
Time bar (total: 4.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 6 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 7 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 9 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 10 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 11 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 11 to 10 computations (9.1% saved)
| 368.0ms | 8 256× | 0 | valid |
ival-div: 52.0ms (27.4% of total)ival-mult: 51.0ms (26.9% of total)ival-sub: 43.0ms (22.6% of total)ival-add: 35.0ms (18.4% of total)ival-true: 6.0ms (3.2% of total)ival-assert: 3.0ms (1.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 24 | 0 | - | 0 | - | (/.f64 (*.f64 y (-.f64 z x)) t) |
| 0 | 0 | - | 0 | - | (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (*.f64 y (-.f64 z x)) |
| 0 | 0 | - | 0 | - | (-.f64 z x) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 y (-.f64 z x)) t) | o/n | 21 | 0 |
| ↳ | (*.f64 y (-.f64 z x)) | overflow | 50 | |
/.f64 | (/.f64 (*.f64 y (-.f64 z x)) t) | u/n | 2 | 0 |
| ↳ | (*.f64 y (-.f64 z x)) | underflow | 8 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 23 | 0 |
| - | 0 | 233 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 23 | 0 | 0 |
| - | 0 | 0 | 233 |
| number | freq |
|---|---|
| 0 | 233 |
| 1 | 23 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 28.0ms | 512× | 0 | valid |
Compiled 125 to 44 computations (64.8% saved)
ival-sub: 3.0ms (24.7% of total)ival-div: 3.0ms (24.7% of total)ival-mult: 3.0ms (24.7% of total)ival-add: 2.0ms (16.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 138 |
| 1 | 128 | 128 |
| 2 | 362 | 126 |
| 3 | 1024 | 126 |
| 4 | 3348 | 126 |
| 5 | 5898 | 126 |
| 0 | 8 | 9 |
| 0 | 12 | 9 |
| 1 | 18 | 9 |
| 2 | 35 | 9 |
| 3 | 53 | 9 |
| 4 | 104 | 9 |
| 5 | 219 | 9 |
| 6 | 397 | 9 |
| 7 | 655 | 9 |
| 8 | 1159 | 9 |
| 9 | 2100 | 9 |
| 10 | 2361 | 9 |
| 11 | 2433 | 9 |
| 12 | 2450 | 9 |
| 13 | 2451 | 9 |
| 14 | 2451 | 9 |
| 0 | 2451 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
| Outputs |
|---|
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 91.7% | (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 z x) | |
| cost-diff | 0 | (*.f64 y (-.f64 z x)) | |
| cost-diff | 0 | (/.f64 (*.f64 y (-.f64 z x)) t) | |
| cost-diff | 128 | (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 0 | 12 | 28 |
| 1 | 18 | 28 |
| 2 | 35 | 28 |
| 3 | 53 | 28 |
| 4 | 104 | 28 |
| 5 | 219 | 28 |
| 6 | 397 | 28 |
| 7 | 655 | 28 |
| 8 | 1159 | 28 |
| 9 | 2100 | 28 |
| 10 | 2361 | 28 |
| 11 | 2433 | 28 |
| 12 | 2450 | 28 |
| 13 | 2451 | 28 |
| 14 | 2451 | 28 |
| 0 | 2451 | 27 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
x |
(/.f64 (*.f64 y (-.f64 z x)) t) |
(*.f64 y (-.f64 z x)) |
y |
(-.f64 z x) |
z |
t |
| Outputs |
|---|
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
x |
(/.f64 (*.f64 y (-.f64 z x)) t) |
(*.f64 (/.f64 y t) (-.f64 z x)) |
(*.f64 y (-.f64 z x)) |
(*.f64 (-.f64 z x) y) |
y |
(-.f64 z x) |
z |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 z x) | |
| accuracy | 0.0078125 | (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) | |
| accuracy | 0.0078125 | (*.f64 y (-.f64 z x)) | |
| accuracy | 5.751728445947436 | (/.f64 (*.f64 y (-.f64 z x)) t) |
| 13.0ms | 256× | 0 | valid |
Compiled 58 to 18 computations (69% saved)
ival-div: 2.0ms (34% of total)ival-mult: 2.0ms (34% of total)ival-sub: 1.0ms (17% of total)ival-add: 1.0ms (17% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
(/.f64 (*.f64 y (-.f64 z x)) t) |
(*.f64 y (-.f64 z x)) |
(-.f64 z x) |
| Outputs |
|---|
(/ (* y z) t) |
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t)) |
(+ (* -1 (/ (* x y) t)) (/ (* y z) t)) |
(* y z) |
(+ (* -1 (* x y)) (* y z)) |
z |
(+ z (* -1 x)) |
(* x (+ 1 (* -1 (/ y t)))) |
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x))))) |
(* -1 (/ (* x y) t)) |
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x)))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(* -1 x) |
(* x (- (/ z x) 1)) |
(* -1 (* x (- (/ y t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1))) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t)))) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
x |
(+ x (* y (- (/ z t) (/ x t)))) |
(/ (* y (- z x)) t) |
(* y (- z x)) |
(* y (- (/ z t) (/ x t))) |
(* y (- (+ (/ x y) (/ z t)) (/ x t))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t))))) |
(+ x (* -1 (/ (* x y) t))) |
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t))) |
(- z x) |
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t)))) |
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t))) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z))))) |
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z))))) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(* -1 (* z (- (/ x z) 1))) |
(/ (+ (* t x) (* y (- z x))) t) |
(+ x (/ (* y (- z x)) t)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | ((+ x (/ (* y (- z x)) t)) (/ (* y (- z x)) t) (* y (- z x)) (- z x)) |
| 2.0ms | t | @ | -inf | ((+ x (/ (* y (- z x)) t)) (/ (* y (- z x)) t) (* y (- z x)) (- z x)) |
| 1.0ms | y | @ | -inf | ((+ x (/ (* y (- z x)) t)) (/ (* y (- z x)) t) (* y (- z x)) (- z x)) |
| 1.0ms | z | @ | -inf | ((+ x (/ (* y (- z x)) t)) (/ (* y (- z x)) t) (* y (- z x)) (- z x)) |
| 1.0ms | x | @ | -inf | ((+ x (/ (* y (- z x)) t)) (/ (* y (- z x)) t) (* y (- z x)) (- z x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 347 |
| 1 | 343 | 309 |
| 2 | 1093 | 241 |
| 3 | 3341 | 241 |
| 4 | 6469 | 241 |
| 0 | 8274 | 230 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* y z) t) |
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t)) |
(+ (* -1 (/ (* x y) t)) (/ (* y z) t)) |
(* y z) |
(+ (* -1 (* x y)) (* y z)) |
z |
(+ z (* -1 x)) |
(* x (+ 1 (* -1 (/ y t)))) |
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x))))) |
(* -1 (/ (* x y) t)) |
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x)))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(* -1 x) |
(* x (- (/ z x) 1)) |
(* -1 (* x (- (/ y t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1))) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t)))) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
x |
(+ x (* y (- (/ z t) (/ x t)))) |
(/ (* y (- z x)) t) |
(* y (- z x)) |
(* y (- (/ z t) (/ x t))) |
(* y (- (+ (/ x y) (/ z t)) (/ x t))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t))))) |
(+ x (* -1 (/ (* x y) t))) |
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t))) |
(- z x) |
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t)))) |
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t))) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z))))) |
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z))))) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(* -1 (* z (- (/ x z) 1))) |
(/ (+ (* t x) (* y (- z x))) t) |
(+ x (/ (* y (- z x)) t)) |
| Outputs |
|---|
(/ (* y z) t) |
(/.f64 (*.f64 z y) t) |
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t)) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(+ (* -1 (/ (* x y) t)) (/ (* y z) t)) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* y z) |
(*.f64 z y) |
(+ (* -1 (* x y)) (* y z)) |
(*.f64 (-.f64 z x) y) |
z |
(+ z (* -1 x)) |
(-.f64 z x) |
(* x (+ 1 (* -1 (/ y t)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x) |
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x))))) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(* -1 (/ (* x y) t)) |
(*.f64 (/.f64 (neg.f64 x) t) y) |
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x)))) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(*.f64 (-.f64 z x) y) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ z x) 1)) |
(-.f64 z x) |
(* -1 (* x (- (/ y t) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1))) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t)))) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(*.f64 (-.f64 z x) y) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(-.f64 z x) |
x |
(+ x (* y (- (/ z t) (/ x t)))) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(/ (* y (- z x)) t) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* y (- z x)) |
(*.f64 (-.f64 z x) y) |
(* y (- (/ z t) (/ x t))) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* y (- (+ (/ x y) (/ z t)) (/ x t))) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t))))) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(+ x (* -1 (/ (* x y) t))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x) |
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t))) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(- z x) |
(-.f64 z x) |
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t)))) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t))) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 z x) y) |
(* z (+ 1 (* -1 (/ x z)))) |
(-.f64 z x) |
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z))))) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z))))) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(*.f64 (-.f64 z x) y) |
(* -1 (* z (- (/ x z) 1))) |
(-.f64 z x) |
(/ (+ (* t x) (* y (- z x))) t) |
(/.f64 (fma.f64 (-.f64 z x) y (*.f64 t x)) t) |
(+ x (/ (* y (- z x)) t)) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 49 | 24 |
| 2 | 407 | 24 |
| 3 | 7013 | 24 |
| 0 | 8170 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
(/.f64 (*.f64 y (-.f64 z x)) t) |
(*.f64 y (-.f64 z x)) |
(-.f64 z x) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 (-.f64 z x) y) t) (fma.f64 (/.f64 y t) (-.f64 z x) x) (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t)) (-.f64 (*.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)))) (fma.f64 (/.f64 y t) (-.f64 z x) x)) |
(*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)))) |
(*.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t)) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 (-.f64 z x) y) t)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t) (*.f64 x x))))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y t) (-.f64 z x) x)) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t) (*.f64 x x)) (/.f64 (fma.f64 (/.f64 y t) (-.f64 z x) x) (fma.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t) (*.f64 x x)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t) (*.f64 x x)) (*.f64 (fma.f64 (/.f64 y t) (-.f64 z x) x) (pow.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (/.f64 y t) (-.f64 z x) x) (/.f64 (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t)) (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t)))) |
(*.f64 (fma.f64 (/.f64 y t) (-.f64 z x) x) (*.f64 (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t)) (pow.f64 (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y t) (-.f64 z x) x)) #s(literal -1 binary64)) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) (neg.f64 (neg.f64 (+.f64 z x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) #s(literal 1 binary64)) (+.f64 z x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 z z (*.f64 x x)) (+.f64 z x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 z z (*.f64 x x)) (pow.f64 z #s(literal 4 binary64))) (+.f64 z x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 z x)) (*.f64 (+.f64 z x) (*.f64 x x))) (*.f64 (+.f64 z x) (+.f64 z x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 z x) (fma.f64 z z (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 z x) (fma.f64 (*.f64 x x) (fma.f64 z z (*.f64 x x)) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (+.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z))) (neg.f64 (+.f64 z x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) z) (*.f64 z z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (+.f64 z x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) z) (*.f64 z z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z x))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 (neg.f64 x) z)))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) z) (*.f64 z z))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z))) |
