Time bar (total: 2.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25.7% | 74.3% | 0% | 0% | 0% | 0 |
| 100% | 25.7% | 0% | 74.3% | 0% | 0% | 0% | 1 |
Compiled 26 to 19 computations (26.9% saved)
| 1.1s | 6164× | body | 256 | valid |
| 325.0ms | 996× | body | 1024 | valid |
| 246.0ms | 1075× | body | 512 | valid |
| 8.0ms | 21× | body | 2048 | valid |
| 2× | egg-herbie |
| 498× | associate-*l*_binary64 |
| 451× | distribute-rgt-neg-in_binary64 |
| 426× | distribute-lft-neg-in_binary64 |
| 409× | associate-*r*_binary64 |
| 366× | distribute-rgt-out_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 26 |
| 1 | 32 | 26 |
| 2 | 76 | 26 |
| 3 | 270 | 26 |
| 4 | 1173 | 20 |
| 5 | 4509 | 20 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2)) |
(-.f64 (pow.f64 (+.f64 eps x) 2) (pow.f64 eps 2)) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2)) |
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) |
(*.f64 eps (+.f64 eps (+.f64 x x))) |
(-.f64 (pow.f64 (+.f64 eps x) 2) (pow.f64 eps 2)) |
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 eps eps)) |
(*.f64 x (+.f64 x (+.f64 eps eps))) |
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
| 563× | distribute-rgt-in_binary64 |
| 513× | cancel-sign-sub-inv_binary64 |
| 510× | fma-neg_binary64 |
| 463× | distribute-lft-in_binary64 |
| 412× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 19 | 13 |
| 2 | 49 | 13 |
| 3 | 161 | 13 |
| 4 | 636 | 8 |
| 5 | 2828 | 8 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2)) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2)) |
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) |
(fma.f64 x (neg.f64 x) (pow.f64 (+.f64 x eps) 2)) |
(*.f64 eps (fma.f64 2 x eps)) |
Compiled 35 to 19 computations (45.7% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 | 1 | 4 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 4 | 1 | 5 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (*.f64 eps (fma.f64 2 x eps)) |
Compiled 8 to 5 computations (37.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 eps (fma.f64 2 x eps)) |
Compiled 15 to 8 computations (46.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | -inf | (*.f64 eps (fma.f64 2 x eps)) |
| 1.0ms | eps | @ | 0 | (*.f64 eps (fma.f64 2 x eps)) |
| 1.0ms | x | @ | 0 | (*.f64 eps (fma.f64 2 x eps)) |
| 1.0ms | eps | @ | inf | (*.f64 eps (fma.f64 2 x eps)) |
| 1.0ms | x | @ | inf | (*.f64 eps (fma.f64 2 x eps)) |
| 1× | batch-egg-rewrite |
| 552× | pow1_binary64 |
| 531× | add-sqr-sqrt_binary64 |
| 507× | add-log-exp_binary64 |
| 507× | log1p-expm1-u_binary64 |
| 507× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 120 | 8 |
| 2 | 1364 | 8 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 eps (fma.f64 2 x eps)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (*.f64 2 x)) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps)))))))) |
| 1× | egg-herbie |
| 717× | fma-def_binary64 |
| 584× | log-prod_binary64 |
| 329× | *-commutative_binary64 |
| 314× | associate-*l*_binary64 |
| 273× | associate-*r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 281 |
| 1 | 101 | 281 |
| 2 | 331 | 281 |
| 3 | 2324 | 281 |
| 4 | 5611 | 281 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 (*.f64 eps x)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(pow.f64 eps 2) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(pow.f64 eps 2) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(pow.f64 eps 2) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(*.f64 2 (*.f64 eps x)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(*.f64 2 (*.f64 eps x)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps)) |
(+.f64 (*.f64 eps (*.f64 2 x)) (*.f64 eps eps)) |
(-.f64 (+.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1) |
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1) |
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3) |
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2) |
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2)) |
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps))) |
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps)))) |
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps)))) |
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps)))) |
| Outputs |
|---|
(*.f64 2 (*.f64 eps x)) |
(*.f64 eps (*.f64 2 x)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(pow.f64 eps 2) |
(*.f64 eps eps) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(pow.f64 eps 2) |
(*.f64 eps eps) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(pow.f64 eps 2) |
(*.f64 eps eps) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(*.f64 2 (*.f64 eps x)) |
(*.f64 eps (*.f64 2 x)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(*.f64 2 (*.f64 eps x)) |
(*.f64 eps (*.f64 2 x)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (*.f64 eps (*.f64 2 x)) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(-.f64 (+.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1) |
(*.f64 eps (fma.f64 2 x eps)) |
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1) |
(*.f64 eps (fma.f64 2 x eps)) |
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3) |
(*.f64 eps (fma.f64 2 x eps)) |
