
Time bar (total: 5.6s)
| 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)
| 636.0ms | 8 254× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
| 0.0ms | 1× | 1 | valid |
ival-div: 123.0ms (38% of total)ival-mult: 98.0ms (30.3% of total)ival-sub: 46.0ms (14.2% of total)ival-add: 38.0ms (11.7% of total)exact: 10.0ms (3.1% of total)ival-true: 6.0ms (1.9% of total)ival-assert: 3.0ms (0.9% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 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 | 1 | (1.111893533667166e-267 1.6890512509193745e+153 -7.556753074185397e-309 2.262965885123702e-172) | 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 |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) | cancellation | 1 | 0 |
/.f64 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) | o/n | 1 | 0 |
| ↳ | (*.f64 y z) | overflow | 30 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 0 |
| - | 1 | 254 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 1 | 0 | 254 |
| number | freq |
|---|---|
| 0 | 254 |
| 1 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 43.0ms | 512× | 0 | valid |
Compiled 205 to 88 computations (57.1% saved)
ival-div: 11.0ms (46.6% of total)ival-mult: 7.0ms (29.6% of total)ival-sub: 2.0ms (8.5% of total)ival-add: 2.0ms (8.5% of total)exact: 1.0ms (4.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 164 |
| 1 | 164 | 155 |
| 2 | 405 | 154 |
| 3 | 1042 | 154 |
| 4 | 2188 | 154 |
| 5 | 2948 | 154 |
| 6 | 3153 | 154 |
| 7 | 3176 | 154 |
| 8 | 3183 | 154 |
| 9 | 3183 | 154 |
| 10 | 3185 | 154 |
| 11 | 3191 | 154 |
| 0 | 13 | 11 |
| 0 | 20 | 11 |
| 1 | 31 | 11 |
| 2 | 57 | 11 |
| 3 | 108 | 11 |
| 4 | 189 | 11 |
| 5 | 315 | 11 |
| 6 | 486 | 11 |
| 7 | 666 | 11 |
| 8 | 798 | 11 |
| 9 | 800 | 11 |
| 0 | 800 | 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 #s(literal -1/2 binary64) (*.f64 z y) (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 |
|---|---|---|
| ▶ | 99.7% | (+.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 | 128 | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) | |
| cost-diff | 128 | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) | |
| cost-diff | 384 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 39 |
| 0 | 20 | 39 |
| 1 | 31 | 39 |
| 2 | 57 | 39 |
| 3 | 108 | 39 |
| 4 | 189 | 39 |
| 5 | 315 | 39 |
| 6 | 486 | 39 |
| 7 | 666 | 39 |
| 8 | 798 | 39 |
| 9 | 800 | 39 |
| 0 | 800 | 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 #s(literal -1/2 binary64) (*.f64 z y) (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 #s(literal -1/2 binary64) (*.f64 z y) (*.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 #s(literal 1/2 binary64) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
#s(literal 2 binary64) |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y z) | |
| accuracy | 0.00390625 | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) | |
| accuracy | 0.0078125 | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) | |
| accuracy | 0.19965239342519525 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 19.0ms | 256× | 0 | valid |
Compiled 96 to 28 computations (70.8% saved)
ival-div: 3.0ms (32.7% of total)ival-mult: 3.0ms (32.7% of total)ival-sub: 1.0ms (10.9% of total)ival-add: 1.0ms (10.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) |
(/.f64 (*.f64 y z) #s(literal 2 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 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))) |
(* 1/2 (* y z)) |
(+ t (* 1/8 x)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(* 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 | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | ((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z)) |
| 1.0ms | y | @ | 0 | ((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z)) |
| 1.0ms | z | @ | -inf | ((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z)) |
| 1.0ms | y | @ | -inf | ((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z)) |
| 1.0ms | z | @ | inf | ((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 211 |
| 1 | 241 | 211 |
| 2 | 633 | 211 |
| 3 | 1916 | 211 |
| 4 | 5135 | 211 |
| 0 | 8111 | 181 |
| 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))) |
(* 1/2 (* y z)) |
(+ t (* 1/8 x)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(* 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 (*.f64 #s(literal -1/2 binary64) y) z 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)) |
(- (* 1/8 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 (*.f64 #s(literal -1/2 binary64) y) z (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))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) |
(* 1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 1/2 binary64)) |
(+ 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)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) |
(* y z) |
(*.f64 z 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 (- (* 1/8 (/ 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) y) z (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)) |
(* 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 (- (* 1/8 (/ 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) y) z (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)) |
t |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 29 |
| 0 | 20 | 29 |
| 1 | 65 | 29 |
| 2 | 503 | 29 |
| 3 | 6469 | 29 |
| 0 | 8004 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) |
(/.f64 (*.f64 y z) #s(literal 2 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 y z) |
| Outputs |
|---|
#s(literal 1/8 binary64) |
(*.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 z y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 z y)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) z) |
(*.f64 (neg.f64 y) (*.f64 z #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 z) (/.f64 y #s(literal -2 binary64))) |
(*.f64 (neg.f64 z) (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 y #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) z) y) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 z y)) |
(*.f64 (*.f64 (neg.f64 y) z) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 z y) #s(literal 1/2 binary64)) |
(*.f64 z (*.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) |
(*.f64 z (*.f64 (neg.f64 y) #s(literal -1/2 binary64))) |