(neg.f64 (neg.f64 (-.f64 z x))) |
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)))) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z x) x) (-.f64 (*.f64 (+.f64 z x) x) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(fma.f64 (/.f64 (*.f64 z z) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 z z (*.f64 x (-.f64 x z))) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x))))) |
(fma.f64 (/.f64 (*.f64 z z) (fma.f64 (neg.f64 x) x (*.f64 z z))) (-.f64 z x) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x))))) |
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(fma.f64 #s(literal -1 binary64) x z) |
(fma.f64 (*.f64 z z) (/.f64 z (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(fma.f64 (*.f64 z z) (pow.f64 (+.f64 z x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x))))) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(fma.f64 z (/.f64 (*.f64 z z) (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(fma.f64 z (/.f64 z (+.f64 z x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x))))) |
(fma.f64 x #s(literal -1 binary64) z) |
(-.f64 (+.f64 z #s(literal 0 binary64)) x) |
(-.f64 (*.f64 z (/.f64 z (+.f64 z x))) (*.f64 x (/.f64 x (+.f64 z x)))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(-.f64 #s(literal 0 binary64) (-.f64 x z)) |
(-.f64 z x) |
(+.f64 (*.f64 z (/.f64 z (+.f64 z x))) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x))))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(+.f64 (neg.f64 x) z) |
(+.f64 z (neg.f64 x)) |
Compiled 6 951 to 1 079 computations (84.5% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 294 | 10 | 304 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 295 | 10 | 305 |
| Status | Accuracy | Program |
|---|---|---|
| 46.1% | (fma.f64 (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -1/2 binary64)) x) | |
| ▶ | 91.8% | (fma.f64 (/.f64 (-.f64 z x) t) y x) |
| ▶ | 97.3% | (fma.f64 (/.f64 y t) (-.f64 z x) x) |
| 91.7% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 y) (-.f64 z x)) x) | |
| 71.8% | (+.f64 x (/.f64 #s(approx (* y (- z x)) (*.f64 z y)) t)) | |
| ▶ | 92.5% | (+.f64 x (/.f64 y (/.f64 t (-.f64 z x)))) |
| 91.6% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (-.f64 z x) y)))) | |
| ▶ | 56.4% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) |
| ▶ | 35.4% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) |
| 64.7% | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x)) |
Compiled 258 to 196 computations (24% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 z x) | |
| cost-diff | 0 | (/.f64 t (-.f64 z x)) | |
| cost-diff | 128 | (+.f64 x (/.f64 y (/.f64 t (-.f64 z x)))) | |
| cost-diff | 384 | (/.f64 y (/.f64 t (-.f64 z x))) | |
| cost-diff | 0 | (-.f64 z x) | |
| cost-diff | 0 | (/.f64 (-.f64 z x) t) | |
| cost-diff | 0 | (fma.f64 (/.f64 (-.f64 z x) t) y x) | |
| cost-diff | 0 | (-.f64 z x) | |
| cost-diff | 0 | (*.f64 (-.f64 z x) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 z x) y) t) | |
| cost-diff | 0 | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (/.f64 (*.f64 z y) t) | |
| cost-diff | 0 | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) | |
| cost-diff | 0 | (-.f64 z x) | |
| cost-diff | 0 | (/.f64 y t) | |
| cost-diff | 0 | (fma.f64 (/.f64 y t) (-.f64 z x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 128 |
| 0 | 36 | 125 |
| 1 | 48 | 125 |
| 2 | 66 | 125 |
| 3 | 111 | 125 |
| 4 | 202 | 125 |
| 5 | 306 | 125 |
| 6 | 483 | 125 |
| 7 | 835 | 125 |
| 8 | 1569 | 125 |
| 9 | 2545 | 125 |
| 10 | 2799 | 125 |
| 11 | 2863 | 125 |
| 12 | 2899 | 125 |
| 13 | 2900 | 125 |
| 14 | 2900 | 125 |
| 0 | 2900 | 125 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(/.f64 y t) |
y |
t |
(-.f64 z x) |
z |
x |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) |
(/.f64 (*.f64 z y) t) |
(*.f64 z y) |
z |
y |
t |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(*.f64 (-.f64 z x) y) |
(-.f64 z x) |
z |
x |
y |
t |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(/.f64 (-.f64 z x) t) |
(-.f64 z x) |
z |
x |
t |
y |
(+.f64 x (/.f64 y (/.f64 t (-.f64 z x)))) |
x |
(/.f64 y (/.f64 t (-.f64 z x))) |
y |
(/.f64 t (-.f64 z x)) |
t |
(-.f64 z x) |
z |
| Outputs |
|---|
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(fma.f64 (-.f64 z x) (/.f64 y t) x) |
(/.f64 y t) |
y |
t |
(-.f64 z x) |
z |
x |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 z (/.f64 y t))) |
(/.f64 (*.f64 z y) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 z y) |
z |
y |
t |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 (-.f64 z x) t) y)) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(*.f64 (/.f64 (-.f64 z x) t) y) |
(*.f64 (-.f64 z x) y) |
(-.f64 z x) |
z |
x |
y |
t |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(fma.f64 (-.f64 z x) (/.f64 y t) x) |
(/.f64 (-.f64 z x) t) |
(-.f64 z x) |
z |
x |
t |
y |
(+.f64 x (/.f64 y (/.f64 t (-.f64 z x)))) |
(fma.f64 (-.f64 z x) (/.f64 y t) x) |
x |
(/.f64 y (/.f64 t (-.f64 z x))) |
(*.f64 (/.f64 (-.f64 z x) t) y) |
y |
(/.f64 t (-.f64 z x)) |
t |
(-.f64 z x) |
z |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 z x) | |
| accuracy | 0.0078125 | (/.f64 t (-.f64 z x)) | |
| accuracy | 0.0078125 | (+.f64 x (/.f64 y (/.f64 t (-.f64 z x)))) | |
| accuracy | 5.610961120026852 | (/.f64 y (/.f64 t (-.f64 z x))) | |
| accuracy | 0 | (-.f64 z x) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 z x) t) | |
| accuracy | 5.241923822936288 | (fma.f64 (/.f64 (-.f64 z x) t) y x) | |
| accuracy | 0 | (-.f64 z x) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 z x) y) | |
| accuracy | 5.751728445947436 | (/.f64 (*.f64 (-.f64 z x) y) t) | |
| accuracy | 24.040157150835398 | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 5.543115458535205 | (/.f64 (*.f64 z y) t) | |
| accuracy | 38.48225606690012 | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) | |
| accuracy | 0 | (/.f64 y t) | |
| accuracy | 0 | (-.f64 z x) | |
| accuracy | 1.7444081971771999 | (fma.f64 (/.f64 y t) (-.f64 z x) x) |
| 37.0ms | 256× | 0 | valid |
Compiled 246 to 45 computations (81.7% saved)
ival-div: 10.0ms (43.5% of total)ival-mult: 7.0ms (30.5% of total)ival-add: 4.0ms (17.4% of total)ival-sub: 1.0ms (4.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(/.f64 y t) |
(-.f64 z x) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) |
(/.f64 (*.f64 z y) t) |
(*.f64 z y) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(*.f64 (-.f64 z x) y) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(/.f64 (-.f64 z x) t) |
(/.f64 y (/.f64 t (-.f64 z x))) |
(+.f64 x (/.f64 y (/.f64 t (-.f64 z x)))) |
(/.f64 t (-.f64 z x)) |
| Outputs |
|---|
(/ (* y z) t) |
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t)) |
z |
(+ z (* -1 x)) |
(+ (* -1 (/ (* x y) t)) (/ (* y z) t)) |
(* y z) |
(+ (* -1 (* x y)) (* y z)) |
(/ z t) |
(+ (* -1 (/ x t)) (/ z t)) |
(/ t z) |
(+ (/ t z) (/ (* t x) (pow z 2))) |
(+ (* x (- (/ (* t x) (pow z 3)) (* -1 (/ t (pow z 2))))) (/ t z)) |
(+ (* x (- (* x (- (/ (* t x) (pow z 4)) (* -1 (/ t (pow z 3))))) (* -1 (/ t (pow z 2))))) (/ t z)) |
(* x (+ 1 (* -1 (/ y t)))) |
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x))))) |
(* -1 x) |
(* x (- (/ z x) 1)) |
(* -1 (/ (* x y) t)) |
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x)))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(* -1 (/ x t)) |
(* x (- (/ z (* t x)) (/ 1 t))) |
(* -1 (/ t x)) |
(/ (+ (* -1 t) (* -1 (/ (* t z) x))) x) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow z 2)) (pow x 2)))) (/ (* t z) x)) x) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow z 3)) (pow x 3)))) (+ (/ (* t z) x) (/ (* t (pow z 2)) (pow x 2)))) x) |
(* -1 (* x (- (/ y t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t)))) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ (* -1 (/ z (* t x))) (/ 1 t)))) |
(* -1 (/ (+ t (/ (* t z) x)) x)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow z 2)) x)) (* t z)) x))) x)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow z 3)) x) (* -1 (* t (pow z 2)))) x)) (* t z)) x))) x)) |
x |
(+ x (* y (- (/ z t) (/ x t)))) |
(/ y t) |
(/ (* y (- z x)) t) |
(* y (- z x)) |
(* y (- (/ z t) (/ x t))) |
(* y (- (+ (/ x y) (/ z t)) (/ x t))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t))))) |
(+ x (* -1 (/ (* x y) t))) |
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t))) |
(- z x) |
(+ (* -1 (/ t x)) (* -1 (/ (* t z) (pow x 2)))) |
(+ (* -1 (/ t x)) (* z (- (* -1 (/ (* t z) (pow x 3))) (/ t (pow x 2))))) |
(+ (* -1 (/ t x)) (* z (- (* z (- (* -1 (/ (* t z) (pow x 4))) (/ t (pow x 3)))) (/ t (pow x 2))))) |
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t))) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(* z (+ (* -1 (/ x (* t z))) (/ 1 t))) |
(/ (+ t (/ (* t x) z)) z) |
(/ (- (+ t (/ (* t (pow x 2)) (pow z 2))) (* -1 (/ (* t x) z))) z) |
(/ (- (+ t (/ (* t (pow x 3)) (pow z 3))) (+ (* -1 (/ (* t x) z)) (* -1 (/ (* t (pow x 2)) (pow z 2))))) z) |
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z))))) |
(* -1 (* z (- (/ x z) 1))) |
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z))))) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(* -1 (* z (- (/ x (* t z)) (/ 1 t)))) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (* t x) z))) z)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* t x) (/ (* t (pow x 2)) z)) z))) z)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t (pow x 2))) (* -1 (/ (* t (pow x 3)) z))) z)) (* t x)) z))) z)) |
(/ (+ (* t x) (* y (- z x))) t) |
(/ (- z x) t) |
(/ t (- z x)) |
(+ x (/ (* y (- z x)) t)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | t | @ | 0 | ((+ (* (/ y t) (- z x)) x) (/ y t) (- z x) (+ x (/ (* y (- z x)) t)) (/ (* z y) t) (* z y) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (- z x) y) (+ (* (/ (- z x) t) y) x) (/ (- z x) t) (/ y (/ t (- z x))) (+ x (/ y (/ t (- z x)))) (/ t (- z x))) |
| 2.0ms | y | @ | -inf | ((+ (* (/ y t) (- z x)) x) (/ y t) (- z x) (+ x (/ (* y (- z x)) t)) (/ (* z y) t) (* z y) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (- z x) y) (+ (* (/ (- z x) t) y) x) (/ (- z x) t) (/ y (/ t (- z x))) (+ x (/ y (/ t (- z x)))) (/ t (- z x))) |
| 2.0ms | z | @ | -inf | ((+ (* (/ y t) (- z x)) x) (/ y t) (- z x) (+ x (/ (* y (- z x)) t)) (/ (* z y) t) (* z y) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (- z x) y) (+ (* (/ (- z x) t) y) x) (/ (- z x) t) (/ y (/ t (- z x))) (+ x (/ y (/ t (- z x)))) (/ t (- z x))) |
| 2.0ms | t | @ | -inf | ((+ (* (/ y t) (- z x)) x) (/ y t) (- z x) (+ x (/ (* y (- z x)) t)) (/ (* z y) t) (* z y) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (- z x) y) (+ (* (/ (- z x) t) y) x) (/ (- z x) t) (/ y (/ t (- z x))) (+ x (/ y (/ t (- z x)))) (/ t (- z x))) |
| 2.0ms | z | @ | inf | ((+ (* (/ y t) (- z x)) x) (/ y t) (- z x) (+ x (/ (* y (- z x)) t)) (/ (* z y) t) (* z y) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (- z x) y) (+ (* (/ (- z x) t) y) x) (/ (- z x) t) (/ y (/ t (- z x))) (+ x (/ y (/ t (- z x)))) (/ t (- z x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 246 | 788 |
| 1 | 770 | 732 |
| 2 | 2382 | 683 |
| 3 | 7272 | 683 |
| 0 | 8098 | 653 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* y z) t) |
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t)) |
z |
(+ z (* -1 x)) |
(+ (* -1 (/ (* x y) t)) (/ (* y z) t)) |
(* y z) |
(+ (* -1 (* x y)) (* y z)) |
(/ z t) |
(+ (* -1 (/ x t)) (/ z t)) |
(/ t z) |
(+ (/ t z) (/ (* t x) (pow z 2))) |
(+ (* x (- (/ (* t x) (pow z 3)) (* -1 (/ t (pow z 2))))) (/ t z)) |
(+ (* x (- (* x (- (/ (* t x) (pow z 4)) (* -1 (/ t (pow z 3))))) (* -1 (/ t (pow z 2))))) (/ t z)) |
(* x (+ 1 (* -1 (/ y t)))) |
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x))))) |
(* -1 x) |
(* x (- (/ z x) 1)) |
(* -1 (/ (* x y) t)) |
