
Time bar (total: 5.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 100% | 99.8% | 0% | 0.2% | 0% | 0% | 0% | 1 |
Compiled 15 to 15 computations (0% saved)
| 948.0ms | 8 256× | 0 | valid |
ival-div: 284.0ms (44.9% of total)ival-mult: 221.0ms (34.9% of total)ival-sub: 60.0ms (9.5% of total)ival-add: 43.0ms (6.8% of total)exact: 13.0ms (2.1% of total)ival-true: 6.0ms (0.9% of total)adjust: 3.0ms (0.5% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 8 binary64) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 y z) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 44.0ms | 512× | 0 | valid |
Compiled 111 to 43 computations (61.3% saved)
ival-mult: 7.0ms (35.8% of total)ival-div: 6.0ms (30.7% of total)ival-sub: 2.0ms (10.2% of total)ival-add: 2.0ms (10.2% of total)exact: 1.0ms (5.1% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 166 |
| 1 | 129 | 159 |
| 2 | 192 | 158 |
| 3 | 415 | 158 |
| 4 | 800 | 158 |
| 5 | 1035 | 158 |
| 6 | 1152 | 158 |
| 7 | 1191 | 158 |
| 8 | 1195 | 158 |
| 0 | 13 | 11 |
| 0 | 20 | 11 |
| 1 | 30 | 11 |
| 2 | 38 | 11 |
| 3 | 66 | 11 |
| 4 | 125 | 11 |
| 5 | 209 | 11 |
| 6 | 218 | 11 |
| 0 | 218 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| Outputs |
|---|
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
(fma.f64 (/.f64 y #s(literal -2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(sort y z)
Compiled 13 to 13 computations (0% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
Compiled 13 to 13 computations (0% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) | |
| cost-diff | 1 | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) | |
| cost-diff | 1 | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 39 |
| 0 | 20 | 39 |
| 1 | 30 | 39 |
| 2 | 38 | 39 |
| 3 | 66 | 39 |
| 4 | 125 | 39 |
| 5 | 209 | 39 |
| 6 | 218 | 39 |
| 0 | 218 | 36 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) |
#s(literal 1 binary64) |
#s(literal 8 binary64) |
x |
(/.f64 (*.f64 y z) #s(literal 2 binary64)) |
(*.f64 y z) |
y |
z |
#s(literal 2 binary64) |
t |
| Outputs |
|---|
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
(fma.f64 (/.f64 y #s(literal -2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t)) |
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
(fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 x #s(literal 1/8 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
(*.f64 x #s(literal 1/8 binary64)) |
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
#s(literal 8 binary64) |
x |
(/.f64 (*.f64 y z) #s(literal 2 binary64)) |
(/.f64 (*.f64 z y) #s(literal 2 binary64)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
#s(literal 2 binary64) |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) | |
| accuracy | 0.0 | (*.f64 y z) | |
| accuracy | 0.00390625 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) | |
| accuracy | 0.00390625 | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 53.0ms | 256× | 0 | valid |
Compiled 49 to 15 computations (69.4% saved)
ival-div: 36.0ms (82.8% of total)ival-sub: 3.0ms (6.9% of total)ival-mult: 3.0ms (6.9% of total)ival-add: 1.0ms (2.3% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) |
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
(/.f64 (*.f64 y z) #s(literal 2 binary64)) |
(*.f64 y z) |
| Outputs |
|---|
(- t (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(* -1/2 (* y z)) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(* 1/8 x) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(+ t (* 1/8 x)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(* 1/2 (* y z)) |
(* y z) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(* y (- (* 1/8 (/ x y)) (* 1/2 z))) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z)))) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(* z (- (* 1/8 (/ x z)) (* 1/2 y))) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y)))) |
t |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | t | @ | inf | ((/ 1 8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* (/ 1 8) x) (/ (* y z) 2) (* y z)) |
| 1.0ms | y | @ | -inf | ((/ 1 8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* (/ 1 8) x) (/ (* y z) 2) (* y z)) |
| 1.0ms | x | @ | -inf | ((/ 1 8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* (/ 1 8) x) (/ (* y z) 2) (* y z)) |
| 1.0ms | x | @ | inf | ((/ 1 8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* (/ 1 8) x) (/ (* y z) 2) (* y z)) |
| 1.0ms | z | @ | -inf | ((/ 1 8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* (/ 1 8) x) (/ (* y z) 2) (* y z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 246 |
| 1 | 228 | 246 |
| 2 | 648 | 245 |
| 3 | 2246 | 244 |
| 4 | 5808 | 244 |
| 0 | 8059 | 218 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- t (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(* -1/2 (* y z)) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(* 1/8 x) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(+ t (* 1/8 x)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(* 1/2 (* y z)) |
(* y z) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(* y (- (* 1/8 (/ x y)) (* 1/2 z))) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z)))) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(* z (- (* 1/8 (/ x z)) (* 1/2 y))) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y)))) |
t |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
| Outputs |
|---|
(- t (* 1/2 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1/2 (* y z)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t) #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) x)) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 t)) x) #s(literal 1/8 binary64))) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (*.f64 (/.f64 z x) #s(literal 1/2 binary64)) y) #s(literal 1/8 binary64))) |
(+ t (* 1/8 x)) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) |
(* 1/2 (* y z)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) z) |
(* y z) |
(*.f64 z y) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal 1/8 binary64) x t) y)) y) |
(* y (- (* 1/8 (/ x y)) (* 1/2 z))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) z)) y) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal 1/8 binary64) x t) y)) y) |
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z)))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) z)) y) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (fma.f64 #s(literal 1/8 binary64) x t) z)) z) |
(* z (- (* 1/8 (/ x z)) (* 1/2 y))) |
(*.f64 (fma.f64 (/.f64 x z) #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) y)) z) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (fma.f64 #s(literal 1/8 binary64) x t) z)) z) |
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y)))) |
(*.f64 (fma.f64 (/.f64 x z) #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) y)) z) |
t |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) t) t t) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(*.f64 (neg.f64 t) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x)) t) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 32 |
| 0 | 20 | 32 |
| 1 | 60 | 32 |
| 2 | 397 | 32 |
| 3 | 5679 | 32 |
| 0 | 8198 | 29 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) |
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
(/.f64 (*.f64 y z) #s(literal 2 binary64)) |
(*.f64 y z) |
| Outputs |
|---|
#s(literal 1/8 binary64) |
(*.f64 (/.f64 (fma.f64 (neg.f64 t) t (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 t (fma.f64 x #s(literal 1/8 binary64) (fma.f64 z (/.f64 y #s(literal -2 binary64)) t)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 t (+.f64 t (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 t (+.f64 t (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 t (+.f64 t (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 6 binary64)))) (fma.f64 (*.f64 t (+.f64 t (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))))) (-.f64 (*.f64 t (+.f64 t (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))))) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 t) t (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (neg.f64 t) t (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/8 binary64) (fma.f64 z (/.f64 y #s(literal -2 binary64)) t))) |
(*.f64 (fma.f64 t (+.f64 t (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (fma.f64 x #s(literal 1/8 binary64) (fma.f64 z (/.f64 y #s(literal -2 binary64)) t)) (fma.f64 t (+.f64 t (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 x #s(literal 1/8 binary64) (fma.f64 z (/.f64 y #s(literal -2 binary64)) t)) (/.f64 (fma.f64 x #s(literal 1/8 binary64) (-.f64 (/.f64 (*.f64 z y) #s(literal -2 binary64)) t)) (fma.f64 x #s(literal 1/8 binary64) (-.f64 (/.f64 (*.f64 z y) #s(literal -2 binary64)) t)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) t) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (fma.f64 x #s(literal 1/8 binary64) t) (/.f64 (*.f64 z y) #s(literal 2 binary64)))) |
