
Time bar (total: 3.0s)
| 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)
| 455.0ms | 8 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
ival-div: 98.0ms (36% of total)ival-mult: 89.0ms (32.7% of total)ival-add: 34.0ms (12.5% of total)ival-sub: 34.0ms (12.5% of total)exact: 9.0ms (3.3% of total)ival-true: 5.0ms (1.8% of total)ival-assert: 3.0ms (1.1% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 8 binary64) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 y z) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 34.0ms | 512× | 0 | valid |
Compiled 158 to 56 computations (64.6% saved)
ival-div: 6.0ms (34.6% of total)ival-mult: 6.0ms (34.6% of total)ival-sub: 2.0ms (11.5% of total)ival-add: 2.0ms (11.5% of total)exact: 1.0ms (5.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 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 |
|---|---|---|
| ▶ | 100.0% | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
Compiled 13 to 13 computations (0% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 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 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) | |
| accuracy | 0 | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) | |
| accuracy | 0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) | |
| accuracy | 0 | (*.f64 y z) |
| 22.0ms | 256× | 0 | valid |
Compiled 96 to 28 computations (70.8% saved)
ival-div: 3.0ms (33.2% of total)ival-mult: 3.0ms (33.2% of total)ival-add: 2.0ms (22.2% of total)ival-sub: 1.0ms (11.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #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) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 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 | y | @ | -inf | ((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z) (* (/ 1 8) x)) |
| 1.0ms | x | @ | inf | ((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z) (* (/ 1 8) x)) |
| 1.0ms | x | @ | -inf | ((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z) (* (/ 1 8) x)) |
| 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 8) x)) |
| 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 8) x)) |
| 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 | 32 |
| 0 | 20 | 32 |
| 1 | 65 | 32 |
| 2 | 503 | 32 |
| 3 | 6469 | 32 |
| 0 | 8004 | 29 |
| 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) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 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)) |
(*.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)) |
(*.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) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/8 binary64))) |
Compiled 8 495 to 881 computations (89.6% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 285 | 3 | 288 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 286 | 3 | 289 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t)) |
| ▶ | 68.2% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)) |
| ▶ | 67.6% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
Compiled 47 to 42 computations (10.6% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x #s(literal 1/8 binary64) t) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) 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)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 76 |
| 0 | 32 | 76 |
| 1 | 57 | 74 |
| 2 | 93 | 74 |
| 3 | 145 | 74 |
| 4 | 226 | 72 |
| 5 | 371 | 72 |
| 6 | 543 | 72 |
| 7 | 719 | 72 |
| 8 | 851 | 72 |
| 9 | 853 | 72 |
| 0 | 853 | 72 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#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 |
(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 |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(fma.f64 x #s(literal 1/8 binary64) t) |
#s(literal 1/8 binary64) |
x |
t |
#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 |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (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 |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t)) | |
| accuracy | 0 | (fma.f64 x #s(literal 1/8 binary64) t) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0 | (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| accuracy | 20.363362712337484 | #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 | 20.739660377664787 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
| 34.0ms | 256× | 0 | valid |
Compiled 155 to 50 computations (67.7% saved)
ival-mult: 11.0ms (47.7% of total)ival-add: 8.0ms (34.7% of total)ival-div: 3.0ms (13% of total)ival-sub: 1.0ms (4.3% 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 #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) |
(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) |
| Outputs |
|---|
(- t (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
t |
(+ t (* 1/8 x)) |
(+ t (* -1/2 (* y z))) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(* 1/8 x) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(* x (+ 1/8 (/ t x))) |
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t 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))) |
(* -1/2 y) |
(* y z) |
(* -1/2 (* y z)) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(* y (+ (* -1/2 z) (/ t y))) |
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y)))) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z)))) |
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z)))) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(* z (+ (* -1/2 y) (/ t z))) |
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z)))) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y)))) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(* t (+ 1 (* 1/8 (/ x t)))) |
(* t (+ 1 (* -1/2 (/ (* y z) t)))) |
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t))))) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(* -1 (* t (- (* -1/8 (/ x t)) 1))) |
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1))) |
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | ((+ (- (* (/ 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) (+ (* (* z y) -1/2) (+ (* x 1/8) t)) (* z y) (+ (* x 1/8) t)) |
| 1.0ms | y | @ | 0 | ((+ (- (* (/ 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) (+ (* (* z y) -1/2) (+ (* x 1/8) t)) (* z y) (+ (* x 1/8) t)) |
| 1.0ms | y | @ | -inf | ((+ (- (* (/ 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) (+ (* (* z y) -1/2) (+ (* x 1/8) t)) (* z y) (+ (* x 1/8) t)) |
| 1.0ms | y | @ | inf | ((+ (- (* (/ 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) (+ (* (* z y) -1/2) (+ (* x 1/8) t)) (* z y) (+ (* x 1/8) t)) |
| 1.0ms | z | @ | -inf | ((+ (- (* (/ 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) (+ (* (* z y) -1/2) (+ (* x 1/8) t)) (* z y) (+ (* x 1/8) t)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 312 |
| 1 | 389 | 312 |
| 2 | 1035 | 312 |
| 3 | 2754 | 312 |
| 4 | 5705 | 312 |
| 5 | 7917 | 312 |
