
Time bar (total: 6.0s)
| 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)
| 1.0s | 8 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
ival-div: 239.0ms (48.3% of total)ival-mult: 111.0ms (22.4% of total)ival-sub: 87.0ms (17.6% of total)ival-add: 38.0ms (7.7% of total)exact: 11.0ms (2.2% of total)ival-true: 6.0ms (1.2% of total)ival-assert: 3.0ms (0.6% of total)adjust: 0.0ms (0% of total)| 1× | egg-herbie |
| 704× | lower-fma.f64 |
| 704× | lower-fma.f32 |
| 664× | sub-neg |
| 350× | unsub-neg |
| 342× | distribute-lft-neg-in |
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 1/8 binary64) x (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) t)) |
(sort y z)
| 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 |
| 41.0ms | 512× | 0 | valid |
Compiled 132 to 56 computations (57.6% saved)
ival-mult: 8.0ms (38% of total)ival-div: 7.0ms (33.2% of total)ival-sub: 3.0ms (14.2% of total)ival-add: 2.0ms (9.5% of total)exact: 1.0ms (4.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 4 to 4 computations (0% 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 17 to 13 computations (23.5% 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)) |
| 704× | lower-fma.f64 |
| 704× | lower-fma.f32 |
| 320× | lower-*.f32 |
| 316× | lower-*.f64 |
| 160× | cancel-sign-sub-inv |
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 1/8 binary64) x (fma.f64 z (*.f64 y #s(literal -1/2 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 1/8 binary64) x (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
(*.f64 #s(literal 1/8 binary64) x) |
(/.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 z (*.f64 y #s(literal 1/2 binary64))) |
(*.f64 y z) |
y |
z |
#s(literal 2 binary64) |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| 22.0ms | 256× | 0 | valid |
Compiled 49 to 15 computations (69.4% saved)
ival-div: 4.0ms (36.8% of total)ival-mult: 4.0ms (36.8% of total)ival-sub: 1.0ms (9.2% of total)ival-add: 1.0ms (9.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) #s(literal 8 binary64))> |
#<alt (/.f64 (*.f64 y z) #s(literal 2 binary64))> |
#<alt (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)> |
#<alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))> |
#<alt (*.f64 y z)> |
| Outputs |
|---|
#<alt (* 1/2 (* y z))> |
#<alt (* 1/2 (* y z))> |
#<alt (* 1/2 (* y z))> |
#<alt (* 1/2 (* y z))> |
#<alt (* 1/2 (* y z))> |
#<alt (* 1/2 (* y z))> |
#<alt (* 1/2 (* y z))> |
#<alt (* 1/2 (* y z))> |
#<alt (* 1/2 (* y z))> |
#<alt (* 1/2 (* y z))> |
#<alt (* 1/2 (* y z))> |
#<alt (* 1/2 (* y z))> |
#<alt (* 1/2 (* y z))> |
#<alt (* 1/2 (* y z))> |
#<alt (* 1/2 (* y z))> |
#<alt (* 1/2 (* y z))> |
#<alt (* 1/2 (* y z))> |
#<alt (* 1/2 (* y z))> |
#<alt (* 1/2 (* y z))> |
#<alt (* 1/2 (* y z))> |
#<alt (* 1/2 (* y z))> |
#<alt (* 1/2 (* y z))> |
#<alt (* 1/2 (* y z))> |
#<alt (* 1/2 (* y z))> |
#<alt (- t (* 1/2 (* y z)))> |
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))> |
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))> |
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))> |
#<alt (* 1/8 x)> |
#<alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))> |
#<alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))> |
#<alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))> |
#<alt (* 1/8 x)> |
#<alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))> |
#<alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))> |
#<alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))> |
#<alt (+ t (* 1/8 x))> |
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))> |
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))> |
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))> |
#<alt (* -1/2 (* y z))> |
#<alt (* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))> |
#<alt (* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))> |
#<alt (* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))> |
#<alt (* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))> |
#<alt (* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))> |
#<alt (+ t (* 1/8 x))> |
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))> |
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))> |
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))> |
#<alt (* -1/2 (* y z))> |
#<alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))> |
#<alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))> |
#<alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))> |
#<alt (- (* 1/8 x) (* 1/2 (* y z)))> |
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))> |
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))> |
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))> |
#<alt t> |
#<alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))> |
#<alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))> |
#<alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))> |
#<alt t> |
#<alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))> |
#<alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))> |
#<alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))> |
#<alt (* -1/2 (* y z))> |
#<alt (- (* 1/8 x) (* 1/2 (* y z)))> |
#<alt (- (* 1/8 x) (* 1/2 (* y z)))> |
#<alt (- (* 1/8 x) (* 1/2 (* y z)))> |
#<alt (* 1/8 x)> |
#<alt (* x (+ 1/8 (* -1/2 (/ (* y z) x))))> |
#<alt (* x (+ 1/8 (* -1/2 (/ (* y z) x))))> |
#<alt (* x (+ 1/8 (* -1/2 (/ (* y z) x))))> |
#<alt (* 1/8 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))> |
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))> |
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))> |
#<alt (* 1/8 x)> |
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))> |
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))> |
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))> |
#<alt (* -1/2 (* y z))> |
#<alt (* y (- (* 1/8 (/ x y)) (* 1/2 z)))> |
#<alt (* y (- (* 1/8 (/ x y)) (* 1/2 z)))> |
#<alt (* y (- (* 1/8 (/ x y)) (* 1/2 z)))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))> |
#<alt (* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))> |
#<alt (* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))> |
#<alt (* 1/8 x)> |
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))> |
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))> |
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))> |
#<alt (* -1/2 (* y z))> |
#<alt (* z (- (* 1/8 (/ x z)) (* 1/2 y)))> |
#<alt (* z (- (* 1/8 (/ x z)) (* 1/2 y)))> |
#<alt (* z (- (* 1/8 (/ x z)) (* 1/2 y)))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))> |
#<alt (* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))> |
#<alt (* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | z | @ | 0 | (/ (* y z) 2) |
| 1.0ms | x | @ | inf | (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) |
| 1.0ms | y | @ | 0 | (/ (* y z) 2) |
| 1.0ms | y | @ | inf | (/ (* y z) 2) |
| 1.0ms | z | @ | inf | (/ (* y z) 2) |
| 1× | batch-egg-rewrite |
| 8 930× | lower-fma.f64 |
| 8 930× | lower-fma.f32 |
| 4 482× | lower-*.f32 |
| 4 478× | lower-*.f64 |
| 2 730× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 29 |
| 0 | 20 | 29 |
| 1 | 65 | 29 |
| 2 | 503 | 29 |
| 3 | 6469 | 29 |
| 0 | 8004 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) |
(/.f64 (*.f64 y z) #s(literal 2 binary64)) |
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
(*.f64 y z) |
| Outputs |
|---|
#s(literal 1/8 binary64) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y (*.f64 z #s(literal 1/2 binary64))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) |
(neg.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) |
(neg.f64 (*.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y z))) |
(/.f64 y (/.f64 #s(literal 2 binary64) z)) |
(/.f64 (*.f64 y z) #s(literal 2 binary64)) |