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3) |
(*.f64 eps (fma.f64 2 x eps)) |
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2) |
(*.f64 eps (fma.f64 2 x eps)) |
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2)) |
(*.f64 eps (fma.f64 2 x eps)) |
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps))) |
(*.f64 eps (fma.f64 2 x eps)) |
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)) |
(*.f64 eps (fma.f64 2 x eps)) |
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps)))) |
(*.f64 eps (fma.f64 2 x eps)) |
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps)))) |
(*.f64 eps (fma.f64 2 x eps)) |
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps)))) |
(*.f64 eps (fma.f64 2 x eps)) |
Compiled 147 to 90 computations (38.8% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 16 | 3 | 19 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 16 | 4 | 20 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps)) |
| ✓ | 0.0b | (*.f64 eps (fma.f64 2 x eps)) |
| ▶ | 21.7b | (*.f64 eps (*.f64 2 x)) |
| ▶ | 17.2b | (*.f64 eps eps) |
Compiled 31 to 20 computations (35.5% saved)
Compiled 6 to 3 computations (50% saved)
Compiled 13 to 8 computations (38.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps)) |
Compiled 25 to 13 computations (48% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps)) |
| 1.0ms | x | @ | 0 | (+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps)) |
| 1.0ms | eps | @ | 0 | (+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps)) |
| 0.0ms | eps | @ | inf | (+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps)) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps)) |
| 1× | batch-egg-rewrite |
| 890× | pow1_binary64 |
| 828× | add-log-exp_binary64 |
| 827× | log1p-expm1-u_binary64 |
| 827× | expm1-log1p-u_binary64 |
| 809× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 174 | 8 |
| 2 | 2324 | 8 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (*.f64 eps (-.f64 (*.f64 2 x) eps))) (/.f64 (pow.f64 eps 4) (*.f64 eps (-.f64 (*.f64 2 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (fma.f64 2 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 eps (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2) (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6)) (/.f64 1 (+.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 2 x) (pow.f64 eps 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (pow.f64 eps 4)) (/.f64 1 (*.f64 eps (-.f64 (*.f64 2 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 x eps) eps)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 2 x) (pow.f64 eps 3)))) (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 eps (-.f64 (*.f64 2 x) eps)) (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (pow.f64 eps 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6)) (+.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 2 x) (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6)) (+.f64 (pow.f64 eps 4) (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (*.f64 (*.f64 2 x) (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (pow.f64 eps 4)) (*.f64 eps (-.f64 (*.f64 2 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6))) (neg.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 2 x) (pow.f64 eps 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (pow.f64 eps 4))) (neg.f64 (*.f64 eps (-.f64 (*.f64 2 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (*.f64 2 (*.f64 x eps)) 2)) (-.f64 (*.f64 eps eps) (*.f64 2 (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 x eps) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 x) eps (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (*.f64 2 x) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps eps (*.f64 2 (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 (*.f64 x eps)) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 eps eps) (*.f64 2 (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x eps))) 2) (cbrt.f64 (*.f64 2 (*.f64 x eps))) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2) (*.f64 2 (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (*.f64 x eps))) (sqrt.f64 (*.f64 2 (*.f64 x eps))) (*.f64 eps eps)))))) |
| 1× | egg-herbie |
| 887× | fma-neg_binary64 |
| 700× | div-sub_binary64 |
| 609× | times-frac_binary64 |
| 271× | fma-def_binary64 |
| 250× | log-prod_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 963 |
| 1 | 287 | 810 |
| 2 | 980 | 773 |
| 3 | 5246 | 773 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 eps 2) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(*.f64 2 (*.f64 eps x)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(*.f64 2 (*.f64 eps x)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(*.f64 2 (*.f64 eps x)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(pow.f64 eps 2) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(pow.f64 eps 2) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(-.f64 (+.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1) |
(-.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (*.f64 eps (-.f64 (*.f64 2 x) eps))) (/.f64 (pow.f64 eps 4) (*.f64 eps (-.f64 (*.f64 2 x) eps)))) |
(*.f64 eps (fma.f64 2 x eps)) |