(*.f64 z (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 y (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64))) |
(*.f64 y (*.f64 #s(literal 1/2 binary64) z)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y))) |
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 z y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) z)) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) z)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 z y))) |
(/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 z y) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 y) z) #s(literal -2 binary64)) |
(/.f64 (*.f64 z y) #s(literal 2 binary64)) |
(/.f64 y (/.f64 #s(literal 2 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 z y))) |
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 z y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 t) t (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 t (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64)))) |
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(fma.f64 (neg.f64 y) (*.f64 #s(literal 1/2 binary64) z) (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (neg.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))))) |
(fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (neg.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))))) |
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 (neg.f64 z) (*.f64 #s(literal 1/2 binary64) y) (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/512 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))))) |
(fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) (neg.f64 y) (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) z) (*.f64 x #s(literal 1/8 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 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))))) |
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))))) |
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))))) |
(fma.f64 (*.f64 (neg.f64 y) z) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 (*.f64 x #s(literal 1/8 binary64)) (/.f64 (*.f64 x #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (neg.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.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 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))))) |
(fma.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
(fma.f64 x (/.f64 (*.f64 #s(literal 1/64 binary64) x) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (neg.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))))) |
(fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal -1 binary64) (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 z (/.f64 (neg.f64 y) #s(literal 2 binary64)) (*.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 z (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 z (neg.f64 (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (neg.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))))) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) (*.f64 x #s(literal 1/8 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) x) (/.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.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 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 x #s(literal 1/8 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) x) (/.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))) (neg.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.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 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) (*.f64 x #s(literal 1/8 binary64))) |
(+.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
(*.f64 (*.f64 #s(literal 1 binary64) z) y) |
(*.f64 (*.f64 #s(literal 1 binary64) y) z) |
(*.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 #s(literal -1 binary64) (*.f64 (neg.f64 y) z)) |
(*.f64 (*.f64 z y) #s(literal 1 binary64)) |
(*.f64 z (*.f64 y #s(literal 1 binary64))) |
(*.f64 z (neg.f64 (neg.f64 y))) |
(*.f64 z y) |
(*.f64 y (*.f64 z #s(literal 1 binary64))) |
(*.f64 y (neg.f64 (neg.f64 z))) |
(*.f64 y z) |
(*.f64 #s(literal 1 binary64) (*.f64 z y)) |
(neg.f64 (*.f64 (neg.f64 y) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) z)) |
Compiled 8 434 to 868 computations (89.7% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 278 | 5 | 283 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 279 | 5 | 284 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t)) |
| ▶ | 70.2% | (+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) t) |
| ▶ | 70.5% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)) |
| ▶ | 60.2% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
| ▶ | 30.5% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x)) |
Compiled 166 to 150 computations (9.6% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) | |
| cost-diff | 0 | #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) | |
| cost-diff | 0 | (+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) t) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t) | |
| cost-diff | 0 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z 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 | (*.f64 #s(literal 1/8 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x)) | |
| cost-diff | 0 | (fma.f64 x #s(literal 1/8 binary64) t) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 140 |
| 0 | 40 | 140 |
| 1 | 68 | 137 |
| 2 | 102 | 137 |
| 3 | 154 | 137 |
| 4 | 235 | 134 |
| 5 | 387 | 134 |
| 6 | 565 | 134 |
| 7 | 759 | 134 |
| 8 | 910 | 134 |
| 9 | 926 | 134 |
| 10 | 929 | 134 |
| 0 | 929 | 132 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t)) |
(*.f64 z y) |
z |
y |
#s(literal -1/2 binary64) |
(fma.f64 x #s(literal 1/8 binary64) t) |
x |
#s(literal 1/8 binary64) |
t |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x)) |
(*.f64 #s(literal 1/8 binary64) x) |
#s(literal 1/8 binary64) |
x |
#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 |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
z |
t |
(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) t) |
#s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.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 |
t |
| Outputs |
|---|
(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 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