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x)))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(* -1 (/ x t)) |
(* x (- (/ z (* t x)) (/ 1 t))) |
(* -1 (/ t x)) |
(/ (+ (* -1 t) (* -1 (/ (* t z) x))) x) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow z 2)) (pow x 2)))) (/ (* t z) x)) x) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow z 3)) (pow x 3)))) (+ (/ (* t z) x) (/ (* t (pow z 2)) (pow x 2)))) x) |
(* -1 (* x (- (/ y t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t)))) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ (* -1 (/ z (* t x))) (/ 1 t)))) |
(* -1 (/ (+ t (/ (* t z) x)) x)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow z 2)) x)) (* t z)) x))) x)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow z 3)) x) (* -1 (* t (pow z 2)))) x)) (* t z)) x))) x)) |
x |
(+ x (* y (- (/ z t) (/ x t)))) |
(/ y t) |
(/ (* y (- z x)) t) |
(* y (- z x)) |
(* y (- (/ z t) (/ x t))) |
(* y (- (+ (/ x y) (/ z t)) (/ x t))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t))))) |
(+ x (* -1 (/ (* x y) t))) |
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t))) |
(- z x) |
(+ (* -1 (/ t x)) (* -1 (/ (* t z) (pow x 2)))) |
(+ (* -1 (/ t x)) (* z (- (* -1 (/ (* t z) (pow x 3))) (/ t (pow x 2))))) |
(+ (* -1 (/ t x)) (* z (- (* z (- (* -1 (/ (* t z) (pow x 4))) (/ t (pow x 3)))) (/ t (pow x 2))))) |
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t))) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(* z (+ (* -1 (/ x (* t z))) (/ 1 t))) |
(/ (+ t (/ (* t x) z)) z) |
(/ (- (+ t (/ (* t (pow x 2)) (pow z 2))) (* -1 (/ (* t x) z))) z) |
(/ (- (+ t (/ (* t (pow x 3)) (pow z 3))) (+ (* -1 (/ (* t x) z)) (* -1 (/ (* t (pow x 2)) (pow z 2))))) z) |
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z))))) |
(* -1 (* z (- (/ x z) 1))) |
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z))))) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(* -1 (* z (- (/ x (* t z)) (/ 1 t)))) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (* t x) z))) z)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* t x) (/ (* t (pow x 2)) z)) z))) z)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t (pow x 2))) (* -1 (/ (* t (pow x 3)) z))) z)) (* t x)) z))) z)) |
(/ (+ (* t x) (* y (- z x))) t) |
(/ (- z x) t) |
(/ t (- z x)) |
(+ x (/ (* y (- z x)) t)) |
| Outputs |
|---|
(/ (* y z) t) |
(/.f64 (*.f64 z y) t) |
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t)) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
z |
(+ z (* -1 x)) |
(-.f64 z x) |
(+ (* -1 (/ (* x y) t)) (/ (* y z) t)) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* y z) |
(*.f64 z y) |
(+ (* -1 (* x y)) (* y z)) |
(*.f64 (-.f64 z x) y) |
(/ z t) |
(/.f64 z t) |
(+ (* -1 (/ x t)) (/ z t)) |
(/.f64 (-.f64 z x) t) |
(/ t z) |
(/.f64 t z) |
(+ (/ t z) (/ (* t x) (pow z 2))) |
(*.f64 (-.f64 (/.f64 x z) #s(literal -1 binary64)) (/.f64 t z)) |
(+ (* x (- (/ (* t x) (pow z 3)) (* -1 (/ t (pow z 2))))) (/ t z)) |
(fma.f64 (*.f64 (-.f64 (/.f64 x z) #s(literal -1 binary64)) (/.f64 (/.f64 t z) z)) x (/.f64 t z)) |
(+ (* x (- (* x (- (/ (* t x) (pow z 4)) (* -1 (/ t (pow z 3))))) (* -1 (/ t (pow z 2))))) (/ t z)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 t (pow.f64 z #s(literal 4 binary64))) x (/.f64 t (pow.f64 z #s(literal 3 binary64)))) x (/.f64 (/.f64 t z) z)) x (/.f64 t z)) |
(* x (+ 1 (* -1 (/ y t)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x) |
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x))))) |
(fma.f64 (*.f64 (/.f64 y t) x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ z x) 1)) |
(*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x) |
(* -1 (/ (* x y) t)) |
(*.f64 (/.f64 (neg.f64 x) t) y) |
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x)))) |
(*.f64 (*.f64 (/.f64 y t) x) (-.f64 (/.f64 z x) #s(literal 1 binary64))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(*.f64 y (*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x)) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* x (- (/ z (* t x)) (/ 1 t))) |
(*.f64 (-.f64 (/.f64 (/.f64 z x) t) (/.f64 #s(literal 1 binary64) t)) x) |
(* -1 (/ t x)) |
(/.f64 t (neg.f64 x)) |
(/ (+ (* -1 t) (* -1 (/ (* t z) x))) x) |
(*.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow z 2)) (pow x 2)))) (/ (* t z) x)) x) |
(/.f64 (fma.f64 (/.f64 t x) (fma.f64 (/.f64 z x) z z) t) (neg.f64 x)) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow z 3)) (pow x 3)))) (+ (/ (* t z) x) (/ (* t (pow z 2)) (pow x 2)))) x) |
(/.f64 (neg.f64 (fma.f64 (/.f64 t x) (fma.f64 (/.f64 z x) z z) (fma.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) t t))) x) |
(* -1 (* x (- (/ y t) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1))) |
(fma.f64 (*.f64 (/.f64 y t) x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t)))) |
(*.f64 (*.f64 (/.f64 y t) x) (-.f64 (/.f64 z x) #s(literal 1 binary64))) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(*.f64 y (*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x)) |
(* -1 (* x (+ (* -1 (/ z (* t x))) (/ 1 t)))) |
(*.f64 (-.f64 (/.f64 (/.f64 z x) t) (/.f64 #s(literal 1 binary64) t)) x) |
(* -1 (/ (+ t (/ (* t z) x)) x)) |
(*.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow z 2)) x)) (* t z)) x))) x)) |
(/.f64 (fma.f64 (/.f64 t x) (fma.f64 (/.f64 z x) z z) t) (neg.f64 x)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow z 3)) x) (* -1 (* t (pow z 2)))) x)) (* t z)) x))) x)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 t x) (fma.f64 (/.f64 z x) z z) (fma.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) t t))) x) |
x |
(+ x (* y (- (/ z t) (/ x t)))) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(/ y t) |
(/.f64 y t) |
(/ (* y (- z x)) t) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* y (- z x)) |
(*.f64 (-.f64 z x) y) |
(* y (- (/ z t) (/ x t))) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* y (- (+ (/ x y) (/ z t)) (/ x t))) |
(*.f64 (+.f64 (/.f64 (-.f64 z x) t) (/.f64 x y)) y) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t))))) |
(*.f64 (+.f64 (/.f64 (-.f64 z x) t) (/.f64 x y)) y) |
(+ x (* -1 (/ (* x y) t))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x) |
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t))) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(- z x) |
(-.f64 z x) |
(+ (* -1 (/ t x)) (* -1 (/ (* t z) (pow x 2)))) |
(*.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
(+ (* -1 (/ t x)) (* z (- (* -1 (/ (* t z) (pow x 3))) (/ t (pow x 2))))) |
(fma.f64 (neg.f64 (*.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) (/.f64 (/.f64 t x) x))) z (/.f64 t (neg.f64 x))) |
(+ (* -1 (/ t x)) (* z (- (* z (- (* -1 (/ (* t z) (pow x 4))) (/ t (pow x 3)))) (/ t (pow x 2))))) |
(fma.f64 (neg.f64 (*.f64 z (fma.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64))) t (/.f64 t (pow.f64 x #s(literal 3 binary64)))))) z (*.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 z x)))) |
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t)))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 y t) (/.f64 x z)) z) |
(* z (+ 1 (* -1 (/ x z)))) |
(fma.f64 (/.f64 (neg.f64 x) z) z z) |
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 y t)) z) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(*.f64 (fma.f64 (neg.f64 y) (/.f64 x z) y) z) |
(* z (+ (* -1 (/ x (* t z))) (/ 1 t))) |
(fma.f64 (/.f64 (/.f64 (neg.f64 x) z) t) z (/.f64 z t)) |
(/ (+ t (/ (* t x) z)) z) |
(/.f64 (fma.f64 (/.f64 x z) t t) z) |
(/ (- (+ t (/ (* t (pow x 2)) (pow z 2))) (* -1 (/ (* t x) z))) z) |
(/.f64 (fma.f64 (/.f64 t z) (fma.f64 (/.f64 x z) x x) t) z) |
(/ (- (+ t (/ (* t (pow x 3)) (pow z 3))) (+ (* -1 (/ (* t x) z)) (* -1 (/ (* t (pow x 2)) (pow z 2))))) z) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) t (fma.f64 (/.f64 t z) (fma.f64 (/.f64 x z) x x) t)) z) |
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 y t) (/.f64 x z)) z) |
(* -1 (* z (- (/ x z) 1))) |
(fma.f64 (/.f64 (neg.f64 x) z) z z) |
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 y t)) z) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(*.f64 (fma.f64 (neg.f64 y) (/.f64 x z) y) z) |
(* -1 (* z (- (/ x (* t z)) (/ 1 t)))) |
(fma.f64 (/.f64 (/.f64 (neg.f64 x) z) t) z (/.f64 z t)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (* t x) z))) z)) |
(/.f64 (fma.f64 (/.f64 x z) t t) z) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* t x) (/ (* t (pow x 2)) z)) z))) z)) |
(/.f64 (fma.f64 t (/.f64 (fma.f64 (/.f64 x z) x x) z) t) z) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t (pow x 2))) (* -1 (/ (* t (pow x 3)) z))) z)) (* t x)) z))) z)) |
(/.f64 (+.f64 (/.f64 (fma.f64 t (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) z)) z) (*.f64 x t)) z) t) z) |
(/ (+ (* t x) (* y (- z x))) t) |
(/.f64 (fma.f64 (-.f64 z x) y (*.f64 x t)) t) |
(/ (- z x) t) |
(/.f64 (-.f64 z x) t) |
(/ t (- z x)) |
(/.f64 t (-.f64 z x)) |
(+ x (/ (* y (- z x)) t)) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 100 |
| 0 | 36 | 97 |
| 1 | 148 | 97 |
| 2 | 921 | 97 |
| 0 | 8422 | 97 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(/.f64 y t) |
(-.f64 z x) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) |
(/.f64 (*.f64 z y) t) |
(*.f64 z y) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(*.f64 (-.f64 z x) y) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(/.f64 (-.f64 z x) t) |
(/.f64 y (/.f64 t (-.f64 z x))) |
(+.f64 x (/.f64 y (/.f64 t (-.f64 z x)))) |
(/.f64 t (-.f64 z x)) |
| Outputs |
|---|
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) t) y) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z x) (/.f64 y t) x)) |
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) t) y) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z x) (/.f64 y t) x)) #s(literal -1 binary64)) |
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))))) |
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(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t y) (fma.f64 x (+.f64 x z) (*.f64 z z)))) x) |
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (/.f64 t y))) x) |
(fma.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1 binary64) z x) y) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 (neg.f64 y) (/.f64 (fma.f64 #s(literal -1 binary64) z x) t) x) |
(fma.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 1 binary64) x) |
(fma.f64 (/.f64 (-.f64 z x) t) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(fma.f64 (*.f64 (-.f64 z x) y) (pow.f64 t #s(literal -1 binary64)) x) |
(fma.f64 (-.f64 z x) (/.f64 y t) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 z x) t) y)) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(fma.f64 y (/.f64 (-.f64 z x) t) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)))) |
(-.f64 x (*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z x) t) y)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (neg.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))))) |
(+.f64 (*.f64 (/.f64 (-.f64 z x) t) y) x) |
(+.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) |
(*.f64 (pow.f64 (/.f64 (-.f64 z x) t) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 z x) t) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x z) (-.f64 z x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 x z) (pow.f64 t #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (pow.f64 t #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) t) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 z x))) |
(*.f64 (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 z x) #s(literal -1 binary64))) |
(*.f64 (/.f64 t (*.f64 (+.f64 x z) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 t (*.f64 (+.f64 x z) (-.f64 z x))) (+.f64 x z)) |
(*.f64 (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x z) (*.f64 z z))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 z x)) (pow.f64 (/.f64 #s(literal -1 binary64) t) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 z x)) (neg.f64 t)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 t) (-.f64 z x))) |