(/.f64 (*.f64 y (neg.f64 z)) #s(literal -2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 y z))) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) z)) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) z)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y z)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 1/2 binary64)))) |
(*.f64 y (*.f64 z #s(literal 1/2 binary64))) |
(*.f64 y (*.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 z (*.f64 y #s(literal 1/2 binary64))) |
(*.f64 z (*.f64 (neg.f64 y) #s(literal -1/2 binary64))) |
(*.f64 z (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y z) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 y (*.f64 z #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (neg.f64 z)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y z)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) |
(*.f64 (*.f64 z #s(literal 1/2 binary64)) y) |
(*.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 y #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 z) (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 z) (/.f64 y #s(literal -2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y (neg.f64 z))) |
(*.f64 (neg.f64 y) (*.f64 z #s(literal -1/2 binary64))) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) z) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y z)) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (neg.f64 y)) (*.f64 z #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 z #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/8 binary64) x) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)) |
(+.f64 (fma.f64 #s(literal 1/8 binary64) x (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) t) |
(+.f64 t (fma.f64 #s(literal 1/8 binary64) x (*.f64 y (*.f64 z #s(literal -1/2 binary64))))) |
(+.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/8 binary64) x t)) |
(+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/8 binary64) x (*.f64 y (*.f64 z #s(literal -1/2 binary64))))) (-.f64 (*.f64 #s(literal 1/8 binary64) x) (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) t))) (neg.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 #s(literal 1/8 binary64) x) (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) t))))) |
(+.f64 (fma.f64 #s(literal 1/8 binary64) x t) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) |
(+.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) (*.f64 #s(literal 1/8 binary64) x)) |
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(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (*.f64 (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) (*.f64 (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)))) (*.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 y (*.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)))) (-.f64 (*.f64 y (*.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)))) (*.f64 x (*.f64 x #s(literal 1/64 binary64)))) (*.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 y (*.f64 z (*.f64 #s(literal 1/4 binary64) (*.f64 y z)))) (*.f64 (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)))))) (fma.f64 x (*.f64 x #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (*.f64 y (*.f64 z #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64))))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 z))) |
(neg.f64 (*.f64 y (neg.f64 z))) |
(*.f64 #s(literal 1 binary64) (*.f64 y z)) |
(*.f64 y z) |
(*.f64 y (neg.f64 (neg.f64 z))) |
(*.f64 y (*.f64 z #s(literal 1 binary64))) |
(*.f64 z y) |
(*.f64 z (neg.f64 (neg.f64 y))) |
(*.f64 z (*.f64 y #s(literal 1 binary64))) |
(*.f64 (*.f64 y z) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 z))) |
(*.f64 (neg.f64 z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (neg.f64 z)) |
(*.f64 (neg.f64 (neg.f64 z)) y) |
(*.f64 (neg.f64 (neg.f64 y)) z) |
(*.f64 (*.f64 #s(literal 1 binary64) y) z) |
(*.f64 (*.f64 #s(literal 1 binary64) z) y) |
| 1× | egg-herbie |
| 10 994× | lower-fma.f64 |
| 10 994× | lower-fma.f32 |
| 2 884× | lower-*.f64 |
| 2 884× | lower-*.f32 |
| 1 240× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 922 |
| 1 | 241 | 922 |
| 2 | 633 | 922 |
| 3 | 1919 | 922 |
| 4 | 5140 | 922 |
| 0 | 8110 | 819 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(* 1/2 (* y z)) |
(- t (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(* 1/8 x) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(* 1/8 x) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(+ t (* 1/8 x)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(* -1/2 (* y z)) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(* -1/2 (* y z)) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(+ t (* 1/8 x)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(* -1/2 (* y z)) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(* -1/2 (* y z)) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
t |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
t |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(* -1/2 (* y z)) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(* 1/8 x) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(* 1/8 x) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(* 1/8 x) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(* -1/2 (* y z)) |
(* y (- (* 1/8 (/ x y)) (* 1/2 z))) |
(* y (- (* 1/8 (/ x y)) (* 1/2 z))) |
(* y (- (* 1/8 (/ x y)) (* 1/2 z))) |
(* -1/2 (* y z)) |
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z)))) |
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z)))) |
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z)))) |
(* 1/8 x) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(* -1/2 (* y z)) |
(* z (- (* 1/8 (/ x z)) (* 1/2 y))) |
(* z (- (* 1/8 (/ x z)) (* 1/2 y))) |
(* z (- (* 1/8 (/ x z)) (* 1/2 y))) |
(* -1/2 (* y z)) |
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y)))) |
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y)))) |
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
| Outputs |
|---|
(* 1/2 (* y z)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y z)) |
(* 1/2 (* y z)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y z)) |
(* 1/2 (* y z)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y z)) |
(* 1/2 (* y z)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y z)) |
(* 1/2 (* y z)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y z)) |
(* 1/2 (* y z)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y z)) |
(* 1/2 (* y z)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y z)) |
(* 1/2 (* y z)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y z)) |
(* 1/2 (* y z)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y z)) |
(* 1/2 (* y z)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y z)) |
(* 1/2 (* y z)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y z)) |
(* 1/2 (* y z)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y z)) |
(* 1/2 (* y z)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y z)) |
(* 1/2 (* y z)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y z)) |
(* 1/2 (* y z)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y z)) |
(* 1/2 (* y z)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y z)) |
(* 1/2 (* y z)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y z)) |
(* 1/2 (* y z)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y z)) |
(* 1/2 (* y z)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y z)) |
(* 1/2 (* y z)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y z)) |
(* 1/2 (* y z)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y z)) |
(* 1/2 (* y z)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y z)) |
(* 1/2 (* y z)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y z)) |
(* 1/2 (* y z)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y z)) |
