Bouland and Aaronson, Equation (24)
Time bar (total: 1.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 32 to 19 computations (40.6% saved)
ival-sub: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)ival-pow: 0.0ms (0% of total)| 940.0ms | 8256× | 0 | valid |
ival-mult: 364.0ms (50.6% of total)ival-add: 166.0ms (23.1% of total)ival-pow: 86.0ms (11.9% of total)ival-sub: 83.0ms (11.5% of total)const: 19.0ms (2.6% of total)backward-pass: 2.0ms (0.3% of total)| 1× | egg-herbie |
| 641× | sub-neg |
| 559× | unsub-neg |
| 452× | fmm-def |
| 366× | fma-define |
| 315× | distribute-lft-neg-out |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 765 |
| 1 | 194 | 729 |
| 2 | 770 | 713 |
| 3 | 3534 | 713 |
| 4 | 7886 | 713 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (-.f64 #s(literal 1 binary64) (neg.f64 a))) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) (neg.f64 a)))))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 (neg.f64 b) (neg.f64 b))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
(neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (-.f64 #s(literal 1 binary64) (neg.f64 a))) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) (neg.f64 a)))))) #s(literal 1 binary64))) |
(neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 (neg.f64 b) (neg.f64 b))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) b)) (*.f64 (*.f64 a a) (+.f64 #s(literal 3 binary64) b))))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))) #s(literal 1 binary64))) |
(+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))) #s(literal 1 binary64))) |
(+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (-.f64 #s(literal 1 binary64) (neg.f64 a))) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) (neg.f64 a)))))) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 b (*.f64 b (-.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))) |
(+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (+.f64 a #s(literal 1 binary64)) (*.f64 (*.f64 b b) (-.f64 #s(literal 3 binary64) a))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (-.f64 #s(literal 3 binary64) a)) (fma.f64 a a (pow.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 (neg.f64 b) (neg.f64 b))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))) #s(literal 1 binary64))) |
(+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (-.f64 #s(literal 1 binary64) (neg.f64 a))) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) (neg.f64 a)))))) #s(literal 1 binary64))) |
(neg.f64 (+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 b (*.f64 b (-.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)))) |
(+.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (+.f64 a #s(literal 1 binary64)) (*.f64 (*.f64 b b) (-.f64 #s(literal 3 binary64) a))) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (-.f64 #s(literal 3 binary64) a)) (fma.f64 a a (pow.f64 a #s(literal 3 binary64)))) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)))) |
(neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 (neg.f64 b) (neg.f64 b))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))) |
(neg.f64 (+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))) #s(literal 1 binary64)))) |
(+.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)))) |
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)))) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) b)) (*.f64 (*.f64 a a) (+.f64 #s(literal 3 binary64) b))))) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) b) (*.f64 (*.f64 a a) (+.f64 b #s(literal 3 binary64))))) #s(literal 1 binary64))) |
(+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (+.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) b))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) b) (*.f64 a (*.f64 a (+.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64))) |
(abs b)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 51 | 0 | - | 0 | - | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 36 | 0 | - | 0 | - | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) |
| 14 | 0 | - | 2 | (-1.5351363422337238e+167 1.5873794561992086e-159) | (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 3 binary64) a) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 53 | (2.0759857396074197e-68 4.348131818689943e-242) | 0 | - | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 a a) (*.f64 b b)) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) a) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (*.f64 a a) |
| 72.0ms | 512× | 0 | valid |
Compiled 309 to 56 computations (81.9% saved)
ival-mult: 16.0ms (44.8% of total)ival-add: 8.0ms (22.4% of total)ival-sub: 5.0ms (14% of total)ival-pow: 5.0ms (14% of total)const: 1.0ms (2.8% of total)backward-pass: 0.0ms (0% of total)Compiled 81 to 27 computations (66.7% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 73.7% | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| ▶ | 75.7% | (+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))) #s(literal 1 binary64))) |
Compiled 60 to 36 computations (40% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) a) |
| ✓ | cost-diff | 0 | (*.f64 b b) |
| ✓ | cost-diff | 0 | (*.f64 a a) |
| ✓ | cost-diff | 0 | (*.f64 a a) |
| ✓ | cost-diff | 0 | (*.f64 b b) |
| ✓ | cost-diff | 0 | (fma.f64 a a (*.f64 b b)) |
| ✓ | cost-diff | 0 | (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) |
| 557× | unsub-neg |
| 549× | fma-define |
| 546× | associate-+l- |
| 415× | sub-neg |
| 364× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 951 |
| 1 | 90 | 947 |