#s(literal -1/2 binary64) |
(fma.f64 x #s(literal 1/8 binary64) t) |
(fma.f64 #s(literal 1/8 binary64) x t) |
x |
#s(literal 1/8 binary64) |
t |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x)) |
(*.f64 #s(literal 1/8 binary64) x) |
#s(literal 1/8 binary64) |
x |
#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 |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
z |
t |
(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) t) |
(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) t) |
#s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
#s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
#s(literal -1/2 binary64) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
t |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0.00390625 | (+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) t) | |
| accuracy | 0.19965239342519525 | (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) | |
| accuracy | 30.82835838890985 | #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| accuracy | 0.009070031620653759 | (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t) | |
| accuracy | 18.87537082329281 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)) | |
| accuracy | 0 | (fma.f64 #s(literal 1/8 binary64) x t) | |
| accuracy | 25.477271415519343 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) | |
| accuracy | 0 | (*.f64 #s(literal 1/8 binary64) x) | |
| accuracy | 44.49408012146997 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x)) | |
| accuracy | 0 | (fma.f64 x #s(literal 1/8 binary64) t) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0.20355864342519525 | (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t)) |
| 41.0ms | 256× | 0 | valid |
Compiled 279 to 56 computations (79.9% saved)
ival-mult: 13.0ms (56.3% of total)ival-add: 5.0ms (21.7% of total)ival-div: 3.0ms (13% of total)ival-sub: 1.0ms (4.3% of total)exact: 1.0ms (4.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t)) |
(*.f64 z y) |
(fma.f64 x #s(literal 1/8 binary64) t) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x)) |
(*.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)) |
(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) y) z t)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t) |
(*.f64 #s(literal -1/2 binary64) y) |
(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) t) |
#s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
| Outputs |
|---|
(+ t (* -1/2 (* y z))) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
t |
(+ t (* 1/8 x)) |
(- t (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(* 1/8 x) |
(* -1/2 (* y z)) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x)))) |
(* x (+ 1/8 (/ t 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 (/ t x)) 1/8))) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(* y z) |
(* -1/2 y) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y)))) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(* y (+ (* -1/2 z) (/ t y))) |
(* y (- (* 1/8 (/ x y)) (* 1/2 z))) |
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z)))) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z)))) |
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z)))) |
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z)))) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(* z (+ (* -1/2 y) (/ t z))) |
(* z (- (* 1/8 (/ x z)) (* 1/2 y))) |
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y)))) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y)))) |
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y)))) |
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t))))) |
(* t (+ 1 (* 1/8 (/ x t)))) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(* t (+ 1 (* -1/2 (/ (* y z) t)))) |
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1))) |
(* -1 (* t (- (* -1/8 (/ x t)) 1))) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | -inf | ((+ (* (* z y) -1/2) (+ (* x 1/8) t)) (* z y) (+ (* x 1/8) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* 1/8 x) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 y) z) t) (* -1/2 y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* -1/2 (* z y))) |
| 1.0ms | y | @ | -inf | ((+ (* (* z y) -1/2) (+ (* x 1/8) t)) (* z y) (+ (* x 1/8) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* 1/8 x) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 y) z) t) (* -1/2 y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* -1/2 (* z y))) |
| 1.0ms | y | @ | inf | ((+ (* (* z y) -1/2) (+ (* x 1/8) t)) (* z y) (+ (* x 1/8) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* 1/8 x) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 y) z) t) (* -1/2 y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* -1/2 (* z y))) |
| 1.0ms | x | @ | -inf | ((+ (* (* z y) -1/2) (+ (* x 1/8) t)) (* z y) (+ (* x 1/8) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* 1/8 x) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 y) z) t) (* -1/2 y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* -1/2 (* z y))) |
| 1.0ms | x | @ | inf | ((+ (* (* z y) -1/2) (+ (* x 1/8) t)) (* z y) (+ (* x 1/8) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* 1/8 x) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 y) z) t) (* -1/2 y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* -1/2 (* z y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 366 |
| 1 | 439 | 366 |
| 2 | 1157 | 366 |
| 3 | 3126 | 366 |
| 4 | 6285 | 366 |
| 0 | 8284 | 309 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ t (* -1/2 (* y z))) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
t |
(+ t (* 1/8 x)) |
(- t (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(* 1/8 x) |
(* -1/2 (* y z)) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x)))) |
(* x (+ 1/8 (/ t 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 (/ t x)) 1/8))) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(* y z) |
(* -1/2 y) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y)))) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(* y (+ (* -1/2 z) (/ t y))) |
(* y (- (* 1/8 (/ x y)) (* 1/2 z))) |
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z)))) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z)))) |
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z)))) |