| 0 | 8103 | 261 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- t (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
t |
(+ t (* 1/8 x)) |
(+ t (* -1/2 (* y z))) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(* 1/8 x) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(* x (+ 1/8 (/ t x))) |
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t 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))) |
(* -1/2 y) |
(* y z) |
(* -1/2 (* y z)) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(* y (+ (* -1/2 z) (/ t y))) |
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y)))) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z)))) |
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z)))) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(* z (+ (* -1/2 y) (/ t z))) |
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z)))) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y)))) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(* t (+ 1 (* 1/8 (/ x t)))) |
(* t (+ 1 (* -1/2 (/ (* y z) t)))) |
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t))))) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(* -1 (* t (- (* -1/8 (/ x t)) 1))) |
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1))) |
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) 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)) |
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 (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)) |
(* 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 (/ t x))) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(* 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)) |
(* -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)) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* y z) |
(*.f64 z y) |
(* -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 (*.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 (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y 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)) |
(* 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 (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y 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)) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)) |
(* t (+ 1 (* 1/8 (/ x t)))) |
(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) |
(* 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)) |
(* -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 (- (* -1/8 (/ x t)) 1))) |
(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) |
(* -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)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 63 |
| 0 | 32 | 63 |
| 1 | 139 | 59 |
| 2 | 994 | 59 |
| 0 | 8151 | 59 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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) |
(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) |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) |
(*.f64 (-.f64 (*.f64 t t) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 x #s(literal 1/8 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (neg.f64 t) t))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64)))))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (neg.f64 t) t)) (pow.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 t (*.f64 x #s(literal 1/8 binary64))))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64))))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) t)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) t)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (fma.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (*.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 t t) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 t (*.f64 x #s(literal 1/8 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (neg.f64 t) t)))) (neg.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (*.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t) (*.f64 t t))) (pow.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 t t) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))) (-.f64 t (*.f64 x #s(literal 1/8 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (neg.f64 t) t))) (neg.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 t t (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 t (*.f64 x #s(literal 1/8 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) t)))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (neg.f64 t) t)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t t (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 t (*.f64 x #s(literal 1/8 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 t (*.f64 x #s(literal 1/8 binary64))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 t (*.f64 x #s(literal 1/8 binary64))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) t)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) t))) |
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)))) |
(fma.f64 x #s(literal 1/8 binary64) t) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(-.f64 (/.f64 (*.f64 t t) (-.f64 t (*.f64 x #s(literal 1/8 binary64)))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 t (*.f64 x #s(literal 1/8 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (neg.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)))) |
(+.f64 t (*.f64 x #s(literal 1/8 binary64))) |
(+.f64 (*.f64 x #s(literal 1/8 binary64)) t) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)) |
(*.f64 (fma.f64 t t (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (neg.f64 t) t))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) t)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 t (-.f64 t (*.f64 (*.f64 #s(literal -1/2 binary64) y) z))))))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (neg.f64 t) t)) (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) t) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) t))))) |
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(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)) |
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) t)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (fma.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (*.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 t t) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 t (*.f64 x #s(literal 1/8 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (neg.f64 t) t)))) (neg.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (*.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t) (*.f64 t t))) (pow.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 t t) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))) (-.f64 t (*.f64 x #s(literal 1/8 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (neg.f64 t) t))) (neg.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 t t (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 t (*.f64 x #s(literal 1/8 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) t)))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (neg.f64 t) t)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t t (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 t (*.f64 x #s(literal 1/8 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 t (*.f64 x #s(literal 1/8 binary64))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 t (*.f64 x #s(literal 1/8 binary64))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) t)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) t))) |
