Time bar (total: 5.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 50% | 0% | 25% | 25% | 0% | 3 |
| 50% | 25% | 25% | 0% | 25% | 25% | 0% | 4 |
| 75% | 37.5% | 12.5% | 0% | 25% | 25% | 0% | 5 |
| 87.5% | 43.7% | 6.2% | 0% | 25% | 25% | 0% | 6 |
| 93.8% | 46.9% | 3.1% | 0% | 25% | 25% | 0% | 7 |
| 96.9% | 48.4% | 1.6% | 0% | 25% | 25% | 0% | 8 |
| 98.4% | 49.2% | 0.8% | 0% | 25% | 25% | 0% | 9 |
| 99.2% | 49.6% | 0.4% | 0% | 25% | 25% | 0% | 10 |
| 99.6% | 49.8% | 0.2% | 0% | 25% | 25% | 0% | 11 |
| 99.8% | 49.9% | 0.1% | 0% | 25% | 25% | 0% | 12 |
Compiled 10 to 8 computations (20% saved)
| 1.8s | 4154× | body | 1024 | valid |
| 523.0ms | 2148× | body | 512 | valid |
| 255.0ms | 404× | body | 2048 | valid |
| 175.0ms | 1550× | body | 256 | valid |
| 0.0ms | 4× | body | 256 | invalid |
| 2× | egg-herbie |
| 1728× | fma-def |
| 1078× | distribute-lft-in |
| 796× | associate-+r+ |
| 786× | associate-+l- |
| 774× | associate-+l+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 20 | 19 |
| 2 | 30 | 19 |
| 3 | 44 | 19 |
| 4 | 73 | 19 |
| 5 | 108 | 19 |
| 6 | 168 | 19 |
| 7 | 328 | 19 |
| 8 | 757 | 19 |
| 9 | 1448 | 19 |
| 10 | 2054 | 19 |
| 11 | 2578 | 19 |
| 12 | 3638 | 19 |
| 13 | 4428 | 19 |
| 14 | 4922 | 19 |
| 15 | 5098 | 19 |
| 16 | 5198 | 19 |
| 17 | 5198 | 19 |
| 18 | 6692 | 19 |
| 19 | 7008 | 19 |
| 20 | 7086 | 19 |
| 21 | 7094 | 19 |
| 22 | 7102 | 19 |
| 23 | 7102 | 19 |
| 24 | 7302 | 19 |
| 25 | 7878 | 19 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| Outputs |
|---|
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
Compiled 10 to 8 computations (20% saved)
| 1× | egg-herbie |
| 1728× | fma-def |
| 1078× | distribute-lft-in |
| 796× | associate-+r+ |
| 786× | associate-+l- |
| 774× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 20 | 19 |
| 2 | 30 | 19 |
| 3 | 44 | 19 |
| 4 | 73 | 19 |
| 5 | 108 | 19 |
| 6 | 168 | 19 |
| 7 | 328 | 19 |
| 8 | 757 | 19 |
| 9 | 1448 | 19 |
| 10 | 2054 | 19 |
| 11 | 2578 | 19 |
| 12 | 3638 | 19 |
| 13 | 4428 | 19 |
| 14 | 4922 | 19 |
| 15 | 5098 | 19 |
| 16 | 5198 | 19 |
| 17 | 5198 | 19 |
| 18 | 6692 | 19 |
| 19 | 7008 | 19 |
| 20 | 7086 | 19 |
| 21 | 7094 | 19 |
| 22 | 7102 | 19 |
| 23 | 7102 | 19 |
| 24 | 7302 | 19 |
| 25 | 7878 | 19 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| Outputs |
|---|
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
Compiled 15 to 11 computations (26.7% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| ▶ | 58.7b | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
Compiled 16 to 12 computations (25% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 4.6b | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
Compiled 24 to 17 computations (29.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 1.0ms | eps | @ | inf | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 0.0ms | eps | @ | -inf | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 1× | batch-egg-rewrite |
| 1538× | associate-/r* |
| 1472× | associate-*l/ |
| 1052× | associate-/l* |
| 922× | associate-/r/ |
| 880× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 190 | 19 |
| 2 | 2580 | 19 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (neg.f64 eps)) (log.f64 (/.f64 -1 (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (neg.f64 eps)) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (+.f64 (log.f64 (cbrt.f64 (-.f64 1 eps))) (log.f64 (/.f64 -1 (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (+.f64 (log.f64 (cbrt.f64 (-.f64 1 eps))) (neg.f64 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (-.f64 (log.f64 (cbrt.f64 (-.f64 1 eps))) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (+.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (log.f64 (/.f64 -1 (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (+.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (neg.f64 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (-.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 -1 (-.f64 -1 eps))) (log1p.f64 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))) (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log.f64 (+.f64 1 (pow.f64 eps 3)))) (log.f64 (+.f64 (-.f64 1 eps) (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log.f64 (-.f64 1 (*.f64 eps eps)))) (log1p.f64 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (-.f64 -1 eps) (+.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 -1 eps)) (log.f64 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 eps 3))) (-.f64 (log.f64 (+.f64 1 (fma.f64 eps eps eps))) (log.f64 (/.f64 -1 (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 eps 3))) (-.f64 (log.f64 (+.f64 1 (fma.f64 eps eps eps))) (neg.f64 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 (+.f64 1 (fma.f64 eps eps eps))) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (*.f64 eps eps))) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (*.f64 eps eps))) (-.f64 (log1p.f64 eps) (log.f64 (/.f64 -1 (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (*.f64 eps eps))) (-.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (+.f64 -1 eps))) (log.f64 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (log1p.f64 (neg.f64 eps)) 0) (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log.f64 (sqrt.f64 (+.f64 1 eps)))) (log.f64 (sqrt.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))) (log.f64 (cbrt.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (*.f64 (log1p.f64 eps) (log1p.f64 eps))) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (+.f64 (*.f64 (log1p.f64 eps) (log1p.f64 eps)) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (*.f64 (log1p.f64 eps) (log1p.f64 eps))) 1) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 3) (pow.f64 (log1p.f64 eps) 3)) 1) (+.f64 (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (+.f64 (*.f64 (log1p.f64 eps) (log1p.f64 eps)) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (-.f64 -1 eps) (+.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))))) |
| 1× | egg-herbie |
| 1186× | associate-*r* |
| 908× | associate-*l* |
| 860× | +-commutative |
| 826× | associate-+l- |
| 728× | associate--r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 185 | 2277 |
| 1 | 442 | 2019 |
| 2 | 1363 | 1985 |
| 3 | 6113 | 1985 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3)))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3))))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
(+.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 0) |
(+.f64 (log1p.f64 (neg.f64 eps)) (log.f64 (/.f64 -1 (-.f64 -1 eps)))) |
(+.f64 (log1p.f64 (neg.f64 eps)) (neg.f64 (log1p.f64 eps))) |
(+.f64 0 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) |
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))) |
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 2))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (+.f64 (log.f64 (cbrt.f64 (-.f64 1 eps))) (log.f64 (/.f64 -1 (-.f64 -1 eps))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (+.f64 (log.f64 (cbrt.f64 (-.f64 1 eps))) (neg.f64 (log1p.f64 eps)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (-.f64 (log.f64 (cbrt.f64 (-.f64 1 eps))) (log1p.f64 eps))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))) |
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (+.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (log.f64 (/.f64 -1 (-.f64 -1 eps))))) |
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (+.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (neg.f64 (log1p.f64 eps)))) |
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (-.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (log1p.f64 eps))) |
(+.f64 (log.f64 (/.f64 -1 (-.f64 -1 eps))) (log1p.f64 (neg.f64 eps))) |
(+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 (neg.f64 eps))) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))) (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))) |
(+.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log.f64 (+.f64 1 (pow.f64 eps 3)))) (log.f64 (+.f64 (-.f64 1 eps) (*.f64 eps eps)))) |
(+.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log.f64 (-.f64 1 (*.f64 eps eps)))) (log1p.f64 (neg.f64 eps))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(-.f64 0 (log.f64 (/.f64 (-.f64 -1 eps) (+.f64 -1 eps)))) |
(-.f64 (log.f64 (+.f64 -1 eps)) (log.f64 (-.f64 -1 eps))) |
(-.f64 (log.f64 (-.f64 1 (pow.f64 eps 3))) (-.f64 (log.f64 (+.f64 1 (fma.f64 eps eps eps))) (log.f64 (/.f64 -1 (-.f64 -1 eps))))) |
(-.f64 (log.f64 (-.f64 1 (pow.f64 eps 3))) (-.f64 (log.f64 (+.f64 1 (fma.f64 eps eps eps))) (neg.f64 (log1p.f64 eps)))) |
(-.f64 (log.f64 (-.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 (+.f64 1 (fma.f64 eps eps eps))) (log1p.f64 eps))) |
(-.f64 (log.f64 (-.f64 1 (*.f64 eps eps))) (+.f64 (log1p.f64 eps) (log1p.f64 eps))) |
(-.f64 (log.f64 (-.f64 1 (*.f64 eps eps))) (-.f64 (log1p.f64 eps) (log.f64 (/.f64 -1 (-.f64 -1 eps))))) |
(-.f64 (log.f64 (-.f64 1 (*.f64 eps eps))) (-.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1) |
(-.f64 (+.f64 0 (log.f64 (+.f64 -1 eps))) (log.f64 (-.f64 -1 eps))) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) 1) |
(-.f64 (-.f64 (log1p.f64 (neg.f64 eps)) 0) (log1p.f64 eps)) |
(-.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log.f64 (sqrt.f64 (+.f64 1 eps)))) (log.f64 (sqrt.f64 (+.f64 1 eps)))) |
(-.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))) (log.f64 (cbrt.f64 (+.f64 1 eps)))) |
(*.f64 1 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) |
(*.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1) |
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) |
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (*.f64 (log1p.f64 eps) (log1p.f64 eps))) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (+.f64 (*.f64 (log1p.f64 eps) (log1p.f64 eps)) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (*.f64 (log1p.f64 eps) (log1p.f64 eps))) 1) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 3) (pow.f64 (log1p.f64 eps) 3)) 1) (+.f64 (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (+.f64 (*.f64 (log1p.f64 eps) (log1p.f64 eps)) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) |
(pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1) |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 3) |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3) 1/3) |
(neg.f64 (log.f64 (/.f64 (-.f64 -1 eps) (+.f64 -1 eps)))) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2)) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) |
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) |
| Outputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3)))) |
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))) |
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))) |
(fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2 eps (*.f64 -2/5 (pow.f64 eps 5)))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3))))) |
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/3 (pow.f64 eps 3))))) |
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7))))) |
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (log.f64 -1) (/.f64 2 eps)) |
(+.f64 (log.f64 -1) (/.f64 -2 eps)) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3)))) |
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps)) |
(+.f64 (log.f64 -1) (-.f64 (/.f64 -2 eps) (/.f64 2/3 (pow.f64 eps 3)))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
(-.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5))))) |
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/5 (pow.f64 eps 5)) (/.f64 2/3 (pow.f64 eps 3))))) |
(+.f64 (log.f64 -1) (-.f64 (-.f64 (/.f64 -2 eps) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5)))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (log.f64 -1) (/.f64 2 eps)) |
(+.f64 (log.f64 -1) (/.f64 -2 eps)) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3)))) |
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps)) |
(+.f64 (log.f64 -1) (-.f64 (/.f64 -2 eps) (/.f64 2/3 (pow.f64 eps 3)))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
(-.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5))))) |
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/5 (pow.f64 eps 5)) (/.f64 2/3 (pow.f64 eps 3))))) |
(+.f64 (log.f64 -1) (-.f64 (-.f64 (/.f64 -2 eps) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5)))) |
(+.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 0) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(+.f64 (log1p.f64 (neg.f64 eps)) (log.f64 (/.f64 -1 (-.f64 -1 eps)))) |
(+.f64 (log1p.f64 (neg.f64 eps)) (neg.f64 (log1p.f64 eps))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(+.f64 0 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))) |
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 eps -1) (-.f64 -1 eps))))) |
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 2))) |
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 eps -1) (-.f64 -1 eps)))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 eps -1) (-.f64 -1 eps)))))) |
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 eps -1) (-.f64 -1 eps))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (+.f64 (log.f64 (cbrt.f64 (-.f64 1 eps))) (log.f64 (/.f64 -1 (-.f64 -1 eps))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (+.f64 (log.f64 (/.f64 -1 (-.f64 -1 eps))) (log.f64 (cbrt.f64 (-.f64 1 eps))))) |
(+.f64 (log.f64 (/.f64 -1 (-.f64 -1 eps))) (*.f64 3 (log.f64 (cbrt.f64 (-.f64 1 eps))))) |