(- t (* 1/2 (* y z))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (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 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(+ t (* 1/8 x)) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z)))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(+ t (* 1/8 x)) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y)))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(- (+ t (* 1/8 x)) (* 1/2 (* y z))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
t |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
t |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(- (* 1/8 x) (* 1/2 (* y z))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* y (- (* 1/8 (/ x y)) (* 1/2 z))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(* y (- (* 1/8 (/ x y)) (* 1/2 z))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(* y (- (* 1/8 (/ x y)) (* 1/2 z))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z)))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z)))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z)))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* z (- (* 1/8 (/ x z)) (* 1/2 y))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(* z (- (* 1/8 (/ x z)) (* 1/2 y))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(* z (- (* 1/8 (/ x z)) (* 1/2 y))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y)))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y)))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y)))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
Compiled 11 603 to 844 computations (92.7% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 399 | 6 | 405 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 400 | 6 | 406 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) |
| 67.2% | (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) | |
| ▶ | 67.0% | (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) |
| ▶ | 67.1% | (fma.f64 #s(literal 1/8 binary64) x t) |
| ▶ | 34.5% | (*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
| ▶ | 35.1% | (*.f64 #s(literal 1/8 binary64) x) |
Compiled 118 to 88 computations (25.4% saved)
| 1× | egg-herbie |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 z #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) |
| ✓ | cost-diff | 0 | (*.f64 z #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/8 binary64) x t) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/8 binary64) x) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/8 binary64) x t) |
| ✓ | cost-diff | 0 | (*.f64 z #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) |
| 48× | lower-fma.f32 |
| 42× | lower-fma.f64 |
| 28× | lower-*.f32 |
| 24× | lower-+.f64 |
| 24× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 58 |
| 0 | 19 | 58 |
| 1 | 32 | 58 |
| 2 | 43 | 58 |
| 0 | 43 | 58 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) |
(*.f64 z #s(literal -1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
y |
(fma.f64 #s(literal 1/8 binary64) x t) |
#s(literal 1/8 binary64) |
x |
t |
(*.f64 #s(literal 1/8 binary64) x) |
#s(literal 1/8 binary64) |
x |
(fma.f64 #s(literal 1/8 binary64) x t) |
#s(literal 1/8 binary64) |
x |
t |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
y |
(*.f64 z #s(literal -1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) |
y |
(*.f64 z #s(literal -1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
t |
| Outputs |
|---|
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal 1/8 binary64) x t)) |
(*.f64 z #s(literal -1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
y |
(fma.f64 #s(literal 1/8 binary64) x t) |
#s(literal 1/8 binary64) |
x |
t |
(*.f64 #s(literal 1/8 binary64) x) |
#s(literal 1/8 binary64) |
x |
(fma.f64 #s(literal 1/8 binary64) x t) |
#s(literal 1/8 binary64) |
x |
t |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(*.f64 z (*.f64 #s(literal -1/2 binary64) y)) |
y |
(*.f64 z #s(literal -1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t) |
y |
(*.f64 z #s(literal -1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
t |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) |
| ✓ | accuracy | 100.0% | (*.f64 z #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 z #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 1/8 binary64) x t) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/8 binary64) x) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 1/8 binary64) x t) |
| ✓ | accuracy | 100.0% | (*.f64 z #s(literal -1/2 binary64)) |
| 24.0ms | 256× | 0 | valid |
Compiled 65 to 15 computations (76.9% saved)
ival-mult: 6.0ms (57.1% of total)ival-add: 3.0ms (28.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t))> |
#<alt (*.f64 z #s(literal -1/2 binary64))> |
#<alt (fma.f64 #s(literal 1/8 binary64) x t)> |
#<alt (*.f64 #s(literal 1/8 binary64) x)> |
#<alt (*.f64 y (*.f64 z #s(literal -1/2 binary64)))> |
#<alt (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)> |
| Outputs |
|---|
#<alt (+ t (* 1/8 x))> |
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))> |
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))> |
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))> |
#<alt (* -1/2 (* y z))> |
#<alt (* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))> |
#<alt (* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))> |
#<alt (* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))> |
#<alt (+ t (* 1/8 x))> |
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))> |
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))> |
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))> |
#<alt (* -1/2 (* y z))> |
#<alt (* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))> |
#<alt (* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))> |
#<alt (* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))> |
#<alt (* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))> |
#<alt (+ t (* -1/2 (* y z)))> |
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))> |
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))> |
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))> |
#<alt (* 1/8 x)> |
#<alt (* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))> |
#<alt (* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))> |
#<alt (* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))> |
#<alt (* 1/8 x)> |
#<alt (* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))> |
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))> |
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))> |
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))> |
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))> |
#<alt t> |
#<alt (* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))> |
#<alt (* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))> |
#<alt (* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))> |
#<alt t> |
#<alt (* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))> |
#<alt (* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))> |
#<alt (* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt t> |
#<alt (+ t (* 1/8 x))> |
#<alt (+ t (* 1/8 x))> |
#<alt (+ t (* 1/8 x))> |
#<alt (* 1/8 x)> |
#<alt (* x (+ 1/8 (/ t x)))> |
#<alt (* x (+ 1/8 (/ t x)))> |
#<alt (* x (+ 1/8 (/ t x)))> |
#<alt (* 1/8 x)> |
#<alt (* -1 (* x (- (* -1 (/ t x)) 1/8)))> |
#<alt (* -1 (* x (- (* -1 (/ t x)) 1/8)))> |
#<alt (* -1 (* x (- (* -1 (/ t x)) 1/8)))> |
#<alt (* 1/8 x)> |
#<alt (+ t (* 1/8 x))> |
#<alt (+ t (* 1/8 x))> |
#<alt (+ t (* 1/8 x))> |
#<alt t> |
#<alt (* t (+ 1 (* 1/8 (/ x t))))> |
#<alt (* t (+ 1 (* 1/8 (/ x t))))> |
#<alt (* t (+ 1 (* 1/8 (/ x t))))> |
#<alt t> |
#<alt (* -1 (* t (- (* -1/8 (/ x t)) 1)))> |
#<alt (* -1 (* t (- (* -1/8 (/ x t)) 1)))> |
#<alt (* -1 (* t (- (* -1/8 (/ x t)) 1)))> |
#<alt (* 1/8 x)> |
#<alt (* 1/8 x)> |
#<alt (* 1/8 x)> |
#<alt (* 1/8 x)> |
#<alt (* 1/8 x)> |
#<alt (* 1/8 x)> |
#<alt (* 1/8 x)> |
#<alt (* 1/8 x)> |
#<alt (* 1/8 x)> |
#<alt (* 1/8 x)> |
#<alt (* 1/8 x)> |
#<alt (* 1/8 x)> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt t> |