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z)))) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(* z (+ (* -1/2 y) (/ t z))) |
(* z (- (* 1/8 (/ x z)) (* 1/2 y))) |
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y)))) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y)))) |
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y)))) |
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t))))) |
(* t (+ 1 (* 1/8 (/ x t)))) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(* t (+ 1 (* -1/2 (/ (* y z) t)))) |
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1))) |
(* -1 (* t (- (* -1/8 (/ x t)) 1))) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1))) |
| Outputs |
|---|
(+ t (* -1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) 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) |
(- t (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) 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)) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) |
(* 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) |
(* 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 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) |
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* x (- (* -1 (/ t x)) 1/8))) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) |
(* y z) |
(*.f64 y z) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) |
(* 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)) |
(* 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) (/ t y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) |
(* y (- (* 1/8 (/ x y)) (* 1/2 z))) |
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) |
(* -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 (/ (+ 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 (/ t y)) (* 1/2 z)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) |
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z)))) |
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) |
(* 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)) |
(* 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) (/ t z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) |
(* z (- (* 1/8 (/ x z)) (* 1/2 y))) |
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) |
(* -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 (/ (+ 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 (/ t z)) (* 1/2 y)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) |
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y)))) |
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) |
(* 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) |
(* 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)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) |
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* t (- (* -1/8 (/ x t)) 1))) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 118 |
| 0 | 40 | 118 |
| 1 | 162 | 112 |
| 2 | 1118 | 112 |
| 0 | 8134 | 110 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t)) |
(*.f64 z y) |
(fma.f64 x #s(literal 1/8 binary64) t) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x)) |
(*.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)) |
(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) y) z t)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t) |
(*.f64 #s(literal -1/2 binary64) y) |
(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) t) |
#s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (*.f64 t t)) (pow.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) t)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) (fma.f64 #s(literal 1/8 binary64) x t)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 (fma.f64 t (-.f64 t (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x))) (pow.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x t) (-.f64 (fma.f64 #s(literal 1/8 binary64) x t) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/8 binary64) x t))) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 t (-.f64 t #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z))) (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 2 binary64)) (-.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) t)) (*.f64 (-.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) t) (*.f64 t t))) (*.f64 (-.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) t) (-.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) t))) |
(/.f64 (-.f64 (*.f64 t t) (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 2 binary64))) (-.f64 t #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 2 binary64)) (*.f64 t t))) (neg.f64 (-.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) t))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 t t (-.f64 (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 2 binary64)) (*.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) t))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 t (-.f64 t #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z))) (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) t)))) |
(/.f64 (-.f64 (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) t)) |
(/.f64 (+.f64 (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t t (-.f64 (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 2 binary64)) (*.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) t)))) |
(/.f64 (+.f64 (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t (-.f64 t #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z))) (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 t #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z))) (-.f64 (*.f64 t t) (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t (-.f64 (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 2 binary64)) (*.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) t))) (+.f64 (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) t)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) t))) |
(-.f64 (/.f64 (*.f64 t t) (-.f64 t #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)))) (/.f64 (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 2 binary64)) (-.f64 t #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z))))) |
(-.f64 (/.f64 (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 2 binary64)) (-.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) t)) (/.f64 (*.f64 t t) (-.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) t))) |