(fma.f64 3 (log.f64 (cbrt.f64 (-.f64 1 eps))) (log.f64 (/.f64 -1 (-.f64 -1 eps)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (+.f64 (log.f64 (cbrt.f64 (-.f64 1 eps))) (neg.f64 (log1p.f64 eps)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (-.f64 (log.f64 (cbrt.f64 (-.f64 1 eps))) (log1p.f64 eps))) |
(-.f64 (*.f64 3 (log.f64 (cbrt.f64 (-.f64 1 eps)))) (log1p.f64 eps)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (-.f64 (log.f64 (cbrt.f64 (-.f64 1 eps))) (log1p.f64 eps))) |
(-.f64 (*.f64 3 (log.f64 (cbrt.f64 (-.f64 1 eps)))) (log1p.f64 eps)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))) |
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 eps -1) (-.f64 -1 eps)))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 eps -1) (-.f64 -1 eps)))))) |
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 eps -1) (-.f64 -1 eps))))) |
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (+.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (log.f64 (/.f64 -1 (-.f64 -1 eps))))) |
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (+.f64 (log.f64 (/.f64 -1 (-.f64 -1 eps))) (log.f64 (sqrt.f64 (-.f64 1 eps))))) |
(+.f64 (log.f64 (/.f64 -1 (-.f64 -1 eps))) (*.f64 2 (log.f64 (sqrt.f64 (-.f64 1 eps))))) |
(fma.f64 2 (log.f64 (sqrt.f64 (-.f64 1 eps))) (log.f64 (/.f64 -1 (-.f64 -1 eps)))) |
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (+.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (neg.f64 (log1p.f64 eps)))) |
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (-.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (log1p.f64 eps))) |
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (-.f64 1 eps)))) (log1p.f64 eps)) |
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (-.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (log1p.f64 eps))) |
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (-.f64 1 eps)))) (log1p.f64 eps)) |
(+.f64 (log.f64 (/.f64 -1 (-.f64 -1 eps))) (log1p.f64 (neg.f64 eps))) |
(+.f64 (log1p.f64 (neg.f64 eps)) (log.f64 (/.f64 -1 (-.f64 -1 eps)))) |
(+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 (neg.f64 eps))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))) (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))) |
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 eps -1) (-.f64 -1 eps))))) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))) |
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 eps -1) (-.f64 -1 eps)))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 eps -1) (-.f64 -1 eps)))))) |
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 eps -1) (-.f64 -1 eps))))) |
(+.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log.f64 (+.f64 1 (pow.f64 eps 3)))) (log.f64 (+.f64 (-.f64 1 eps) (*.f64 eps eps)))) |
(+.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (pow.f64 eps 3))) (log.f64 (+.f64 (-.f64 1 eps) (*.f64 eps eps)))) |
(-.f64 (+.f64 (log.f64 (fma.f64 eps eps (-.f64 1 eps))) (log1p.f64 (neg.f64 eps))) (log1p.f64 (pow.f64 eps 3))) |
(+.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (pow.f64 eps 3))) (log1p.f64 (*.f64 eps (+.f64 eps -1)))) |
(+.f64 (log1p.f64 (neg.f64 eps)) (-.f64 (log1p.f64 (*.f64 eps (+.f64 eps -1))) (log1p.f64 (pow.f64 eps 3)))) |
(+.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log.f64 (-.f64 1 (*.f64 eps eps)))) (log1p.f64 (neg.f64 eps))) |
(+.f64 (log1p.f64 (neg.f64 eps)) (-.f64 (log1p.f64 (neg.f64 eps)) (log.f64 (-.f64 1 (*.f64 eps eps))))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (-.f64 (log1p.f64 (*.f64 eps (neg.f64 eps))) (log1p.f64 (neg.f64 eps)))) |
(-.f64 (*.f64 2 (log1p.f64 (neg.f64 eps))) (log1p.f64 (*.f64 eps (neg.f64 eps)))) |
(-.f64 (*.f64 2 (log1p.f64 (neg.f64 eps))) (log1p.f64 (neg.f64 (*.f64 eps eps)))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(-.f64 0 (log.f64 (/.f64 (-.f64 -1 eps) (+.f64 -1 eps)))) |
(neg.f64 (log.f64 (/.f64 (-.f64 -1 eps) (+.f64 eps -1)))) |
(-.f64 (log.f64 (+.f64 eps -1)) (log.f64 (-.f64 -1 eps))) |
(-.f64 (log.f64 (+.f64 -1 eps)) (log.f64 (-.f64 -1 eps))) |
(neg.f64 (log.f64 (/.f64 (-.f64 -1 eps) (+.f64 eps -1)))) |
(-.f64 (log.f64 (+.f64 eps -1)) (log.f64 (-.f64 -1 eps))) |
(-.f64 (log.f64 (-.f64 1 (pow.f64 eps 3))) (-.f64 (log.f64 (+.f64 1 (fma.f64 eps eps eps))) (log.f64 (/.f64 -1 (-.f64 -1 eps))))) |
(+.f64 (-.f64 (log.f64 (-.f64 1 (pow.f64 eps 3))) (log1p.f64 (fma.f64 eps eps eps))) (log.f64 (/.f64 -1 (-.f64 -1 eps)))) |
(+.f64 (log.f64 (/.f64 -1 (-.f64 -1 eps))) (-.f64 (log1p.f64 (neg.f64 (pow.f64 eps 3))) (log1p.f64 (fma.f64 eps eps eps)))) |
(-.f64 (log.f64 (-.f64 1 (pow.f64 eps 3))) (-.f64 (log.f64 (+.f64 1 (fma.f64 eps eps eps))) (neg.f64 (log1p.f64 eps)))) |
(+.f64 (-.f64 (log.f64 (-.f64 1 (pow.f64 eps 3))) (log1p.f64 (fma.f64 eps eps eps))) (neg.f64 (log1p.f64 eps))) |
(-.f64 (log1p.f64 (neg.f64 (pow.f64 eps 3))) (+.f64 (log1p.f64 eps) (log1p.f64 (fma.f64 eps eps eps)))) |
(-.f64 (log.f64 (-.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 (+.f64 1 (fma.f64 eps eps eps))) (log1p.f64 eps))) |
(+.f64 (-.f64 (log.f64 (-.f64 1 (pow.f64 eps 3))) (log1p.f64 (fma.f64 eps eps eps))) (neg.f64 (log1p.f64 eps))) |
(-.f64 (log1p.f64 (neg.f64 (pow.f64 eps 3))) (+.f64 (log1p.f64 eps) (log1p.f64 (fma.f64 eps eps eps)))) |
(-.f64 (log.f64 (-.f64 1 (*.f64 eps eps))) (+.f64 (log1p.f64 eps) (log1p.f64 eps))) |
(-.f64 (log.f64 (-.f64 1 (*.f64 eps eps))) (*.f64 2 (log1p.f64 eps))) |
(+.f64 (log1p.f64 (*.f64 eps (neg.f64 eps))) (*.f64 -2 (log1p.f64 eps))) |
(fma.f64 -2 (log1p.f64 eps) (log1p.f64 (*.f64 eps (neg.f64 eps)))) |
(fma.f64 -2 (log1p.f64 eps) (log1p.f64 (neg.f64 (*.f64 eps eps)))) |
(-.f64 (log.f64 (-.f64 1 (*.f64 eps eps))) (-.f64 (log1p.f64 eps) (log.f64 (/.f64 -1 (-.f64 -1 eps))))) |
(+.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 eps eps))) (log1p.f64 eps)) (log.f64 (/.f64 -1 (-.f64 -1 eps)))) |
(+.f64 (log.f64 (/.f64 -1 (-.f64 -1 eps))) (-.f64 (log1p.f64 (*.f64 eps (neg.f64 eps))) (log1p.f64 eps))) |
(+.f64 (log.f64 (/.f64 -1 (-.f64 -1 eps))) (-.f64 (log1p.f64 (neg.f64 (*.f64 eps eps))) (log1p.f64 eps))) |
(-.f64 (log.f64 (-.f64 1 (*.f64 eps eps))) (-.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))) |
(-.f64 (log.f64 (-.f64 1 (*.f64 eps eps))) (*.f64 2 (log1p.f64 eps))) |
(+.f64 (log1p.f64 (*.f64 eps (neg.f64 eps))) (*.f64 -2 (log1p.f64 eps))) |
(fma.f64 -2 (log1p.f64 eps) (log1p.f64 (*.f64 eps (neg.f64 eps)))) |
(fma.f64 -2 (log1p.f64 eps) (log1p.f64 (neg.f64 (*.f64 eps eps)))) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(-.f64 (+.f64 0 (log.f64 (+.f64 -1 eps))) (log.f64 (-.f64 -1 eps))) |
(neg.f64 (log.f64 (/.f64 (-.f64 -1 eps) (+.f64 eps -1)))) |
(-.f64 (log.f64 (+.f64 eps -1)) (log.f64 (-.f64 -1 eps))) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) 1) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(-.f64 (-.f64 (log1p.f64 (neg.f64 eps)) 0) (log1p.f64 eps)) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(-.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log.f64 (sqrt.f64 (+.f64 1 eps)))) (log.f64 (sqrt.f64 (+.f64 1 eps)))) |
(-.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log.f64 (sqrt.f64 (+.f64 eps 1)))) (log.f64 (sqrt.f64 (+.f64 eps 1)))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 eps 1))))) |
(+.f64 (log1p.f64 (neg.f64 eps)) (*.f64 -2 (log.f64 (sqrt.f64 (+.f64 eps 1))))) |
(-.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))) (log.f64 (cbrt.f64 (+.f64 1 eps)))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 eps 1)))) (log.f64 (cbrt.f64 (+.f64 eps 1))))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (*.f64 3 (log.f64 (cbrt.f64 (+.f64 eps 1))))) |
(+.f64 (log1p.f64 (neg.f64 eps)) (*.f64 (log.f64 (cbrt.f64 (+.f64 eps 1))) -3)) |
(*.f64 1 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(*.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(/.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (*.f64 (log1p.f64 eps) (log1p.f64 eps))) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) |
(*.f64 (/.f64 (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (+.f64 (*.f64 (log1p.f64 eps) (log1p.f64 eps)) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps)) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 (log1p.f64 eps) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 (log1p.f64 eps) (log1p.f64 eps) (*.f64 (log1p.f64 (neg.f64 eps)) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (*.f64 (log1p.f64 eps) (log1p.f64 eps))) 1) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (*.f64 (log1p.f64 eps) (log1p.f64 eps))) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) |
(*.f64 (/.f64 (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 3) (pow.f64 (log1p.f64 eps) 3)) 1) (+.f64 (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (+.f64 (*.f64 (log1p.f64 eps) (log1p.f64 eps)) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps)) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 (log1p.f64 eps) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 (log1p.f64 eps) (log1p.f64 eps) (*.f64 (log1p.f64 (neg.f64 eps)) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) |
(pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 3) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3) 1/3) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(neg.f64 (log.f64 (/.f64 (-.f64 -1 eps) (+.f64 -1 eps)))) |
(neg.f64 (log.f64 (/.f64 (-.f64 -1 eps) (+.f64 eps -1)))) |
(-.f64 (log.f64 (+.f64 eps -1)) (log.f64 (-.f64 -1 eps))) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2)) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3)) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (log1p.f64 eps) |
| ✓ | 0.0b | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
Compiled 15 to 5 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | eps | @ | 0 | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| 0.0ms | eps | @ | inf | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| 0.0ms | eps | @ | -inf | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| 0.0ms | eps | @ | -inf | (log1p.f64 eps) |
| 0.0ms | eps | @ | inf | (log1p.f64 eps) |
| 1× | batch-egg-rewrite |
| 1404× | add-sqr-sqrt |
| 1388× | *-un-lft-identity |
| 1296× | add-cube-cbrt |
| 1284× | add-cbrt-cube |
| 1270× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 1 | 170 | 20 |
| 2 | 2301 | 20 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(log1p.f64 eps) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps)) (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))) (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))) (-.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (neg.f64 (log1p.f64 eps)) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (*.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))) (neg.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 eps 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 eps)) 1)))))) |
| 1× | egg-herbie |
| 1152× | associate-+r- |
| 964× | fma-def |
| 840× | +-commutative |
| 724× | *-commutative |
| 610× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 188 | 1078 |
| 1 | 492 | 838 |
| 2 | 1543 | 828 |
| 3 | 5849 | 828 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3)))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3))))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
(*.f64 -1 (log.f64 -1)) |
(-.f64 (*.f64 -1 (log.f64 -1)) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
eps |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) eps) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 -1/4 (pow.f64 eps 4))))) |
(*.f64 -1 (log.f64 (/.f64 1 eps))) |
(+.f64 (/.f64 1 eps) (*.f64 -1 (log.f64 (/.f64 1 eps)))) |
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (log.f64 (/.f64 1 eps)))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2)))) |
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 eps))) (*.f64 1/3 (/.f64 1 (pow.f64 eps 3))))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (log.f64 -1)) |
(+.f64 (/.f64 1 eps) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 eps))))) |
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 eps))))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2)))) |
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (*.f64 1/3 (/.f64 1 (pow.f64 eps 3)))))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2)))) |
(+.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))) |
(+.f64 (log1p.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps))) |
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps))) |
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps))) |
(+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps)) |
(*.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1) |
(*.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) |
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) |
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (+.f64 (log1p.f64 eps) (log1p.f64 eps)))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))) |
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)))) |
(/.f64 1 (/.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps)) (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))) (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (+.f64 (log1p.f64 eps) (log1p.f64 eps))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))) (-.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (neg.f64 (log1p.f64 eps)) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (*.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))) (neg.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))) |
(pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1) |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 3) |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2)) |