#<alt (+ t (* -1/2 (* y z)))> |
#<alt (+ t (* -1/2 (* y z)))> |
#<alt (+ t (* -1/2 (* y z)))> |
#<alt (* -1/2 (* y z))> |
#<alt (* y (+ (* -1/2 z) (/ t y)))> |
#<alt (* y (+ (* -1/2 z) (/ t y)))> |
#<alt (* y (+ (* -1/2 z) (/ t y)))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))> |
#<alt (* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))> |
#<alt (* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))> |
#<alt t> |
#<alt (+ t (* -1/2 (* y z)))> |
#<alt (+ t (* -1/2 (* y z)))> |
#<alt (+ t (* -1/2 (* y z)))> |
#<alt (* -1/2 (* y z))> |
#<alt (* z (+ (* -1/2 y) (/ t z)))> |
#<alt (* z (+ (* -1/2 y) (/ t z)))> |
#<alt (* z (+ (* -1/2 y) (/ t z)))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))> |
#<alt (* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))> |
#<alt (* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))> |
#<alt (* -1/2 (* y z))> |
#<alt (+ t (* -1/2 (* y z)))> |
#<alt (+ t (* -1/2 (* y z)))> |
#<alt (+ t (* -1/2 (* y z)))> |
#<alt t> |
#<alt (* t (+ 1 (* -1/2 (/ (* y z) t))))> |
#<alt (* t (+ 1 (* -1/2 (/ (* y z) t))))> |
#<alt (* t (+ 1 (* -1/2 (/ (* y z) t))))> |
#<alt t> |
#<alt (* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))> |
#<alt (* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))> |
#<alt (* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (+ (* y (* z -1/2)) t) |
| 0.0ms | x | @ | inf | (* 1/8 x) |
| 0.0ms | z | @ | -inf | (* z -1/2) |
| 0.0ms | x | @ | -inf | (* 1/8 x) |
| 0.0ms | z | @ | inf | (* z -1/2) |
| 1× | batch-egg-rewrite |
| 12 496× | lower-fma.f32 |
| 12 490× | lower-fma.f64 |
| 5 530× | lower-*.f32 |
| 5 524× | lower-*.f64 |
| 3 122× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 30 |
| 0 | 19 | 30 |
| 1 | 72 | 30 |
| 2 | 518 | 30 |
| 3 | 7406 | 30 |
| 0 | 8662 | 30 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) |
(*.f64 z #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(*.f64 #s(literal 1/8 binary64) x) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) |
| Outputs |
|---|
(+.f64 t (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x))) |
(+.f64 (fma.f64 #s(literal 1/8 binary64) x t) (*.f64 z (*.f64 #s(literal -1/2 binary64) y))) |
(+.f64 (*.f64 #s(literal 1/8 binary64) x) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t)) |
(+.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t) (*.f64 #s(literal 1/8 binary64) x)) |
(+.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 #s(literal 1/8 binary64) x t)) |
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y)))) (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y))))) #s(literal 1/64 binary64)) (*.f64 t (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) (*.f64 (fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (*.f64 t t)) (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (*.f64 t (*.f64 t t))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y)))) (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y))))) #s(literal 1/64 binary64)) (*.f64 t (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) (*.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (fma.f64 (*.f64 t t) (fma.f64 z (*.f64 y (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t t)) (*.f64 (*.f64 (*.f64 z (*.f64 y (*.f64 z y))) (*.f64 z (*.f64 y (*.f64 z y)))) #s(literal 1/16 binary64))))) |
(/.f64 (-.f64 (*.f64 t t) (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y)))) (+.f64 t (*.f64 (*.f64 z y) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z (*.f64 y (*.f64 z y))) (*.f64 z (*.f64 y (*.f64 z y)))) #s(literal 1/16 binary64)) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (fma.f64 z (*.f64 y (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t t)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))) (*.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (*.f64 t t))) (*.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y)))) (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y))))) #s(literal 1/64 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 t (*.f64 t t)) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y)))) (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y))))) #s(literal 1/64 binary64))) (fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (*.f64 t t)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y)))) (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y))))) #s(literal 1/64 binary64)) (*.f64 t (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (*.f64 t (*.f64 t t))) (fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (*.f64 t t)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y)))) (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y))))) #s(literal 1/64 binary64)) (*.f64 t (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 z (*.f64 y (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t t)) (*.f64 (*.f64 (*.f64 z (*.f64 y (*.f64 z y))) (*.f64 z (*.f64 y (*.f64 z y)))) #s(literal 1/16 binary64))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 z (*.f64 y (*.f64 z y))) (*.f64 z (*.f64 y (*.f64 z y)))) #s(literal 1/16 binary64)) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 1 binary64)) (*.f64 (fma.f64 z (*.f64 y (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t t)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 t (*.f64 t t) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (*.f64 t t))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t t)))) (neg.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) (neg.f64 (neg.f64 t))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 t t) (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))))) (neg.f64 (+.f64 t (*.f64 (*.f64 z y) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 t t) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))) (/.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))) (fma.f64 (/.f64 (*.f64 t t) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))) (/.f64 (*.f64 t t) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))) (*.f64 (/.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))) (/.f64 (*.f64 t t) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))) (/.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)))) (*.f64 (/.f64 (*.f64 t t) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))) (/.f64 (*.f64 t t) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))))) (fma.f64 (*.f64 z y) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))) (/.f64 (*.f64 t t) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))))) |
(/.f64 (*.f64 (fma.f64 t (*.f64 t t) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))) #s(literal 1 binary64)) (fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (*.f64 t t))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t t)) #s(literal 1 binary64)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))) |
(/.f64 (*.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y)))) (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y))))) #s(literal 1/64 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (*.f64 t t)))) (fma.f64 (*.f64 t (*.f64 t t)) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y)))) (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y))))) #s(literal 1/64 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y)))) (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y))))) #s(literal 1/64 binary64)) (*.f64 t (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (*.f64 t t)))) (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (*.f64 t (*.f64 t t)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y)))) (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y))))) #s(literal 1/64 binary64)) (*.f64 t (*.f64 (*.f64 t t) (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)))) (fma.f64 (*.f64 t t) (fma.f64 z (*.f64 y (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t t)) (*.f64 (*.f64 (*.f64 z (*.f64 y (*.f64 z y))) (*.f64 z (*.f64 y (*.f64 z y)))) #s(literal 1/16 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 z (*.f64 y (*.f64 z y))) (*.f64 z (*.f64 y (*.f64 z y)))) #s(literal 1/16 binary64)) (*.f64 t (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)))) (fma.f64 z (*.f64 y (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t t))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t) (*.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))))) |