(*.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)) (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)) t) |
(*.f64 #s(literal 1 binary64) (/.f64 t (-.f64 z x))) |
(*.f64 (neg.f64 t) (neg.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (-.f64 z x))) |
(*.f64 (/.f64 t (-.f64 z x)) #s(literal 1 binary64)) |
(*.f64 t (neg.f64 (neg.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64))))) |
(*.f64 t (pow.f64 (-.f64 z x) #s(literal -1 binary64))) |
(pow.f64 (/.f64 t (-.f64 z x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (-.f64 z x) t) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64))) (neg.f64 (pow.f64 t #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) z x) t)) |
(/.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)) (pow.f64 t #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) t)) |
(/.f64 (/.f64 (neg.f64 t) (-.f64 z x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 t) (fma.f64 #s(literal -1 binary64) z x)) |
(/.f64 (/.f64 t (-.f64 z x)) #s(literal 1 binary64)) |
(/.f64 t (-.f64 z x)) |
(neg.f64 (/.f64 (neg.f64 t) (-.f64 z x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) z x)) (/.f64 (neg.f64 t) (-.f64 z x))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 t) (-.f64 z x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 z x) t)) #s(literal -1 binary64))) |
Compiled 17 221 to 2 138 computations (87.6% saved)
15 alts after pruning (12 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 725 | 10 | 735 |
| Fresh | 3 | 2 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 730 | 15 | 745 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 97.3% | (fma.f64 (/.f64 y t) (-.f64 z x) x) |
| ▶ | 64.7% | (fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) |
| ▶ | 91.7% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 y) (-.f64 z x)) x) |
| ▶ | 72.7% | (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
| 91.6% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (-.f64 z x) y)))) | |
| 59.9% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (-.f64 z x) (/.f64 t y))) | |
| ✓ | 56.4% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) |
| ▶ | 27.2% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)) |
| ✓ | 35.4% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) |
| 39.4% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 z (/.f64 t y))) | |
| 56.4% | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 (-.f64 z x) (pow.f64 y #s(literal -1 binary64))))) | |
| 36.1% | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) | |
| 59.7% | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) (-.f64 z x))) | |
| ▶ | 39.4% | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
| 26.5% | #s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (/.f64 (neg.f64 x) t) y))) |
Compiled 418 to 306 computations (26.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- z x) (neg.f64 x)) | |
| cost-diff | 0 | (/.f64 y t) | |
| cost-diff | 0 | (fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) | |
| cost-diff | 0 | #s(approx (- z x) (neg.f64 x)) | |
| cost-diff | 0 | (*.f64 #s(approx (- z x) (neg.f64 x)) y) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t) | |
| cost-diff | 0 | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | #s(approx (/ (- z x) t) (/.f64 z t)) | |
| cost-diff | 0 | (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) | |
| cost-diff | 0 | (/.f64 y t) | |
| cost-diff | 0 | (*.f64 (/.f64 y t) z) | |
| cost-diff | 0 | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) t) | |
| cost-diff | 128 | (*.f64 (neg.f64 y) (-.f64 z x)) | |
| cost-diff | 320 | (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 y) (-.f64 z x)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 158 |
| 0 | 43 | 158 |
| 1 | 72 | 158 |
| 2 | 137 | 156 |
| 3 | 445 | 155 |
| 4 | 1282 | 155 |
| 5 | 1890 | 155 |
| 6 | 3041 | 155 |
| 7 | 3738 | 155 |
| 8 | 3805 | 155 |
| 9 | 3836 | 155 |
| 10 | 3847 | 155 |
| 0 | 3847 | 152 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 y) (-.f64 z x)) x) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(*.f64 (neg.f64 y) (-.f64 z x)) |
(neg.f64 y) |
y |
(-.f64 z x) |
z |
x |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
(*.f64 (/.f64 y t) z) |
(/.f64 y t) |
y |
t |
z |
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
#s(approx (/ (- z x) t) (/.f64 z t)) |
(/.f64 z t) |
z |
t |
y |
x |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)) |
(/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t) |
(*.f64 #s(approx (- z x) (neg.f64 x)) y) |
#s(approx (- z x) (neg.f64 x)) |
(neg.f64 x) |
x |
y |
t |
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) |
(/.f64 y t) |
y |
t |
#s(approx (- z x) (neg.f64 x)) |
(neg.f64 x) |
x |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 y) (-.f64 z x)) x) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(*.f64 (neg.f64 y) (-.f64 z x)) |
(*.f64 (-.f64 x z) y) |
(neg.f64 y) |
y |
(-.f64 z x) |
z |
x |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
(*.f64 (/.f64 y t) z) |
(/.f64 y t) |
y |
t |
z |
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
#s(approx (/ (- z x) t) (/.f64 z t)) |
(/.f64 z t) |
z |
t |
y |
x |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)))) |
(/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t) |
(*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x))) |
(*.f64 #s(approx (- z x) (neg.f64 x)) y) |
#s(approx (- z x) (neg.f64 x)) |
(neg.f64 x) |
x |
y |
t |
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) |
(/.f64 y t) |
y |
t |
#s(approx (- z x) (neg.f64 x)) |
(neg.f64 x) |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 y t) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 1.7444081971771999 | (fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) | |
| accuracy | 30.958142870110777 | #s(approx (- z x) (neg.f64 x)) | |
| accuracy | 0.0078125 | (*.f64 #s(approx (- z x) (neg.f64 x)) y) | |
| accuracy | 5.751728445947436 | (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t) | |
| accuracy | 24.040157150835398 | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)) | |
| accuracy | 30.958142870110777 | #s(approx (- z x) (neg.f64 x)) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 5.241923822936288 | (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) | |
| accuracy | 30.538761872127015 | #s(approx (/ (- z x) t) (/.f64 z t)) | |
| accuracy | 0 | (/.f64 y t) | |
| accuracy | 5.318395909851895 | (*.f64 (/.f64 y t) z) | |
| accuracy | 38.48225606690012 | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) | |
| accuracy | 0 | (-.f64 z x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.0078125 | (*.f64 (neg.f64 y) (-.f64 z x)) | |
| accuracy | 5.324193722977429 | (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 y) (-.f64 z x)) x) |
| 50.0ms | 256× | 0 | valid |
Compiled 281 to 54 computations (80.8% saved)
ival-div: 11.0ms (35.5% of total)ival-mult: 11.0ms (35.5% of total)ival-add: 5.0ms (16.1% of total)ival-neg: 2.0ms (6.4% of total)ival-sub: 1.0ms (3.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 y) (-.f64 z x)) x) |
(*.f64 (neg.f64 y) (-.f64 z x)) |
(/.f64 #s(literal -1 binary64) t) |
(neg.f64 y) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
(*.f64 (/.f64 y t) z) |
(/.f64 y t) |
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
#s(approx (/ (- z x) t) (/.f64 z t)) |
(/.f64 z t) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)) |
(/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t) |
(*.f64 #s(approx (- z x) (neg.f64 x)) y) |
#s(approx (- z x) (neg.f64 x)) |
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) |
(neg.f64 x) |
(-.f64 z x) |
| Outputs |
|---|
(/ (* y z) t) |
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t)) |
(* -1 (* y z)) |
(+ (* -1 (* y z)) (* x y)) |
(/ z t) |
(+ (* -1 (/ x t)) (/ z t)) |
(+ (* -1 (/ (* x y) t)) (/ (* y z) t)) |
(* y z) |
(+ (* -1 (* x y)) (* y z)) |
z |
(+ z (* -1 x)) |
(* -1 x) |
(* x (+ 1 (* -1 (/ y t)))) |
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x))))) |
(* x y) |
(* x (+ y (* -1 (/ (* y z) x)))) |
(* -1 (/ x t)) |
(* x (- (/ z (* t x)) (/ 1 t))) |
(* -1 (/ (* x y) t)) |
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x)))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(* x (- (/ z x) 1)) |
(* -1 (* x (- (/ y t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1))) |
(* -1 (* x (+ (* -1 y) (/ (* y z) x)))) |
(* -1 (* x (+ (* -1 (/ z (* t x))) (/ 1 t)))) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t)))) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
x |
(+ x (* y (- (/ z t) (/ x t)))) |
(* -1 (* y (- z x))) |
(* -1 y) |
(/ y t) |
(/ (* y (- z x)) t) |
(* y (- z x)) |
(* y (- (/ z t) (/ x t))) |
(* y (- (+ (/ x y) (/ z t)) (/ x t))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t))))) |
(+ x (* -1 (/ (* x y) t))) |
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t))) |
(- z x) |
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t)))) |
(* z (+ (* -1 y) (/ (* x y) z))) |
(* z (+ (* -1 (/ x (* t z))) (/ 1 t))) |
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t))) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z))))) |
(* -1 (* z (+ y (* -1 (/ (* x y) z))))) |
(* -1 (* z (- (/ x (* t z)) (/ 1 t)))) |
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z))))) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(* -1 (* z (- (/ x z) 1))) |
(/ (+ (* t x) (* y (- z x))) t) |
(/ -1 t) |
(/ (- z x) t) |
(+ x (/ (* y (- z x)) t)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | t | @ | -inf | ((+ (* (/ -1 t) (* (neg y) (- z x))) x) (* (neg y) (- z x)) (/ -1 t) (neg y) (+ x (/ (* y (- z x)) t)) (* (/ y t) z) (/ y t) (+ (* (/ (- z x) t) y) x) (/ (- z x) t) (/ z t) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (- z x) y) (- z x) (+ (* (/ y t) (- z x)) x) (neg x) (- z x)) |
| 2.0ms | y | @ | -inf | ((+ (* (/ -1 t) (* (neg y) (- z x))) x) (* (neg y) (- z x)) (/ -1 t) (neg y) (+ x (/ (* y (- z x)) t)) (* (/ y t) z) (/ y t) (+ (* (/ (- z x) t) y) x) (/ (- z x) t) (/ z t) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (- z x) y) (- z x) (+ (* (/ y t) (- z x)) x) (neg x) (- z x)) |
| 2.0ms | z | @ | -inf | ((+ (* (/ -1 t) (* (neg y) (- z x))) x) (* (neg y) (- z x)) (/ -1 t) (neg y) (+ x (/ (* y (- z x)) t)) (* (/ y t) z) (/ y t) (+ (* (/ (- z x) t) y) x) (/ (- z x) t) (/ z t) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (- z x) y) (- z x) (+ (* (/ y t) (- z x)) x) (neg x) (- z x)) |
| 2.0ms | t | @ | 0 | ((+ (* (/ -1 t) (* (neg y) (- z x))) x) (* (neg y) (- z x)) (/ -1 t) (neg y) (+ x (/ (* y (- z x)) t)) (* (/ y t) z) (/ y t) (+ (* (/ (- z x) t) y) x) (/ (- z x) t) (/ z t) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (- z x) y) (- z x) (+ (* (/ y t) (- z x)) x) (neg x) (- z x)) |
| 2.0ms | y | @ | inf | ((+ (* (/ -1 t) (* (neg y) (- z x))) x) (* (neg y) (- z x)) (/ -1 t) (neg y) (+ x (/ (* y (- z x)) t)) (* (/ y t) z) (/ y t) (+ (* (/ (- z x) t) y) x) (/ (- z x) t) (/ z t) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (- z x) y) (- z x) (+ (* (/ y t) (- z x)) x) (neg x) (- z x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 344 |
| 1 | 415 | 335 |
| 2 | 1372 | 323 |
| 3 | 4088 | 323 |
| 4 | 7144 | 323 |
| 0 | 8244 | 312 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* y z) t) |
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t)) |
(* -1 (* y z)) |
(+ (* -1 (* y z)) (* x y)) |
(/ z t) |
(+ (* -1 (/ x t)) (/ z t)) |
(+ (* -1 (/ (* x y) t)) (/ (* y z) t)) |
(* y z) |
(+ (* -1 (* x y)) (* y z)) |
z |
(+ z (* -1 x)) |
(* -1 x) |
(* x (+ 1 (* -1 (/ y t)))) |
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x))))) |
(* x y) |
(* x (+ y (* -1 (/ (* y z) x)))) |
(* -1 (/ x t)) |
(* x (- (/ z (* t x)) (/ 1 t))) |
(* -1 (/ (* x y) t)) |