(log.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1))) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) |
(fma.f64 1 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))) |
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) |
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) |
(-.f64 (+.f64 1 (log1p.f64 eps)) 1) |
(*.f64 (log1p.f64 eps) 1) |
(*.f64 1 (log1p.f64 eps)) |
(*.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) |
(*.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps))) |
(pow.f64 (log1p.f64 eps) 1) |
(pow.f64 (sqrt.f64 (log1p.f64 eps)) 2) |
(pow.f64 (cbrt.f64 (log1p.f64 eps)) 3) |
(pow.f64 (pow.f64 (log1p.f64 eps) 3) 1/3) |
(sqrt.f64 (pow.f64 (log1p.f64 eps) 2)) |
(log.f64 (+.f64 eps 1)) |
(cbrt.f64 (pow.f64 (log1p.f64 eps) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 eps))) |
(exp.f64 (log.f64 (log1p.f64 eps))) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 eps)) 1)) |
| Outputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3)))) |
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))) |
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5)))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3))))) |
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/3 (pow.f64 eps 3))))) |
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7))))) |
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/7 (pow.f64 eps 7))))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (log.f64 -1) (/.f64 2 eps)) |
(+.f64 (log.f64 -1) (/.f64 -2 eps)) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3)))) |
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps)) |
(+.f64 (log.f64 -1) (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3)))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
(-.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5))))) |
(-.f64 (+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps)) (/.f64 2/5 (pow.f64 eps 5))) |
(+.f64 (+.f64 (log.f64 -1) (/.f64 -2/3 (pow.f64 eps 3))) (+.f64 (/.f64 -2 eps) (/.f64 -2/5 (pow.f64 eps 5)))) |
(*.f64 -1 (log.f64 -1)) |
(neg.f64 (log.f64 -1)) |
(-.f64 (*.f64 -1 (log.f64 -1)) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (neg.f64 (log.f64 -1)) (/.f64 2 eps)) |
(fma.f64 -1 (log.f64 -1) (/.f64 -2 eps)) |
(-.f64 (/.f64 -2 eps) (log.f64 -1)) |
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (neg.f64 (log.f64 -1)) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3)))) |
(-.f64 (fma.f64 -1 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) |
(+.f64 (-.f64 (/.f64 -2 eps) (log.f64 -1)) (/.f64 -2/3 (pow.f64 eps 3))) |
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
(-.f64 (neg.f64 (log.f64 -1)) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5))))) |
(-.f64 (-.f64 (fma.f64 -1 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5))) |
(+.f64 (+.f64 (-.f64 (/.f64 -2 eps) (log.f64 -1)) (/.f64 -2/3 (pow.f64 eps 3))) (/.f64 -2/5 (pow.f64 eps 5))) |
eps |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) eps) |
(fma.f64 -1/2 (*.f64 eps eps) eps) |
(fma.f64 eps (*.f64 eps -1/2) eps) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))) |
(+.f64 (fma.f64 -1/2 (*.f64 eps eps) eps) (*.f64 (pow.f64 eps 3) 1/3)) |
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 (pow.f64 eps 3) 1/3 eps)) |
(fma.f64 eps (*.f64 eps -1/2) (fma.f64 (pow.f64 eps 3) 1/3 eps)) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 -1/4 (pow.f64 eps 4))))) |
(+.f64 (fma.f64 -1/2 (*.f64 eps eps) eps) (fma.f64 1/3 (pow.f64 eps 3) (*.f64 -1/4 (pow.f64 eps 4)))) |
(+.f64 (fma.f64 -1/2 (*.f64 eps eps) eps) (fma.f64 (pow.f64 eps 3) 1/3 (*.f64 -1/4 (pow.f64 eps 4)))) |
(fma.f64 eps (*.f64 eps -1/2) (fma.f64 (pow.f64 eps 3) 1/3 (fma.f64 -1/4 (pow.f64 eps 4) eps))) |
(*.f64 -1 (log.f64 (/.f64 1 eps))) |
(neg.f64 (neg.f64 (log.f64 eps))) |
(log.f64 eps) |
(+.f64 (/.f64 1 eps) (*.f64 -1 (log.f64 (/.f64 1 eps)))) |
(+.f64 (/.f64 1 eps) (neg.f64 (neg.f64 (log.f64 eps)))) |
(+.f64 (/.f64 1 eps) (log.f64 eps)) |
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (log.f64 (/.f64 1 eps)))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2)))) |
(-.f64 (+.f64 (/.f64 1 eps) (neg.f64 (neg.f64 (log.f64 eps)))) (/.f64 1/2 (*.f64 eps eps))) |
(+.f64 (+.f64 (/.f64 1 eps) (log.f64 eps)) (/.f64 -1/2 (*.f64 eps eps))) |
(-.f64 (+.f64 (/.f64 1 eps) (log.f64 eps)) (/.f64 1/2 (*.f64 eps eps))) |
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 eps))) (*.f64 1/3 (/.f64 1 (pow.f64 eps 3))))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2)))) |
(-.f64 (+.f64 (/.f64 1 eps) (fma.f64 -1 (neg.f64 (log.f64 eps)) (/.f64 1/3 (pow.f64 eps 3)))) (/.f64 1/2 (*.f64 eps eps))) |
(+.f64 (+.f64 (/.f64 1 eps) (log.f64 eps)) (+.f64 (/.f64 1/3 (pow.f64 eps 3)) (/.f64 -1/2 (*.f64 eps eps)))) |
(+.f64 (/.f64 1 eps) (+.f64 (log.f64 eps) (+.f64 (/.f64 1/3 (pow.f64 eps 3)) (/.f64 -1/2 (*.f64 eps eps))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (log.f64 -1)) |
(fma.f64 -1 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) |
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 eps))) |
(+.f64 (/.f64 1 eps) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 eps))))) |
(+.f64 (/.f64 1 eps) (fma.f64 -1 (log.f64 (/.f64 -1 eps)) (log.f64 -1))) |
(-.f64 (+.f64 (log.f64 -1) (/.f64 1 eps)) (log.f64 (/.f64 -1 eps))) |
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 eps))))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2)))) |
(+.f64 (/.f64 1 eps) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (/.f64 1/2 (*.f64 eps eps)))) |
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 eps))) (+.f64 (/.f64 1 eps) (/.f64 -1/2 (*.f64 eps eps)))) |
(+.f64 (log.f64 -1) (-.f64 (-.f64 (/.f64 1 eps) (log.f64 (/.f64 -1 eps))) (/.f64 1/2 (*.f64 eps eps)))) |
(+.f64 (log.f64 -1) (-.f64 (/.f64 1 eps) (+.f64 (/.f64 1/2 (*.f64 eps eps)) (log.f64 (/.f64 -1 eps))))) |
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (*.f64 1/3 (/.f64 1 (pow.f64 eps 3)))))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2)))) |
(+.f64 (/.f64 1 eps) (-.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 eps)) (/.f64 1/3 (pow.f64 eps 3)))) (/.f64 1/2 (*.f64 eps eps)))) |
(+.f64 (/.f64 1 eps) (+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 eps))) (-.f64 (/.f64 1/3 (pow.f64 eps 3)) (/.f64 1/2 (*.f64 eps eps))))) |
(+.f64 (/.f64 1 eps) (+.f64 (/.f64 1/3 (pow.f64 eps 3)) (-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 eps)) (/.f64 1/2 (*.f64 eps eps)))))) |
(+.f64 (log.f64 -1) (-.f64 (/.f64 1/3 (pow.f64 eps 3)) (-.f64 (log.f64 (/.f64 -1 eps)) (-.f64 (/.f64 1 eps) (/.f64 1/2 (*.f64 eps eps)))))) |
(+.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))) |
0 |
(+.f64 (log1p.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1)) |
0 |
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps))) |
0 |
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps))) |
0 |
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps))) |
0 |
(+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps)) |
0 |
(*.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1) |
0 |
(*.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) |
0 |
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) |
0 |
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2)) |
0 |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) |
0 |
(*.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (+.f64 (log1p.f64 eps) (log1p.f64 eps)))) |
0 |
(*.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))) |
0 |
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)))) |
0 |
(/.f64 1 (/.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps)) (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)))) |
0 |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))) (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)))) |
0 |
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (+.f64 (log1p.f64 eps) (log1p.f64 eps))) |
0 |
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps))))) |
0 |
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))) (-.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))) |
0 |
(/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (neg.f64 (log1p.f64 eps)) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (*.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))))) |
0 |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))) (neg.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps)))) |
0 |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))) |
0 |
(pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1) |
0 |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) |
0 |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 3) |
0 |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3) 1/3) |
0 |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2)) |
(sqrt.f64 0) |
(log.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1))) |
0 |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3)) |
0 |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) |
0 |
(exp.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) |
0 |
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 1)) |
0 |
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) |
0 |
(fma.f64 1 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))) |
0 |
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) |
0 |
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) |
0 |
(-.f64 (+.f64 1 (log1p.f64 eps)) 1) |
(+.f64 1 (-.f64 (log1p.f64 eps) 1)) |
(log1p.f64 eps) |
(*.f64 (log1p.f64 eps) 1) |
(+.f64 1 (-.f64 (log1p.f64 eps) 1)) |
(log1p.f64 eps) |
(*.f64 1 (log1p.f64 eps)) |
(+.f64 1 (-.f64 (log1p.f64 eps) 1)) |
(log1p.f64 eps) |
(*.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) |
(+.f64 1 (-.f64 (log1p.f64 eps) 1)) |
(log1p.f64 eps) |
(*.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)) |
(+.f64 1 (-.f64 (log1p.f64 eps) 1)) |
(log1p.f64 eps) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps))) |
(+.f64 1 (-.f64 (log1p.f64 eps) 1)) |
(log1p.f64 eps) |
(pow.f64 (log1p.f64 eps) 1) |
(+.f64 1 (-.f64 (log1p.f64 eps) 1)) |
(log1p.f64 eps) |
(pow.f64 (sqrt.f64 (log1p.f64 eps)) 2) |
(+.f64 1 (-.f64 (log1p.f64 eps) 1)) |
(log1p.f64 eps) |
(pow.f64 (cbrt.f64 (log1p.f64 eps)) 3) |
(+.f64 1 (-.f64 (log1p.f64 eps) 1)) |
(log1p.f64 eps) |
(pow.f64 (pow.f64 (log1p.f64 eps) 3) 1/3) |
(+.f64 1 (-.f64 (log1p.f64 eps) 1)) |
(log1p.f64 eps) |
(sqrt.f64 (pow.f64 (log1p.f64 eps) 2)) |
(+.f64 1 (-.f64 (log1p.f64 eps) 1)) |
(log1p.f64 eps) |
(log.f64 (+.f64 eps 1)) |
(+.f64 1 (-.f64 (log1p.f64 eps) 1)) |
(log1p.f64 eps) |
(cbrt.f64 (pow.f64 (log1p.f64 eps) 3)) |
(+.f64 1 (-.f64 (log1p.f64 eps) 1)) |
(log1p.f64 eps) |
(expm1.f64 (log1p.f64 (log1p.f64 eps))) |
(+.f64 1 (-.f64 (log1p.f64 eps) 1)) |
(log1p.f64 eps) |
(exp.f64 (log.f64 (log1p.f64 eps))) |
(+.f64 1 (-.f64 (log1p.f64 eps) 1)) |
(log1p.f64 eps) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 eps)) 1)) |
(+.f64 1 (-.f64 (log1p.f64 eps) 1)) |
(log1p.f64 eps) |
Compiled 3522 to 2046 computations (41.9% saved)
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 248 | 6 | 254 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 248 | 8 | 256 |
| Status | Error | Program |
|---|---|---|
| ▶ | 50.5b | (-.f64 (log1p.f64 (neg.f64 eps)) (-.f64 (+.f64 1 (log1p.f64 eps)) 1)) |
| ✓ | 0.0b | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| ▶ | 1.3b | (-.f64 (log1p.f64 (neg.f64 eps)) eps) |
| ▶ | 0.5b | (+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
| ▶ | 0.9b | (*.f64 -2 eps) |
| ▶ | 58.7b | (neg.f64 (log.f64 (/.f64 (-.f64 -1 eps) (+.f64 eps -1)))) |
| ✓ | 58.7b | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 60.6b | 0 |
Compiled 100 to 78 computations (22% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 -2/3 (pow.f64 eps 3)) |
Compiled 25 to 19 computations (24% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | -inf | (*.f64 -2/3 (pow.f64 eps 3)) |
| 0.0ms | eps | @ | 0 | (*.f64 -2/3 (pow.f64 eps 3)) |
| 0.0ms | eps | @ | inf | (*.f64 -2/3 (pow.f64 eps 3)) |
| 1× | batch-egg-rewrite |
| 1236× | add-sqr-sqrt |
| 1204× | *-un-lft-identity |
| 1142× | add-cube-cbrt |
| 1134× | add-cbrt-cube |
| 1118× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 149 | 13 |
| 2 | 1596 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2/3 (pow.f64 eps 3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3)))))))) |
| 1× | egg-herbie |
| 1084× | distribute-rgt-in |
| 1068× | distribute-lft-in |
| 976× | associate-*l/ |
| 900× | associate-*r/ |
| 890× | log-prod |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 275 |
| 1 | 98 | 209 |
| 2 | 327 | 143 |
| 3 | 1685 | 143 |
| 4 | 6913 | 143 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1) |
(pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1) |
(pow.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) 2) |
(pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3) |
(pow.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9)) |
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))) |
(cbrt.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3)))) |
(exp.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3)))) |
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3)))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1) |
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)) |
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1) |
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)) |