(*.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t) (/.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)))) |
(*.f64 (fma.f64 t (*.f64 t t) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (*.f64 t t)))) |
(*.f64 (fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (*.f64 t t)) (*.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (*.f64 t t))))) |
(*.f64 (fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (*.f64 t t)) (/.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t) (fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (*.f64 t t)))) |
(*.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)))) |
(*.f64 (neg.f64 (fma.f64 t (*.f64 t t) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (*.f64 t t))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) (neg.f64 (neg.f64 t))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (*.f64 t t))) (fma.f64 t (*.f64 t t) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t))) (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t t))) |
(*.f64 (-.f64 (*.f64 t t) (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (+.f64 t (*.f64 (*.f64 z y) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t t)) (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t t))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t)) |
(*.f64 (/.f64 (fma.f64 t (*.f64 t t) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))) (fma.f64 (*.f64 t (+.f64 t (*.f64 (*.f64 z y) #s(literal 1/2 binary64)))) (*.f64 (*.f64 t (+.f64 t (*.f64 (*.f64 z y) #s(literal 1/2 binary64)))) (*.f64 t (+.f64 t (*.f64 (*.f64 z y) #s(literal 1/2 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y)))) (*.f64 (*.f64 z y) (*.f64 z (*.f64 y (*.f64 z y))))) #s(literal 1/64 binary64)))) (fma.f64 (*.f64 t (+.f64 t (*.f64 (*.f64 z y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 t (+.f64 t (*.f64 (*.f64 z y) #s(literal 1/2 binary64)))) (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y)))) (*.f64 (*.f64 (*.f64 z (*.f64 y (*.f64 z y))) (*.f64 z (*.f64 y (*.f64 z y)))) #s(literal 1/16 binary64)))) |
(*.f64 (/.f64 (fma.f64 t (*.f64 t t) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))) (*.f64 (fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 t)) (*.f64 t t)) (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t (+.f64 t (*.f64 (*.f64 z y) #s(literal 1/2 binary64))))))) (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t (+.f64 t (*.f64 (*.f64 z y) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))) (*.f64 t t)) (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (*.f64 t (*.f64 t t)))) (fma.f64 t (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t) (*.f64 (*.f64 z y) (*.f64 #s(literal 1/4 binary64) (*.f64 z y))))) |
| 1× | egg-herbie |
| 6 462× | lower-fma.f64 |
| 6 462× | lower-fma.f32 |
| 2 736× | lower-*.f64 |
| 2 736× | lower-*.f32 |
| 2 114× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 962 |
| 1 | 300 | 962 |
| 2 | 848 | 962 |
| 3 | 2172 | 962 |
| 4 | 5361 | 962 |
| 5 | 7439 | 962 |
| 0 | 8200 | 841 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ t (* 1/8 x)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(* -1/2 (* y z)) |
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z)))) |
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z)))) |
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z)))) |
(* -1/2 (* y z)) |
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y)))) |
(+ t (* 1/8 x)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(* -1/2 (* y z)) |
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y)))) |
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y)))) |
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y)))) |
(* -1/2 (* y z)) |
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z)))) |
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z)))) |
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z)))) |
(+ t (* -1/2 (* y z))) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(* 1/8 x) |
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x)))) |
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x)))) |
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x)))) |
(* 1/8 x) |
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8))) |
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8))) |
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8))) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
t |
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t))))) |
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t))))) |
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t))))) |
t |
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1))) |
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1))) |
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1))) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
t |
(+ t (* 1/8 x)) |
(+ t (* 1/8 x)) |
(+ t (* 1/8 x)) |
(* 1/8 x) |
(* x (+ 1/8 (/ t x))) |
(* x (+ 1/8 (/ t x))) |
(* x (+ 1/8 (/ t x))) |
(* 1/8 x) |
(* -1 (* x (- (* -1 (/ t x)) 1/8))) |
(* -1 (* x (- (* -1 (/ t x)) 1/8))) |
(* -1 (* x (- (* -1 (/ t x)) 1/8))) |
(* 1/8 x) |
(+ t (* 1/8 x)) |
(+ t (* 1/8 x)) |
(+ t (* 1/8 x)) |
t |
(* t (+ 1 (* 1/8 (/ x t)))) |
(* t (+ 1 (* 1/8 (/ x t)))) |
(* t (+ 1 (* 1/8 (/ x t)))) |
t |
(* -1 (* t (- (* -1/8 (/ x t)) 1))) |
(* -1 (* t (- (* -1/8 (/ x t)) 1))) |
(* -1 (* t (- (* -1/8 (/ x t)) 1))) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
t |
(+ t (* -1/2 (* y z))) |
(+ t (* -1/2 (* y z))) |
(+ t (* -1/2 (* y z))) |
(* -1/2 (* y z)) |
(* y (+ (* -1/2 z) (/ t y))) |
(* y (+ (* -1/2 z) (/ t y))) |
(* y (+ (* -1/2 z) (/ t y))) |
(* -1/2 (* y z)) |
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z)))) |
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z)))) |
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z)))) |
t |
(+ t (* -1/2 (* y z))) |
(+ t (* -1/2 (* y z))) |
(+ t (* -1/2 (* y z))) |
(* -1/2 (* y z)) |
(* z (+ (* -1/2 y) (/ t z))) |
(* z (+ (* -1/2 y) (/ t z))) |
(* z (+ (* -1/2 y) (/ t z))) |
(* -1/2 (* y z)) |
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y)))) |
(* -1/2 (* y z)) |
(+ t (* -1/2 (* y z))) |
(+ t (* -1/2 (* y z))) |
(+ t (* -1/2 (* y z))) |
t |
(* t (+ 1 (* -1/2 (/ (* y z) t)))) |
(* t (+ 1 (* -1/2 (/ (* y z) t)))) |
(* t (+ 1 (* -1/2 (/ (* y z) t)))) |
t |
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1))) |
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1))) |
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1))) |
| Outputs |
|---|
(+ t (* 1/8 x)) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(+ t (* 1/8 x)) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(+ t (* -1/2 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 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 y z) (*.f64 #s(literal 1/8 binary64) x)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(+ t (+ (* -1/2 (* y z)) (* 1/8 x))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
t |
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
t |
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t)) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
t |
(+ t (* 1/8 x)) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(+ t (* 1/8 x)) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(+ t (* 1/8 x)) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* x (+ 1/8 (/ t x))) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(* x (+ 1/8 (/ t x))) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(* x (+ 1/8 (/ t x))) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* -1 (* x (- (* -1 (/ t x)) 1/8))) |