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)))) |
(fma.f64 x #s(literal 1/8 binary64) t) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(-.f64 (/.f64 (*.f64 t t) (-.f64 t (*.f64 x #s(literal 1/8 binary64)))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 t (*.f64 x #s(literal 1/8 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (neg.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)))) |
(+.f64 t (*.f64 x #s(literal 1/8 binary64))) |
(+.f64 (*.f64 x #s(literal 1/8 binary64)) t) |
Compiled 10 327 to 962 computations (90.7% saved)
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 315 | 3 | 318 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 0 | 0 |
| Total | 316 | 5 | 321 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 68.2% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)) |
| ✓ | 67.6% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
| ▶ | 65.3% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))) |
| ▶ | 33.0% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x)) |
| ▶ | 34.5% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
Compiled 96 to 85 computations (11.5% saved)
| 1× | egg-herbie |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 1/8 binary64) x) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) | |
| cost-diff | 0 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))) | |
| 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 | (*.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 | 87 |
| 0 | 26 | 87 |
| 1 | 41 | 87 |
| 2 | 74 | 87 |
| 3 | 127 | 87 |
| 4 | 208 | 84 |
| 5 | 342 | 84 |
| 6 | 509 | 84 |
| 7 | 683 | 84 |
| 8 | 815 | 84 |
| 9 | 817 | 84 |
| 0 | 817 | 81 |
| 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) (*.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 -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) |
#s(literal -1/2 binary64) |
(*.f64 z y) |
z |
y |
(*.f64 #s(literal 1/8 binary64) x) |
#s(literal 1/8 binary64) |
x |
| 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) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(*.f64 (*.f64 z y) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 z y) |
z |
y |
#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) (*.f64 x #s(literal 1/8 binary64))) |
(*.f64 #s(literal 1/8 binary64) x) |
(*.f64 x #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
x |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))) |
#s(literal -1/2 binary64) |
(*.f64 z y) |
z |
y |
(*.f64 #s(literal 1/8 binary64) x) |
(*.f64 x #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
x |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0 | (*.f64 #s(literal 1/8 binary64) x) | |
| accuracy | 22.183001196311285 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))) | |
| accuracy | 0 | (*.f64 #s(literal 1/8 binary64) x) | |
| accuracy | 42.91031452996223 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x)) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) | |
| accuracy | 41.91409278360931 | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
| 27.0ms | 256× | 0 | valid |
Compiled 170 to 43 computations (74.7% saved)
ival-mult: 8.0ms (56% of total)ival-div: 3.0ms (21% of total)ival-add: 2.0ms (14% of total)ival-sub: 1.0ms (7% 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) (*.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) (*.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 -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) |
| Outputs |
|---|
(- t (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(* 1/8 x) |
(* -1/2 (* y z)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(+ t (* 1/8 x)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(* y z) |
(* 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 | t | @ | -inf | ((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z 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) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z 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) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z 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) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z 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) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* 1/8 x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 206 |
| 1 | 262 | 206 |
| 2 | 741 | 206 |
| 3 | 2064 | 206 |
| 4 | 5410 | 206 |
| 0 | 8194 | 176 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- t (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(* 1/8 x) |
(* -1/2 (* y z)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(+ t (* 1/8 x)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(* y z) |
(* 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) 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)) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* -1/2 (* y z)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.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 (*.f64 #s(literal -1/2 binary64) y) z (*.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 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x)) |
(+ t (* 1/8 x)) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t)) |
(* y z) |
(*.f64 z y) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t)) |
(* y (+ (* -1/2 z) (* 1/8 (/ x y)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x)) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x)) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t)) |
(* z (+ (* -1/2 y) (* 1/8 (/ x z)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x)) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x)) |
(- (* 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 |
(* 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 | 22 | 71 |
| 0 | 26 | 71 |
| 1 | 87 | 68 |
| 2 | 693 | 68 |
| 0 | 8511 | 65 |
| 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) (*.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 -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
(*.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(*.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))) |
(*.f64 (*.f64 z #s(literal 1/2 binary64)) (neg.f64 y)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) z) y) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) z)) |