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(pow.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) 2) |
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)) |
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3) |
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)) |
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(pow.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3) 1/3) |
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)) |
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9)) |
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)) |
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3))) |
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)) |
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(cbrt.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3)) |
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)) |
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3)))) |
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)) |
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(exp.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3)))) |
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)) |
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0) |
(*.f64 -2/3 (pow.f64 eps 3)) |
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3)))) |
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)) |
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0) |
(*.f64 -2/3 (pow.f64 eps 3)) |
Compiled 6 to 4 computations (33.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (log1p.f64 (neg.f64 eps)) eps) |
Compiled 12 to 4 computations (66.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | eps | @ | 0 | (-.f64 (log1p.f64 (neg.f64 eps)) eps) |
| 0.0ms | eps | @ | inf | (-.f64 (log1p.f64 (neg.f64 eps)) eps) |
| 0.0ms | eps | @ | -inf | (-.f64 (log1p.f64 (neg.f64 eps)) eps) |
| 1× | batch-egg-rewrite |
| 1348× | add-sqr-sqrt |
| 1332× | *-un-lft-identity |
| 1246× | add-cube-cbrt |
| 1232× | add-cbrt-cube |
| 1218× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 1 | 150 | 11 |
| 2 | 2030 | 11 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log1p.f64 (neg.f64 eps)) eps) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 eps) eps)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 eps (log1p.f64 eps)) (fma.f64 eps 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 eps (log1p.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 eps (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 eps (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 eps (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 eps (log1p.f64 eps))) (sqrt.f64 (+.f64 eps (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 eps (log1p.f64 eps))) (pow.f64 (cbrt.f64 (+.f64 eps (log1p.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 eps (log1p.f64 eps))) 2) (cbrt.f64 (+.f64 eps (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 2) (/.f64 1 (+.f64 eps (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 eps 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 eps (+.f64 eps (log1p.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 eps)) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 eps (log1p.f64 eps)) (pow.f64 (+.f64 eps (log1p.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 eps (+.f64 eps (log1p.f64 eps)))) (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 2) (+.f64 eps (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 eps 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 eps (+.f64 eps (log1p.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 eps 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (-.f64 (*.f64 eps eps) (*.f64 eps (log1p.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 2)) (neg.f64 (+.f64 eps (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 eps 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 eps (+.f64 eps (log1p.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 eps (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 eps (log1p.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 eps (log1p.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 eps (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 eps (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 eps (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 eps (log1p.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 eps (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 eps) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) eps))))) |
| 1× | egg-herbie |
| 1496× | associate-*r* |
| 1210× | associate-*l* |
| 1030× | associate-+l- |
| 880× | associate-/l* |
| 770× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 122 | 1114 |
| 1 | 317 | 1028 |
| 2 | 1338 | 992 |
| 3 | 7336 | 992 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -2 eps)) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -2 eps) (*.f64 -1/3 (pow.f64 eps 3)))) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -1/4 (pow.f64 eps 4)) (*.f64 -1/3 (pow.f64 eps 3))))) |
(*.f64 -1 eps) |
(+.f64 (*.f64 -1 eps) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps))))) |
(-.f64 (+.f64 (*.f64 -1 eps) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps))))) (/.f64 1 eps)) |
(-.f64 (+.f64 (*.f64 -1 eps) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps))))) (+.f64 (/.f64 1 eps) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))))) |
(*.f64 -1 eps) |
(+.f64 (*.f64 -1 eps) (*.f64 -1 (log.f64 (/.f64 -1 eps)))) |
(-.f64 (+.f64 (*.f64 -1 eps) (*.f64 -1 (log.f64 (/.f64 -1 eps)))) (/.f64 1 eps)) |
(-.f64 (+.f64 (*.f64 -1 eps) (*.f64 -1 (log.f64 (/.f64 -1 eps)))) (+.f64 (/.f64 1 eps) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))))) |
(+.f64 eps (log1p.f64 eps)) |
(+.f64 (log1p.f64 eps) eps) |
(+.f64 (+.f64 eps (log1p.f64 eps)) (fma.f64 eps 1 eps)) |
(+.f64 (+.f64 eps (log1p.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) eps)) |
(+.f64 (+.f64 eps (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps)) |
(*.f64 (+.f64 eps (log1p.f64 eps)) 1) |
(*.f64 1 (+.f64 eps (log1p.f64 eps))) |
(*.f64 (sqrt.f64 (+.f64 eps (log1p.f64 eps))) (sqrt.f64 (+.f64 eps (log1p.f64 eps)))) |
(*.f64 (cbrt.f64 (+.f64 eps (log1p.f64 eps))) (pow.f64 (cbrt.f64 (+.f64 eps (log1p.f64 eps))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 eps (log1p.f64 eps))) 2) (cbrt.f64 (+.f64 eps (log1p.f64 eps)))) |
(*.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 2) (/.f64 1 (+.f64 eps (log1p.f64 eps)))) |
(*.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 eps 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 eps (+.f64 eps (log1p.f64 eps)))))) |
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 eps)) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 eps))) |
(/.f64 1 (/.f64 (+.f64 eps (log1p.f64 eps)) (pow.f64 (+.f64 eps (log1p.f64 eps)) 2))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 eps (+.f64 eps (log1p.f64 eps)))) (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 eps 3)))) |
(/.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 2) (+.f64 eps (log1p.f64 eps))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 eps 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 eps (+.f64 eps (log1p.f64 eps))))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 eps 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (-.f64 (*.f64 eps eps) (*.f64 eps (log1p.f64 eps))))) |
(/.f64 (neg.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 2)) (neg.f64 (+.f64 eps (log1p.f64 eps)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 eps 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 eps (+.f64 eps (log1p.f64 eps)))))) |
(pow.f64 (+.f64 eps (log1p.f64 eps)) 1) |
(pow.f64 (sqrt.f64 (+.f64 eps (log1p.f64 eps))) 2) |
(pow.f64 (cbrt.f64 (+.f64 eps (log1p.f64 eps))) 3) |
(pow.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 2)) |
(log.f64 (exp.f64 (+.f64 eps (log1p.f64 eps)))) |
(cbrt.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 eps (log1p.f64 eps)))) |
(exp.f64 (log.f64 (+.f64 eps (log1p.f64 eps)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 eps (log1p.f64 eps))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 eps (log1p.f64 eps)))) |
(fma.f64 1 (log1p.f64 eps) eps) |
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) eps) |
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) eps) |
| Outputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -2 eps)) |
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 -2 eps)) |
(fma.f64 -2 eps (*.f64 eps (*.f64 eps -1/2))) |
(*.f64 eps (+.f64 -2 (*.f64 eps -1/2))) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -2 eps) (*.f64 -1/3 (pow.f64 eps 3)))) |
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -2 eps (*.f64 -1/3 (pow.f64 eps 3)))) |
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/3 (pow.f64 eps 3) (*.f64 -2 eps))) |
(fma.f64 -2 eps (*.f64 (*.f64 eps eps) (+.f64 -1/2 (*.f64 eps -1/3)))) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -1/4 (pow.f64 eps 4)) (*.f64 -1/3 (pow.f64 eps 3))))) |
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -2 eps (fma.f64 -1/4 (pow.f64 eps 4) (*.f64 -1/3 (pow.f64 eps 3))))) |
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -2 eps (fma.f64 -1/3 (pow.f64 eps 3) (*.f64 -1/4 (pow.f64 eps 4))))) |
(fma.f64 eps (*.f64 eps -1/2) (fma.f64 -1/3 (pow.f64 eps 3) (fma.f64 -1/4 (pow.f64 eps 4) (*.f64 -2 eps)))) |
(*.f64 -1 eps) |
(neg.f64 eps) |
(+.f64 (*.f64 -1 eps) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps))))) |
(fma.f64 -1 eps (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps))))) |
(-.f64 (+.f64 (log.f64 -1) (log.f64 eps)) eps) |
(+.f64 (log.f64 -1) (-.f64 (log.f64 eps) eps)) |
(-.f64 (log.f64 eps) (-.f64 eps (log.f64 -1))) |
(-.f64 (+.f64 (*.f64 -1 eps) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps))))) (/.f64 1 eps)) |
(-.f64 (fma.f64 -1 eps (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps))))) (/.f64 1 eps)) |
(+.f64 (-.f64 (+.f64 (log.f64 -1) (log.f64 eps)) eps) (/.f64 -1 eps)) |
(+.f64 (log.f64 -1) (+.f64 (-.f64 (log.f64 eps) eps) (/.f64 -1 eps))) |
(+.f64 (log.f64 -1) (+.f64 (log.f64 eps) (-.f64 (/.f64 -1 eps) eps))) |
(-.f64 (+.f64 (*.f64 -1 eps) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps))))) (+.f64 (/.f64 1 eps) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))))) |
(-.f64 (fma.f64 -1 eps (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps))))) (+.f64 (/.f64 1 eps) (/.f64 1/2 (*.f64 eps eps)))) |
(+.f64 (-.f64 (+.f64 (log.f64 -1) (log.f64 eps)) eps) (-.f64 (/.f64 -1 eps) (/.f64 (/.f64 1/2 eps) eps))) |
(+.f64 (log.f64 -1) (+.f64 (-.f64 (log.f64 eps) eps) (+.f64 (/.f64 -1 eps) (/.f64 -1/2 (*.f64 eps eps))))) |
(-.f64 (-.f64 (log.f64 -1) (-.f64 (/.f64 1 eps) (log.f64 eps))) (+.f64 eps (/.f64 1/2 (*.f64 eps eps)))) |
(*.f64 -1 eps) |
(neg.f64 eps) |
(+.f64 (*.f64 -1 eps) (*.f64 -1 (log.f64 (/.f64 -1 eps)))) |
(*.f64 -1 (+.f64 eps (log.f64 (/.f64 -1 eps)))) |
(-.f64 (neg.f64 eps) (log.f64 (/.f64 -1 eps))) |
(-.f64 (+.f64 (*.f64 -1 eps) (*.f64 -1 (log.f64 (/.f64 -1 eps)))) (/.f64 1 eps)) |
(-.f64 (*.f64 -1 (+.f64 eps (log.f64 (/.f64 -1 eps)))) (/.f64 1 eps)) |
(fma.f64 -1 (+.f64 eps (log.f64 (/.f64 -1 eps))) (/.f64 -1 eps)) |
(-.f64 (/.f64 -1 eps) (+.f64 eps (log.f64 (/.f64 -1 eps)))) |
(-.f64 (-.f64 (/.f64 -1 eps) (log.f64 (/.f64 -1 eps))) eps) |
(-.f64 (+.f64 (*.f64 -1 eps) (*.f64 -1 (log.f64 (/.f64 -1 eps)))) (+.f64 (/.f64 1 eps) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2))))) |
(-.f64 (*.f64 -1 (+.f64 eps (log.f64 (/.f64 -1 eps)))) (+.f64 (/.f64 1 eps) (/.f64 1/2 (*.f64 eps eps)))) |
(-.f64 (fma.f64 -1 (+.f64 eps (log.f64 (/.f64 -1 eps))) (/.f64 -1 eps)) (/.f64 (/.f64 1/2 eps) eps)) |
(+.f64 (-.f64 (/.f64 -1 eps) (+.f64 eps (log.f64 (/.f64 -1 eps)))) (/.f64 -1/2 (*.f64 eps eps))) |
(-.f64 (+.f64 (-.f64 (/.f64 -1 eps) (log.f64 (/.f64 -1 eps))) (/.f64 -1/2 (*.f64 eps eps))) eps) |
(+.f64 eps (log1p.f64 eps)) |
(+.f64 (log1p.f64 eps) eps) |
(+.f64 eps (log1p.f64 eps)) |
(+.f64 (+.f64 eps (log1p.f64 eps)) (fma.f64 eps 1 eps)) |
(+.f64 eps (+.f64 (log1p.f64 eps) (fma.f64 eps 1 eps))) |
(+.f64 eps (+.f64 (log1p.f64 eps) (+.f64 eps eps))) |
(+.f64 (+.f64 eps (log1p.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) eps)) |
(+.f64 eps (+.f64 (log1p.f64 eps) (fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) eps))) |
(+.f64 (log1p.f64 eps) (+.f64 eps (-.f64 eps eps))) |
(+.f64 (+.f64 eps (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps)) |
(+.f64 (+.f64 eps (log1p.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) eps)) |
(+.f64 eps (+.f64 (log1p.f64 eps) (fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) eps))) |
(+.f64 (log1p.f64 eps) (+.f64 eps (-.f64 eps eps))) |
(*.f64 (+.f64 eps (log1p.f64 eps)) 1) |
(+.f64 eps (log1p.f64 eps)) |
(*.f64 1 (+.f64 eps (log1p.f64 eps))) |
(+.f64 eps (log1p.f64 eps)) |
(*.f64 (sqrt.f64 (+.f64 eps (log1p.f64 eps))) (sqrt.f64 (+.f64 eps (log1p.f64 eps)))) |
(+.f64 eps (log1p.f64 eps)) |
(*.f64 (cbrt.f64 (+.f64 eps (log1p.f64 eps))) (pow.f64 (cbrt.f64 (+.f64 eps (log1p.f64 eps))) 2)) |
(+.f64 eps (log1p.f64 eps)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 eps (log1p.f64 eps))) 2) (cbrt.f64 (+.f64 eps (log1p.f64 eps)))) |
(+.f64 eps (log1p.f64 eps)) |
(*.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 2) (/.f64 1 (+.f64 eps (log1p.f64 eps)))) |
(+.f64 eps (log1p.f64 eps)) |
(*.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 eps 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 eps (+.f64 eps (log1p.f64 eps)))))) |