(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 x)) 1/8))) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(+ t (* 1/8 x)) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(+ t (* 1/8 x)) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(+ t (* 1/8 x)) |
(fma.f64 #s(literal 1/8 binary64) x t) |
t |
(* t (+ 1 (* 1/8 (/ x t)))) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(* t (+ 1 (* 1/8 (/ x t)))) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(* t (+ 1 (* 1/8 (/ x t)))) |
(fma.f64 #s(literal 1/8 binary64) x t) |
t |
(* -1 (* t (- (* -1/8 (/ x t)) 1))) |
(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 (- (* -1/8 (/ x t)) 1))) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
t |
(+ t (* -1/2 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t) |
(+ t (* -1/2 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t) |
(+ t (* -1/2 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* y (+ (* -1/2 z) (/ t y))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t) |
(* y (+ (* -1/2 z) (/ t y))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t) |
(* y (+ (* -1/2 z) (/ t y))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t) |
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t) |
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t) |
t |
(+ t (* -1/2 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t) |
(+ t (* -1/2 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t) |
(+ t (* -1/2 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* z (+ (* -1/2 y) (/ t z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t) |
(* z (+ (* -1/2 y) (/ t z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t) |
(* z (+ (* -1/2 y) (/ t z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t) |
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t) |
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(+ t (* -1/2 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t) |
(+ t (* -1/2 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t) |
(+ t (* -1/2 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t) |
t |
(* t (+ 1 (* -1/2 (/ (* y z) t)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t) |
(* t (+ 1 (* -1/2 (/ (* y z) t)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t) |
(* t (+ 1 (* -1/2 (/ (* y z) t)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t) |
t |
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t) |
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t) |
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t) |
Compiled 14 741 to 783 computations (94.7% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 546 | 1 | 547 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 547 | 6 | 553 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) |
| ▶ | 67.2% | (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (*.f64 #s(literal 1/8 binary64) x)) |
| ✓ | 67.0% | (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) |
| ✓ | 67.1% | (fma.f64 #s(literal 1/8 binary64) x t) |
| ✓ | 34.5% | (*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
| ✓ | 35.1% | (*.f64 #s(literal 1/8 binary64) x) |
Compiled 59 to 44 computations (25.4% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/8 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 z #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (*.f64 #s(literal 1/8 binary64) x)) |
| 28× | lower-*.f32 |
| 24× | lower-*.f64 |
| 16× | lower-fma.f32 |
| 14× | lower-fma.f64 |
| 12× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 12 | 19 |
| 1 | 18 | 19 |
| 2 | 25 | 19 |
| 3 | 27 | 19 |
| 0 | 27 | 19 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (*.f64 #s(literal 1/8 binary64) x)) |
(*.f64 z #s(literal -1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
y |
(*.f64 #s(literal 1/8 binary64) x) |
#s(literal 1/8 binary64) |
x |
| Outputs |
|---|
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (*.f64 #s(literal 1/8 binary64) x)) |
(fma.f64 #s(literal 1/8 binary64) x (*.f64 z (*.f64 #s(literal -1/2 binary64) y))) |
(*.f64 z #s(literal -1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
y |
(*.f64 #s(literal 1/8 binary64) x) |
#s(literal 1/8 binary64) |
x |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (*.f64 #s(literal 1/8 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 z #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/8 binary64) x) |
| 14.0ms | 256× | 0 | valid |
Compiled 22 to 12 computations (45.5% saved)
ival-mult: 5.0ms (78% of total)ival-add: 1.0ms (15.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (*.f64 #s(literal 1/8 binary64) x))> |
#<alt (*.f64 z #s(literal -1/2 binary64))> |
#<alt (*.f64 #s(literal 1/8 binary64) x)> |
| Outputs |
|---|
#<alt (* 1/8 x)> |
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))> |
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))> |
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))> |
#<alt (* -1/2 (* y z))> |
#<alt (* z (+ (* -1/2 y) (* 1/8 (/ x z))))> |
#<alt (* z (+ (* -1/2 y) (* 1/8 (/ x z))))> |
#<alt (* z (+ (* -1/2 y) (* 1/8 (/ x z))))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))> |
#<alt (* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))> |
#<alt (* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))> |
#<alt (* 1/8 x)> |
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))> |
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))> |
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))> |
#<alt (* -1/2 (* y z))> |
#<alt (* y (+ (* -1/2 z) (* 1/8 (/ x y))))> |
#<alt (* y (+ (* -1/2 z) (* 1/8 (/ x y))))> |
#<alt (* y (+ (* -1/2 z) (* 1/8 (/ x y))))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))> |
#<alt (* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))> |
#<alt (* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))> |
#<alt (* -1/2 (* y z))> |
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))> |
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))> |
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))> |
#<alt (* 1/8 x)> |
#<alt (* x (+ 1/8 (* -1/2 (/ (* y z) x))))> |
#<alt (* x (+ 1/8 (* -1/2 (/ (* y z) x))))> |
#<alt (* x (+ 1/8 (* -1/2 (/ (* y z) x))))> |
#<alt (* 1/8 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))> |
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))> |
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* 1/8 x)> |
#<alt (* 1/8 x)> |
#<alt (* 1/8 x)> |
#<alt (* 1/8 x)> |
#<alt (* 1/8 x)> |
#<alt (* 1/8 x)> |
#<alt (* 1/8 x)> |
#<alt (* 1/8 x)> |
#<alt (* 1/8 x)> |
#<alt (* 1/8 x)> |
#<alt (* 1/8 x)> |
#<alt (* 1/8 x)> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (+ (* (* z -1/2) y) (* 1/8 x)) |
| 0.0ms | z | @ | inf | (+ (* (* z -1/2) y) (* 1/8 x)) |
| 0.0ms | z | @ | 0 | (+ (* (* z -1/2) y) (* 1/8 x)) |
| 0.0ms | x | @ | inf | (+ (* (* z -1/2) y) (* 1/8 x)) |
| 0.0ms | z | @ | -inf | (+ (* (* z -1/2) y) (* 1/8 x)) |
| 1× | batch-egg-rewrite |
| 14 462× | lower-fma.f32 |
| 14 460× | lower-fma.f64 |
| 5 120× | lower-*.f32 |
| 5 116× | lower-*.f64 |
| 3 620× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 14 |
| 0 | 12 | 14 |
| 1 | 31 | 14 |
| 2 | 209 | 14 |
| 3 | 2174 | 14 |
| 0 | 8330 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (*.f64 #s(literal 1/8 binary64) x)) |
(*.f64 z #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/8 binary64) x) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 (*.f64 z #s(literal -1/2 binary64)) y)) |
(+.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (*.f64 #s(literal 1/8 binary64) x)) |
