64 (pow.f64 (+.f64 (+.f64 x y) z) #s(literal -1 binary64)) t)) |
(*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (neg.f64 t)) (/.f64 (pow.f64 (fma.f64 (+.f64 x y) (+.f64 (+.f64 x y) z) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (+.f64 x y) (+.f64 (+.f64 x y) z) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) t))) |
(*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 (+.f64 x y) (+.f64 (+.f64 x y) z) (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 t))) |
(*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) t) (/.f64 (pow.f64 (fma.f64 (+.f64 x y) (+.f64 (+.f64 x y) z) (*.f64 z z)) #s(literal -1 binary64)) #s(literal -2 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal -2 binary64)) (/.f64 (pow.f64 (fma.f64 (+.f64 x y) (+.f64 (+.f64 x y) z) (*.f64 z z)) #s(literal -1 binary64)) t)) |
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(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.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 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (neg.f64 (+.f64 x y)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) |
(/.f64 (+.f64 x y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(+.f64 x y) |
(+.f64 y x) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (neg.f64 (-.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (neg.f64 (-.f64 x y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) |
(/.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 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.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 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (neg.f64 (+.f64 x y)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) |
(/.f64 (+.f64 x y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(+.f64 x y) |
(+.f64 y x) |
Compiled 14 178 to 2 530 computations (82.2% saved)
12 alts after pruning (2 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 634 | 1 | 635 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 635 | 12 | 647 |
| Status | Accuracy | Program |
|---|---|---|
| 70.5% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) | |
| ✓ | 62.5% | (/.f64 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ y x) z) (-.f64 y z)))) |
| ✓ | 73.8% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t (+.f64 x y)))) |
| ✓ | 62.5% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 y z))) |
| ✓ | 70.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) |
| ✓ | 33.0% | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
| ✓ | 74.0% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
| 67.3% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) t) #s(literal 1/2 binary64))) | |
| ✓ | 44.3% | #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)) |
| ✓ | 32.9% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
| ✓ | 34.0% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
Compiled 483 to 240 computations (50.3% 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))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 y z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 y z))) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) |
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ t (- (+ y x) z)) (/.f64 t (+.f64 x y)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 t #s(approx (- (+ y x) z) (-.f64 y z)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) t) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x)) |
| Outputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
8 calls:
| 6.0ms | (*.f64 t #s(literal 2 binary64)) |
| 6.0ms | (+.f64 x y) |
| 6.0ms | z |
| 6.0ms | x |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | t |
| 100.0% | 1 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 100.0% | 1 | (-.f64 (+.f64 x y) z) |
| 100.0% | 1 | (+.f64 x y) |
| 100.0% | 1 | (*.f64 t #s(literal 2 binary64)) |
Compiled 24 to 42 computations (-75% saved)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
#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))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 y z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 y z))) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) |
8 calls:
| 5.0ms | (*.f64 t #s(literal 2 binary64)) |
| 4.0ms | y |
| 4.0ms | (+.f64 x y) |
| 4.0ms | x |
| 4.0ms | t |
| 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))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 y z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 y z))) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
8 calls:
| 4.0ms | (+.f64 x y) |
| 4.0ms | y |
| 4.0ms | z |
| 4.0ms | t |
| 4.0ms | (*.f64 t #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.0% | 2 | x |
| 91.9% | 4 | y |
| 92.5% | 3 | z |
| 80.2% | 4 | t |
| 98.3% | 2 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 98.5% | 2 | (-.f64 (+.f64 x y) z) |
| 98.8% | 2 | (+.f64 x y) |
| 80.2% | 4 | (*.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))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 y z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 y 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))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 y z))) |
1 calls:
| 4.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 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))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 y z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 y z))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 y z))) |
1 calls:
| 3.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 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))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 y z))) |
| Outputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 y z))) |
5 calls:
| 3.0ms | (-.f64 (+.f64 x y) z) |
| 3.0ms | (+.f64 x y) |
| 3.0ms | x |
| 3.0ms | z |
| 3.0ms | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.4% | 3 | z |
| 87.3% | 2 | x |
| 89.8% | 2 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 89.8% | 2 | (-.f64 (+.f64 x y) z) |
| 87.4% | 2 | (+.f64 x y) |
Compiled 19 to 28 computations (-47.4% saved)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
#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:
| 3.0ms | (+.f64 x y) |
| 3.0ms | (-.f64 (+.f64 x y) z) |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.5% | 3 | x |
| 78.3% | 3 | (+.f64 x y) |
| 77.3% | 3 | y |
| 87.2% | 3 | z |
| 74.0% | 1 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 74.0% | 1 | (-.f64 (+.f64 x y) z) |
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))) |
5 calls:
| 2.0ms | t |
| 2.0ms | (*.f64 t #s(literal 2 binary64)) |
| 2.0ms | (+.f64 x y) |
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.9% | 3 | x |
| 77.5% | 3 | (+.f64 x y) |
| 44.3% | 1 | t |
| 44.3% | 1 | (*.f64 t #s(literal 2 binary64)) |
| 61.6% | 3 | z |
Compiled 9 to 23 computations (-155.6% saved)
| Inputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
1 calls:
| 2.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.4% | 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)) |
6 calls:
| 2.0ms | (+.f64 x y) |
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | (-.f64 (+.f64 x y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.6% | 3 | z |
| 44.9% | 2 | x |
| 45.8% | 2 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 45.4% | 2 | (-.f64 (+.f64 x y) z) |
| 53.6% | 4 | y |
| 51.9% | 2 | (+.f64 x y) |
Compiled 20 to 32 computations (-60% 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:
| 1.0ms | t |
| 1.0ms | (*.f64 t #s(literal 2 binary64)) |
| 1.0ms | z |
| 1.0ms | (-.f64 (+.f64 x y) z) |
| 1.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.0% | 1 | x |
| 34.0% | 1 | (-.f64 (+.f64 x y) z) |
| 34.0% | 1 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 34.0% | 1 | t |
| 34.0% | 1 | (*.f64 t #s(literal 2 binary64)) |
| 34.0% | 1 | y |
| 34.0% | 1 | (+.f64 x y) |
| 34.0% | 1 | z |
Compiled 24 to 42 computations (-75% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -8.959191457240718e-163 | -5.499179287909306e-164 |
Compiled 12 to 16 computations (-33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5.499179287909306e-164 | -1.5978531306817258e-171 |
Compiled 12 to 16 computations (-33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -8.959191457240718e-163 | -5.499179287909306e-164 |
Compiled 12 to 16 computations (-33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -8.959191457240718e-163 | -6.366508188027165e-224 |
Compiled 12 to 16 computations (-33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 2.167833809321769e+200 | 2.227863374587322e+201 |
| 12.0ms | -5.156634731249933e+159 | -1.7823103948402877e+152 |
| 11.0ms | 240× | 0 | valid |
Compiled 492 to 451 computations (8.3% saved)
ival-sub: 1.0ms (18.2% of total)ival-div: 1.0ms (18.2% of total)ival-add: 1.0ms (18.2% of total)ival-mult: 1.0ms (18.2% 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 | 5.498374202157626e+20 | 3.109225809962096e+27 |
| 0.0ms | -1.7458378911285296e-48 | -1.0513541771615825e-50 |
Compiled 12 to 16 computations (-33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.498374202157626e+20 | 3.109225809962096e+27 |
| 0.0ms | -1.7458378911285296e-48 | -1.0513541771615825e-50 |
Compiled 12 to 16 computations (-33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 4.184831981481152e+107 | 2.8989957829873947e+116 |
| 8.0ms | -5.375578955896589e-21 | -5.603649166777788e-22 |
| 11.0ms | 240× | 0 | valid |
Compiled 552 to 481 computations (12.9% saved)
ival-sub: 1.0ms (18.4% of total)ival-div: 1.0ms (18.4% of total)ival-add: 1.0ms (18.4% of total)ival-mult: 1.0ms (18.4% 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 | 76 | 413 |
| 1 | 93 | 413 |
| 2 | 100 | 413 |
| 3 | 102 | 413 |
| 4 | 103 | 413 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) |
(if (<=.f64 (+.f64 x y) #s(literal -8104522595470689/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))) |
(if (<=.f64 (+.f64 x y) #s(literal -6483618076376551/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 y z)))) |
(if (<=.f64 (+.f64 x y) #s(literal -8104522595470689/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 y z)))) |
(if (<=.f64 (-.f64 (+.f64 x y) z) #s(literal -8104522595470689/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 y z)))) |