(*.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 eps (+.f64 eps (log1p.f64 eps)))))) |
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 eps (+.f64 eps (log1p.f64 eps)) (pow.f64 (log1p.f64 eps) 2))) |
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 eps)) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 eps))) |
(*.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 eps))) |
(/.f64 1 (/.f64 (+.f64 eps (log1p.f64 eps)) (pow.f64 (+.f64 eps (log1p.f64 eps)) 2))) |
(+.f64 eps (log1p.f64 eps)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 eps (+.f64 eps (log1p.f64 eps)))) (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 eps 3)))) |
(*.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 eps (+.f64 eps (log1p.f64 eps)))))) |
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 eps (+.f64 eps (log1p.f64 eps)) (pow.f64 (log1p.f64 eps) 2))) |
(/.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 2) (+.f64 eps (log1p.f64 eps))) |
(+.f64 eps (log1p.f64 eps)) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 eps 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 eps (+.f64 eps (log1p.f64 eps))))) |
(*.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 eps (+.f64 eps (log1p.f64 eps)))))) |
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 eps (+.f64 eps (log1p.f64 eps)) (pow.f64 (log1p.f64 eps) 2))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 eps 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (-.f64 (*.f64 eps eps) (*.f64 eps (log1p.f64 eps))))) |
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 eps (-.f64 eps (log1p.f64 eps))))) |
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 eps (-.f64 eps (log1p.f64 eps)) (pow.f64 (log1p.f64 eps) 2))) |
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 eps eps (*.f64 (log1p.f64 eps) (-.f64 (log1p.f64 eps) eps)))) |
(/.f64 (neg.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 2)) (neg.f64 (+.f64 eps (log1p.f64 eps)))) |
(+.f64 eps (log1p.f64 eps)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 eps 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 eps (+.f64 eps (log1p.f64 eps)))))) |
(*.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 eps (+.f64 eps (log1p.f64 eps)))))) |
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (log1p.f64 eps) 3)) (fma.f64 eps (+.f64 eps (log1p.f64 eps)) (pow.f64 (log1p.f64 eps) 2))) |
(pow.f64 (+.f64 eps (log1p.f64 eps)) 1) |
(+.f64 eps (log1p.f64 eps)) |
(pow.f64 (sqrt.f64 (+.f64 eps (log1p.f64 eps))) 2) |
(+.f64 eps (log1p.f64 eps)) |
(pow.f64 (cbrt.f64 (+.f64 eps (log1p.f64 eps))) 3) |
(+.f64 eps (log1p.f64 eps)) |
(pow.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 3) 1/3) |
(+.f64 eps (log1p.f64 eps)) |
(sqrt.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 2)) |
(+.f64 eps (log1p.f64 eps)) |
(log.f64 (exp.f64 (+.f64 eps (log1p.f64 eps)))) |
(+.f64 eps (log1p.f64 eps)) |
(cbrt.f64 (pow.f64 (+.f64 eps (log1p.f64 eps)) 3)) |
(+.f64 eps (log1p.f64 eps)) |
(expm1.f64 (log1p.f64 (+.f64 eps (log1p.f64 eps)))) |
(+.f64 eps (log1p.f64 eps)) |
(exp.f64 (log.f64 (+.f64 eps (log1p.f64 eps)))) |
(+.f64 eps (log1p.f64 eps)) |
(exp.f64 (*.f64 (log.f64 (+.f64 eps (log1p.f64 eps))) 1)) |
(+.f64 eps (log1p.f64 eps)) |
(log1p.f64 (expm1.f64 (+.f64 eps (log1p.f64 eps)))) |
(+.f64 eps (log1p.f64 eps)) |
(fma.f64 1 (log1p.f64 eps) eps) |
(+.f64 eps (log1p.f64 eps)) |
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) eps) |
(+.f64 eps (log1p.f64 eps)) |
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) eps) |
(+.f64 eps (log1p.f64 eps)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 -1 eps) (+.f64 eps -1)) |
| ✓ | 4.6b | (log.f64 (/.f64 (-.f64 -1 eps) (+.f64 eps -1))) |
Compiled 33 to 24 computations (27.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (log.f64 (/.f64 (-.f64 -1 eps) (+.f64 eps -1))) |
| 0.0ms | eps | @ | inf | (log.f64 (/.f64 (-.f64 -1 eps) (+.f64 eps -1))) |
| 0.0ms | eps | @ | -inf | (log.f64 (/.f64 (-.f64 -1 eps) (+.f64 eps -1))) |
| 0.0ms | eps | @ | inf | (/.f64 (-.f64 -1 eps) (+.f64 eps -1)) |
| 0.0ms | eps | @ | 0 | (/.f64 (-.f64 -1 eps) (+.f64 eps -1)) |
| 1× | batch-egg-rewrite |
| 1504× | associate-*l/ |
| 1416× | associate-/r* |
| 1094× | associate-/l* |
| 944× | *-commutative |
| 814× | associate-/r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 42 |
| 1 | 200 | 42 |
| 2 | 2778 | 40 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 (-.f64 -1 eps) (+.f64 eps -1))) |
(/.f64 (-.f64 -1 eps) (+.f64 eps -1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 -1 eps)) (log.f64 (/.f64 -1 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 -1 eps)) (neg.f64 (log.f64 (-.f64 eps 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 -1 (-.f64 1 eps))) (log.f64 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)))) (log.f64 (sqrt.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 -1 eps)) 2)) (+.f64 (log.f64 (cbrt.f64 (-.f64 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(log.f64 (-.f64 1 eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (-.f64 eps 1) (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (-.f64 eps 1)) (neg.f64 (/.f64 eps (-.f64 eps 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 eps (-.f64 eps 1))) (/.f64 -1 (-.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (-.f64 eps 1)) (/.f64 eps (-.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 eps) (/.f64 -1 (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1))) (sqrt.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 -1 eps)) (/.f64 (sqrt.f64 (-.f64 -1 eps)) (-.f64 eps 1)))))) (#(struct:change #<rule 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(-.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 eps 1) (/.f64 (-.f64 -1 eps) (fma.f64 eps eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 -1 eps)) (/.f64 -1 (-.f64 1 eps))) (pow.f64 (cbrt.f64 (-.f64 -1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 eps 1))) (/.f64 (-.f64 -1 eps) (sqrt.f64 (-.f64 eps 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 eps 1)) 2)) (/.f64 (-.f64 -1 eps) (cbrt.f64 (-.f64 eps 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 eps) (sqrt.f64 (-.f64 eps 1))) (/.f64 1 (sqrt.f64 (-.f64 eps 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 eps) (cbrt.f64 (-.f64 eps 1))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 eps 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 eps eps -1)) (*.f64 (-.f64 -1 eps) (+.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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eps)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 -1 eps) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)))))))) |
| 1× | egg-herbie |
| 1338× | associate-*r/ |
| 1180× | associate-*l/ |
| 968× | associate-+r+ |
| 966× | +-commutative |
| 714× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 356 | 5791 |
| 1 | 1044 | 5221 |
| 2 | 4025 | 5171 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 eps) |
(+.f64 (*.f64 2 eps) (*.f64 2/3 (pow.f64 eps 3))) |
(+.f64 (*.f64 2 eps) (+.f64 (*.f64 2/5 (pow.f64 eps 5)) (*.f64 2/3 (pow.f64 eps 3)))) |
(+.f64 (*.f64 2/7 (pow.f64 eps 7)) (+.f64 (*.f64 2 eps) (+.f64 (*.f64 2/5 (pow.f64 eps 5)) (*.f64 2/3 (pow.f64 eps 3))))) |
(log.f64 -1) |
(+.f64 (*.f64 2 (/.f64 1 eps)) (log.f64 -1)) |
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))) |
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
(log.f64 -1) |
(+.f64 (*.f64 2 (/.f64 1 eps)) (log.f64 -1)) |
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))) |
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
1 |
(+.f64 (*.f64 2 eps) 1) |
(+.f64 (*.f64 2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1)) |
(+.f64 (*.f64 2 eps) (+.f64 (*.f64 2 (pow.f64 eps 3)) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1))) |
-1 |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) 1)) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2))))))) |
-1 |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) 1)) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2))))))) |
(+.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))) 0) |
(+.f64 (log.f64 (-.f64 -1 eps)) (log.f64 (/.f64 -1 (-.f64 1 eps)))) |
(+.f64 (log.f64 (-.f64 -1 eps)) (neg.f64 (log.f64 (-.f64 eps 1)))) |
(+.f64 (log.f64 (/.f64 -1 (-.f64 1 eps))) (log.f64 (-.f64 -1 eps))) |
(+.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)))) (log.f64 (sqrt.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1))))) |
(+.f64 0 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps)))) |
(+.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1))) 2))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 -1 eps)) 2)) (+.f64 (log.f64 (cbrt.f64 (-.f64 -1 eps))) (log.f64 (/.f64 -1 (-.f64 1 eps))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 -1 eps)) 2)) (+.f64 (log.f64 (cbrt.f64 (-.f64 -1 eps))) (neg.f64 (log.f64 (-.f64 eps 1))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 -1 eps)) 2)) (-.f64 (log.f64 (cbrt.f64 (-.f64 -1 eps))) (log.f64 (-.f64 eps 1)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1))) 2)) (log.f64 (cbrt.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1))))) |
(+.f64 (log.f64 (sqrt.f64 (-.f64 -1 eps))) (+.f64 (log.f64 (sqrt.f64 (-.f64 -1 eps))) (log.f64 (/.f64 -1 (-.f64 1 eps))))) |
(+.f64 (log.f64 (sqrt.f64 (-.f64 -1 eps))) (+.f64 (log.f64 (sqrt.f64 (-.f64 -1 eps))) (neg.f64 (log.f64 (-.f64 eps 1))))) |
(+.f64 (log.f64 (sqrt.f64 (-.f64 -1 eps))) (-.f64 (log.f64 (sqrt.f64 (-.f64 -1 eps))) (log.f64 (-.f64 eps 1)))) |
(+.f64 (neg.f64 (log.f64 (-.f64 eps 1))) (log.f64 (-.f64 -1 eps))) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1))))) (log.f64 (sqrt.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1))))) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1))) 2))) (log.f64 (cbrt.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1))))) |
(+.f64 (-.f64 (log.f64 (-.f64 -1 eps)) (log.f64 (fma.f64 eps eps -1))) (log1p.f64 eps)) |
(+.f64 (-.f64 (log.f64 (-.f64 -1 eps)) (log.f64 (+.f64 -1 (pow.f64 eps 3)))) (log.f64 (fma.f64 eps eps (+.f64 eps 1)))) |
(-.f64 (log.f64 (-.f64 -1 eps)) (log.f64 (-.f64 eps 1))) |
(-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))) |
(-.f64 (log.f64 (-.f64 -1 (pow.f64 eps 3))) (-.f64 (log.f64 (+.f64 1 (*.f64 eps (-.f64 eps 1)))) (log.f64 (/.f64 -1 (-.f64 1 eps))))) |
(-.f64 (log.f64 (-.f64 -1 (pow.f64 eps 3))) (-.f64 (log.f64 (+.f64 1 (*.f64 eps (-.f64 eps 1)))) (neg.f64 (log.f64 (-.f64 eps 1))))) |
(-.f64 (log.f64 (-.f64 -1 (pow.f64 eps 3))) (+.f64 (log.f64 (+.f64 1 (*.f64 eps (-.f64 eps 1)))) (log.f64 (-.f64 eps 1)))) |
(-.f64 0 (log.f64 (/.f64 (-.f64 eps 1) (-.f64 -1 eps)))) |
(-.f64 (log.f64 (-.f64 1 (*.f64 eps eps))) (+.f64 (log.f64 (-.f64 eps 1)) (log.f64 (-.f64 eps 1)))) |
(-.f64 (log.f64 (-.f64 1 (*.f64 eps eps))) (-.f64 (log.f64 (-.f64 eps 1)) (log.f64 (/.f64 -1 (-.f64 1 eps))))) |
(-.f64 (log.f64 (-.f64 1 (*.f64 eps eps))) (-.f64 (log.f64 (-.f64 eps 1)) (neg.f64 (log.f64 (-.f64 eps 1))))) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))))) 1) |
(-.f64 (+.f64 0 (log1p.f64 eps)) (log.f64 (-.f64 1 eps))) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps)))))) 1) |
(-.f64 (-.f64 (log.f64 (-.f64 -1 eps)) (log.f64 (sqrt.f64 (-.f64 eps 1)))) (log.f64 (sqrt.f64 (-.f64 eps 1)))) |
(-.f64 (-.f64 (log.f64 (-.f64 -1 eps)) 0) (log.f64 (-.f64 eps 1))) |
(-.f64 (-.f64 (log.f64 (-.f64 -1 eps)) (log.f64 (pow.f64 (cbrt.f64 (-.f64 eps 1)) 2))) (log.f64 (cbrt.f64 (-.f64 eps 1)))) |
(*.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))) 1) |
(*.f64 1 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps)))) |
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps)))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))))) |
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps)))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))))) |
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 -1 eps)) (log.f64 (-.f64 -1 eps))) (*.f64 (log.f64 (-.f64 eps 1)) (log.f64 (-.f64 eps 1)))) (+.f64 (log.f64 (-.f64 -1 eps)) (log.f64 (-.f64 eps 1)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 -1 eps)) 3) (pow.f64 (log.f64 (-.f64 eps 1)) 3)) (+.f64 (*.f64 (log.f64 (-.f64 -1 eps)) (log.f64 (-.f64 -1 eps))) (+.f64 (*.f64 (log.f64 (-.f64 eps 1)) (log.f64 (-.f64 eps 1))) (*.f64 (log.f64 (-.f64 -1 eps)) (log.f64 (-.f64 eps 1)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (log.f64 (-.f64 -1 eps)) (log.f64 (-.f64 -1 eps))) (*.f64 (log.f64 (-.f64 eps 1)) (log.f64 (-.f64 eps 1)))) 1) (+.f64 (log.f64 (-.f64 -1 eps)) (log.f64 (-.f64 eps 1)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (-.f64 -1 eps)) 3) (pow.f64 (log.f64 (-.f64 eps 1)) 3)) 1) (+.f64 (*.f64 (log.f64 (-.f64 -1 eps)) (log.f64 (-.f64 -1 eps))) (+.f64 (*.f64 (log.f64 (-.f64 eps 1)) (log.f64 (-.f64 eps 1))) (*.f64 (log.f64 (-.f64 -1 eps)) (log.f64 (-.f64 eps 1)))))) |
(pow.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))) 1) |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps)))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps)))) 3) |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))) 3) 1/3) |
(neg.f64 (log.f64 (/.f64 (-.f64 eps 1) (-.f64 -1 eps)))) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))) 2)) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))))) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))))) |
(log1p.f64 (-.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)) 1)) |
(+.f64 (/.f64 -1 (-.f64 eps 1)) (neg.f64 (/.f64 eps (-.f64 eps 1)))) |