| 2 | 235 | 947 |
| 3 | 747 | 947 |
| 4 | 2443 | 947 |
| 5 | 4471 | 947 |
| 6 | 7732 | 947 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))) #s(literal 1 binary64))) |
(pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) |
(fma.f64 a a (*.f64 b b)) |
a |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(-.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))) #s(literal 1 binary64)) |
(*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))) |
#s(literal 4 binary64) |
(fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) |
(*.f64 a a) |
(-.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(+.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))) |
#s(literal 4 binary64) |
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) |
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) |
(-.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
(+.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
| Outputs |
|---|
(+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))) #s(literal 1 binary64))) |
(+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64))) |
(+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64))) |
(+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (-.f64 (*.f64 a a) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64))) |
(+.f64 (fma.f64 #s(literal 4 binary64) (-.f64 (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a a)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64))) |
(pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) |
(fma.f64 a a (*.f64 b b)) |
a |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(-.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal -1 binary64)) |
(fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64)) |
(fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (-.f64 (*.f64 a a) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(fma.f64 #s(literal 4 binary64) (-.f64 (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a a)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))) |
(*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))))) |
(*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)))) |
(*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (-.f64 (*.f64 a a) (pow.f64 a #s(literal 3 binary64))))) |
(*.f64 #s(literal 4 binary64) (-.f64 (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a a)) (pow.f64 a #s(literal 3 binary64)))) |
#s(literal 4 binary64) |
(fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) |
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) |
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))) |
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (-.f64 (*.f64 a a) (pow.f64 a #s(literal 3 binary64)))) |
(-.f64 (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a a)) (pow.f64 a #s(literal 3 binary64))) |
(*.f64 a a) |
(-.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64))) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(+.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
(+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64))) |
(+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64))) |
(+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (-.f64 (*.f64 a a) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64))) |
(+.f64 (fma.f64 #s(literal 4 binary64) (-.f64 (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a a)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
(+.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64))) |
(fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64))) |
(fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64))) |
(fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (-.f64 (*.f64 a a) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64))) |
(fma.f64 #s(literal 4 binary64) (-.f64 (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a a)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 a a (*.f64 b b)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))) |
(*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))) |
(*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))))) |
(*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)))) |
(*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (-.f64 (*.f64 a a) (pow.f64 a #s(literal 3 binary64))))) |
(*.f64 #s(literal 4 binary64) (-.f64 (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a a)) (pow.f64 a #s(literal 3 binary64)))) |
#s(literal 4 binary64) |
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) |
(fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) |
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) |
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))) |
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (-.f64 (*.f64 a a) (pow.f64 a #s(literal 3 binary64)))) |
(-.f64 (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a a)) (pow.f64 a #s(literal 3 binary64))) |
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) |
(*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))) |
(-.f64 (*.f64 a a) (pow.f64 a #s(literal 3 binary64))) |
(-.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64))) |
(+.f64 #s(literal 3 binary64) a) |
(+.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
| 4.0ms | 17× | 0 | valid |
Compiled 258 to 28 computations (89.1% saved)
ival-add: 1.0ms (36.3% of total)ival-mult: 1.0ms (36.3% of total)ival-sub: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)compiled-spec: 0.0ms (0% of total)ival-pow: 0.0ms (0% of total)backward-pass: 1.0ms (86.7% of total)compiled-spec: 1.0ms (86.7% of total)Loading profile data...