(if (<=.f64 z #s(literal -1050000000000000083451894193183225223380418638772480878139616948604628707926215895366211738206236283543061889990792898121254712840699179674325774269153280 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) (if (<=.f64 z #s(literal 220000000000000000139853194806898428311119764471703627644923758996771683511103935140397510709262461170940556310077397859784116039565425662642862612258580395758107628559256064865640255966600887086874624 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 -822752278660603/822752278660603021077484591278675252491367932816789931674304512 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 1000000000000000000000 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 -822752278660603/822752278660603021077484591278675252491367932816789931674304512 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 1000000000000000000000 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 -3522454188830027/664613997892457936451903530140172288 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (if (<=.f64 z #s(literal 419999999999999993420328121796048806487585532967384810872604549092720407609666148594086969303340175968960512 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 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(/.f64 (-.f64 (+.f64 y x) z) (*.f64 #s(literal 2 binary64) t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) |
(if (<=.f64 (+.f64 x y) #s(literal -8104522595470689/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64)))) |
(if (<=.f64 (+.f64 y x) #s(literal -8104522595470689/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 #s(literal 2 binary64) t)) (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 #s(literal 2 binary64) t))) |
(if (<=.f64 (+.f64 x y) #s(literal -6483618076376551/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 y z)))) |
(if (<=.f64 (+.f64 y x) #s(literal -6483618076376551/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 #s(literal 2 binary64) t)) (*.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (/.f64 #s(literal 1/2 binary64) t))) |
(if (<=.f64 (+.f64 x y) #s(literal -8104522595470689/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 y z)))) |
(if (<=.f64 (+.f64 y x) #s(literal -8104522595470689/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896 binary64)) (*.f64 #s(approx (- (+ y x) z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) t)) (*.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (/.f64 #s(literal 1/2 binary64) t))) |
(if (<=.f64 (-.f64 (+.f64 x y) z) #s(literal -8104522595470689/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ x y) z) (-.f64 y z)))) |
(if (<=.f64 (-.f64 (+.f64 y x) z) #s(literal -8104522595470689/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) (*.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (/.f64 #s(literal 1/2 binary64) t))) |
(if (<=.f64 z #s(literal -1050000000000000083451894193183225223380418638772480878139616948604628707926215895366211738206236283543061889990792898121254712840699179674325774269153280 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) (if (<=.f64 z #s(literal 220000000000000000139853194806898428311119764471703627644923758996771683511103935140397510709262461170940556310077397859784116039565425662642862612258580395758107628559256064865640255966600887086874624 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 -822752278660603/822752278660603021077484591278675252491367932816789931674304512 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 1000000000000000000000 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 y x) #s(literal -822752278660603/822752278660603021077484591278675252491367932816789931674304512 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 y x) #s(literal 1000000000000000000000 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 -822752278660603/822752278660603021077484591278675252491367932816789931674304512 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 1000000000000000000000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))))) |
(if (<=.f64 (+.f64 y x) #s(literal -822752278660603/822752278660603021077484591278675252491367932816789931674304512 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 y x) #s(literal 1000000000000000000000 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 -3522454188830027/664613997892457936451903530140172288 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (if (<=.f64 z #s(literal 419999999999999993420328121796048806487585532967384810872604549092720407609666148594086969303340175968960512 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 | 9 | 20 |
| 0 | 13 | 20 |
| 1 | 57 | 20 |
| 2 | 473 | 20 |
| 3 | 7793 | 20 |
| 0 | 8232 | 20 |
| 0 | 340 | 1158 |
| 1 | 1049 | 1111 |
| 2 | 3101 | 1041 |
| 0 | 8495 | 1007 |
| 0 | 28 | 127 |
| 0 | 41 | 127 |
| 1 | 171 | 127 |
| 2 | 1142 | 127 |
| 0 | 8459 | 127 |
| 0 | 33 | 151 |
| 0 | 47 | 151 |
| 1 | 185 | 151 |
| 2 | 1267 | 151 |
| 0 | 8292 | 151 |
| 0 | 103 | 214 |
| 1 | 314 | 214 |
| 2 | 876 | 214 |
| 3 | 2921 | 194 |
| 4 | 7529 | 194 |
| 0 | 8723 | 194 |
| 1× | fuel |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 653 to 310 computations (52.5% saved)
(sort x y)
(negabs t)
Compiled 916 to 240 computations (73.8% saved)
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