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x)))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(* x (- (/ z x) 1)) |
(* -1 (* x (- (/ y t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1))) |
(* -1 (* x (+ (* -1 y) (/ (* y z) x)))) |
(* -1 (* x (+ (* -1 (/ z (* t x))) (/ 1 t)))) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t)))) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
x |
(+ x (* y (- (/ z t) (/ x t)))) |
(* -1 (* y (- z x))) |
(* -1 y) |
(/ y t) |
(/ (* y (- z x)) t) |
(* y (- z x)) |
(* y (- (/ z t) (/ x t))) |
(* y (- (+ (/ x y) (/ z t)) (/ x t))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t))))) |
(+ x (* -1 (/ (* x y) t))) |
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t))) |
(- z x) |
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t)))) |
(* z (+ (* -1 y) (/ (* x y) z))) |
(* z (+ (* -1 (/ x (* t z))) (/ 1 t))) |
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t))) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z))))) |
(* -1 (* z (+ y (* -1 (/ (* x y) z))))) |
(* -1 (* z (- (/ x (* t z)) (/ 1 t)))) |
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z))))) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(* -1 (* z (- (/ x z) 1))) |
(/ (+ (* t x) (* y (- z x))) t) |
(/ -1 t) |
(/ (- z x) t) |
(+ x (/ (* y (- z x)) t)) |
| Outputs |
|---|
(/ (* y z) t) |
(/.f64 (*.f64 z y) t) |
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t)) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(+ (* -1 (* y z)) (* x y)) |
(*.f64 (-.f64 x z) y) |
(/ z t) |
(/.f64 z t) |
(+ (* -1 (/ x t)) (/ z t)) |
(/.f64 (-.f64 z x) t) |
(+ (* -1 (/ (* x y) t)) (/ (* y z) t)) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* y z) |
(*.f64 z y) |
(+ (* -1 (* x y)) (* y z)) |
(*.f64 (-.f64 z x) y) |
z |
(+ z (* -1 x)) |
(-.f64 z x) |
(* -1 x) |
(neg.f64 x) |
(* x (+ 1 (* -1 (/ y t)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x) |
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x))))) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(* x y) |
(*.f64 x y) |
(* x (+ y (* -1 (/ (* y z) x)))) |
(*.f64 (-.f64 x z) y) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* x (- (/ z (* t x)) (/ 1 t))) |
(/.f64 (-.f64 z x) t) |
(* -1 (/ (* x y) t)) |
(*.f64 (/.f64 (neg.f64 x) t) y) |
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x)))) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(*.f64 (-.f64 z x) y) |
(* x (- (/ z x) 1)) |
(-.f64 z x) |
(* -1 (* x (- (/ y t) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1))) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(* -1 (* x (+ (* -1 y) (/ (* y z) x)))) |
(*.f64 (-.f64 x z) y) |
(* -1 (* x (+ (* -1 (/ z (* t x))) (/ 1 t)))) |
(/.f64 (-.f64 z x) t) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t)))) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(*.f64 (-.f64 z x) y) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(-.f64 z x) |
x |
(+ x (* y (- (/ z t) (/ x t)))) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(* -1 (* y (- z x))) |
(*.f64 (-.f64 x z) y) |
(* -1 y) |
(neg.f64 y) |
(/ y t) |
(/.f64 y t) |
(/ (* y (- z x)) t) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* y (- z x)) |
(*.f64 (-.f64 z x) y) |
(* y (- (/ z t) (/ x t))) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* y (- (+ (/ x y) (/ z t)) (/ x t))) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t))))) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(+ x (* -1 (/ (* x y) t))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x) |
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t))) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(- z x) |
(-.f64 z x) |
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t)))) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(* z (+ (* -1 y) (/ (* x y) z))) |
(*.f64 (-.f64 x z) y) |
(* z (+ (* -1 (/ x (* t z))) (/ 1 t))) |
(/.f64 (-.f64 z x) t) |
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t))) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 z x) y) |
(* z (+ 1 (* -1 (/ x z)))) |
(-.f64 z x) |
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z))))) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(* -1 (* z (+ y (* -1 (/ (* x y) z))))) |
(*.f64 (-.f64 x z) y) |
(* -1 (* z (- (/ x (* t z)) (/ 1 t)))) |
(/.f64 (-.f64 z x) t) |
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z))))) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(*.f64 (-.f64 z x) y) |
(* -1 (* z (- (/ x z) 1))) |
(-.f64 z x) |
(/ (+ (* t x) (* y (- z x))) t) |
(/.f64 (fma.f64 (-.f64 z x) y (*.f64 x t)) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(/ (- z x) t) |
(/.f64 (-.f64 z x) t) |
(+ x (/ (* y (- z x)) t)) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 129 |
| 0 | 43 | 129 |
| 1 | 157 | 127 |
| 2 | 1220 | 127 |
| 0 | 8560 | 124 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 y) (-.f64 z x)) x) |
(*.f64 (neg.f64 y) (-.f64 z x)) |
(/.f64 #s(literal -1 binary64) t) |
(neg.f64 y) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
(*.f64 (/.f64 y t) z) |
(/.f64 y t) |
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
#s(approx (/ (- z x) t) (/.f64 z t)) |
(/.f64 z t) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)) |
(/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t) |
(*.f64 #s(approx (- z x) (neg.f64 x)) y) |
#s(approx (- z x) (neg.f64 x)) |
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) |
(neg.f64 x) |
(-.f64 z x) |
| Outputs |
|---|
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t)) (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (*.f64 (-.f64 z x) y) t) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t)) (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (*.f64 (-.f64 z x) y) t) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 z x) t) y x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 z x) t) y x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))))) (+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t))) (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t)))) (*.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t))) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t))))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t))) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) (*.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t))) (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t))) (fma.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t))) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t))) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t)) (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (-.f64 z x) y) t) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) (*.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t))) (*.f64 (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t)) (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)))) (*.f64 (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t)) (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t)) (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 (-.f64 z x) y) t) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) |
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(fma.f64 #s(literal -1 binary64) x z) |
(-.f64 (/.f64 (*.f64 z z) (+.f64 x z)) (/.f64 (*.f64 x x) (+.f64 x z))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 x (+.f64 x z) (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x z) (*.f64 z z)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) z x)) |
(-.f64 z x) |
(+.f64 (/.f64 (*.f64 z z) (+.f64 x z)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x z)))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 x (+.f64 x z) (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x z) (*.f64 z z))))) |
(+.f64 (neg.f64 x) z) |
(+.f64 z (neg.f64 x)) |
Compiled 11 466 to 1 375 computations (88% saved)
16 alts after pruning (9 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 484 | 6 | 490 |
| Fresh | 4 | 3 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 489 | 16 | 505 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 97.3% | (fma.f64 (/.f64 y t) (-.f64 z x) x) |
| ✓ | 64.7% | (fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) |
| ▶ | 61.8% | (fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (* (neg y) (- z x)) (*.f64 x y)) x) |
| ✓ | 72.7% | (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
| ✓ | 56.4% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) |
| ✓ | 27.2% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)) |
| ✓ | 35.4% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) |
| 28.1% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 t y))) | |
| ▶ | 39.4% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 z (/.f64 t y))) |
| ▶ | 35.3% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))) |
| 35.4% | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 z (pow.f64 y #s(literal -1 binary64))))) | |
| ▶ | 36.1% | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) |
| 59.7% | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) (-.f64 z x))) | |
| ▶ | 28.0% | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)))) |
| ✓ | 39.4% | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
| 26.5% | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 y (/.f64 #s(approx (- z x) (neg.f64 x)) t))) |
Compiled 414 to 296 computations (28.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | -384 | (/.f64 t (*.f64 z y)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))) | |
| cost-diff | 1088 | (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y))) | |
| cost-diff | 0 | (/.f64 t y) | |
| cost-diff | 0 | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 z (/.f64 t y))) | |
| cost-diff | 384 | (/.f64 z (/.f64 t y)) | |
| cost-diff | 0 | #s(approx (- z x) (neg.f64 x)) | |
| cost-diff | 0 | (/.f64 y t) | |
| cost-diff | 0 | (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x))) | |
| cost-diff | 0 | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)))) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (*.f64 (/.f64 z t) y) | |
| cost-diff | 0 | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (* (neg y) (- z x)) (*.f64 x y)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) t) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (* (neg y) (- z x)) (*.f64 x y)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 167 |
| 0 | 45 | 163 |
| 1 | 73 | 163 |
| 2 | 121 | 163 |
| 3 | 216 | 160 |
| 4 | 420 | 160 |
| 5 | 848 | 160 |
| 6 | 1962 | 160 |
| 7 | 2767 | 160 |
| 8 | 3783 | 160 |
| 9 | 4104 | 160 |
| 10 | 4303 | 160 |
| 11 | 4363 | 160 |
| 12 | 4415 | 160 |
| 13 | 4415 | 160 |
| 14 | 4431 | 160 |
| 15 | 4433 | 160 |
| 16 | 4433 | 160 |
| 0 | 4433 | 156 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (* (neg y) (- z x)) (*.f64 x y)) x) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
#s(approx (* (neg y) (- z x)) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) |
(*.f64 (/.f64 z t) y) |
(/.f64 z t) |
z |
t |
y |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)))) |
(*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x))) |
(/.f64 y t) |
y |
t |
#s(approx (- z x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 z (/.f64 t y))) |
(/.f64 z (/.f64 t y)) |
z |
(/.f64 t y) |
t |
y |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y))) |
#s(literal 1 binary64) |
(/.f64 t (*.f64 z y)) |
t |
(*.f64 z y) |
z |
y |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (* (neg y) (- z x)) (*.f64 x y)) x) |
(-.f64 x (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t)) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
#s(approx (* (neg y) (- z x)) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
(*.f64 (/.f64 z t) y) |
(*.f64 (/.f64 y t) z) |
(/.f64 z t) |
z |
t |
y |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)))) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t))) |