(+.f64 (neg.f64 (/.f64 eps (-.f64 eps 1))) (/.f64 -1 (-.f64 eps 1))) |
(-.f64 (/.f64 -1 (-.f64 eps 1)) (/.f64 eps (-.f64 eps 1))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)))) 1) |
(*.f64 (-.f64 -1 eps) (/.f64 -1 (-.f64 1 eps))) |
(*.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)) 1) |
(*.f64 1 (/.f64 (-.f64 -1 eps) (-.f64 eps 1))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1))) (sqrt.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)))) |
(*.f64 (sqrt.f64 (-.f64 -1 eps)) (/.f64 (sqrt.f64 (-.f64 -1 eps)) (-.f64 eps 1))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 eps)) 2) (pow.f64 (cbrt.f64 (-.f64 eps 1)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1))) 2) (cbrt.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 eps)) 2) (*.f64 (cbrt.f64 (-.f64 -1 eps)) (/.f64 -1 (-.f64 1 eps)))) |
(*.f64 (/.f64 -1 (-.f64 1 eps)) (-.f64 -1 eps)) |
(*.f64 (fma.f64 eps eps (+.f64 eps 1)) (/.f64 (-.f64 -1 eps) (+.f64 -1 (pow.f64 eps 3)))) |
(*.f64 (/.f64 -1 (-.f64 eps 1)) (+.f64 eps 1)) |
(*.f64 (+.f64 eps 1) (/.f64 -1 (-.f64 eps 1))) |
(*.f64 (+.f64 eps 1) (/.f64 (-.f64 -1 eps) (fma.f64 eps eps -1))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 -1 eps)) (/.f64 -1 (-.f64 1 eps))) (pow.f64 (cbrt.f64 (-.f64 -1 eps)) 2)) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 eps 1))) (/.f64 (-.f64 -1 eps) (sqrt.f64 (-.f64 eps 1)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 eps 1)) 2)) (/.f64 (-.f64 -1 eps) (cbrt.f64 (-.f64 eps 1)))) |
(*.f64 (/.f64 (-.f64 -1 eps) (sqrt.f64 (-.f64 eps 1))) (/.f64 1 (sqrt.f64 (-.f64 eps 1)))) |
(*.f64 (/.f64 (-.f64 -1 eps) (cbrt.f64 (-.f64 eps 1))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 eps 1)) 2))) |
(*.f64 (/.f64 1 (fma.f64 eps eps -1)) (*.f64 (-.f64 -1 eps) (+.f64 eps 1))) |
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 eps 3))) (*.f64 (-.f64 -1 eps) (fma.f64 eps eps (+.f64 eps 1)))) |
(*.f64 (/.f64 (-.f64 -1 eps) (fma.f64 eps eps -1)) (+.f64 eps 1)) |
(*.f64 (/.f64 (-.f64 -1 eps) (+.f64 -1 (pow.f64 eps 3))) (fma.f64 eps eps (+.f64 eps 1))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 eps)) (-.f64 eps 1)) (sqrt.f64 (-.f64 -1 eps))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 eps)) (pow.f64 (cbrt.f64 (-.f64 eps 1)) 2)) (/.f64 (sqrt.f64 (-.f64 -1 eps)) (cbrt.f64 (-.f64 eps 1)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 eps)) (cbrt.f64 (-.f64 eps 1))) (/.f64 (sqrt.f64 (-.f64 -1 eps)) (pow.f64 (cbrt.f64 (-.f64 eps 1)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 eps)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -1 eps)) (-.f64 eps 1))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 -1 eps)) (-.f64 eps 1)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 eps)) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 eps)) 2) (sqrt.f64 (-.f64 eps 1))) (/.f64 (cbrt.f64 (-.f64 -1 eps)) (sqrt.f64 (-.f64 eps 1)))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 -1 eps)) (sqrt.f64 (-.f64 eps 1))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 eps)) 2) (sqrt.f64 (-.f64 eps 1)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 eps)) 2) (pow.f64 (cbrt.f64 (-.f64 eps 1)) 2)) (cbrt.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 eps)) 2) (-.f64 eps 1)) (cbrt.f64 (-.f64 -1 eps))) |
(*.f64 (/.f64 (-.f64 -1 eps) (-.f64 1 (*.f64 eps eps))) (-.f64 -1 eps)) |
(*.f64 (/.f64 (-.f64 -1 eps) (neg.f64 (fma.f64 eps eps -1))) (neg.f64 (+.f64 eps 1))) |
(*.f64 (/.f64 (-.f64 -1 eps) (neg.f64 (+.f64 -1 (pow.f64 eps 3)))) (neg.f64 (fma.f64 eps eps (+.f64 eps 1)))) |
(*.f64 (/.f64 1 (/.f64 (-.f64 eps 1) (pow.f64 (cbrt.f64 (-.f64 -1 eps)) 2))) (cbrt.f64 (-.f64 -1 eps))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 eps eps)) (*.f64 (fma.f64 eps eps -1) (fma.f64 eps eps -1))) (*.f64 (+.f64 eps 1) (+.f64 eps 1))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 eps eps)) (*.f64 (+.f64 -1 (pow.f64 eps 3)) (+.f64 -1 (pow.f64 eps 3)))) (*.f64 (fma.f64 eps eps (+.f64 eps 1)) (fma.f64 eps eps (+.f64 eps 1)))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 eps eps)) (*.f64 (fma.f64 eps eps -1) (+.f64 -1 (pow.f64 eps 3)))) (*.f64 (fma.f64 eps eps (+.f64 eps 1)) (+.f64 eps 1))) |
(*.f64 (/.f64 (+.f64 eps 1) (neg.f64 (fma.f64 eps eps -1))) (+.f64 eps 1)) |
(*.f64 (/.f64 (+.f64 eps 1) (neg.f64 (+.f64 -1 (pow.f64 eps 3)))) (fma.f64 eps eps (+.f64 eps 1))) |
(*.f64 (/.f64 (*.f64 (/.f64 -1 (-.f64 1 eps)) (-.f64 -1 (pow.f64 eps 3))) (-.f64 1 (*.f64 (*.f64 eps (-.f64 eps 1)) (*.f64 eps (-.f64 eps 1))))) (-.f64 1 (*.f64 eps (-.f64 eps 1)))) |
(*.f64 (/.f64 (*.f64 (/.f64 -1 (-.f64 1 eps)) (-.f64 -1 (pow.f64 eps 3))) (+.f64 1 (pow.f64 (*.f64 eps (-.f64 eps 1)) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 eps (-.f64 eps 1)) (*.f64 eps (-.f64 eps 1))) (*.f64 eps (-.f64 eps 1))))) |
(*.f64 (/.f64 (/.f64 (-.f64 -1 eps) (sqrt.f64 (-.f64 eps 1))) (sqrt.f64 (fma.f64 eps eps -1))) (sqrt.f64 (+.f64 eps 1))) |
(*.f64 (/.f64 (/.f64 (-.f64 -1 eps) (sqrt.f64 (-.f64 eps 1))) (sqrt.f64 (+.f64 -1 (pow.f64 eps 3)))) (sqrt.f64 (fma.f64 eps eps (+.f64 eps 1)))) |
(*.f64 (/.f64 (/.f64 (-.f64 -1 eps) (pow.f64 (cbrt.f64 (-.f64 eps 1)) 2)) (cbrt.f64 (fma.f64 eps eps -1))) (cbrt.f64 (+.f64 eps 1))) |
(*.f64 (/.f64 (/.f64 (-.f64 -1 eps) (pow.f64 (cbrt.f64 (-.f64 eps 1)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 eps 3)))) (cbrt.f64 (fma.f64 eps eps (+.f64 eps 1)))) |
(*.f64 (/.f64 (-.f64 (-.f64 1 eps) (*.f64 eps (-.f64 eps 1))) (*.f64 (fma.f64 eps eps -1) (fma.f64 eps eps -1))) (*.f64 (+.f64 eps 1) (+.f64 eps 1))) |
(*.f64 (/.f64 (-.f64 (-.f64 1 eps) (*.f64 eps (-.f64 eps 1))) (*.f64 (+.f64 -1 (pow.f64 eps 3)) (+.f64 -1 (pow.f64 eps 3)))) (*.f64 (fma.f64 eps eps (+.f64 eps 1)) (fma.f64 eps eps (+.f64 eps 1)))) |
(*.f64 (/.f64 (-.f64 (-.f64 1 eps) (*.f64 eps (-.f64 eps 1))) (*.f64 (-.f64 eps 1) (fma.f64 eps eps -1))) (+.f64 eps 1)) |
(*.f64 (/.f64 (-.f64 (-.f64 1 eps) (*.f64 eps (-.f64 eps 1))) (*.f64 (-.f64 eps 1) (+.f64 -1 (pow.f64 eps 3)))) (fma.f64 eps eps (+.f64 eps 1))) |
(*.f64 (/.f64 (-.f64 (-.f64 1 eps) (*.f64 eps (-.f64 eps 1))) (*.f64 (fma.f64 eps eps -1) (+.f64 -1 (pow.f64 eps 3)))) (*.f64 (fma.f64 eps eps (+.f64 eps 1)) (+.f64 eps 1))) |
(pow.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1))) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)) 3) 1/3) |
(pow.f64 (/.f64 (-.f64 eps 1) (-.f64 -1 eps)) -1) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))))) |
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))))) |
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps)))) |
(neg.f64 (/.f64 (-.f64 -1 eps) (-.f64 1 eps))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)))) |
(exp.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps)))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)))) |
| Outputs |
|---|
(*.f64 2 eps) |
(+.f64 (*.f64 2 eps) (*.f64 2/3 (pow.f64 eps 3))) |
(fma.f64 2 eps (*.f64 2/3 (pow.f64 eps 3))) |
(fma.f64 2/3 (pow.f64 eps 3) (*.f64 2 eps)) |
(+.f64 (*.f64 2 eps) (+.f64 (*.f64 2/5 (pow.f64 eps 5)) (*.f64 2/3 (pow.f64 eps 3)))) |
(fma.f64 2 eps (fma.f64 2/5 (pow.f64 eps 5) (*.f64 2/3 (pow.f64 eps 3)))) |
(fma.f64 2 eps (fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5)))) |
(+.f64 (*.f64 2/7 (pow.f64 eps 7)) (+.f64 (*.f64 2 eps) (+.f64 (*.f64 2/5 (pow.f64 eps 5)) (*.f64 2/3 (pow.f64 eps 3))))) |
(fma.f64 2/7 (pow.f64 eps 7) (fma.f64 2 eps (fma.f64 2/5 (pow.f64 eps 5) (*.f64 2/3 (pow.f64 eps 3))))) |
(fma.f64 2/7 (pow.f64 eps 7) (fma.f64 2 eps (fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5))))) |
(log.f64 -1) |
(+.f64 (*.f64 2 (/.f64 1 eps)) (log.f64 -1)) |
(+.f64 (log.f64 -1) (/.f64 2 eps)) |
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))) |
(+.f64 (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (log.f64 -1)) (/.f64 2 eps)) |
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3)))) |
(+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (log.f64 -1) (/.f64 2 eps))) |
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
(+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (+.f64 (log.f64 -1) (/.f64 2 eps)) (/.f64 2/5 (pow.f64 eps 5)))) |
(+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5))))) |
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5))))) |
(log.f64 -1) |
(+.f64 (*.f64 2 (/.f64 1 eps)) (log.f64 -1)) |
(+.f64 (log.f64 -1) (/.f64 2 eps)) |
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))) |
(+.f64 (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (log.f64 -1)) (/.f64 2 eps)) |
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3)))) |
(+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (log.f64 -1) (/.f64 2 eps))) |
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
(+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (+.f64 (log.f64 -1) (/.f64 2 eps)) (/.f64 2/5 (pow.f64 eps 5)))) |
(+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5))))) |
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5))))) |
1 |
(+.f64 (*.f64 2 eps) 1) |
(fma.f64 2 eps 1) |
(+.f64 (*.f64 2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1)) |
(fma.f64 2 eps (fma.f64 2 (*.f64 eps eps) 1)) |
(+.f64 (*.f64 2 eps) (+.f64 (*.f64 2 (pow.f64 eps 3)) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1))) |
(fma.f64 2 eps (fma.f64 2 (pow.f64 eps 3) (fma.f64 2 (*.f64 eps eps) 1))) |
-1 |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) 1)) |
(+.f64 (neg.f64 (/.f64 2 eps)) -1) |
(+.f64 -1 (/.f64 -2 eps)) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))) |
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 eps)) (/.f64 2 (*.f64 eps eps)))) |
(-.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 (/.f64 2 eps) eps))) |
(+.f64 -1 (-.f64 (/.f64 -2 eps) (/.f64 2 (*.f64 eps eps)))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2))))))) |
(neg.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 2 eps)) (/.f64 2 (*.f64 eps eps))) (/.f64 2 (pow.f64 eps 3)))) |
(-.f64 (/.f64 -2 (pow.f64 eps 3)) (+.f64 1 (+.f64 (/.f64 2 eps) (/.f64 (/.f64 2 eps) eps)))) |
(+.f64 -1 (+.f64 (-.f64 (/.f64 -2 eps) (/.f64 2 (*.f64 eps eps))) (/.f64 -2 (pow.f64 eps 3)))) |
-1 |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) 1)) |
(+.f64 (neg.f64 (/.f64 2 eps)) -1) |
(+.f64 -1 (/.f64 -2 eps)) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))) |
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 eps)) (/.f64 2 (*.f64 eps eps)))) |
(-.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 (/.f64 2 eps) eps))) |
(+.f64 -1 (-.f64 (/.f64 -2 eps) (/.f64 2 (*.f64 eps eps)))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2))))))) |
(neg.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 2 eps)) (/.f64 2 (*.f64 eps eps))) (/.f64 2 (pow.f64 eps 3)))) |
(-.f64 (/.f64 -2 (pow.f64 eps 3)) (+.f64 1 (+.f64 (/.f64 2 eps) (/.f64 (/.f64 2 eps) eps)))) |
(+.f64 -1 (+.f64 (-.f64 (/.f64 -2 eps) (/.f64 2 (*.f64 eps eps))) (/.f64 -2 (pow.f64 eps 3)))) |
(+.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))) 0) |
(-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))) |
(-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) |
(+.f64 (log.f64 (-.f64 -1 eps)) (log.f64 (/.f64 -1 (-.f64 1 eps)))) |
(+.f64 (log.f64 (-.f64 -1 eps)) (neg.f64 (log.f64 (-.f64 eps 1)))) |
(-.f64 (log.f64 (-.f64 -1 eps)) (log.f64 (+.f64 eps -1))) |
(+.f64 (log.f64 (/.f64 -1 (-.f64 1 eps))) (log.f64 (-.f64 -1 eps))) |
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(/.f64 (/.f64 (-.f64 -1 eps) (pow.f64 (cbrt.f64 (+.f64 eps -1)) 2)) (/.f64 (cbrt.f64 (fma.f64 eps eps -1)) (cbrt.f64 (+.f64 eps 1)))) |
(*.f64 (/.f64 (-.f64 -1 eps) (*.f64 (pow.f64 (cbrt.f64 (+.f64 eps -1)) 2) (cbrt.f64 (fma.f64 eps eps -1)))) (cbrt.f64 (+.f64 eps 1))) |
(*.f64 (/.f64 (/.f64 (-.f64 -1 eps) (pow.f64 (cbrt.f64 (-.f64 eps 1)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 eps 3)))) (cbrt.f64 (fma.f64 eps eps (+.f64 eps 1)))) |
(*.f64 (/.f64 (-.f64 -1 eps) (*.f64 (cbrt.f64 (+.f64 (pow.f64 eps 3) -1)) (pow.f64 (cbrt.f64 (+.f64 eps -1)) 2))) (cbrt.f64 (fma.f64 eps eps (+.f64 eps 1)))) |
(*.f64 (/.f64 (-.f64 -1 eps) (*.f64 (pow.f64 (cbrt.f64 (+.f64 eps -1)) 2) (cbrt.f64 (+.f64 (pow.f64 eps 3) -1)))) (cbrt.f64 (fma.f64 eps eps (+.f64 eps 1)))) |
(*.f64 (/.f64 (-.f64 (-.f64 1 eps) (*.f64 eps (-.f64 eps 1))) (*.f64 (fma.f64 eps eps -1) (fma.f64 eps eps -1))) (*.f64 (+.f64 eps 1) (+.f64 eps 1))) |
(*.f64 (*.f64 (+.f64 eps 1) (+.f64 eps 1)) (/.f64 (-.f64 1 (+.f64 eps (*.f64 eps (+.f64 eps -1)))) (*.f64 (fma.f64 eps eps -1) (fma.f64 eps eps -1)))) |
(/.f64 (*.f64 (*.f64 (+.f64 eps 1) (+.f64 eps 1)) (+.f64 (-.f64 1 eps) (*.f64 eps (-.f64 1 eps)))) (*.f64 (fma.f64 eps eps -1) (fma.f64 eps eps -1))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 (+.f64 eps 0) eps)) (fma.f64 eps eps -1)) (/.f64 (*.f64 (-.f64 -1 eps) (-.f64 -1 eps)) (fma.f64 eps eps -1))) |
(*.f64 (/.f64 (-.f64 (-.f64 1 eps) (*.f64 eps (-.f64 eps 1))) (*.f64 (+.f64 -1 (pow.f64 eps 3)) (+.f64 -1 (pow.f64 eps 3)))) (*.f64 (fma.f64 eps eps (+.f64 eps 1)) (fma.f64 eps eps (+.f64 eps 1)))) |
(*.f64 (*.f64 (fma.f64 eps eps (+.f64 eps 1)) (fma.f64 eps eps (+.f64 eps 1))) (/.f64 (-.f64 1 (+.f64 eps (*.f64 eps (+.f64 eps -1)))) (*.f64 (+.f64 (pow.f64 eps 3) -1) (+.f64 (pow.f64 eps 3) -1)))) |
(*.f64 (fma.f64 eps eps (+.f64 eps 1)) (/.f64 (*.f64 (/.f64 (+.f64 (-.f64 1 eps) (*.f64 eps (-.f64 1 eps))) (+.f64 (pow.f64 eps 3) -1)) (fma.f64 eps eps (+.f64 eps 1))) (+.f64 (pow.f64 eps 3) -1))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 (+.f64 eps 0) eps)) (+.f64 (pow.f64 eps 3) -1)) (/.f64 (*.f64 (fma.f64 eps eps (+.f64 eps 1)) (fma.f64 eps eps (+.f64 eps 1))) (+.f64 (pow.f64 eps 3) -1))) |