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(fma.f64 x (/.f64 (*.f64 #s(literal 1/64 binary64) x) (fma.f64 x #s(literal 1/8 binary64) (/.f64 (*.f64 z y) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 x #s(literal 1/8 binary64) (/.f64 (*.f64 z y) #s(literal 2 binary64))))) |
(fma.f64 x #s(literal 1/8 binary64) (/.f64 (*.f64 z y) #s(literal -2 binary64))) |
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (fma.f64 x #s(literal 1/8 binary64) (/.f64 (*.f64 z y) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 x #s(literal 1/8 binary64) (/.f64 (*.f64 z y) #s(literal 2 binary64))))) |
(fma.f64 #s(literal 1/8 binary64) x (/.f64 (*.f64 z y) #s(literal -2 binary64))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) x) (/.f64 x (fma.f64 x #s(literal 1/8 binary64) (/.f64 (*.f64 z y) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 1/8 binary64) (/.f64 (*.f64 z y) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 (/.f64 z #s(literal 2 binary64)) (*.f64 y (fma.f64 x #s(literal 1/8 binary64) (/.f64 (*.f64 z y) #s(literal 2 binary64))))))) (/.f64 (pow.f64 (/.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 (/.f64 z #s(literal 2 binary64)) (*.f64 y (fma.f64 x #s(literal 1/8 binary64) (/.f64 (*.f64 z y) #s(literal 2 binary64)))))))) |
(-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (neg.f64 (neg.f64 y)) (/.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/8 binary64)) (/.f64 (*.f64 z y) #s(literal 2 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) x) (/.f64 x (fma.f64 x #s(literal 1/8 binary64) (/.f64 (*.f64 z y) #s(literal 2 binary64))))) (/.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 x #s(literal 1/8 binary64) (/.f64 (*.f64 z y) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (*.f64 z y) #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) |
(+.f64 (*.f64 x #s(literal 1/8 binary64)) (/.f64 (*.f64 z y) #s(literal -2 binary64))) |
(*.f64 x #s(literal 1/8 binary64)) |
(*.f64 #s(literal 1/8 binary64) x) |
(*.f64 (/.f64 y #s(literal 2 binary64)) z) |
(*.f64 (neg.f64 y) (/.f64 z #s(literal -2 binary64))) |
(*.f64 (neg.f64 z) (/.f64 y #s(literal -2 binary64))) |
(*.f64 (/.f64 z #s(literal 2 binary64)) y) |
(*.f64 z (/.f64 y #s(literal 2 binary64))) |
(*.f64 y (/.f64 z #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 y) z) #s(literal -2 binary64)) |
(/.f64 (*.f64 z y) #s(literal 2 binary64)) |
(neg.f64 (/.f64 (*.f64 z y) #s(literal -2 binary64))) |
(*.f64 (neg.f64 (neg.f64 y)) z) |
(*.f64 (neg.f64 (neg.f64 z)) y) |
(*.f64 (neg.f64 y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (neg.f64 y)) |
(*.f64 z (neg.f64 (neg.f64 y))) |
(*.f64 z y) |
(*.f64 y (neg.f64 (neg.f64 z))) |
(*.f64 y z) |
(neg.f64 (*.f64 (neg.f64 y) z)) |
Compiled 6 328 to 619 computations (90.2% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 160 | 4 | 164 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 161 | 4 | 165 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 (fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) t) |
| ▶ | 68.8% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
| ▶ | 100.0% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))) |
| ▶ | 66.0% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
Compiled 71 to 62 computations (12.7% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x #s(literal 1/8 binary64)) | |
| cost-diff | 0 | (/.f64 y #s(literal -2 binary64)) | |
| cost-diff | 0 | (fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) | |
| cost-diff | 1 | (+.f64 (fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) t) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/8 binary64) x t) | |
| cost-diff | 0 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/8 binary64) x t) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)) | |
| cost-diff | 0 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t) | |
| cost-diff | 0 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 127 |
| 0 | 37 | 127 |
| 1 | 67 | 124 |
| 2 | 129 | 124 |
| 3 | 258 | 124 |
| 4 | 417 | 124 |
| 5 | 471 | 124 |
| 0 | 471 | 120 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t) |
#s(literal -1/2 binary64) |
(*.f64 z y) |
z |
y |
t |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)) |
#s(literal -1/2 binary64) |
(*.f64 z y) |
z |
y |
(fma.f64 #s(literal 1/8 binary64) x t) |
#s(literal 1/8 binary64) |
x |
t |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
(fma.f64 #s(literal 1/8 binary64) x t) |
#s(literal 1/8 binary64) |
x |
t |
(+.f64 (fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) t) |
(fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) |
z |
(/.f64 y #s(literal -2 binary64)) |
y |
#s(literal -2 binary64) |
(*.f64 x #s(literal 1/8 binary64)) |
x |
#s(literal 1/8 binary64) |
t |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) t)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
(*.f64 z y) |
z |
y |
t |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t)) |
#s(literal -1/2 binary64) |
(*.f64 z y) |
z |
y |
(fma.f64 #s(literal 1/8 binary64) x t) |
(fma.f64 x #s(literal 1/8 binary64) t) |
#s(literal 1/8 binary64) |
x |
t |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(fma.f64 x #s(literal 1/8 binary64) t) |
#s(literal 1/8 binary64) |
x |
t |
(+.f64 (fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) t) |
(fma.f64 (/.f64 z #s(literal -2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 x #s(literal 1/8 binary64))) |
z |
(/.f64 y #s(literal -2 binary64)) |
y |
#s(literal -2 binary64) |
(*.f64 x #s(literal 1/8 binary64)) |
x |
#s(literal 1/8 binary64) |
t |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) | |
| accuracy | 0.0 | (/.f64 y #s(literal -2 binary64)) | |
| accuracy | 0.0 | (+.f64 (fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) t) | |
| accuracy | 0.0 | (*.f64 x #s(literal 1/8 binary64)) | |
| accuracy | 0.0 | (fma.f64 #s(literal 1/8 binary64) x t) | |
| accuracy | 19.952158032552976 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) | |
| accuracy | 0.0 | (fma.f64 #s(literal 1/8 binary64) x t) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 0.0 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t) | |
| accuracy | 21.77251629632907 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
| 86.0ms | 256× | 0 | valid |
Compiled 120 to 29 computations (75.8% saved)
ival-div: 49.0ms (72.2% of total)ival-mult: 11.0ms (16.2% of total)ival-add: 6.0ms (8.8% of total)ival-sub: 1.0ms (1.5% of total)exact: 1.0ms (1.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t) |
(*.f64 z y) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)) |
(fma.f64 #s(literal 1/8 binary64) x t) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
(+.f64 (fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) t) |
(fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) |
(/.f64 y #s(literal -2 binary64)) |
(*.f64 x #s(literal 1/8 binary64)) |
| Outputs |
|---|
(- t (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(+ t (* -1/2 (* y z))) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
t |
(+ t (* 1/8 x)) |
(* -1/2 (* y z)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(* 1/8 x) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x)))) |
(* x (+ 1/8 (/ t x))) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8))) |
(* -1 (* x (- (* -1 (/ t x)) 1/8))) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(* y z) |
(* -1/2 y) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(* y (+ (* -1/2 z) (/ t y))) |
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y)))) |
(* y (+ (* -1/2 z) (* 1/8 (/ x y)))) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z)))) |
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z)))) |
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z)))) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(* z (+ (* -1/2 y) (/ t z))) |
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z)))) |
(* z (+ (* -1/2 y) (* 1/8 (/ x z)))) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y)))) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(* t (+ 1 (* -1/2 (/ (* y z) t)))) |
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t))))) |
(* t (+ 1 (* 1/8 (/ x t)))) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1))) |
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1))) |
(* -1 (* t (- (* -1/8 (/ x t)) 1))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | inf | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) t) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (+ (* 1/8 x) t)) (+ (* 1/8 x) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (+ (* z (/ y -2)) (* x 1/8)) t) (+ (* z (/ y -2)) (* x 1/8)) (/ y -2) (* x 1/8)) |
| 1.0ms | y | @ | -inf | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) t) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (+ (* 1/8 x) t)) (+ (* 1/8 x) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (+ (* z (/ y -2)) (* x 1/8)) t) (+ (* z (/ y -2)) (* x 1/8)) (/ y -2) (* x 1/8)) |