(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) t) |
(+.f64 t #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z))) |
#s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) |
(*.f64 (neg.f64 y) (*.f64 z #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y z))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) z) y) |
(*.f64 (*.f64 (neg.f64 y) z) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(*.f64 (*.f64 y z) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(*.f64 y (neg.f64 (*.f64 z #s(literal 1/2 binary64)))) |
(*.f64 y (*.f64 #s(literal -1/2 binary64) z)) |
(*.f64 z (*.f64 #s(literal -1/2 binary64) y)) |
(pow.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 y z))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y z)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 y) z))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) z)) #s(literal -2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 y z))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y z))) |
(/.f64 (*.f64 (neg.f64 y) z) #s(literal 2 binary64)) |
(/.f64 (*.f64 y z) #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (neg.f64 y) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 y z)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 y z))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 y z)))) |
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y z))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y z))) |
Compiled 10 581 to 1 011 computations (90.4% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 319 | 1 | 320 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 321 | 4 | 325 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t)) |
| ▶ | 70.5% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) |
| ✓ | 60.2% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
| ✓ | 30.5% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x)) |
Compiled 64 to 58 computations (9.4% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) z) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) | |
| cost-diff | 0 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 31 |
| 0 | 21 | 31 |
| 1 | 37 | 31 |
| 2 | 69 | 31 |
| 3 | 121 | 31 |
| 4 | 202 | 30 |
| 5 | 331 | 30 |
| 6 | 503 | 30 |
| 7 | 679 | 30 |
| 8 | 811 | 30 |
| 9 | 813 | 30 |
| 0 | 813 | 29 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
y |
t |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
y |
t |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) z) | |
| accuracy | 18.87537082329281 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) |
| 44.0ms | 256× | 0 | valid |
Compiled 62 to 36 computations (41.9% saved)
ival-div: 24.0ms (70.2% of total)ival-mult: 6.0ms (17.5% of total)ival-add: 2.0ms (5.8% of total)ival-sub: 1.0ms (2.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) |
(*.f64 #s(literal -1/2 binary64) z) |
| Outputs |
|---|
(- t (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(* 1/8 x) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(+ t (* 1/8 x)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
t |
(+ t (* -1/2 (* y z))) |
(* -1/2 (* y z)) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(* y (+ (* -1/2 z) (/ t y))) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z)))) |
(* -1/2 z) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(* z (+ (* -1/2 y) (/ t z))) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(* -1 (* z (+ (* -1 (/ t 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 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z)) |
| 1.0ms | z | @ | inf | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z)) |
| 0.0ms | z | @ | 0 | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z)) |
| 0.0ms | y | @ | inf | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z)) |
| 0.0ms | y | @ | -inf | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 192 |
| 1 | 264 | 192 |
| 2 | 734 | 192 |
| 3 | 2257 | 192 |
| 4 | 6057 | 192 |
| 0 | 8203 | 162 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- t (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(* 1/8 x) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(+ t (* 1/8 x)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
t |
(+ t (* -1/2 (* y z))) |
(* -1/2 (* y z)) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(* y (+ (* -1/2 z) (/ t y))) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z)))) |
(* -1/2 z) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(* z (+ (* -1/2 y) (/ t z))) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(* -1 (* z (+ (* -1 (/ t 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 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(* -1 (* t (- (* 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 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
(* 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)) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
(+ 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 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
t |
(+ t (* -1/2 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z 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) |
(* -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) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* 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) |
(* -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) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.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) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) |
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 27 |
| 0 | 21 | 27 |
| 1 | 81 | 26 |
| 2 | 655 | 26 |
| 0 | 8404 | 25 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) |
(*.f64 #s(literal -1/2 binary64) z) |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) |
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(fma.f64 (*.f64 (neg.f64 y) z) #s(literal 1/2 binary64) t) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t)) (neg.f64 (*.f64 t (/.f64 t (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) y) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t)) (neg.f64 (*.f64 t (/.f64 t (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (neg.f64 (neg.f64 t))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t)) (neg.f64 (*.f64 t (/.f64 t (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (neg.f64 (neg.f64 t))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal -1 binary64) (neg.f64 (neg.f64 t))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal -1 binary64) t) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (neg.f64 (neg.f64 t))) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) t) |