(*.f64 (/.f64 (-.f64 (-.f64 1 eps) (*.f64 eps (-.f64 eps 1))) (*.f64 (-.f64 eps 1) (fma.f64 eps eps -1))) (+.f64 eps 1)) |
(/.f64 (*.f64 (-.f64 1 (+.f64 eps (*.f64 eps (+.f64 eps -1)))) (+.f64 eps 1)) (*.f64 (+.f64 eps -1) (fma.f64 eps eps -1))) |
(*.f64 (+.f64 eps 1) (/.f64 (+.f64 (-.f64 1 eps) (*.f64 eps (-.f64 1 eps))) (*.f64 (+.f64 eps -1) (fma.f64 eps eps -1)))) |
(*.f64 (+.f64 eps 1) (/.f64 (-.f64 1 (*.f64 (+.f64 eps 0) eps)) (*.f64 (+.f64 eps -1) (fma.f64 eps eps -1)))) |
(*.f64 (/.f64 (-.f64 (-.f64 1 eps) (*.f64 eps (-.f64 eps 1))) (*.f64 (-.f64 eps 1) (+.f64 -1 (pow.f64 eps 3)))) (fma.f64 eps eps (+.f64 eps 1))) |
(/.f64 (*.f64 (-.f64 1 (+.f64 eps (*.f64 eps (+.f64 eps -1)))) (fma.f64 eps eps (+.f64 eps 1))) (*.f64 (+.f64 eps -1) (+.f64 (pow.f64 eps 3) -1))) |
(*.f64 (/.f64 (+.f64 (-.f64 1 eps) (*.f64 eps (-.f64 1 eps))) (+.f64 eps -1)) (/.f64 (fma.f64 eps eps (+.f64 eps 1)) (+.f64 (pow.f64 eps 3) -1))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 (+.f64 eps 0) eps)) (+.f64 eps -1)) (/.f64 (fma.f64 eps eps (+.f64 eps 1)) (+.f64 (pow.f64 eps 3) -1))) |
(*.f64 (/.f64 (-.f64 (-.f64 1 eps) (*.f64 eps (-.f64 eps 1))) (*.f64 (fma.f64 eps eps -1) (+.f64 -1 (pow.f64 eps 3)))) (*.f64 (fma.f64 eps eps (+.f64 eps 1)) (+.f64 eps 1))) |
(*.f64 (*.f64 (+.f64 eps 1) (fma.f64 eps eps (+.f64 eps 1))) (/.f64 (-.f64 1 (+.f64 eps (*.f64 eps (+.f64 eps -1)))) (*.f64 (fma.f64 eps eps -1) (+.f64 (pow.f64 eps 3) -1)))) |
(*.f64 (+.f64 eps 1) (*.f64 (fma.f64 eps eps (+.f64 eps 1)) (/.f64 (+.f64 (-.f64 1 eps) (*.f64 eps (-.f64 1 eps))) (*.f64 (fma.f64 eps eps -1) (+.f64 (pow.f64 eps 3) -1))))) |
(*.f64 (+.f64 eps 1) (*.f64 (fma.f64 eps eps (+.f64 eps 1)) (/.f64 (-.f64 1 (*.f64 (+.f64 eps 0) eps)) (*.f64 (fma.f64 eps eps -1) (+.f64 (pow.f64 eps 3) -1))))) |
(pow.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)) 1) |
(/.f64 (-.f64 -1 eps) (+.f64 eps -1)) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1))) 2) |
(/.f64 (-.f64 -1 eps) (+.f64 eps -1)) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1))) 3) |
(/.f64 (-.f64 -1 eps) (+.f64 eps -1)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)) 3) 1/3) |
(/.f64 (-.f64 -1 eps) (+.f64 eps -1)) |
(pow.f64 (/.f64 (-.f64 eps 1) (-.f64 -1 eps)) -1) |
(/.f64 (-.f64 -1 eps) (+.f64 eps -1)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))))) |
(/.f64 (exp.f64 (log1p.f64 eps)) (-.f64 1 eps)) |
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))))) |
(/.f64 (exp.f64 (log1p.f64 eps)) (-.f64 1 eps)) |
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))))) |
(/.f64 (exp.f64 (log1p.f64 eps)) (-.f64 1 eps)) |
(neg.f64 (/.f64 (-.f64 -1 eps) (-.f64 1 eps))) |
(*.f64 (-.f64 -1 eps) (/.f64 -1 (-.f64 1 eps))) |
(/.f64 (+.f64 eps 1) (-.f64 1 eps)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 eps) (+.f64 eps -1)) 2)) |
(fabs.f64 (/.f64 (-.f64 -1 eps) (+.f64 eps -1))) |
(log.f64 (exp.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)))) |
(/.f64 (-.f64 -1 eps) (+.f64 eps -1)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1))))) |
(/.f64 (-.f64 -1 eps) (+.f64 eps -1)) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)) 3)) |
(/.f64 (-.f64 -1 eps) (+.f64 eps -1)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)))) |
(/.f64 (-.f64 -1 eps) (+.f64 eps -1)) |
(exp.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 eps) (log.f64 (-.f64 1 eps))))) |
(/.f64 (exp.f64 (log1p.f64 eps)) (-.f64 1 eps)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 eps) (-.f64 eps 1)))) |
(/.f64 (-.f64 -1 eps) (+.f64 eps -1)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (log1p.f64 eps) | |
| ✓ | 0.0b | (-.f64 (log1p.f64 (neg.f64 eps)) (-.f64 (+.f64 1 (log1p.f64 eps)) 1)) |
| ✓ | 4.6b | (-.f64 (+.f64 1 (log1p.f64 eps)) 1) |
Compiled 30 to 16 computations (46.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | eps | @ | 0 | (-.f64 (+.f64 1 (log1p.f64 eps)) 1) |
| 0.0ms | eps | @ | -inf | (-.f64 (+.f64 1 (log1p.f64 eps)) 1) |
| 0.0ms | eps | @ | inf | (-.f64 (+.f64 1 (log1p.f64 eps)) 1) |
| 0.0ms | eps | @ | inf | (-.f64 (log1p.f64 (neg.f64 eps)) (-.f64 (+.f64 1 (log1p.f64 eps)) 1)) |
| 0.0ms | eps | @ | -inf | (-.f64 (log1p.f64 (neg.f64 eps)) (-.f64 (+.f64 1 (log1p.f64 eps)) 1)) |
| 1× | batch-egg-rewrite |
| 1460× | associate-*r/ |
| 1134× | associate-*l/ |
| 810× | *-commutative |
| 384× | associate-+l+ |
| 384× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 48 |
| 1 | 245 | 20 |
| 2 | 3627 | 20 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (log1p.f64 eps)) 1) |
(-.f64 (log1p.f64 (neg.f64 eps)) (-.f64 (+.f64 1 (log1p.f64 eps)) 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log1p.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log1p.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 eps) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) 2)) (/.f64 1 (+.f64 (log1p.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 eps)) 3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 eps)) 2) (log1p.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log1p.f64 eps)))) (-.f64 (sqrt.f64 (+.f64 1 (log1p.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (+.f64 1 (log1p.f64 eps))) 1) (+.f64 1 (sqrt.f64 (+.f64 1 (log1p.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (log1p.f64 eps) 2)) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 eps)) 2) (log1p.f64 eps)) 2)) (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 eps)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 eps)) 2) (log1p.f64 eps)) 2) (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 eps)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) 2)) (+.f64 (log1p.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 eps)) 3)) (+.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 eps)) 2) (log1p.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 eps)) 3)) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 eps)) 2) (-.f64 1 (*.f64 (+.f64 1 (log1p.f64 eps)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) 2))) (neg.f64 (+.f64 (log1p.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 eps)) 3))) (neg.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 eps)) 2) (log1p.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (log1p.f64 eps) -1) (+.f64 (log1p.f64 eps) -1))) (+.f64 (-.f64 1 (log1p.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (log1p.f64 eps) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log1p.f64 eps) -1) (+.f64 (log1p.f64 eps) -1)) (+.f64 (log1p.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) 2)))) (neg.f64 (+.f64 (log1p.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 eps)) 3)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 eps)) 2) (log1p.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 1 (*.f64 (+.f64 (log1p.f64 eps) -1) (+.f64 (log1p.f64 eps) -1)))) (+.f64 (-.f64 1 (log1p.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 1 (pow.f64 (+.f64 (log1p.f64 eps) -1) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (log1p.f64 eps) -1) (+.f64 (log1p.f64 eps) -1)) (+.f64 (log1p.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 eps)) 3)))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 eps)) 2) (log1p.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) 2)))) (sqrt.f64 (+.f64 (log1p.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 eps)) 3)))) (cbrt.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 eps)) 2) (log1p.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) 2)))) (cbrt.f64 (+.f64 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(pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (*.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))) (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 eps) 3) 3) (pow.f64 (pow.f64 (log1p.f64 eps) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))) (+.f64 (*.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (*.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (*.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) 1) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (sqrt.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps)))) (sqrt.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps))) (cbrt.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps))))) (cbrt.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) 1) (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 eps) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))))))) |
| 1× | egg-herbie |
| 1278× | associate-+l- |
| 1140× | associate-+r- |
| 1090× | *-commutative |
| 1006× | +-commutative |
| 596× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 525 | 3782 |
| 1 | 1501 | 3554 |
| 2 | 6173 | 3536 |
| 1× | node limit |
| Inputs |
|---|
eps |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) eps) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 -1/4 (pow.f64 eps 4))))) |
(*.f64 -1 (log.f64 (/.f64 1 eps))) |
(+.f64 (/.f64 1 eps) (*.f64 -1 (log.f64 (/.f64 1 eps)))) |
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (log.f64 (/.f64 1 eps)))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2)))) |
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 eps))) (*.f64 1/3 (/.f64 1 (pow.f64 eps 3))))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (log.f64 -1)) |
(+.f64 (/.f64 1 eps) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 eps))))) |
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 eps))))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2)))) |
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (*.f64 1/3 (/.f64 1 (pow.f64 eps 3)))))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2)))) |
(*.f64 -2 eps) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3)))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3))))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
(*.f64 -1 (log.f64 -1)) |
(-.f64 (*.f64 -1 (log.f64 -1)) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
(+.f64 1 (+.f64 (log1p.f64 eps) -1)) |
(+.f64 (+.f64 1 (log1p.f64 eps)) -1) |
(+.f64 (log1p.f64 eps) 0) |
(+.f64 0 (log1p.f64 eps)) |
(+.f64 (+.f64 (log1p.f64 eps) -1) 1) |
(+.f64 -1 (+.f64 1 (log1p.f64 eps))) |
(*.f64 1 (log1p.f64 eps)) |
(*.f64 (log1p.f64 eps) 1) |
(*.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) |
(*.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps))) |
(*.f64 (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) 2)) (/.f64 1 (+.f64 (log1p.f64 eps) 2))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 eps)) 3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 eps)) 2) (log1p.f64 eps)) 2))) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log1p.f64 eps)))) (-.f64 (sqrt.f64 (+.f64 1 (log1p.f64 eps))) 1)) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 (log1p.f64 eps))) 1) (+.f64 1 (sqrt.f64 (+.f64 1 (log1p.f64 eps))))) |
(*.f64 (/.f64 1 (+.f64 (log1p.f64 eps) 2)) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) 2))) |
(*.f64 (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 eps)) 2) (log1p.f64 eps)) 2)) (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 eps)) 3))) |
(/.f64 1 (/.f64 (+.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) 2)))) |
(/.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 eps)) 2) (log1p.f64 eps)) 2) (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 eps)) 3)))) |
(/.f64 (log1p.f64 eps) 1) |
(/.f64 (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) 2)) (+.f64 (log1p.f64 eps) 2)) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 eps)) 3)) (+.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 eps)) 2) (log1p.f64 eps)) 2)) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 eps)) 3)) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 eps)) 2) (-.f64 1 (*.f64 (+.f64 1 (log1p.f64 eps)) -1)))) |
(/.f64 (neg.f64 (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) 2))) (neg.f64 (+.f64 (log1p.f64 eps) 2))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 eps)) 3))) (neg.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 eps)) 2) (log1p.f64 eps)) 2))) |
(/.f64 (-.f64 1 (*.f64 (+.f64 (log1p.f64 eps) -1) (+.f64 (log1p.f64 eps) -1))) (+.f64 (-.f64 1 (log1p.f64 eps)) 1)) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log1p.f64 eps) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log1p.f64 eps) -1) (+.f64 (log1p.f64 eps) -1)) (+.f64 (log1p.f64 eps) -1)))) |
(/.f64 (*.f64 1 (neg.f64 (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) 2)))) (neg.f64 (+.f64 (log1p.f64 eps) 2))) |
(/.f64 (*.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 eps)) 3)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 eps)) 2) (log1p.f64 eps)) 2))) |
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (+.f64 (log1p.f64 eps) -1) (+.f64 (log1p.f64 eps) -1)))) (+.f64 (-.f64 1 (log1p.f64 eps)) 1)) |
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (+.f64 (log1p.f64 eps) -1) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (log1p.f64 eps) -1) (+.f64 (log1p.f64 eps) -1)) (+.f64 (log1p.f64 eps) -1)))) |
(/.f64 (*.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 eps)) 3)))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 eps)) 2) (log1p.f64 eps)) 2))) |
(/.f64 (*.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) 2)))) (sqrt.f64 (+.f64 (log1p.f64 eps) 2))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 eps)) 3)))) (cbrt.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 eps)) 2) (log1p.f64 eps)) 2))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) 2)))) (cbrt.f64 (+.f64 (log1p.f64 eps) 2))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) 2))) 1) (neg.f64 (+.f64 (log1p.f64 eps) 2))) |