| 1.0ms | y | @ | inf | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) t) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (+ (* 1/8 x) t)) (+ (* 1/8 x) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (+ (* z (/ y -2)) (* x 1/8)) t) (+ (* z (/ y -2)) (* x 1/8)) (/ y -2) (* x 1/8)) |
| 1.0ms | x | @ | inf | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) t) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (+ (* 1/8 x) t)) (+ (* 1/8 x) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (+ (* z (/ y -2)) (* x 1/8)) t) (+ (* z (/ y -2)) (* x 1/8)) (/ y -2) (* x 1/8)) |
| 1.0ms | x | @ | -inf | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) t) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (+ (* 1/8 x) t)) (+ (* 1/8 x) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (+ (* z (/ y -2)) (* x 1/8)) t) (+ (* z (/ y -2)) (* x 1/8)) (/ y -2) (* x 1/8)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 403 |
| 1 | 454 | 403 |
| 2 | 1388 | 399 |
| 3 | 3948 | 399 |
| 0 | 8175 | 352 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- t (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(+ t (* -1/2 (* y z))) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
t |
(+ t (* 1/8 x)) |
(* -1/2 (* y z)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(* 1/8 x) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x)))) |
(* x (+ 1/8 (/ t x))) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8))) |
(* -1 (* x (- (* -1 (/ t x)) 1/8))) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(* y z) |
(* -1/2 y) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(* y (+ (* -1/2 z) (/ t y))) |
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y)))) |
(* y (+ (* -1/2 z) (* 1/8 (/ x y)))) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z)))) |
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z)))) |
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z)))) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(* z (+ (* -1/2 y) (/ t z))) |
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z)))) |
(* z (+ (* -1/2 y) (* 1/8 (/ x z)))) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y)))) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(* t (+ 1 (* -1/2 (/ (* y z) t)))) |
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t))))) |
(* t (+ 1 (* 1/8 (/ x t)))) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1))) |
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1))) |
(* -1 (* t (- (* -1/8 (/ x t)) 1))) |
| Outputs |
|---|
(- t (* 1/2 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
(+ t (* -1/2 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
t |
(+ t (* 1/8 x)) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x)))) |
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
(* x (+ 1/8 (/ t x))) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) t) x) #s(literal 1/8 binary64))) |
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) t) x) #s(literal 1/8 binary64))) |
(* -1 (* x (- (* -1 (/ t x)) 1/8))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 t) x) #s(literal 1/8 binary64))) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (*.f64 z y) x) #s(literal 1/2 binary64)) #s(literal 1/8 binary64))) |
(* y z) |
(*.f64 z y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
(* y (+ (* -1/2 z) (/ t y))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t) |
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y)))) |
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
(* y (+ (* -1/2 z) (* 1/8 (/ x y)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t) |
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z)))) |
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
(* z (+ (* -1/2 y) (/ t z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t) |
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z)))) |
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
(* z (+ (* -1/2 y) (* 1/8 (/ x z)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t) |
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y)))) |
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
(* t (+ 1 (* -1/2 (/ (* y z) t)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t) |
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t))))) |
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
(* t (+ 1 (* 1/8 (/ x t)))) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(*.f64 (neg.f64 t) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x)) t) #s(literal 1 binary64))) |
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1))) |
(*.f64 (neg.f64 t) (-.f64 (*.f64 (/.f64 (*.f64 z y) t) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1))) |
(*.f64 (neg.f64 t) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x)) t) #s(literal 1 binary64))) |
(* -1 (* t (- (* -1/8 (/ x t)) 1))) |
(*.f64 (neg.f64 t) (-.f64 (*.f64 (/.f64 x t) #s(literal -1/8 binary64)) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 101 |
| 0 | 37 | 101 |
| 1 | 155 | 98 |
| 2 | 1175 | 98 |
| 0 | 8507 | 97 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t) |
(*.f64 z y) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)) |
(fma.f64 #s(literal 1/8 binary64) x t) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
(+.f64 (fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) t) |
(fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) |
(/.f64 y #s(literal -2 binary64)) |
(*.f64 x #s(literal 1/8 binary64)) |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) t)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) t)) (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) t))) (*.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) t)) (/.f64 (*.f64 t t) (-.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) t)))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) t)) (/.f64 (*.f64 t t) (-.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) t)))) |
(/.f64 (-.f64 (*.f64 t t) (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) z)) y) (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) z)) y))) (+.f64 t (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) z)) y))) |
(/.f64 (-.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 (neg.f64 z) y) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 z) y) #s(literal -1/2 binary64)))) (+.f64 t (*.f64 (*.f64 (neg.f64 z) y) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 t t) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) (+.f64 t (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 t (-.f64 t (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 t (-.f64 t (*.f64 (*.f64 z y) #s(literal -1/2 binary64))))))) (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 t (-.f64 t (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 t (-.f64 t (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))))))) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 t (-.f64 t (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 t (-.f64 t (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) t)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) t)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) t)) (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) t)) (fma.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) t)) (/.f64 (*.f64 t t) (-.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) t)) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) t)) (/.f64 (*.f64 t t) (-.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) t)))))) |
(/.f64 (-.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) z)) y) #s(literal 3 binary64))) (fma.f64 t t (fma.f64 (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) z)) y) (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) z)) y) (*.f64 t (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) z)) y))))) |