(fma.f64 z (/.f64 (neg.f64 y) #s(literal 2 binary64)) (neg.f64 (neg.f64 t))) |
(fma.f64 z (/.f64 (neg.f64 y) #s(literal 2 binary64)) t) |
(fma.f64 z (/.f64 y #s(literal -2 binary64)) (neg.f64 (neg.f64 t))) |
(fma.f64 z (/.f64 y #s(literal -2 binary64)) t) |
(fma.f64 z (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 t))) |
(fma.f64 z (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) t) |
(fma.f64 z (neg.f64 (*.f64 #s(literal 1/2 binary64) y)) (neg.f64 (neg.f64 t))) |
(fma.f64 z (neg.f64 (*.f64 #s(literal 1/2 binary64) y)) t) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 (neg.f64 t))) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t) |
(fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) z) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t)) (neg.f64 (*.f64 t (/.f64 t (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t))))) |
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) (neg.f64 (neg.f64 t))) |
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (neg.f64 (neg.f64 t))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t) |
(-.f64 (+.f64 t #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y))) |
(-.f64 (/.f64 (*.f64 t t) (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y t)) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y t))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y t)) (*.f64 t (/.f64 t (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) t)) |
(-.f64 t (*.f64 #s(literal 1/2 binary64) (*.f64 z y))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y t)) (neg.f64 (*.f64 t (/.f64 t (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t))))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (neg.f64 (neg.f64 t))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t) |
(+.f64 t (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)) |
(*.f64 (neg.f64 z) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) z)) |
(*.f64 #s(literal -1/2 binary64) z) |
(*.f64 z #s(literal -1/2 binary64)) |
(/.f64 (neg.f64 (neg.f64 z)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 z) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) z)) |
(/.f64 z #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) z))) |
(neg.f64 (*.f64 #s(literal 1/2 binary64) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) z)) |
Compiled 3 997 to 413 computations (89.7% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 120 | 2 | 122 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 120 | 6 | 126 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t)) |
| ✓ | 70.5% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) |
| ▶ | 69.5% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))) |
| ✓ | 60.2% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
| ✓ | 30.5% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x)) |
| ▶ | 40.5% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
Compiled 105 to 94 computations (10.5% saved)
| 1× | egg-herbie |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 1/8 binary64) x) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x)) | |
| cost-diff | 0 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) | |
| cost-diff | 0 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 67 |
| 0 | 28 | 67 |
| 1 | 47 | 67 |
| 2 | 77 | 67 |
| 3 | 128 | 67 |
| 4 | 209 | 65 |
| 5 | 344 | 65 |
| 6 | 502 | 65 |
| 7 | 676 | 65 |
| 8 | 806 | 65 |
| 9 | 808 | 65 |
| 0 | 808 | 63 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.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 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
z |
(*.f64 #s(literal 1/8 binary64) x) |
#s(literal 1/8 binary64) |
x |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.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 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))) |
#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 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
z |
(*.f64 #s(literal 1/8 binary64) x) |
(*.f64 x #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
x |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 #s(literal 1/8 binary64) x) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| accuracy | 0.009070031620653759 | (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x)) | |
| accuracy | 19.523862731059893 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0.19965239342519525 | (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) | |
| accuracy | 37.89688571363205 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
| 59.0ms | 256× | 0 | valid |
Compiled 130 to 45 computations (65.4% saved)
ival-mult: 37.0ms (80% of total)ival-add: 4.0ms (8.6% of total)ival-div: 3.0ms (6.5% of total)ival-sub: 1.0ms (2.2% of total)exact: 1.0ms (2.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.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 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x)) |
(*.f64 #s(literal -1/2 binary64) y) |
(*.f64 #s(literal 1/8 binary64) x) |
| 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)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 y) z) (* 1/8 x)) (* -1/2 y) (* 1/8 x)) |
| 1.0ms | y | @ | inf | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 y) z) (* 1/8 x)) (* -1/2 y) (* 1/8 x)) |
| 1.0ms | y | @ | 0 | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 y) z) (* 1/8 x)) (* -1/2 y) (* 1/8 x)) |
| 1.0ms | z | @ | -inf | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 y) z) (* 1/8 x)) (* -1/2 y) (* 1/8 x)) |
| 1.0ms | x | @ | inf | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 y) z) (* 1/8 x)) (* -1/2 y) (* 1/8 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 209 |
| 1 | 262 | 209 |
| 2 | 741 | 209 |
| 3 | 2063 | 209 |
| 4 | 5402 | 209 |
| 0 | 8226 | 179 |