(*.f64 (*.f64 (neg.f64 y) z) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z y)) |
(*.f64 (*.f64 z y) #s(literal -1/2 binary64)) |
(*.f64 z (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) |
(*.f64 z (neg.f64 (*.f64 y #s(literal 1/2 binary64)))) |
(*.f64 z (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 z (*.f64 #s(literal -1/2 binary64) y)) |
(*.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 (neg.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) z)) |
(/.f64 (neg.f64 y) (/.f64 #s(literal 2 binary64) z)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 z y))) |
(/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))))) |
(/.f64 (*.f64 (neg.f64 y) z) #s(literal 2 binary64)) |
(/.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 z y) #s(literal -1 binary64))) |
(/.f64 (*.f64 z y) #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 z y)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 z y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 z y))) |
(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))) |
(+.f64 #s(literal 0 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)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)) |
(*.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) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 x #s(literal 1/8 binary64)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 #s(literal -1/64 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))))) |
(*.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 x x) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (*.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/64 binary64) x (*.f64 #s(literal 1/16 binary64) (*.f64 z y)))))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) (*.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 x #s(literal 1/8 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 z y) #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))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 #s(literal -1/64 binary64) (*.f64 x x))) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/64 binary64) x (*.f64 #s(literal 1/16 binary64) (*.f64 z y))))) (*.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 x #s(literal 1/8 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/64 binary64) x (*.f64 #s(literal 1/16 binary64) (*.f64 z y))))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/64 binary64) x (*.f64 #s(literal 1/16 binary64) (*.f64 z y))))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 x #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 x #s(literal 1/8 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 x #s(literal 1/8 binary64)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 4 binary64))) (pow.f64 (*.f64 x (*.f64 #s(literal 1/16 binary64) (*.f64 z y))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) #s(literal -1 binary64))) (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 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 6 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 x (*.f64 #s(literal 1/16 binary64) (*.f64 z y))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 9 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 9 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/64 binary64) x (*.f64 #s(literal 1/16 binary64) (*.f64 z y))))) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 6 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 1/16 binary64) (*.f64 z y))) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 6 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/64 binary64) x (*.f64 #s(literal 1/16 binary64) (*.f64 z y))))) #s(literal -1 binary64))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (*.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 9 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 9 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/64 binary64) x (*.f64 #s(literal 1/16 binary64) (*.f64 z y))))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 6 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 6 binary64))) (pow.f64 (*.f64 x (*.f64 #s(literal 1/16 binary64) (*.f64 z y))) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 #s(literal -1/64 binary64) (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/64 binary64) x (*.f64 #s(literal 1/16 binary64) (*.f64 z y)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))) (*.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (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)))) (/.f64 (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))))) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))))) (+.f64 (/.f64 (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)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))))) |
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(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))))) |
(+.f64 (/.f64 (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)))) (neg.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/64 binary64) x (*.f64 #s(literal 1/16 binary64) (*.f64 z y)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/64 binary64) x (*.f64 #s(literal 1/16 binary64) (*.f64 z y)))))))) |
(+.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) (*.f64 x #s(literal 1/8 binary64))) |
Compiled 5 535 to 537 computations (90.3% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 166 | 0 | 166 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 2 | 2 |
| Total | 166 | 5 | 171 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 68.2% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)) |
| ✓ | 67.6% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
| ✓ | 65.3% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))) |
| ✓ | 33.0% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x)) |
| ✓ | 34.5% | #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) |
Compiled 214 to 123 computations (42.5% 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) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.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:
| 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))) |
| 3.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 3.0ms | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| 3.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | t |
| 100.0% | 1 | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| 100.0% | 1 | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 100.0% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 100.0% | 1 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 100.0% | 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) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))) |
| Outputs |
|---|
#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)) |
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))) |
9 calls:
| 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 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 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 | y |