(/.f64 (-.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) y) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 t t (fma.f64 (*.f64 (*.f64 (neg.f64 z) y) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 z) y) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 (neg.f64 z) y) #s(literal -1/2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64))) (fma.f64 t t (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 t (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 t (-.f64 t (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 t (-.f64 t (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 t (-.f64 t (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 t (-.f64 t (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))))) (-.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 t (-.f64 t (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 t (-.f64 t (*.f64 (*.f64 z y) #s(literal -1/2 binary64))))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 t (-.f64 t (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 t (-.f64 t (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 t t) (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 t (*.f64 (*.f64 z y) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (neg.f64 t) t)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) t)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 t (-.f64 t (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) t)) (*.f64 (-.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) t) (*.f64 t t))) (*.f64 (-.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) t) (-.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) t))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 t (-.f64 t (*.f64 (*.f64 z y) #s(literal -1/2 binary64))))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 t (-.f64 t (*.f64 (*.f64 z y) #s(literal -1/2 binary64))))) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 t (-.f64 t (*.f64 (*.f64 z y) #s(literal -1/2 binary64))))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 t (-.f64 t (*.f64 (*.f64 z y) #s(literal -1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 t t) (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 t (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (neg.f64 t) t))) (neg.f64 (-.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) t))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 t t (-.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) t))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 t (-.f64 t (*.f64 (*.f64 z y) #s(literal -1/2 binary64))))))) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (neg.f64 t) t)) (-.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) t)) |
(/.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t t (-.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) t)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 t (-.f64 t (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) t) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t) |
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) t) |
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t) |
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(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) #s(literal 1/8 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) (*.f64 (neg.f64 x) #s(literal 1/8 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal -1/8 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) x) #s(literal 1/8 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x #s(literal 1/8 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (/.f64 y #s(literal -2 binary64)) z)) (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (/.f64 y #s(literal -2 binary64)) z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (/.f64 y #s(literal -2 binary64)) z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal -1/8 binary64) x))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) x) #s(literal 1/8 binary64))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/8 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (/.f64 y #s(literal -2 binary64)) z)) (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1/8 binary64))) |
(fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1/8 binary64))) |
(fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 y (/.f64 z #s(literal -2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1/8 binary64))) |
(fma.f64 y (/.f64 z #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 x #s(literal 1/8 binary64) (*.f64 (/.f64 y #s(literal -2 binary64)) z)) |
(fma.f64 #s(literal 1/8 binary64) x (*.f64 (/.f64 y #s(literal -2 binary64)) z)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) (*.f64 (neg.f64 x) #s(literal 1/8 binary64)))))) (/.f64 (pow.f64 (*.f64 (neg.f64 x) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) (*.f64 (neg.f64 x) #s(literal 1/8 binary64))))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (/.f64 y #s(literal -2 binary64)) z))) (/.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (/.f64 y #s(literal -2 binary64)) z)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal -1/8 binary64) x))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal -1/8 binary64) x)))) |
(-.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) (*.f64 #s(literal -1/8 binary64) x)) |
(-.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) (*.f64 (neg.f64 x) #s(literal 1/8 binary64))) |
(-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (neg.f64 (/.f64 y #s(literal -2 binary64))) z)) |
(-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (neg.f64 z) (/.f64 y #s(literal -2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) x) #s(literal 1/8 binary64))))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) x) #s(literal 1/8 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) x) #s(literal 1/8 binary64))))) (/.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) x) #s(literal 1/8 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (/.f64 y #s(literal -2 binary64)) z))) (/.f64 (*.f64 (neg.f64 (*.f64 (/.f64 z #s(literal 2 binary64)) y)) (*.f64 (/.f64 z #s(literal 2 binary64)) y)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (/.f64 y #s(literal -2 binary64)) z)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 x #s(literal 1/8 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (/.f64 y #s(literal -2 binary64)) z)) (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 3 binary64)) (fma.f64 (*.f64 x #s(literal 1/8 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (/.f64 y #s(literal -2 binary64)) z)) (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 3 binary64)) (fma.f64 (*.f64 x #s(literal 1/8 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (/.f64 y #s(literal -2 binary64)) z)) (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 x #s(literal 1/8 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (/.f64 y #s(literal -2 binary64)) z)) (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal -1/8 binary64) x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 1/8 binary64)) (*.f64 x #s(literal 1/8 binary64))) (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal -1/8 binary64) x)))) |
(+.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1/8 binary64))) |
(+.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) (*.f64 x #s(literal 1/8 binary64))) |
(+.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (/.f64 y #s(literal -2 binary64)) z)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (neg.f64 y)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 y) #s(literal 2 binary64)) |
(/.f64 y #s(literal -2 binary64)) |
(neg.f64 (/.f64 y #s(literal 2 binary64))) |
(*.f64 x #s(literal 1/8 binary64)) |
(*.f64 #s(literal 1/8 binary64) x) |
Compiled 14 631 to 1 243 computations (91.5% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 333 | 2 | 335 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 0 | 0 |
| Total | 335 | 4 | 339 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))) |
| ✓ | 68.8% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
| ▶ | 65.6% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))) |
| ✓ | 66.0% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
Compiled 83 to 71 computations (14.5% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x #s(literal 1/8 binary64) t) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) z) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) | |
| cost-diff | 0 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/8 binary64) x) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) | |
| cost-diff | 0 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 82 |
| 0 | 32 | 82 |
| 1 | 57 | 80 |
| 2 | 101 | 80 |
| 3 | 209 | 80 |
| 4 | 379 | 80 |
| 5 | 474 | 80 |
| 6 | 481 | 80 |
| 0 | 481 | 78 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) |
#s(literal -1/2 binary64) |
(*.f64 z y) |
z |
y |
(*.f64 #s(literal 1/8 binary64) x) |
#s(literal 1/8 binary64) |
x |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
y |
(fma.f64 x #s(literal 1/8 binary64) t) |
x |
#s(literal 1/8 binary64) |
t |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) |
#s(literal -1/2 binary64) |
(*.f64 z y) |
z |
y |
(*.f64 #s(literal 1/8 binary64) x) |
(*.f64 x #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
x |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
y |
(fma.f64 x #s(literal 1/8 binary64) t) |
x |
#s(literal 1/8 binary64) |
t |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) | |
| accuracy | 0.0 | (fma.f64 x #s(literal 1/8 binary64) t) | |
| accuracy | 0.0 | (*.f64 #s(literal -1/2 binary64) z) | |
| accuracy | 0.0 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/8 binary64) x) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) | |