(*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x))) |
(*.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t)) |
(/.f64 y t) |
y |
t |
#s(approx (- z x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 z (/.f64 t y))) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
(/.f64 z (/.f64 t y)) |
(*.f64 (/.f64 y t) z) |
z |
(/.f64 t y) |
t |
y |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y))) |
(*.f64 (/.f64 y t) z) |
#s(literal 1 binary64) |
(/.f64 t (*.f64 z y)) |
(/.f64 (/.f64 t y) z) |
t |
(*.f64 z y) |
z |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0.5942004033454222 | (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y))) | |
| accuracy | 5.442011167055695 | (/.f64 t (*.f64 z y)) | |
| accuracy | 38.48225606690012 | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))) | |
| accuracy | 0 | (/.f64 t y) | |
| accuracy | 5.203477736620876 | (/.f64 z (/.f64 t y)) | |
| accuracy | 38.48225606690012 | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 z (/.f64 t y))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 5.725867603015288 | (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x))) | |
| accuracy | 24.040157150835398 | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)))) | |
| accuracy | 30.958142870110777 | #s(approx (- z x) (neg.f64 x)) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 5.288910228366431 | (*.f64 (/.f64 z t) y) | |
| accuracy | 38.48225606690012 | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) t) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 5.324193722977429 | (fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (* (neg y) (- z x)) (*.f64 x y)) x) | |
| accuracy | 28.738603471151894 | #s(approx (* (neg y) (- z x)) (*.f64 x y)) |
| 51.0ms | 256× | 0 | valid |
Compiled 292 to 59 computations (79.8% saved)
ival-div: 14.0ms (42.7% of total)ival-mult: 11.0ms (33.5% of total)ival-add: 3.0ms (9.1% of total)ival-neg: 3.0ms (9.1% of total)ival-sub: 1.0ms (3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (* (neg y) (- z x)) (*.f64 x y)) x) |
(/.f64 #s(literal -1 binary64) t) |
#s(approx (* (neg y) (- z x)) (*.f64 x y)) |
(*.f64 x y) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) |
(*.f64 (/.f64 z t) y) |
(/.f64 z t) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)))) |
(*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x))) |
(/.f64 y t) |
#s(approx (- z x) (neg.f64 x)) |
(/.f64 z (/.f64 t y)) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 z (/.f64 t y))) |
(/.f64 t y) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y))) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))) |
(*.f64 z y) |
(/.f64 t (*.f64 z y)) |
(neg.f64 x) |
| Outputs |
|---|
(/ (* y z) t) |
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t)) |
(* -1 (* y z)) |
(+ (* -1 (* y z)) (* x y)) |
(* x y) |
(+ (* -1 (/ (* x y) t)) (/ (* y z) t)) |
z |
(+ z (* -1 x)) |
(* -1 x) |
(* x (+ 1 (* -1 (/ y t)))) |
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x))))) |
(* x (+ y (* -1 (/ (* y z) x)))) |
(* -1 (/ (* x y) t)) |
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x)))) |
(* x (- (/ z x) 1)) |
(* -1 (* x (- (/ y t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1))) |
(* -1 (* x (+ (* -1 y) (/ (* y z) x)))) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t)))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
x |
(+ x (* y (- (/ z t) (/ x t)))) |
(* -1 (* y (- z x))) |
(/ (* y (- z x)) t) |
(/ y t) |
(/ t y) |
(* y z) |
(/ t (* y z)) |
(* y (- (/ z t) (/ x t))) |
(* y (- (+ (/ x y) (/ z t)) (/ x t))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t))))) |
(+ x (* -1 (/ (* x y) t))) |
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t))) |
(/ z t) |
(- z x) |
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t)))) |
(* z (+ (* -1 y) (/ (* x y) z))) |
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z))))) |
(* -1 (* z (+ y (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z))))) |
(* -1 (* z (- (/ x z) 1))) |
(/ (+ (* t x) (* y (- z x))) t) |
(/ -1 t) |
(+ x (/ (* y (- z x)) t)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | ((+ (* (/ -1 t) (* (neg y) (- z x))) x) (/ -1 t) (* (neg y) (- z x)) (* x y) (+ x (/ (* y (- z x)) t)) (* (/ z t) y) (/ z t) (+ x (/ (* y (- z x)) t)) (* (/ y t) (- z x)) (/ y t) (- z x) (/ z (/ t y)) (+ x (/ (* y (- z x)) t)) (/ t y) (/ 1 (/ t (* z y))) (+ x (/ (* y (- z x)) t)) (* z y) (/ t (* z y)) (neg x)) |
| 2.0ms | t | @ | -inf | ((+ (* (/ -1 t) (* (neg y) (- z x))) x) (/ -1 t) (* (neg y) (- z x)) (* x y) (+ x (/ (* y (- z x)) t)) (* (/ z t) y) (/ z t) (+ x (/ (* y (- z x)) t)) (* (/ y t) (- z x)) (/ y t) (- z x) (/ z (/ t y)) (+ x (/ (* y (- z x)) t)) (/ t y) (/ 1 (/ t (* z y))) (+ x (/ (* y (- z x)) t)) (* z y) (/ t (* z y)) (neg x)) |
| 2.0ms | z | @ | -inf | ((+ (* (/ -1 t) (* (neg y) (- z x))) x) (/ -1 t) (* (neg y) (- z x)) (* x y) (+ x (/ (* y (- z x)) t)) (* (/ z t) y) (/ z t) (+ x (/ (* y (- z x)) t)) (* (/ y t) (- z x)) (/ y t) (- z x) (/ z (/ t y)) (+ x (/ (* y (- z x)) t)) (/ t y) (/ 1 (/ t (* z y))) (+ x (/ (* y (- z x)) t)) (* z y) (/ t (* z y)) (neg x)) |
| 2.0ms | y | @ | inf | ((+ (* (/ -1 t) (* (neg y) (- z x))) x) (/ -1 t) (* (neg y) (- z x)) (* x y) (+ x (/ (* y (- z x)) t)) (* (/ z t) y) (/ z t) (+ x (/ (* y (- z x)) t)) (* (/ y t) (- z x)) (/ y t) (- z x) (/ z (/ t y)) (+ x (/ (* y (- z x)) t)) (/ t y) (/ 1 (/ t (* z y))) (+ x (/ (* y (- z x)) t)) (* z y) (/ t (* z y)) (neg x)) |
| 2.0ms | t | @ | 0 | ((+ (* (/ -1 t) (* (neg y) (- z x))) x) (/ -1 t) (* (neg y) (- z x)) (* x y) (+ x (/ (* y (- z x)) t)) (* (/ z t) y) (/ z t) (+ x (/ (* y (- z x)) t)) (* (/ y t) (- z x)) (/ y t) (- z x) (/ z (/ t y)) (+ x (/ (* y (- z x)) t)) (/ t y) (/ 1 (/ t (* z y))) (+ x (/ (* y (- z x)) t)) (* z y) (/ t (* z y)) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 282 |
| 1 | 351 | 273 |
| 2 | 1115 | 261 |
| 3 | 3395 | 261 |
| 4 | 6544 | 261 |
| 0 | 8223 | 250 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* y z) t) |
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t)) |
(* -1 (* y z)) |
(+ (* -1 (* y z)) (* x y)) |
(* x y) |
(+ (* -1 (/ (* x y) t)) (/ (* y z) t)) |
z |
(+ z (* -1 x)) |
(* -1 x) |
(* x (+ 1 (* -1 (/ y t)))) |
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x))))) |
(* x (+ y (* -1 (/ (* y z) x)))) |
(* -1 (/ (* x y) t)) |
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x)))) |
(* x (- (/ z x) 1)) |
(* -1 (* x (- (/ y t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1))) |
(* -1 (* x (+ (* -1 y) (/ (* y z) x)))) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t)))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
x |
(+ x (* y (- (/ z t) (/ x t)))) |
(* -1 (* y (- z x))) |
(/ (* y (- z x)) t) |
(/ y t) |
(/ t y) |
(* y z) |
(/ t (* y z)) |
(* y (- (/ z t) (/ x t))) |
(* y (- (+ (/ x y) (/ z t)) (/ x t))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t))))) |
(+ x (* -1 (/ (* x y) t))) |
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t))) |
(/ z t) |
(- z x) |
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t)))) |
(* z (+ (* -1 y) (/ (* x y) z))) |
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z))))) |
(* -1 (* z (+ y (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z))))) |
(* -1 (* z (- (/ x z) 1))) |
(/ (+ (* t x) (* y (- z x))) t) |
(/ -1 t) |
(+ x (/ (* y (- z x)) t)) |
| Outputs |
|---|
(/ (* y z) t) |
(/.f64 (*.f64 z y) t) |
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t)) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(+ (* -1 (* y z)) (* x y)) |
(*.f64 (-.f64 x z) y) |
(* x y) |
(*.f64 x y) |
(+ (* -1 (/ (* x y) t)) (/ (* y z) t)) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
z |
(+ z (* -1 x)) |
(-.f64 z x) |
(* -1 x) |
(neg.f64 x) |
(* x (+ 1 (* -1 (/ y t)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x) |
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x))))) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(* x (+ y (* -1 (/ (* y z) x)))) |
(*.f64 (-.f64 x z) y) |
(* -1 (/ (* x y) t)) |
(*.f64 (/.f64 (neg.f64 x) t) y) |
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x)))) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* x (- (/ z x) 1)) |
(-.f64 z x) |
(* -1 (* x (- (/ y t) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1))) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(* -1 (* x (+ (* -1 y) (/ (* y z) x)))) |
(*.f64 (-.f64 x z) y) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t)))) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(-.f64 z x) |
x |
(+ x (* y (- (/ z t) (/ x t)))) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(* -1 (* y (- z x))) |
(*.f64 (-.f64 x z) y) |
(/ (* y (- z x)) t) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(/ y t) |
(/.f64 y t) |
(/ t y) |
(/.f64 t y) |
(* y z) |
(*.f64 z y) |
(/ t (* y z)) |
(/.f64 (/.f64 t y) z) |
(* y (- (/ z t) (/ x t))) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* y (- (+ (/ x y) (/ z t)) (/ x t))) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t))))) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(+ x (* -1 (/ (* x y) t))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x) |
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t))) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(/ z t) |
(/.f64 z t) |
(- z x) |
(-.f64 z x) |
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t)))) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(* z (+ (* -1 y) (/ (* x y) z))) |
(*.f64 (-.f64 x z) y) |
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t))) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* z (+ 1 (* -1 (/ x z)))) |
(-.f64 z x) |
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z))))) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(* -1 (* z (+ y (* -1 (/ (* x y) z))))) |
(*.f64 (-.f64 x z) y) |
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z))))) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* -1 (* z (- (/ x z) 1))) |
(-.f64 z x) |
(/ (+ (* t x) (* y (- z x))) t) |
(/.f64 (fma.f64 (-.f64 z x) y (*.f64 x t)) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(+ x (/ (* y (- z x)) t)) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 150 |
| 0 | 45 | 146 |
| 1 | 146 | 146 |
| 2 | 894 | 146 |
| 0 | 8408 | 142 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (* (neg y) (- z x)) (*.f64 x y)) x) |
(/.f64 #s(literal -1 binary64) t) |
#s(approx (* (neg y) (- z x)) (*.f64 x y)) |
(*.f64 x y) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) |
(*.f64 (/.f64 z t) y) |
(/.f64 z t) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)))) |
(*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x))) |
(/.f64 y t) |
#s(approx (- z x) (neg.f64 x)) |
(/.f64 z (/.f64 t y)) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 z (/.f64 t y))) |
(/.f64 t y) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y))) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))) |
(*.f64 z y) |
(/.f64 t (*.f64 z y)) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t)) (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 x (+.f64 x (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t)) (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (/.f64 #s(literal -1 binary64) t) x) (pow.f64 (fma.f64 x (+.f64 x (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t)) (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (+.f64 x (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t)) (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (/.f64 #s(literal -1 binary64) t) x)) |