(*.f64 (*.f64 eps (fma.f64 2 x eps)) 1) |
(*.f64 1 (*.f64 eps (fma.f64 2 x eps))) |
(*.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2) (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))) |
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (fma.f64 2 x eps))) |
(*.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) (sqrt.f64 (*.f64 eps (fma.f64 2 x eps)))) |
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (fma.f64 2 x eps))) |
(*.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6)) (/.f64 1 (+.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 2 x) (pow.f64 eps 3)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (pow.f64 eps 4)) (/.f64 1 (*.f64 eps (-.f64 (*.f64 2 x) eps)))) |
(*.f64 (fma.f64 2 x eps) eps) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 2 x) (pow.f64 eps 3)))) (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6)))) |
(/.f64 1 (/.f64 (*.f64 eps (-.f64 (*.f64 2 x) eps)) (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (pow.f64 eps 4)))) |
(/.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6)) (+.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 2 x) (pow.f64 eps 3))))) |
(/.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6)) (+.f64 (pow.f64 eps 4) (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (*.f64 (*.f64 2 x) (pow.f64 eps 3))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (pow.f64 eps 4)) (*.f64 eps (-.f64 (*.f64 2 x) eps))) |
(/.f64 (neg.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6))) (neg.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 2 x) (pow.f64 eps 3)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (pow.f64 eps 4))) (neg.f64 (*.f64 eps (-.f64 (*.f64 2 x) eps)))) |
(/.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (*.f64 2 (*.f64 x eps)) 2)) (-.f64 (*.f64 eps eps) (*.f64 2 (*.f64 x eps)))) |
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1) |
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3) |
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2) |
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2)) |
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps))) |
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps)))) |
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps)))) |
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps)))) |
(fma.f64 2 (*.f64 x eps) (*.f64 eps eps)) |
(fma.f64 (*.f64 2 x) eps (*.f64 eps eps)) |
(fma.f64 eps (*.f64 2 x) (*.f64 eps eps)) |
(fma.f64 eps eps (*.f64 2 (*.f64 x eps))) |
(fma.f64 1 (*.f64 2 (*.f64 x eps)) (*.f64 eps eps)) |
(fma.f64 1 (*.f64 eps eps) (*.f64 2 (*.f64 x eps))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x eps))) 2) (cbrt.f64 (*.f64 2 (*.f64 x eps))) (*.f64 eps eps)) |
(fma.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2) (*.f64 2 (*.f64 x eps))) |
(fma.f64 (sqrt.f64 (*.f64 2 (*.f64 x eps))) (sqrt.f64 (*.f64 2 (*.f64 x eps))) (*.f64 eps eps)) |
| Outputs |
|---|
(pow.f64 eps 2) |
(*.f64 eps eps) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(*.f64 2 (*.f64 eps x)) |
(*.f64 eps (*.f64 2 x)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(*.f64 2 (*.f64 eps x)) |
(*.f64 eps (*.f64 2 x)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(*.f64 2 (*.f64 eps x)) |
(*.f64 eps (*.f64 2 x)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(pow.f64 eps 2) |
(*.f64 eps eps) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(pow.f64 eps 2) |
(*.f64 eps eps) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x))) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(-.f64 (+.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(-.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (*.f64 eps (-.f64 (*.f64 2 x) eps))) (/.f64 (pow.f64 eps 4) (*.f64 eps (-.f64 (*.f64 2 x) eps)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 eps x)) 2) (pow.f64 eps 4)) (*.f64 eps (fma.f64 2 x (neg.f64 eps)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (pow.f64 eps 4)) (*.f64 eps (-.f64 (*.f64 2 x) eps))) |
(/.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (*.f64 eps (*.f64 2 x)) 2)) (*.f64 eps (fma.f64 x -2 eps))) |
(*.f64 eps (fma.f64 2 x eps)) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 (*.f64 eps (fma.f64 2 x eps)) 1) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(*.f64 1 (*.f64 eps (fma.f64 2 x eps))) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(*.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2) (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (fma.f64 2 x eps))) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(*.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) (sqrt.f64 (*.f64 eps (fma.f64 2 x eps)))) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (fma.f64 2 x eps))) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(*.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6)) (/.f64 1 (+.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 2 x) (pow.f64 eps 3)))))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 eps x)) 2) (-.f64 (pow.f64 eps 4) (*.f64 2 (*.f64 x (pow.f64 eps 3))))) (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)))) |