| accuracy | 21.98321658705064 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))) |
| 53.0ms | 256× | 0 | valid |
Compiled 73 to 26 computations (64.4% saved)
ival-mult: 29.0ms (72.7% of total)ival-div: 4.0ms (10% of total)ival-add: 4.0ms (10% of total)ival-sub: 1.0ms (2.5% of total)exact: 1.0ms (2.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) |
(*.f64 z y) |
(*.f64 #s(literal 1/8 binary64) x) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(*.f64 #s(literal -1/2 binary64) z) |
(fma.f64 x #s(literal 1/8 binary64) t) |
| Outputs |
|---|
(- t (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(* -1/2 (* y z)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(* 1/8 x) |
(+ t (* -1/2 (* y z))) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
t |
(+ t (* 1/8 x)) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x)))) |
(* x (+ 1/8 (/ t x))) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8))) |
(* -1 (* x (- (* -1 (/ t x)) 1/8))) |
(* y z) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(* y (+ (* -1/2 z) (* 1/8 (/ x y)))) |
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y)))) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z)))) |
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z)))) |
(* -1/2 z) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(* z (+ (* -1/2 y) (* 1/8 (/ x z)))) |
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z)))) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y)))) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t))))) |
(* t (+ 1 (* 1/8 (/ x t)))) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1))) |
(* -1 (* t (- (* -1/8 (/ x t)) 1))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* 1/8 x)) (* z y) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) (+ (* x 1/8) t)) (* -1/2 z) (+ (* x 1/8) t)) |
| 1.0ms | z | @ | inf | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* 1/8 x)) (* z y) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) (+ (* x 1/8) t)) (* -1/2 z) (+ (* x 1/8) t)) |
| 1.0ms | x | @ | -inf | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* 1/8 x)) (* z y) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) (+ (* x 1/8) t)) (* -1/2 z) (+ (* x 1/8) t)) |
| 1.0ms | x | @ | inf | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* 1/8 x)) (* z y) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) (+ (* x 1/8) t)) (* -1/2 z) (+ (* x 1/8) t)) |
| 1.0ms | y | @ | -inf | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* 1/8 x)) (* z y) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) (+ (* x 1/8) t)) (* -1/2 z) (+ (* x 1/8) t)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 356 |
| 1 | 387 | 356 |
| 2 | 1162 | 352 |
| 3 | 3515 | 352 |
| 4 | 7851 | 352 |
| 0 | 9069 | 310 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- t (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(* -1/2 (* y z)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(* 1/8 x) |
(+ t (* -1/2 (* y z))) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
t |
(+ t (* 1/8 x)) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x)))) |
(* x (+ 1/8 (/ t x))) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8))) |
(* -1 (* x (- (* -1 (/ t x)) 1/8))) |
(* y z) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(* y (+ (* -1/2 z) (* 1/8 (/ x y)))) |
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y)))) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z)))) |
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z)))) |
(* -1/2 z) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(* z (+ (* -1/2 y) (* 1/8 (/ x z)))) |
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z)))) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y)))) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t))))) |
(* t (+ 1 (* 1/8 (/ x t)))) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1))) |
(* -1 (* t (- (* -1/8 (/ x t)) 1))) |
| Outputs |
|---|
(- t (* 1/2 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(+ t (* -1/2 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)) |
t |
(+ t (* 1/8 x)) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) |
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)) |
(* x (+ 1/8 (/ t x))) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 t)) x) #s(literal 1/8 binary64))) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (*.f64 z y) x) #s(literal 1/2 binary64)) #s(literal 1/8 binary64))) |
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 t)) x) #s(literal 1/8 binary64))) |
(* -1 (* x (- (* -1 (/ t x)) 1/8))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 t) x) #s(literal 1/8 binary64))) |
(* y z) |
(*.f64 z y) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)) |
(* y (+ (* -1/2 z) (* 1/8 (/ x y)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) |
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) |
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)) |
(* z (+ (* -1/2 y) (* 1/8 (/ x z)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) |
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) |
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)) |
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)) |
(* t (+ 1 (* 1/8 (/ x t)))) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(*.f64 (neg.f64 t) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x)) t) #s(literal 1 binary64))) |
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1))) |
(*.f64 (neg.f64 t) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x)) t) #s(literal 1 binary64))) |
(* -1 (* t (- (* -1/8 (/ x t)) 1))) |
(*.f64 (neg.f64 t) (-.f64 (*.f64 (/.f64 x t) #s(literal -1/8 binary64)) #s(literal 1 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 71 |
| 0 | 32 | 71 |
| 1 | 130 | 69 |
| 2 | 867 | 69 |
| 0 | 8238 | 69 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) |
(*.f64 z y) |
(*.f64 #s(literal 1/8 binary64) x) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t)) |
(*.f64 #s(literal -1/2 binary64) z) |
(fma.f64 x #s(literal 1/8 binary64) t) |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x)))) (*.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x))))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) z)) y) (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) z)) y))) (fma.f64 x #s(literal 1/8 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) z)) y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) (fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) z) #s(literal -1/2 binary64)))) (fma.f64 x #s(literal 1/8 binary64) (*.f64 (*.f64 (neg.f64 y) z) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) z)))) (fma.f64 x #s(literal 1/8 binary64) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) z)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/8 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/8 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)))))) (*.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/8 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y))))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/8 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y))))))) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/8 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y))))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/8 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) #s(literal 1/8 binary64)) (*.f64 (neg.f64 x) #s(literal 1/8 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x))) (fma.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) #s(literal 1/8 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 x) #s(literal 1/8 binary64)) (*.f64 (neg.f64 x) #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (*.f64 (neg.f64 x) #s(literal 1/8 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) z)) y) (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) z)) y) (*.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) z)) y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))))) |
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(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64))))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (neg.f64 t) t)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t t (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 t (*.f64 #s(literal -1/8 binary64) x))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t t (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/8 binary64)) t)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64)))))) |
(fma.f64 x #s(literal 1/8 binary64) t) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(-.f64 (/.f64 (*.f64 t t) (-.f64 t (*.f64 x #s(literal 1/8 binary64)))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 t (*.f64 x #s(literal 1/8 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))) |
(-.f64 t (*.f64 (neg.f64 x) #s(literal 1/8 binary64))) |