(*.f64 (fma.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (/.f64 #s(literal -1 binary64) t) x) (*.f64 (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x) (pow.f64 (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (/.f64 #s(literal -1 binary64) t) x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x) #s(literal -1 binary64))) (fma.f64 (pow.f64 t #s(literal -2 binary64)) (pow.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x) #s(literal -1 binary64))) (+.f64 (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (/.f64 (neg.f64 x) t)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 x (+.f64 x (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t)) (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 x (+.f64 x (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t)) (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (/.f64 (neg.f64 x) t)) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x (+.f64 x (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t)) (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x)) (/.f64 (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x)))) (+.f64 (/.f64 (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x)) (/.f64 (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x)) (*.f64 (/.f64 (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t)) (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x)) (*.f64 (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x) (*.f64 x x))) (*.f64 (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x) (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64))) (+.f64 x (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 x (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t)) (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t)) (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x))) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (/.f64 #s(literal -1 binary64) t) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (/.f64 #s(literal -1 binary64) t) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (/.f64 #s(literal -1 binary64) t) x)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64)) (*.f64 x x))) (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t)) (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64)) (*.f64 x x)) (neg.f64 (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x)))) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x (+.f64 x (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t)) (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 (neg.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y))) #s(literal 1 binary64)) (pow.f64 t #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) #s(literal -1 binary64)) (pow.f64 t #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t) #s(literal -1 binary64) x) |
(fma.f64 (neg.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y))) (pow.f64 t #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y))) x) |
(fma.f64 (pow.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t)) x) |
(fma.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 x #s(literal 1 binary64) (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) (neg.f64 t))) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (* (neg y) (- z x)) (*.f64 x y)) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(approx (* (neg y) (- z x)) (*.f64 x y)) t) x) |
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(/.f64 (/.f64 z (pow.f64 y #s(literal -1 binary64))) t) |
(/.f64 (/.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 z y) #s(literal -1 binary64))) |
(/.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (*.f64 (/.f64 (neg.f64 y) t) z) #s(literal -1 binary64)) |
(/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (*.f64 z y) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 z) y) (neg.f64 t)) |
(/.f64 (neg.f64 z) (/.f64 (neg.f64 t) y)) |
(/.f64 (*.f64 z y) t) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z)) |
(/.f64 (/.f64 y t) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 z t) y) #s(literal 1 binary64)) |
(/.f64 (/.f64 z t) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 z (/.f64 t y)) |
(/.f64 (neg.f64 y) (/.f64 (neg.f64 t) z)) |
(/.f64 y (/.f64 t z)) |
(/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (/.f64 #s(literal -1 binary64) y) z)) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 t) z) y)) |
(neg.f64 (*.f64 (/.f64 (neg.f64 y) t) z)) |
(fma.f64 (/.f64 (neg.f64 z) t) #s(literal 0 binary64) (*.f64 (/.f64 z t) y)) |
(fma.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) t) (*.f64 (neg.f64 y) (/.f64 (neg.f64 z) t))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 t) y)) (*.f64 (/.f64 (neg.f64 y) t) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) t) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 t y) z)) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) t)) (*.f64 (neg.f64 y) (/.f64 (neg.f64 z) t))) |
(+.f64 (*.f64 (/.f64 (neg.f64 z) t) #s(literal 0 binary64)) (*.f64 (/.f64 z t) y)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 z) (neg.f64 y)) |
(*.f64 (*.f64 z y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 z y)) |
(*.f64 z y) |
(*.f64 (neg.f64 y) (neg.f64 z)) |
(*.f64 y z) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) y)) |
(pow.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 z y) #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 z) y) #s(literal -1 binary64)) |
(/.f64 (*.f64 z y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (neg.f64 z) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) y)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 t)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) t) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 t y)) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 t)) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 t)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 t y)) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) t) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 z t) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 z t) y) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 z) t) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 t y) z) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (/.f64 t y) z) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 z y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (neg.f64 t) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 t) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 t) z)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 t y)) |
(*.f64 (/.f64 (neg.f64 t) z) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) t) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 t z)) |
(*.f64 (/.f64 t z) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 t z) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 t) y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (/.f64 (neg.f64 t) z) y) #s(literal -1 binary64)) |
(*.f64 (neg.f64 t) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) z) #s(literal 1 binary64))) |
(*.f64 (neg.f64 t) (*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) y) z)) |
(*.f64 (/.f64 (/.f64 t y) z) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z)) |
(*.f64 (/.f64 t y) (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 t y) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 t (pow.f64 (*.f64 z y) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 t) z) y)) |
(pow.f64 (/.f64 (/.f64 t y) z) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (/.f64 z t) y) #s(literal -1 binary64)) |
(/.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 y t)) |
(/.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) t)) (neg.f64 y)) |
(/.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 z t)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 t y) z) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (/.f64 t y) z) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (/.f64 (neg.f64 t) z) #s(literal 1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (/.f64 (neg.f64 y) t)) |
(/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) t)) |
(/.f64 (*.f64 (/.f64 t z) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) z)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (neg.f64 t) y) #s(literal 1 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 z t)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 t)) y) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) t) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y t)) |
(/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 t)) (neg.f64 y)) |
(/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 y t)) |
(/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) t) y) |
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))) (/.f64 (neg.f64 y) t)) |
(/.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) t)) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 y) t)) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) z) (/.f64 #s(literal -1 binary64) t)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 z) t)) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y t)) |
(/.f64 (/.f64 (neg.f64 t) z) (neg.f64 y)) |
(/.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (pow.f64 t #s(literal -1 binary64))) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 z t)) |
(/.f64 (/.f64 t z) y) |
(/.f64 (/.f64 (neg.f64 t) y) (neg.f64 z)) |
(/.f64 (/.f64 (/.f64 (neg.f64 t) z) y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 t) (*.f64 (neg.f64 z) y)) |
(/.f64 (/.f64 (/.f64 t y) z) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z t) y)) |
(/.f64 (/.f64 t y) z) |
(/.f64 t (*.f64 z y)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) t) z)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 t) z) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) y)) (/.f64 (/.f64 (neg.f64 t) z) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (/.f64 (neg.f64 t) z) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 t) z) y)) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 t y) z)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 t y) z)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z t) y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) x) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 0 binary64) (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 x) x) x) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 x x) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
Compiled 10 809 to 1 441 computations (86.7% saved)
16 alts after pruning (4 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 458 | 2 | 460 |
| Fresh | 2 | 2 | 4 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 7 | 7 |
| Total | 460 | 16 | 476 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 97.3% | (fma.f64 (/.f64 y t) (-.f64 z x) x) |
| ✓ | 64.7% | (fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) |
| ✓ | 61.8% | (fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (* (neg y) (- z x)) (*.f64 x y)) x) |
| ✓ | 72.7% | (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
| 35.3% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (/.f64 z (/.f64 #s(literal -1 binary64) y)) (neg.f64 t))) | |
| ✓ | 56.4% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) |
| ✓ | 27.2% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)) |
| ✓ | 35.4% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) |
| 28.1% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 t y))) | |
| ✓ | 39.4% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 z (/.f64 t y))) |
| ✓ | 35.3% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))) |
| 26.5% | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y)) | |
| ✓ | 36.1% | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) |
| 59.7% | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) (-.f64 z x))) | |
| ✓ | 28.0% | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)))) |
| ✓ | 39.4% | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
Compiled 709 to 284 computations (59.9% saved)
| Inputs |
|---|
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) |