| 2.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.4% | 3 | x |
| 86.4% | 4 | y |
| 85.2% | 4 | z |
| 89.4% | 3 | t |
| 80.7% | 5 | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| 86.5% | 3 | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 93.4% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 91.7% | 3 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 91.7% | 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) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z 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)) |
4 calls:
| 2.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 2.0ms | x |
| 2.0ms | (*.f64 y z) |
| 2.0ms | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.7% | 3 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 91.7% | 3 | (*.f64 y z) |
| 91.5% | 3 | x |
| 91.5% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
Compiled 14 to 24 computations (-71.4% 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))) |
6 calls:
| 2.0ms | 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 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 2.0ms | t |
| 2.0ms | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.7% | 3 | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 67.6% | 1 | t |
| 71.8% | 3 | x |
| 71.8% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 86.5% | 3 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 86.5% | 3 | (*.f64 y z) |
Compiled 26 to 40 computations (-53.8% 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)) |
| Outputs |
|---|
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) |
8 calls:
| 2.0ms | y |
| 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 | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 2.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.6% | 1 | x |
| 67.6% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 67.6% | 1 | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 67.6% | 1 | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| 67.6% | 1 | z |
| 67.6% | 1 | y |
| 67.6% | 1 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 67.6% | 1 | (*.f64 y z) |
Compiled 40 to 57 computations (-42.5% 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:
| 1.0ms | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 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 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 1.0ms | y |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.0% | 1 | z |
| 33.0% | 1 | x |
| 33.0% | 1 | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| 33.0% | 1 | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 33.0% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 33.0% | 1 | t |
| 33.0% | 1 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 33.0% | 1 | (*.f64 y z) |
| 33.0% | 1 | y |
Compiled 41 to 61 computations (-48.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.661115709046395e+28 | 7.527607751833855e+29 |
| 0.0ms | -4.62465753512479e+97 | -9.182581087667265e+96 |
Compiled 16 to 20 computations (-25% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9679339388955716e+108 | 4.879375859812909e+111 |
| 0.0ms | -9.693456219594486e-20 | -2.0482664403893597e-22 |
Compiled 16 to 20 computations (-25% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.8116676600532265e+131 | 2.6178680511473852e+138 |
| 0.0ms | -6.016407400757969e+88 | -1.902333082780446e+83 |
Compiled 16 to 20 computations (-25% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 236 |
| 1 | 61 | 236 |
| 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 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal -40000000000000002943034953908449993590304248608709827196983431605407036575208760808202718624612352 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal 49999999999999995716575428608 binary64)) #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 -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))))) |
(if (<=.f64 (*.f64 y z) #s(literal -2076918743413931/41538374868278621028243970633760768 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 2000000000000000067997983426005649189887949439425796095426861429675750543446401666585483232761466891842617344 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 -49999999999999999737683287595902466157897305225341087810970847365954154269153922568421376 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 499999999999999995414783701180638281843304424991242455992046113258834575832799818100521466993270785184801126587914991362494731124736 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 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal -40000000000000002943034953908449993590304248608709827196983431605407036575208760808202718624612352 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal 49999999999999995716575428608 binary64)) #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 -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))))) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal -40000000000000002943034953908449993590304248608709827196983431605407036575208760808202718624612352 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal 49999999999999995716575428608 binary64)) #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 -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))))) |
(if (<=.f64 (*.f64 y z) #s(literal -2076918743413931/41538374868278621028243970633760768 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 2000000000000000067997983426005649189887949439425796095426861429675750543446401666585483232761466891842617344 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 -49999999999999999737683287595902466157897305225341087810970847365954154269153922568421376 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 499999999999999995414783701180638281843304424991242455992046113258834575832799818100521466993270785184801126587914991362494731124736 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 -49999999999999999737683287595902466157897305225341087810970847365954154269153922568421376 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 499999999999999995414783701180638281843304424991242455992046113258834575832799818100521466993270785184801126587914991362494731124736 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 | 13 | 32 |
| 0 | 20 | 32 |
| 1 | 65 | 32 |
| 2 | 503 | 32 |
| 3 | 6469 | 32 |
| 0 | 8004 | 29 |
| 0 | 125 | 312 |
| 1 | 389 | 312 |
| 2 | 1035 | 312 |
| 3 | 2754 | 312 |
| 4 | 5705 | 312 |
| 5 | 7917 | 312 |
| 0 | 8103 | 261 |
| 0 | 87 | 211 |
| 1 | 241 | 211 |
| 2 | 633 | 211 |
| 3 | 1916 | 211 |
| 4 | 5135 | 211 |
| 0 | 8111 | 181 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 347 to 149 computations (57.1% saved)
(sort y z)
Compiled 600 to 186 computations (69% saved)
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