(-.f64 t (*.f64 #s(literal -1/8 binary64) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 t t (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/8 binary64)) t)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t t (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/8 binary64)) t))))) |
(+.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t t (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/8 binary64)) t)))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 t t (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/8 binary64)) t))))) |
(+.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64)))))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64))))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64)))))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64))))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (*.f64 (neg.f64 t) t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))) |
(+.f64 (*.f64 x #s(literal 1/8 binary64)) t) |
(+.f64 t (*.f64 x #s(literal 1/8 binary64))) |
Compiled 9 060 to 816 computations (91% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 192 | 2 | 194 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 2 | 2 |
| Total | 194 | 4 | 198 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 65.7% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 x #s(literal 1/8 binary64)))) |
| ✓ | 68.8% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
| ✓ | 66.0% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
| ▶ | 32.5% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* -1/2 (* z y)) (* 1/8 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))) |
Compiled 89 to 76 computations (14.6% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x #s(literal 1/8 binary64)) | |
| cost-diff | 0 | (*.f64 y #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 x #s(literal 1/8 binary64))) | |
| cost-diff | 0 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 x #s(literal 1/8 binary64)))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) | |
| cost-diff | 0 | #s(approx (+ (* -1/2 (* z y)) (* 1/8 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) | |
| cost-diff | 0 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* -1/2 (* z y)) (* 1/8 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 92 |
| 0 | 32 | 92 |
| 1 | 59 | 90 |
| 2 | 98 | 90 |
| 3 | 162 | 90 |
| 4 | 251 | 90 |
| 5 | 310 | 90 |
| 6 | 320 | 90 |
| 0 | 320 | 86 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* -1/2 (* z y)) (* 1/8 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))) |
#s(approx (+ (* -1/2 (* z y)) (* 1/8 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
#s(literal -1/2 binary64) |
(*.f64 z y) |
z |
y |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 x #s(literal 1/8 binary64)))) |
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 x #s(literal 1/8 binary64))) |
(*.f64 y #s(literal -1/2 binary64)) |
y |
#s(literal -1/2 binary64) |
z |
(*.f64 x #s(literal 1/8 binary64)) |
x |
#s(literal 1/8 binary64) |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* -1/2 (* z y)) (* 1/8 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* -1/2 (* z y)) (* 1/8 x)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z))) |
#s(approx (+ (* -1/2 (* z y)) (* 1/8 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
#s(approx (+ (* -1/2 (* z y)) (* 1/8 x)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
#s(literal -1/2 binary64) |
(*.f64 z y) |
z |
y |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 x #s(literal 1/8 binary64)))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64)))) |
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) y) |
y |
#s(literal -1/2 binary64) |
z |
(*.f64 x #s(literal 1/8 binary64)) |
x |
#s(literal 1/8 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 x #s(literal 1/8 binary64))) | |
| accuracy | 0.0 | (*.f64 y #s(literal -1/2 binary64)) | |
| accuracy | 0.0 | (*.f64 x #s(literal 1/8 binary64)) | |
| accuracy | 21.98321658705064 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 x #s(literal 1/8 binary64)))) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 0.00390625 | (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) | |
| accuracy | 21.98321658705064 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* -1/2 (* z y)) (* 1/8 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))) | |
| accuracy | 34.45094706625932 | #s(approx (+ (* -1/2 (* z y)) (* 1/8 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
| 170.0ms | 256× | 0 | valid |
Compiled 68 to 25 computations (63.2% saved)
ival-mult: 12.0ms (57.4% of total)ival-div: 3.0ms (14.3% of total)ival-add: 3.0ms (14.3% of total)ival-sub: 1.0ms (4.8% of total)exact: 1.0ms (4.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* -1/2 (* z y)) (* 1/8 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))) |
#s(approx (+ (* -1/2 (* z y)) (* 1/8 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(*.f64 z y) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 x #s(literal 1/8 binary64)))) |
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 x #s(literal 1/8 binary64))) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 x #s(literal 1/8 binary64)) |
| Outputs |
|---|
(- t (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(* -1/2 (* y z)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(* 1/8 x) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(+ t (* 1/8 x)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(* y z) |
(* -1/2 y) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(* y (+ (* -1/2 z) (* 1/8 (/ x y)))) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z)))) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(* z (+ (* -1/2 y) (* 1/8 (/ x z)))) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y)))) |
(- (* 1/8 x) (* 1/2 (* y z))) |
t |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* 1/8 x)) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* y -1/2) z) (* x 1/8)) (* y -1/2) (* x 1/8)) |
| 1.0ms | y | @ | inf | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* 1/8 x)) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* y -1/2) z) (* x 1/8)) (* y -1/2) (* x 1/8)) |
| 1.0ms | y | @ | 0 | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* 1/8 x)) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* y -1/2) z) (* x 1/8)) (* y -1/2) (* x 1/8)) |
| 1.0ms | z | @ | -inf | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* 1/8 x)) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* y -1/2) z) (* x 1/8)) (* y -1/2) (* x 1/8)) |
| 1.0ms | x | @ | inf | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* 1/8 x)) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* y -1/2) z) (* x 1/8)) (* y -1/2) (* x 1/8)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 225 |
| 1 | 257 | 225 |
| 2 | 795 | 224 |
| 3 | 2425 | 223 |
| 4 | 5663 | 223 |
| 0 | 8216 | 196 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- t (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(* -1/2 (* y z)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(* 1/8 x) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(+ t (* 1/8 x)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(* y z) |
(* -1/2 y) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(* y (+ (* -1/2 z) (* 1/8 (/ x y)))) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z)))) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(* z (+ (* -1/2 y) (* 1/8 (/ x z)))) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y)))) |
(- (* 1/8 x) (* 1/2 (* y z))) |
t |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
| Outputs |
|---|
(- t (* 1/2 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x)) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t) #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) x)) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x)) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 t)) x) #s(literal 1/8 binary64))) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x)) |
(+ t (* 1/8 x)) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t)) |
(* y z) |
(*.f64 z y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t)) |
(* y (+ (* -1/2 z) (* 1/8 (/ x y)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x)) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x)) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t)) |
(* z (+ (* -1/2 y) (* 1/8 (/ x z)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x)) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x)) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x)) |
t |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x)) t) t t) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(*.f64 (neg.f64 t) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x)) t) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 84 |
| 0 | 32 | 84 |
| 1 | 117 | 82 |
| 2 | 780 | 82 |