(+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64)))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/64 binary64))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64)))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/64 binary64))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/64 binary64))) (fma.f64 #s(literal 1/8 binary64) x (*.f64 (*.f64 z y) #s(literal 1/2 binary64)))) (/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 1/8 binary64) x (*.f64 (*.f64 z y) #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64)))) (fma.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/262144 binary64))) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64)))) (fma.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/64 binary64))) (fma.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64))))))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/262144 binary64))) (fma.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/64 binary64))) (fma.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64))))))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64))))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64)))) (/.f64 (/.f64 (*.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64))))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64)))))) (/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) (neg.f64 (*.f64 x #s(literal -1/8 binary64))))) (/.f64 (fma.f64 z (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) z) (*.f64 (*.f64 x x) #s(literal -1/64 binary64))) (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) (neg.f64 (*.f64 x #s(literal -1/8 binary64)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64)))) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/262144 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64)))) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (fma.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/64 binary64))) (fma.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64)))))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/262144 binary64))) (*.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (fma.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/64 binary64))) (fma.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64))))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (fma.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64)))))) (/.f64 (*.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (fma.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64)))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64)))) (*.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))))) (/.f64 (*.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64)))) (*.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64)))))) |
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(*.f64 (/.f64 (fma.f64 z (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) z) (*.f64 (*.f64 x x) #s(literal -1/64 binary64))) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64)))) (fma.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (*.f64 x (fma.f64 x #s(literal 1/64 binary64) (*.f64 (*.f64 z y) #s(literal -1/16 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/262144 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/64 binary64))) (fma.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64)))))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (*.f64 (fma.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64)))) (fma.f64 z (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) z) (*.f64 (*.f64 x x) #s(literal -1/64 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64)))) (fma.f64 #s(literal 1/134217728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) #s(literal -1/512 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/8 binary64))) (*.f64 x (*.f64 x #s(literal 1/64 binary64)))) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/262144 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64))))) |
(*.f64 z #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) z) |
(exp.f64 (log.f64 (*.f64 #s(literal 1/8 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64))) |
(pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/8 binary64) x) |
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 x #s(literal 1/8 binary64)) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 1/8 binary64)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 1/8 binary64)))) |
(*.f64 (exp.f64 (log.f64 #s(literal 1/8 binary64))) (exp.f64 (log.f64 x))) |
| 1× | egg-herbie |
| 5 966× | lower-fma.f64 |
| 5 966× | lower-fma.f32 |
| 3 628× | lower-*.f64 |
| 3 628× | lower-*.f32 |
| 1 926× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 352 |
| 1 | 119 | 352 |
| 2 | 327 | 352 |
| 3 | 759 | 352 |
| 4 | 1495 | 352 |
| 5 | 3111 | 352 |
| 6 | 5780 | 352 |
| 0 | 8138 | 325 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/8 x) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(* -1/2 (* y z)) |
(* z (+ (* -1/2 y) (* 1/8 (/ x z)))) |
(* z (+ (* -1/2 y) (* 1/8 (/ x z)))) |
(* z (+ (* -1/2 y) (* 1/8 (/ x z)))) |
(* -1/2 (* y z)) |
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y)))) |
(* 1/8 x) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(* -1/2 (* y z)) |
(* y (+ (* -1/2 z) (* 1/8 (/ x y)))) |
(* y (+ (* -1/2 z) (* 1/8 (/ x y)))) |
(* y (+ (* -1/2 z) (* 1/8 (/ x y)))) |
(* -1/2 (* y z)) |
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z)))) |
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z)))) |
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z)))) |
(* -1/2 (* y z)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(* 1/8 x) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(* 1/8 x) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
| Outputs |
|---|
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* z (+ (* -1/2 y) (* 1/8 (/ x z)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)) |
(* z (+ (* -1/2 y) (* 1/8 (/ x z)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)) |
(* z (+ (* -1/2 y) (* 1/8 (/ x z)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)) |
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)) |
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* y (+ (* -1/2 z) (* 1/8 (/ x y)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)) |
(* y (+ (* -1/2 z) (* 1/8 (/ x y)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)) |
(* y (+ (* -1/2 z) (* 1/8 (/ x y)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)) |
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)) |
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)) |
(* -1/2 (* y z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 y z)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)) |
(+ (* -1/2 (* y z)) (* 1/8 x)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)) |
(* x (+ 1/8 (* -1/2 (/ (* y z) x)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
Compiled 10 987 to 547 computations (95% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 244 | 0 | 244 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 244 | 6 | 250 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) |
| ✓ | 67.2% | (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (*.f64 #s(literal 1/8 binary64) x)) |
| ✓ | 67.0% | (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) |
| ✓ | 67.1% | (fma.f64 #s(literal 1/8 binary64) x t) |
| ✓ | 34.5% | (*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
| ✓ | 35.1% | (*.f64 #s(literal 1/8 binary64) x) |
Compiled 119 to 67 computations (43.7% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/8 binary64) x) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (*.f64 #s(literal 1/8 binary64) x)) |
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x 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 #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) |
9 calls:
| 6.0ms | (*.f64 y z) |
| 5.0ms | z |
| 3.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 3.0ms | t |