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (+.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (+.f64 (pow.f64 eps 4) (*.f64 (pow.f64 eps 3) (*.f64 x -2))))) |
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 eps (*.f64 2 x)) (*.f64 eps (fma.f64 x -2 eps))))) |
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (+.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (*.f64 (pow.f64 eps 3) (fma.f64 x -2 eps)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (pow.f64 eps 4)) (/.f64 1 (*.f64 eps (-.f64 (*.f64 2 x) eps)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 eps x)) 2) (pow.f64 eps 4)) (*.f64 eps (fma.f64 2 x (neg.f64 eps)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (pow.f64 eps 4)) (*.f64 eps (-.f64 (*.f64 2 x) eps))) |
(/.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (*.f64 eps (*.f64 2 x)) 2)) (*.f64 eps (fma.f64 x -2 eps))) |
(*.f64 (fma.f64 2 x eps) eps) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 2 x) (pow.f64 eps 3)))) (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 eps x)) 2) (-.f64 (pow.f64 eps 4) (*.f64 2 (*.f64 x (pow.f64 eps 3))))) (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)))) |
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (+.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (+.f64 (pow.f64 eps 4) (*.f64 (pow.f64 eps 3) (*.f64 x -2))))) |
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 eps (*.f64 2 x)) (*.f64 eps (fma.f64 x -2 eps))))) |
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (+.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (*.f64 (pow.f64 eps 3) (fma.f64 x -2 eps)))) |
(/.f64 1 (/.f64 (*.f64 eps (-.f64 (*.f64 2 x) eps)) (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (pow.f64 eps 4)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 eps x)) 2) (pow.f64 eps 4)) (*.f64 eps (fma.f64 2 x (neg.f64 eps)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (pow.f64 eps 4)) (*.f64 eps (-.f64 (*.f64 2 x) eps))) |
(/.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (*.f64 eps (*.f64 2 x)) 2)) (*.f64 eps (fma.f64 x -2 eps))) |
(/.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6)) (+.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 2 x) (pow.f64 eps 3))))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 eps x)) 2) (-.f64 (pow.f64 eps 4) (*.f64 2 (*.f64 x (pow.f64 eps 3))))) (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)))) |
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (+.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (+.f64 (pow.f64 eps 4) (*.f64 (pow.f64 eps 3) (*.f64 x -2))))) |
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 eps (*.f64 2 x)) (*.f64 eps (fma.f64 x -2 eps))))) |
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (+.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (*.f64 (pow.f64 eps 3) (fma.f64 x -2 eps)))) |
(/.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6)) (+.f64 (pow.f64 eps 4) (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (*.f64 (*.f64 2 x) (pow.f64 eps 3))))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 eps x)) 2) (-.f64 (pow.f64 eps 4) (*.f64 2 (*.f64 x (pow.f64 eps 3))))) (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)))) |
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (+.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (+.f64 (pow.f64 eps 4) (*.f64 (pow.f64 eps 3) (*.f64 x -2))))) |
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 eps (*.f64 2 x)) (*.f64 eps (fma.f64 x -2 eps))))) |
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (+.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (*.f64 (pow.f64 eps 3) (fma.f64 x -2 eps)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (pow.f64 eps 4)) (*.f64 eps (-.f64 (*.f64 2 x) eps))) |
(/.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 eps x)) 2) (pow.f64 eps 4)) (*.f64 eps (fma.f64 2 x (neg.f64 eps)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (pow.f64 eps 4)) (*.f64 eps (-.f64 (*.f64 2 x) eps))) |
(/.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (*.f64 eps (*.f64 2 x)) 2)) (*.f64 eps (fma.f64 x -2 eps))) |
(/.f64 (neg.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6))) (neg.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 2 x) (pow.f64 eps 3)))))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 eps x)) 2) (-.f64 (pow.f64 eps 4) (*.f64 2 (*.f64 x (pow.f64 eps 3))))) (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)))) |
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (+.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (+.f64 (pow.f64 eps 4) (*.f64 (pow.f64 eps 3) (*.f64 x -2))))) |
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 eps (*.f64 2 x)) (*.f64 eps (fma.f64 x -2 eps))))) |
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (+.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (*.f64 (pow.f64 eps 3) (fma.f64 x -2 eps)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (pow.f64 eps 4))) (neg.f64 (*.f64 eps (-.f64 (*.f64 2 x) eps)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 eps x)) 2) (pow.f64 eps 4)) (*.f64 eps (fma.f64 2 x (neg.f64 eps)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (pow.f64 eps 4)) (*.f64 eps (-.f64 (*.f64 2 x) eps))) |