| 0 | 8223 | 78 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* -1/2 (* z y)) (* 1/8 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))) |
#s(approx (+ (* -1/2 (* z y)) (* 1/8 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(*.f64 z y) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 x #s(literal 1/8 binary64)))) |
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 x #s(literal 1/8 binary64))) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 x #s(literal 1/8 binary64)) |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* -1/2 (* z y)) (* 1/8 x)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z))) |
#s(approx (+ (* -1/2 (* z y)) (* 1/8 x)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) z) y) |
(*.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(*.f64 (*.f64 z y) #s(literal -1/2 binary64)) |
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(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal -1/8 binary64) (neg.f64 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 z y) #s(literal -1/16 binary64)))))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 z y) #s(literal -1/16 binary64))))))) |
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 x #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 z y) #s(literal -1/16 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 z y) #s(literal -1/16 binary64))))))) |
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 z y) #s(literal -1/16 binary64)))))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 z y) #s(literal -1/16 binary64))))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 z y) #s(literal -1/16 binary64)))))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 z y) #s(literal -1/16 binary64))))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal -1/8 binary64) x))) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/64 binary64) x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal -1/8 binary64) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) z) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal -1/8 binary64) x))) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/64 binary64) x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal -1/8 binary64) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 (neg.f64 x) #s(literal -1/8 binary64))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) (neg.f64 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 (*.f64 z y) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal -1/8 binary64) x))) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/64 binary64) x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal -1/8 binary64) x)))) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (*.f64 (neg.f64 x) #s(literal -1/8 binary64))) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/8 binary64) (neg.f64 x))) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal -1/8 binary64) x))) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/64 binary64) x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal -1/8 binary64) x)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 (neg.f64 x) #s(literal -1/8 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal -1/8 binary64) (neg.f64 x))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 z (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) y) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal -1/8 binary64) x))) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/64 binary64) x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal -1/8 binary64) x)))) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 (neg.f64 x) #s(literal -1/8 binary64))) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) (neg.f64 x))) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) z) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal -1/8 binary64) x))) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/64 binary64) x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal -1/8 binary64) x)))) |
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) (*.f64 (neg.f64 x) #s(literal -1/8 binary64))) |
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) (*.f64 #s(literal -1/8 binary64) (neg.f64 x))) |
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 (*.f64 x #s(literal 1/8 binary64)) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 z y) #s(literal -1/16 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 z y) #s(literal -1/16 binary64))))))) |
(fma.f64 x #s(literal 1/8 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) y)) z)) |
(fma.f64 x #s(literal 1/8 binary64) (*.f64 (neg.f64 (neg.f64 z)) (*.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 x #s(literal 1/8 binary64) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal -1/2 binary64) z))) |
(fma.f64 x #s(literal 1/8 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) z)) y)) |
(fma.f64 x #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) |
(fma.f64 #s(literal 1/8 binary64) x (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) y)) z)) |
(fma.f64 #s(literal 1/8 binary64) x (*.f64 (neg.f64 (neg.f64 z)) (*.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 #s(literal 1/8 binary64) x (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal -1/2 binary64) z))) |
(fma.f64 #s(literal 1/8 binary64) x (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) z)) y)) |
(fma.f64 #s(literal 1/8 binary64) x (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) |
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 z y) #s(literal -1/16 binary64)))))) (/.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 z y) #s(literal -1/16 binary64))))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal -1/8 binary64) x))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal -1/8 binary64) x)))) |
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) (*.f64 #s(literal -1/8 binary64) x)) |
(-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 (*.f64 z y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) (*.f64 #s(literal -1/16 binary64) x))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 (*.f64 z y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) (*.f64 #s(literal -1/16 binary64) x)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 (*.f64 z y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) (*.f64 #s(literal -1/16 binary64) x))))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 (*.f64 z y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) (*.f64 #s(literal -1/16 binary64) x)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 z y) #s(literal -1/16 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 z y) #s(literal -1/16 binary64))))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 z y) #s(literal -1/16 binary64)))))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 z y) #s(literal -1/16 binary64))))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal -1/8 binary64) x))) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/64 binary64) x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal -1/8 binary64) x)))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) (*.f64 (neg.f64 x) #s(literal -1/8 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) (*.f64 #s(literal -1/8 binary64) (neg.f64 x))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) (*.f64 x #s(literal 1/8 binary64))) |
(+.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) y)) z)) |
(+.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (neg.f64 (neg.f64 z)) (*.f64 #s(literal -1/2 binary64) y))) |
(+.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal -1/2 binary64) z))) |
(+.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) z)) y)) |
(+.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) |
(*.f64 #s(literal -1/2 binary64) y) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 x #s(literal 1/8 binary64)) |
(*.f64 #s(literal 1/8 binary64) x) |
(neg.f64 (*.f64 #s(literal -1/8 binary64) x)) |
Compiled 6 994 to 582 computations (91.7% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 157 | 0 | 157 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 2 | 2 |
| Total | 157 | 4 | 161 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 65.7% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 x #s(literal 1/8 binary64)))) |
| ✓ | 68.8% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
| ✓ | 66.0% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
| ✓ | 32.5% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* -1/2 (* z y)) (* 1/8 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))) |
Compiled 269 to 131 computations (51.3% saved)
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* -1/2 (* z y)) (* 1/8 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 x #s(literal 1/8 binary64)))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))) |
(+.f64 (fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) t) |
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))) |