| 3.0ms | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 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 77 to 61 computations (20.8% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/8 binary64) x) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (*.f64 #s(literal 1/8 binary64) x)) |
| Outputs |
|---|
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) |
9 calls:
| 10.0ms | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 3.0ms | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 3.0ms | z |
| 3.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.9% | 3 | x |
| 86.4% | 3 | y |
| 89.0% | 3 | z |
| 85.8% | 3 | t |
| 84.1% | 6 | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| 87.9% | 3 | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 88.9% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 91.8% | 3 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 91.8% | 3 | (*.f64 y z) |
Compiled 77 to 61 computations (20.8% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/8 binary64) x) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) |
| Outputs |
|---|
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) |
2 calls:
| 2.0ms | (*.f64 y z) |
| 2.0ms | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.7% | 3 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 89.7% | 3 | (*.f64 y z) |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/8 binary64) x) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
| Outputs |
|---|
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
5 calls:
| 3.0ms | (*.f64 y z) |
| 2.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.1% | 1 | x |
| 67.1% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 80.3% | 3 | z |
| 87.9% | 3 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 87.9% | 3 | (*.f64 y z) |
Compiled 35 to 28 computations (20% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/8 binary64) x) |
(fma.f64 #s(literal 1/8 binary64) x t) |
| Outputs |
|---|
(fma.f64 #s(literal 1/8 binary64) x t) |
7 calls:
| 3.0ms | (+.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 | z |
| 2.0ms | t |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.1% | 1 | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| 67.1% | 1 | z |
| 67.1% | 1 | t |
| 67.1% | 1 | y |
| 67.1% | 1 | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 67.1% | 1 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 67.1% | 1 | (*.f64 y z) |
Compiled 63 to 49 computations (22.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 #s(literal 1/8 binary64) x) |
| Outputs |
|---|
(*.f64 #s(literal 1/8 binary64) x) |
9 calls:
| 1.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 1.0ms | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| 1.0ms | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 1.0ms | y |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.1% | 1 | (/.f64 (*.f64 y z) #s(literal 2 binary64)) |
| 35.1% | 1 | (*.f64 y z) |
| 35.1% | 1 | y |
| 35.1% | 1 | x |
| 35.1% | 1 | t |
| 35.1% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) |
| 35.1% | 1 | (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t) |
| 35.1% | 1 | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) |
| 35.1% | 1 | z |
Compiled 77 to 61 computations (20.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.895381884581564e+45 | 2.665865724486389e+50 |
| 0.0ms | -1.2594154408177222e+130 | -5.175999427238907e+124 |
Compiled 20 to 20 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.519616433174649e-19 | 8.050244303255247e-18 |
| 0.0ms | -1.5202263011258939e+155 | -7.5702841173371244e+143 |
Compiled 20 to 20 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0491142259501202e+126 | 2.026036694923341e+129 |
| 0.0ms | -1.5202263011258939e+155 | -7.5702841173371244e+143 |
Compiled 20 to 20 computations (0% saved)
| 1× | egg-herbie |
| 8× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 101 |
| 1 | 34 | 101 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) |
(if (<=.f64 (*.f64 y z) #s(literal -10000000000000000597830782460516151851749290252338090708736359498322008205751130936310560341066601403445681992244323541365884452864 binary64)) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) (if (<=.f64 (*.f64 y z) #s(literal 9999999999999999931398190359470212947659194368 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)))) |
(if (<=.f64 (*.f64 y z) #s(literal -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344 binary64)) (*.f64 y (*.f64 z #s(literal -1/2 binary64))) (if (<=.f64 (*.f64 y z) #s(literal 1298074214633707/1298074214633706907132624082305024 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))) |
(if (<=.f64 (*.f64 y z) #s(literal -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344 binary64)) (*.f64 y (*.f64 z #s(literal -1/2 binary64))) (if (<=.f64 (*.f64 y z) #s(literal 1999999999999999849735523237985764085089341739669676922878451944450588399951586053206326987525635307503060116827311064565678080 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(*.f64 #s(literal 1/8 binary64) x) |
| Outputs |
|---|
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t)) |
(if (<=.f64 (*.f64 y z) #s(literal -10000000000000000597830782460516151851749290252338090708736359498322008205751130936310560341066601403445681992244323541365884452864 binary64)) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) (if (<=.f64 (*.f64 y z) #s(literal 9999999999999999931398190359470212947659194368 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)))) |
(if (<=.f64 (*.f64 z y) #s(literal -10000000000000000597830782460516151851749290252338090708736359498322008205751130936310560341066601403445681992244323541365884452864 binary64)) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)) (if (<=.f64 (*.f64 z y) #s(literal 9999999999999999931398190359470212947659194368 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)))) |
(if (<=.f64 (*.f64 y z) #s(literal -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344 binary64)) (*.f64 y (*.f64 z #s(literal -1/2 binary64))) (if (<=.f64 (*.f64 y z) #s(literal 1298074214633707/1298074214633706907132624082305024 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))) |
(if (<=.f64 (*.f64 z y) #s(literal -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344 binary64)) (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (if (<=.f64 (*.f64 z y) #s(literal 1298074214633707/1298074214633706907132624082305024 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))) |
(if (<=.f64 (*.f64 y z) #s(literal -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344 binary64)) (*.f64 y (*.f64 z #s(literal -1/2 binary64))) (if (<=.f64 (*.f64 y z) #s(literal 1999999999999999849735523237985764085089341739669676922878451944450588399951586053206326987525635307503060116827311064565678080 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))) |
(if (<=.f64 (*.f64 z y) #s(literal -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344 binary64)) (*.f64 (*.f64 z #s(literal -1/2 binary64)) y) (if (<=.f64 (*.f64 z y) #s(literal 1999999999999999849735523237985764085089341739669676922878451944450588399951586053206326987525635307503060116827311064565678080 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (*.f64 (*.f64 z #s(literal -1/2 binary64)) y))) |
(fma.f64 #s(literal 1/8 binary64) x t) |
(*.f64 #s(literal 1/8 binary64) x) |
| 10 994× | lower-fma.f64 |
| 10 994× | lower-fma.f32 |
| 8 930× | lower-fma.f64 |
| 8 930× | lower-fma.f32 |
| 4 482× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 29 |
| 0 | 20 | 29 |
| 1 | 65 | 29 |
| 2 | 503 | 29 |
| 3 | 6469 | 29 |
| 0 | 8004 | 26 |
| 0 | 87 | 922 |
| 1 | 241 | 922 |
| 2 | 633 | 922 |
| 3 | 1919 | 922 |
| 4 | 5140 | 922 |
| 0 | 8110 | 819 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 188 to 94 computations (50% saved)
(sort y z)
Compiled 300 to 126 computations (58% saved)
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