| 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 (*.f64 #s(literal -1/2 binary64) 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 (*.f64 #s(literal -1/2 binary64) 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 (*.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 (*.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))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -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) z) y (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) z) y (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) z) y (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) z) y (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) z) y (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 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 59 |
| 0 | 28 | 59 |
| 1 | 91 | 57 |
| 2 | 714 | 57 |
| 0 | 8809 | 55 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.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 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x)) |
(*.f64 #s(literal -1/2 binary64) y) |
(*.f64 #s(literal 1/8 binary64) x) |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) |
(*.f64 (neg.f64 y) (*.f64 z #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 z) (*.f64 y #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y))) |
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(*.f64 x #s(literal 1/8 binary64)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal 1/8 binary64) x) |
Compiled 4 960 to 493 computations (90.1% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 139 | 1 | 140 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 4 | 4 |
| Total | 140 | 6 | 146 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t)) |
| ✓ | 70.5% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) |
| ✓ | 69.5% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))) |
| ✓ | 60.2% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
| 40.8% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)) | |
| ✓ | 30.5% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x)) |
Compiled 281 to 139 computations (50.5% saved)
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.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) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) |
(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) t) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.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 |
|---|
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t)) |
9 calls:
| 131.0ms | x |
| 15.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 4.0ms | t |
| 4.0ms | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 4.0ms | (+.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 |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | z |
| 99.7% | 1 | t |
| 99.7% | 1 | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| 99.7% | 1 | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 99.7% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 99.7% | 1 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 99.7% | 1 | (*.f64 y z) |
Compiled 41 to 61 computations (-48.8% saved)
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.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) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) |
(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) t) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))) |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.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 (*.f64 #s(literal -1/2 binary64) y) z t)) |
9 calls:
| 6.0ms | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| 3.0ms | t |
| 3.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 3.0ms | x |
| 3.0ms | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.0% | 3 | x |
| 84.5% | 3 | y |
| 85.8% | 4 | z |
| 90.6% | 3 | t |
| 81.9% | 4 | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| 81.0% | 3 | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 85.0% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 91.5% | 3 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 91.5% | 3 | (*.f64 y z) |
Compiled 41 to 61 computations (-48.8% saved)
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.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) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) |
(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) t) |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z 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 (*.f64 #s(literal -1/2 binary64) y) z t)) |
3 calls:
| 4.0ms | t |
| 3.0ms | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 3.0ms | (*.f64 y z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.8% | 3 | t |
| 88.7% | 3 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 88.7% | 3 | (*.f64 y z) |
Compiled 9 to 16 computations (-77.8% saved)
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.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) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)) |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.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) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)) |
6 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.4% | 3 | z |
| 78.8% | 4 | y |
| 67.6% | 3 | x |
| 67.6% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 81.6% | 3 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 81.6% | 3 | (*.f64 y z) |
Compiled 16 to 32 computations (-100% saved)
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.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) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.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) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
2 calls:
| 25.0ms | (*.f64 y z) |
| 2.0ms | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.3% | 3 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 81.3% | 3 | (*.f64 y z) |
Compiled 8 to 12 computations (-50% saved)
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.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)) |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
9 calls:
| 41.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 2.0ms | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.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) |
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.2% | 1 | x |
| 60.2% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 60.2% | 1 | t |