9 calls:
| 7.0ms | x |
| 3.0ms | t |
| 3.0ms | z |
| 3.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 3.0ms | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (*.f64 y z) |
| 100.0% | 1 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 100.0% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 100.0% | 1 | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 100.0% | 1 | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | t |
Compiled 41 to 61 computations (-48.8% saved)
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* -1/2 (* z y)) (* 1/8 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 x #s(literal 1/8 binary64)))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))) |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))) |
9 calls:
| 12.0ms | x |
| 2.0ms | t |
| 2.0ms | z |
| 2.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (*.f64 y z) |
| 100.0% | 1 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 100.0% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 100.0% | 1 | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 100.0% | 1 | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | t |
Compiled 41 to 61 computations (-48.8% saved)
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* -1/2 (* z y)) (* 1/8 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 x #s(literal 1/8 binary64)))) |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
9 calls:
| 20.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 2.0ms | t |
| 2.0ms | x |
| 2.0ms | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 2.0ms | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.5% | 3 | (*.f64 y z) |
| 91.5% | 3 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 86.0% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 85.6% | 3 | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 82.9% | 5 | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| 86.0% | 3 | x |
| 85.8% | 3 | y |
| 85.6% | 4 | z |
| 86.4% | 3 | t |
Compiled 41 to 61 computations (-48.8% saved)
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* -1/2 (* z y)) (* 1/8 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
2 calls:
| 1.0ms | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 1.0ms | (*.f64 y z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.3% | 3 | (*.f64 y z) |
| 89.3% | 3 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
Compiled 8 to 12 computations (-50% saved)
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* -1/2 (* z y)) (* 1/8 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))) |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* -1/2 (* z y)) (* 1/8 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* -1/2 (* z y)) (* 1/8 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))) |
5 calls:
| 1.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 1.0ms | (*.f64 y z) |
| 1.0ms | x |
| 1.0ms | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 1.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.8% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 68.8% | 1 | x |
| 68.8% | 1 | t |
| 85.8% | 3 | (*.f64 y z) |
| 85.8% | 3 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
Compiled 15 to 28 computations (-86.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
6 calls:
| 13.0ms | z |
| 1.0ms | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| 1.0ms | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 1.0ms | y |
| 1.0ms | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.8% | 1 | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| 68.8% | 1 | z |
| 68.8% | 1 | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 68.8% | 1 | y |
| 68.8% | 1 | (*.f64 y z) |
| 68.8% | 1 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
Compiled 34 to 45 computations (-32.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.75005656017031e+42 | 3.3016002241412372e+44 |
| 0.0ms | -1.5167622740850141e+47 | -1.871003857856569e+46 |
Compiled 16 to 20 computations (-25% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.75005656017031e+42 | 3.3016002241412372e+44 |
| 0.0ms | -2.3183354985382494e+110 | -4.615938674914032e+103 |
Compiled 16 to 20 computations (-25% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.686414170516711e+93 | 3.3395450974178747e+97 |
| 0.0ms | -2.3183354985382494e+110 | -4.615938674914032e+103 |
Compiled 16 to 20 computations (-25% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 239 |
| 1 | 73 | 239 |
| 2 | 105 | 239 |
| 3 | 171 | 239 |
| 4 | 273 | 239 |
| 5 | 363 | 239 |
| 6 | 381 | 239 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))) |
(if (<=.f64 (/.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal -100000000000000004384584304507619735463404765184 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))) (if (<=.f64 (/.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 10000000000000000139372116959414099130712064 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)))) |
(if (<=.f64 (/.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal -200000000000000004713873502834051166649906559011376372625982507853656333693232346519661872318489902052462821376 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) (if (<=.f64 (/.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 10000000000000000139372116959414099130712064 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)))) |
(if (<=.f64 (/.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal -200000000000000004713873502834051166649906559011376372625982507853656333693232346519661872318489902052462821376 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* -1/2 (* z y)) (* 1/8 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))) (if (<=.f64 (/.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 10000000000000000202188791271559469885760963232143577411377768562080040049981643093586978275328 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* -1/2 (* z y)) (* 1/8 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))) |
(if (<=.f64 (/.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal -100000000000000004384584304507619735463404765184 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))) (if (<=.f64 (/.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 10000000000000000139372116959414099130712064 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)))) |
(if (<=.f64 (/.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal -200000000000000004713873502834051166649906559011376372625982507853656333693232346519661872318489902052462821376 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) (if (<=.f64 (/.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 10000000000000000139372116959414099130712064 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)))) |
(if (or (<=.f64 (/.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal -200000000000000004713873502834051166649906559011376372625982507853656333693232346519661872318489902052462821376 binary64)) (not (<=.f64 (/.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 10000000000000000139372116959414099130712064 binary64)))) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))) |
(if (<=.f64 (/.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal -200000000000000004713873502834051166649906559011376372625982507853656333693232346519661872318489902052462821376 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* -1/2 (* z y)) (* 1/8 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))) (if (<=.f64 (/.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 10000000000000000202188791271559469885760963232143577411377768562080040049981643093586978275328 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* -1/2 (* z y)) (* 1/8 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))))) |
(if (or (<=.f64 (/.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal -200000000000000004713873502834051166649906559011376372625982507853656333693232346519661872318489902052462821376 binary64)) (not (<=.f64 (/.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 10000000000000000202188791271559469885760963232143577411377768562080040049981643093586978275328 binary64)))) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* -1/2 (* z y)) (* 1/8 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 101 |
| 0 | 37 | 101 |
| 1 | 155 | 98 |
| 2 | 1175 | 98 |
| 0 | 8507 | 97 |
| 0 | 125 | 356 |
| 1 | 387 | 356 |
| 2 | 1162 | 352 |
| 3 | 3515 | 352 |
| 4 | 7851 | 352 |
| 0 | 9069 | 310 |
| 0 | 142 | 403 |
| 1 | 454 | 403 |
| 2 | 1388 | 399 |
| 3 | 3948 | 399 |
| 0 | 8175 | 352 |
| 0 | 87 | 246 |
| 1 | 228 | 246 |
| 2 | 648 | 245 |
| 3 | 2246 | 244 |
| 4 | 5808 | 244 |
| 0 | 8059 | 218 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 259 to 57 computations (78% saved)
(sort y z)
Compiled 612 to 200 computations (67.3% saved)
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