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (/.f64 (neg.f64 x) t) y))) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 y (/.f64 #s(approx (- z x) (neg.f64 x)) t))) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)))) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y)) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) (-.f64 z x))) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) |
(+.f64 x (/.f64 #s(approx (* y (- z x)) (*.f64 z y)) t)) |
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 z (/.f64 t y))) |
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (* (neg y) (- z x)) (*.f64 x y)) x) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 t y))) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (-.f64 z x) (/.f64 t y))) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 y) (-.f64 z x)) x) |
(+.f64 x (/.f64 y (/.f64 t (-.f64 z x)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (-.f64 z x) y)))) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (/.f64 z (/.f64 #s(literal -1 binary64) y)) (neg.f64 t))) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 z (pow.f64 y #s(literal -1 binary64))))) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 (-.f64 z x) (pow.f64 y #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -1/2 binary64)) x) |
| Outputs |
|---|
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
5 calls:
| 10.0ms | t |
| 10.0ms | y |
| 9.0ms | z |
| 9.0ms | x |
| 9.0ms | (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 1 | x |
| 97.3% | 1 | y |
| 97.3% | 1 | z |
| 97.3% | 1 | t |
| 97.3% | 1 | (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
Compiled 13 to 24 computations (-84.6% saved)
| Inputs |
|---|
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) |
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (/.f64 (neg.f64 x) t) y))) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 y (/.f64 #s(approx (- z x) (neg.f64 x)) t))) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)))) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y)) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) (-.f64 z x))) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) |
(+.f64 x (/.f64 #s(approx (* y (- z x)) (*.f64 z y)) t)) |
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) |
| Outputs |
|---|
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) |
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
5 calls:
| 5.0ms | t |
| 5.0ms | y |
| 5.0ms | z |
| 5.0ms | x |
| 5.0ms | (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.7% | 4 | x |
| 85.9% | 3 | y |
| 86.3% | 4 | z |
| 86.7% | 3 | t |
| 83.8% | 4 | (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
Compiled 13 to 24 computations (-84.6% saved)
| Inputs |
|---|
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) |
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (/.f64 (neg.f64 x) t) y))) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 y (/.f64 #s(approx (- z x) (neg.f64 x)) t))) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)))) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y)) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) (-.f64 z x))) |
| Outputs |
|---|
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) (-.f64 z x))) |
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
1 calls:
| 5.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.9% | 3 | t |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) |
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (/.f64 (neg.f64 x) t) y))) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 y (/.f64 #s(approx (- z x) (neg.f64 x)) t))) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)))) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y)) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x)) |
| Outputs |
|---|
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x)) |
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
3 calls:
| 4.0ms | z |
| 4.0ms | y |
| 4.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.2% | 3 | z |
| 75.4% | 2 | y |
| 78.0% | 3 | t |
Compiled 3 to 12 computations (-300% saved)
| Inputs |
|---|
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) |
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (/.f64 (neg.f64 x) t) y))) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 y (/.f64 #s(approx (- z x) (neg.f64 x)) t))) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)))) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y)) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)) |
| Outputs |
|---|
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)))) |
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
4 calls:
| 4.0ms | t |
| 4.0ms | z |
| 4.0ms | x |
| 4.0ms | (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.0% | 3 | t |
| 72.7% | 1 | (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
| 72.7% | 1 | x |
| 72.7% | 1 | z |
Compiled 12 to 20 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) |
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (/.f64 (neg.f64 x) t) y))) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 y (/.f64 #s(approx (- z x) (neg.f64 x)) t))) |
| Outputs |
|---|
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
3 calls:
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.7% | 1 | z |
| 72.7% | 1 | y |
| 72.7% | 1 | t |
Compiled 3 to 12 computations (-300% saved)
Total -5.7b remaining (-14.6%)
Threshold costs -5.7b (-14.6%)
| Inputs |
|---|
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) |
| Outputs |
|---|
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
5 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | t |
| 2.0ms | (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.4% | 1 | x |
| 39.4% | 1 | y |
| 39.4% | 1 | (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
| 39.4% | 1 | z |
| 39.4% | 1 | t |
Compiled 13 to 24 computations (-84.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 2.0601342939801453e-101 | 7.867079401286514e-101 |
| 11.0ms | -13481.079715611553 | -115.49897387623697 |
| 11.0ms | 192× | 0 | valid |
Compiled 360 to 291 computations (19.2% saved)
ival-sub: 1.0ms (18.9% of total)ival-div: 1.0ms (18.9% of total)ival-add: 1.0ms (18.9% of total)ival-mult: 1.0ms (18.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.0601342939801453e-101 | 7.867079401286514e-101 |
| 8.0ms | -13481.079715611553 | -115.49897387623697 |
| 4.0ms | 80× | 0 | valid |
Compiled 360 to 291 computations (19.2% saved)
ival-div: 1.0ms (45.8% of total)ival-mult: 1.0ms (45.8% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.6126870241373807e+41 | 5.68139364996495e+45 |
| 15.0ms | -1.4511130325956996e-28 | -2.24070728113934e-40 |
| 16.0ms | 288× | 0 | valid |
Compiled 534 to 447 computations (16.3% saved)
ival-sub: 2.0ms (25.3% of total)ival-div: 2.0ms (25.3% of total)ival-mult: 2.0ms (25.3% of total)ival-add: 1.0ms (12.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 1.2427803959089753e-188 | 9.664755233262228e-187 |
| 12.0ms | -1.0615490451059141e-255 | -1.6949641786719328e-258 |
| 14.0ms | 240× | 0 | valid |
Compiled 492 to 375 computations (23.8% saved)
ival-sub: 2.0ms (29.6% of total)ival-div: 2.0ms (29.6% of total)ival-mult: 2.0ms (29.6% of total)ival-add: 1.0ms (14.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 234 |
| 1 | 66 | 234 |
| 2 | 76 | 234 |
| 3 | 83 | 234 |
| 4 | 88 | 234 |
| 5 | 90 | 234 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(if (<=.f64 t #s(literal -450 binary64)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) (if (<=.f64 t #s(literal 5989104941851961/78804012392788958424558080200287227610159478540930893335896586808491443542994421222828532509769831281613255980613632 binary64)) #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x))) |
(if (<=.f64 t #s(literal -120 binary64)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) (if (<=.f64 t #s(literal 5989104941851961/78804012392788958424558080200287227610159478540930893335896586808491443542994421222828532509769831281613255980613632 binary64)) #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) (-.f64 z x))) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x))) |
(if (<=.f64 z #s(literal -6576757367989063/182687704666362864775460604089535377456991567872 binary64)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) (if (<=.f64 z #s(literal 200000000000000001240017290081556638990336 binary64)) #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x))) |
(if (<=.f64 t #s(literal -4111399359110201/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256 binary64)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) (if (<=.f64 t #s(literal 4075870914466909/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568 binary64)) #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)))) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x))) |
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
| Outputs |
|---|
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(if (<=.f64 t #s(literal -450 binary64)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) (if (<=.f64 t #s(literal 5989104941851961/78804012392788958424558080200287227610159478540930893335896586808491443542994421222828532509769831281613255980613632 binary64)) #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x))) |
(if (<=.f64 t #s(literal -120 binary64)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) (if (<=.f64 t #s(literal 5989104941851961/78804012392788958424558080200287227610159478540930893335896586808491443542994421222828532509769831281613255980613632 binary64)) #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) (-.f64 z x))) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x))) |
(if (<=.f64 t #s(literal -120 binary64)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) (if (<=.f64 t #s(literal 5989104941851961/78804012392788958424558080200287227610159478540930893335896586808491443542994421222828532509769831281613255980613632 binary64)) #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (-.f64 z x) (/.f64 y t))) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x))) |
(if (<=.f64 z #s(literal -6576757367989063/182687704666362864775460604089535377456991567872 binary64)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) (if (<=.f64 z #s(literal 200000000000000001240017290081556638990336 binary64)) #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x))) |
(if (<=.f64 t #s(literal -4111399359110201/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256 binary64)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) (if (<=.f64 t #s(literal 4075870914466909/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568 binary64)) #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)))) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x))) |
(if (<=.f64 t #s(literal -4111399359110201/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256 binary64)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) (if (<=.f64 t #s(literal 4075870914466909/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568 binary64)) #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t))) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x))) |
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 z (/.f64 y t))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 100 |
| 0 | 36 | 97 |
| 1 | 148 | 97 |
| 2 | 921 | 97 |
| 0 | 8422 | 97 |
| 0 | 246 | 788 |
| 1 | 770 | 732 |
| 2 | 2382 | 683 |
| 3 | 7272 | 683 |
| 0 | 8098 | 653 |
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 49 | 24 |
| 2 | 407 | 24 |
| 3 | 7013 | 24 |
| 0 | 8170 | 23 |
| 0 | 27 | 129 |
| 0 | 43 | 129 |
| 1 | 157 | 127 |
| 2 | 1220 | 127 |
| 0 | 8560 | 124 |
| 0 | 105 | 347 |
| 1 | 343 | 309 |
| 2 | 1093 | 241 |
| 3 | 3341 | 241 |
| 4 | 6469 | 241 |
| 0 | 8274 | 230 |
| 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 451 to 217 computations (51.9% saved)
Compiled 514 to 140 computations (72.8% saved)
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