(/.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (*.f64 eps (*.f64 2 x)) 2)) (*.f64 eps (fma.f64 x -2 eps))) |
(/.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (*.f64 2 (*.f64 x eps)) 2)) (-.f64 (*.f64 eps eps) (*.f64 2 (*.f64 x eps)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 eps x)) 2) (pow.f64 eps 4)) (*.f64 eps (fma.f64 2 x (neg.f64 eps)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (pow.f64 eps 4)) (*.f64 eps (-.f64 (*.f64 2 x) eps))) |
(/.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (*.f64 eps (*.f64 2 x)) 2)) (*.f64 eps (fma.f64 x -2 eps))) |
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2)) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps))) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps)))) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps)))) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps)))) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(fma.f64 2 (*.f64 x eps) (*.f64 eps eps)) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(fma.f64 (*.f64 2 x) eps (*.f64 eps eps)) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(fma.f64 eps (*.f64 2 x) (*.f64 eps eps)) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(fma.f64 eps eps (*.f64 2 (*.f64 x eps))) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(fma.f64 1 (*.f64 2 (*.f64 x eps)) (*.f64 eps eps)) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(fma.f64 1 (*.f64 eps eps) (*.f64 2 (*.f64 x eps))) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x eps))) 2) (cbrt.f64 (*.f64 2 (*.f64 x eps))) (*.f64 eps eps)) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(fma.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2) (*.f64 2 (*.f64 x eps))) |
(fma.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2) (*.f64 2 (*.f64 eps x))) |
(fma.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps (*.f64 2 x))) |
(fma.f64 eps (*.f64 2 x) (*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 eps 4)))) |
(fma.f64 (sqrt.f64 (*.f64 2 (*.f64 x eps))) (sqrt.f64 (*.f64 2 (*.f64 x eps))) (*.f64 eps eps)) |
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
Compiled 835 to 518 computations (38% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 56 | 0 | 56 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 56 | 4 | 60 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps)) |
| ✓ | 0.0b | (*.f64 eps (fma.f64 2 x eps)) |
| ✓ | 21.7b | (*.f64 eps (*.f64 2 x)) |
| ✓ | 17.2b | (*.f64 eps eps) |
Compiled 31 to 20 computations (35.5% saved)
| Inputs |
|---|
(*.f64 eps eps) |
(*.f64 eps (*.f64 2 x)) |
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 2 x eps)) |
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2)) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps)) |
3 calls:
| 9.0ms | eps |
| 4.0ms | x |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2)) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | eps |
| 0.0b | 1 | (-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2)) |
Compiled 51 to 31 computations (39.2% saved)
Total -31.9b remaining (-586.8%)
Threshold costs -31.9b (-586.8%)
| Inputs |
|---|
(*.f64 eps eps) |
(*.f64 eps (*.f64 2 x)) |
| Outputs |
|---|
(*.f64 eps (*.f64 2 x)) |
(*.f64 eps eps) |
(*.f64 eps (*.f64 2 x)) |
2 calls:
| 25.0ms | eps |
| 8.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 5.4b | 3 | x |
| 9.1b | 3 | eps |
Compiled 16 to 10 computations (37.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.4771879909723197e-95 | 7.158281518672257e-95 |
| 43.0ms | -1.1095567777360169e-95 | -2.1732152146759245e-97 |
| 42.0ms | 100× | body | 512 | valid |
| 13.0ms | 108× | body | 256 | valid |
Compiled 198 to 142 computations (28.3% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 47 |
| 1 | 19 | 47 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps)) |
(if (<=.f64 x -1394846410761035/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (*.f64 eps (*.f64 2 x)) (if (<=.f64 x 2630367692706693/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (*.f64 eps eps) (*.f64 eps (*.f64 2 x)))) |
(*.f64 eps eps) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps)) |
(+.f64 (*.f64 eps eps) (*.f64 (*.f64 2 x) eps)) |
(if (<=.f64 x -1394846410761035/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (*.f64 eps (*.f64 2 x)) (if (<=.f64 x 2630367692706693/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (*.f64 eps eps) (*.f64 eps (*.f64 2 x)))) |
(if (<=.f64 x -1394846410761035/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (*.f64 (*.f64 2 x) eps) (if (<=.f64 x 2630367692706693/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (*.f64 eps eps) (*.f64 (*.f64 2 x) eps))) |
(*.f64 eps eps) |
Compiled 39 to 25 computations (35.9% saved)
| 1× | egg-herbie |
| 563× | distribute-rgt-in_binary64 |
| 513× | cancel-sign-sub-inv_binary64 |
| 510× | fma-neg_binary64 |
| 463× | distribute-lft-in_binary64 |
| 412× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 19 | 13 |
| 2 | 49 | 13 |
| 3 | 161 | 13 |
| 4 | 636 | 8 |
| 5 | 2828 | 8 |
| 1× | node limit |
Compiled 212 to 127 computations (40.1% saved)
Compiled 35 to 19 computations (45.7% saved)
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