| 60.2% | 1 | z |
| 60.2% | 1 | y |
| 60.2% | 1 | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| 60.2% | 1 | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 60.2% | 1 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 60.2% | 1 | (*.f64 y z) |
Compiled 41 to 61 computations (-48.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x)) |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x)) |
9 calls:
| 31.0ms | z |
| 1.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 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 | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.5% | 1 | x |
| 30.5% | 1 | z |
| 30.5% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 30.5% | 1 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 30.5% | 1 | (*.f64 y z) |
| 30.5% | 1 | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 30.5% | 1 | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| 30.5% | 1 | y |
| 30.5% | 1 | t |
Compiled 41 to 61 computations (-48.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.106648730697361e+19 | 6.919096261475393e+23 |
| 0.0ms | -1.9876516304073303e-32 | -4.761183428638837e-41 |
Compiled 16 to 20 computations (-25% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.106648730697361e+19 | 6.919096261475393e+23 |
| 0.0ms | -6.969381829025177e+47 | -1.9671057075532186e+34 |
Compiled 16 to 20 computations (-25% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.913527839888207e+60 | 2.8413449859050157e+63 |
| 0.0ms | -6.969381829025177e+47 | -1.9671057075532186e+34 |
Compiled 16 to 20 computations (-25% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.913527839888207e+60 | 2.8413449859050157e+63 |
| 0.0ms | -6.969381829025177e+47 | -1.9671057075532186e+34 |
Compiled 16 to 20 computations (-25% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 294 |
| 1 | 58 | 294 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t)) |
(if (<=.f64 (*.f64 y z) #s(literal -7307508186654515/730750818665451459101842416358141509827966271488 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))) (if (<=.f64 (*.f64 y z) #s(literal 100000000000000000000 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 (*.f64 #s(literal -1/2 binary64) y) z t)))) |
(if (<=.f64 (*.f64 y z) #s(literal -500000000000000021922921522538098677317023825920 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)) (if (<=.f64 (*.f64 y z) #s(literal 100000000000000000000 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 (*.f64 #s(literal -1/2 binary64) y) z t)))) |
(if (<=.f64 (*.f64 y z) #s(literal -500000000000000021922921522538098677317023825920 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (if (<=.f64 (*.f64 y z) #s(literal 9999999999999999493871352970740188669636450110134100730839040 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) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)))) |
(if (<=.f64 (*.f64 y z) #s(literal -500000000000000021922921522538098677317023825920 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (if (<=.f64 (*.f64 y z) #s(literal 9999999999999999493871352970740188669636450110134100730839040 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) (*.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) (*.f64 #s(literal 1/8 binary64) x)) |
| Outputs |
|---|
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t)) |
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t)) |
(if (<=.f64 (*.f64 y z) #s(literal -7307508186654515/730750818665451459101842416358141509827966271488 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))) (if (<=.f64 (*.f64 y z) #s(literal 100000000000000000000 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 (*.f64 #s(literal -1/2 binary64) y) z t)))) |
(if (<=.f64 (*.f64 y z) #s(literal -500000000000000021922921522538098677317023825920 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)) (if (<=.f64 (*.f64 y z) #s(literal 100000000000000000000 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 (*.f64 #s(literal -1/2 binary64) y) z t)))) |
(if (<=.f64 (*.f64 y z) #s(literal -500000000000000021922921522538098677317023825920 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (if (<=.f64 (*.f64 y z) #s(literal 9999999999999999493871352970740188669636450110134100730839040 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) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)))) |
(if (<=.f64 (*.f64 y z) #s(literal -500000000000000021922921522538098677317023825920 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) (if (<=.f64 (*.f64 y z) #s(literal 9999999999999999493871352970740188669636450110134100730839040 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) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)))) |
(if (<=.f64 (*.f64 y z) #s(literal -500000000000000021922921522538098677317023825920 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (if (<=.f64 (*.f64 y z) #s(literal 9999999999999999493871352970740188669636450110134100730839040 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) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))) |
(if (<=.f64 (*.f64 y z) #s(literal -500000000000000021922921522538098677317023825920 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) (if (<=.f64 (*.f64 y z) #s(literal 9999999999999999493871352970740188669636450110134100730839040 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) (*.f64 (*.f64 y z) #s(literal -1/2 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) (*.f64 #s(literal 1/8 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 59 |
| 0 | 28 | 59 |
| 1 | 91 | 57 |
| 2 | 714 | 57 |
| 0 | 8809 | 55 |
| 0 | 13 | 29 |
| 0 | 20 | 29 |
| 1 | 65 | 29 |
| 2 | 503 | 29 |
| 3 | 6469 | 29 |
| 0 | 8004 | 26 |
| 0 | 142 | 366 |
| 1 | 439 | 366 |
| 2 | 1157 | 366 |
| 3 | 3126 | 366 |
| 4 | 6285 | 366 |
| 0 | 8284 | 309 |
| 0 | 87 | 192 |
| 1 | 264 | 192 |
| 2 | 734 | 192 |
| 3 | 2257 | 192 |
| 4 | 6057 | 192 |
| 0 | 8203 | 162 |
| 0 | 87 | 211 |
| 1 | 241 | 211 |
| 2 | 633 | 211 |
| 3 | 1916 | 211 |
| 4 | 5135 | 211 |
| 0 | 8111 | 181 |
| 1× | fuel |
| 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 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 468 to 216 computations (53.8% saved)
(sort y z)
Compiled 728 to 178 computations (75.5% saved)
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