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 eps)) 3))) 1) (neg.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 eps)) 2) (log1p.f64 eps)) 2))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (+.f64 (log1p.f64 eps) -1) (+.f64 (log1p.f64 eps) -1))) 1) (+.f64 (-.f64 1 (log1p.f64 eps)) 1)) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 (log1p.f64 eps) -1) 3)) 1) (+.f64 1 (-.f64 (*.f64 (+.f64 (log1p.f64 eps) -1) (+.f64 (log1p.f64 eps) -1)) (+.f64 (log1p.f64 eps) -1)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 eps)) 3))) (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 eps)) 2) (log1p.f64 eps)) 2))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) 2))) (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (+.f64 (log1p.f64 eps) 2))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 eps)) 3))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)) (cbrt.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 eps)) 2) (log1p.f64 eps)) 2))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) 2))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)) (cbrt.f64 (+.f64 (log1p.f64 eps) 2))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (log1p.f64 eps)) 2) (pow.f64 (+.f64 1 (log1p.f64 eps)) 2)) 1) (/.f64 1 (+.f64 (log1p.f64 eps) 2))) (+.f64 1 (pow.f64 (+.f64 1 (log1p.f64 eps)) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (log1p.f64 eps)) 2) 3) 1) (/.f64 1 (+.f64 (log1p.f64 eps) 2))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (log1p.f64 eps)) 2) (pow.f64 (+.f64 1 (log1p.f64 eps)) 2)) (+.f64 1 (pow.f64 (+.f64 1 (log1p.f64 eps)) 2)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (log1p.f64 eps)) 3) (pow.f64 (+.f64 1 (log1p.f64 eps)) 3)) 1) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 eps)) 2) (log1p.f64 eps)) 2))) (+.f64 1 (pow.f64 (+.f64 1 (log1p.f64 eps)) 3))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (log1p.f64 eps)) 3) 3) 1) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 eps)) 2) (log1p.f64 eps)) 2))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (log1p.f64 eps)) 3) (pow.f64 (+.f64 1 (log1p.f64 eps)) 3)) (+.f64 1 (pow.f64 (+.f64 1 (log1p.f64 eps)) 3)))) |
(/.f64 (/.f64 (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) 2)) 1) (+.f64 (log1p.f64 eps) 2)) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))) (neg.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))))) (+.f64 (log1p.f64 eps) (log1p.f64 eps))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (-.f64 (log1p.f64 eps) (+.f64 1 (log1p.f64 eps))) (-.f64 (log1p.f64 eps) (+.f64 1 (log1p.f64 eps)))) 1)) (-.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) 2))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (neg.f64 (log1p.f64 eps)) 3))) (+.f64 (pow.f64 (log1p.f64 eps) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (*.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))))) |
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (-.f64 (log1p.f64 eps) (+.f64 1 (log1p.f64 eps))) 3))) (+.f64 (*.f64 (-.f64 (log1p.f64 eps) (+.f64 1 (log1p.f64 eps))) (-.f64 (log1p.f64 eps) (+.f64 1 (log1p.f64 eps)))) (-.f64 1 (-.f64 (log1p.f64 eps) (+.f64 1 (log1p.f64 eps)))))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)))) (neg.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps)))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)))) (sqrt.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)))) (cbrt.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))) 1) (+.f64 (log1p.f64 eps) (log1p.f64 eps))) |
(/.f64 (*.f64 (-.f64 (*.f64 (-.f64 (log1p.f64 eps) (+.f64 1 (log1p.f64 eps))) (-.f64 (log1p.f64 eps) (+.f64 1 (log1p.f64 eps)))) 1) 1) (-.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) 2))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (neg.f64 (log1p.f64 eps)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 eps) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (*.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 (log1p.f64 eps) (+.f64 1 (log1p.f64 eps))) 3)) 1) (+.f64 (*.f64 (-.f64 (log1p.f64 eps) (+.f64 1 (log1p.f64 eps))) (-.f64 (log1p.f64 eps) (+.f64 1 (log1p.f64 eps)))) (-.f64 1 (-.f64 (log1p.f64 eps) (+.f64 1 (log1p.f64 eps)))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))) 1) (neg.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))) 1) (neg.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) (sqrt.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2)) (cbrt.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (*.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))) (/.f64 1 (+.f64 (log1p.f64 eps) (log1p.f64 eps)))) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 eps) 2) 3) (pow.f64 (pow.f64 (log1p.f64 eps) 2) 3)) (/.f64 1 (+.f64 (log1p.f64 eps) (log1p.f64 eps)))) (+.f64 (*.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (+.f64 (*.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (*.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (*.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))) (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 eps) 3) 3) (pow.f64 (pow.f64 (log1p.f64 eps) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))) (+.f64 (*.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (*.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (*.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) 1) (+.f64 (log1p.f64 eps) (log1p.f64 eps))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (sqrt.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps)))) (sqrt.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps))) (cbrt.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps))))) (cbrt.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) 1) (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))) |
(pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1) |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 3) |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2)) |
(log.f64 (/.f64 (+.f64 1 eps) (+.f64 1 eps))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) |
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) |
(fma.f64 1 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))) |
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) |
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) |
| Outputs |
|---|
eps |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) eps) |
(fma.f64 -1/2 (*.f64 eps eps) eps) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))) |
(+.f64 (fma.f64 -1/2 (*.f64 eps eps) eps) (*.f64 1/3 (pow.f64 eps 3))) |
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/3 (pow.f64 eps 3) eps)) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 -1/4 (pow.f64 eps 4))))) |
(+.f64 (fma.f64 -1/2 (*.f64 eps eps) eps) (fma.f64 1/3 (pow.f64 eps 3) (*.f64 -1/4 (pow.f64 eps 4)))) |
(*.f64 -1 (log.f64 (/.f64 1 eps))) |
(neg.f64 (neg.f64 (log.f64 eps))) |
(log.f64 eps) |
(+.f64 (/.f64 1 eps) (*.f64 -1 (log.f64 (/.f64 1 eps)))) |
(+.f64 (/.f64 1 eps) (neg.f64 (neg.f64 (log.f64 eps)))) |
(+.f64 (/.f64 1 eps) (log.f64 eps)) |
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (log.f64 (/.f64 1 eps)))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2)))) |
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (neg.f64 (log.f64 eps))) (/.f64 1/2 (*.f64 eps eps)))) |
(+.f64 (/.f64 1 eps) (+.f64 (log.f64 eps) (/.f64 -1/2 (*.f64 eps eps)))) |
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 eps))) (*.f64 1/3 (/.f64 1 (pow.f64 eps 3))))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2)))) |
(+.f64 (/.f64 1 eps) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 eps)) (/.f64 1/3 (pow.f64 eps 3))) (/.f64 1/2 (*.f64 eps eps)))) |
(+.f64 (/.f64 1 eps) (+.f64 (+.f64 (log.f64 eps) (/.f64 1/3 (pow.f64 eps 3))) (/.f64 -1/2 (*.f64 eps eps)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (log.f64 -1)) |
(fma.f64 -1 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) |
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 eps))) |
(+.f64 (/.f64 1 eps) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 eps))))) |
(+.f64 (/.f64 1 eps) (fma.f64 -1 (log.f64 (/.f64 -1 eps)) (log.f64 -1))) |
(+.f64 (/.f64 1 eps) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 eps)))) |
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 eps))))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2)))) |
(+.f64 (/.f64 1 eps) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 eps)) (log.f64 -1)) (/.f64 1/2 (*.f64 eps eps)))) |
(+.f64 (/.f64 1 eps) (+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 eps))) (/.f64 -1/2 (*.f64 eps eps)))) |
(-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 eps))) (-.f64 (/.f64 1/2 (*.f64 eps eps)) (/.f64 1 eps))) |
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (*.f64 1/3 (/.f64 1 (pow.f64 eps 3)))))) (*.f64 1/2 (/.f64 1 (pow.f64 eps 2)))) |
(-.f64 (+.f64 (+.f64 (/.f64 1 eps) (log.f64 -1)) (fma.f64 -1 (log.f64 (/.f64 -1 eps)) (/.f64 1/3 (pow.f64 eps 3)))) (/.f64 1/2 (*.f64 eps eps))) |
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 eps 3)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 eps)))) (-.f64 (/.f64 1 eps) (/.f64 1/2 (*.f64 eps eps)))) |
(*.f64 -2 eps) |
(*.f64 eps -2) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(fma.f64 -2 eps (*.f64 (pow.f64 eps 3) -2/3)) |
(fma.f64 eps -2 (*.f64 (pow.f64 eps 3) -2/3)) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3)))) |
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 (pow.f64 eps 3) -2/3))) |
(fma.f64 eps -2 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2/5 (pow.f64 eps 5)))) |
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3))))) |
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 (pow.f64 eps 3) -2/3)))) |
(fma.f64 eps -2 (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2/7 (pow.f64 eps 7))))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (log.f64 -1) (/.f64 2 eps)) |
(+.f64 (log.f64 -1) (/.f64 -2 eps)) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3)))) |
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps)) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
(-.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))) |
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/5 (pow.f64 eps 5)) (/.f64 2/3 (pow.f64 eps 3))))) |
(*.f64 -1 (log.f64 -1)) |
(neg.f64 (log.f64 -1)) |
(-.f64 (*.f64 -1 (log.f64 -1)) (*.f64 2 (/.f64 1 eps))) |
(-.f64 (neg.f64 (log.f64 -1)) (/.f64 2 eps)) |
(fma.f64 -1 (log.f64 -1) (/.f64 -2 eps)) |
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps)))) |
(-.f64 (neg.f64 (log.f64 -1)) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3)))) |
(-.f64 (fma.f64 -1 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) |
(-.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5)))))) |
(-.f64 (neg.f64 (log.f64 -1)) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5))))) |
(-.f64 (-.f64 (fma.f64 -1 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5))) |
(+.f64 1 (+.f64 (log1p.f64 eps) -1)) |
(log1p.f64 eps) |
(+.f64 (+.f64 1 (log1p.f64 eps)) -1) |
(log1p.f64 eps) |
(+.f64 (log1p.f64 eps) 0) |
(log1p.f64 eps) |
(+.f64 0 (log1p.f64 eps)) |
(log1p.f64 eps) |
(+.f64 (+.f64 (log1p.f64 eps) -1) 1) |
(log1p.f64 eps) |
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0 |
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(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))) |
0 |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))) |
0 |
(pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1) |
0 |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) |
0 |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 3) |
0 |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3) 1/3) |
0 |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2)) |
(sqrt.f64 0) |
(log.f64 (/.f64 (+.f64 1 eps) (+.f64 1 eps))) |
0 |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))) |
0 |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3)) |
0 |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) |
0 |
(exp.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) |
0 |
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))) |
0 |
(fma.f64 1 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))) |
0 |
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) |
0 |
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) |
0 |
Compiled 13051 to 8304 computations (36.4% saved)
9 alts after pruning (3 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 714 | 2 | 716 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 5 | 6 |
| Total | 715 | 9 | 724 |
| Status | Error | Program |
|---|---|---|
| ✓ | 50.5b | (-.f64 (log1p.f64 (neg.f64 eps)) (-.f64 (+.f64 1 (log1p.f64 eps)) 1)) |
| ✓ | 0.0b | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| ✓ | 0.5b | (+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
| ▶ | 1.3b | (*.f64 eps (+.f64 -2 (*.f64 eps -1/2))) |
| ✓ | 0.9b | (*.f64 -2 eps) |
| ✓ | 58.7b | (neg.f64 (log.f64 (/.f64 (-.f64 -1 eps) (+.f64 eps -1)))) |
| ▶ | 52.0b | (neg.f64 eps) |
| ✓ | 58.7b | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 60.6b | 0 |
Compiled 64 to 50 computations (21.9% saved)
Compiled 4 to 2 computations (50% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 eps (+.f64 -2 (*.f64 eps -1/2))) |
Compiled 19 to 14 computations (26.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | eps | @ | inf | (*.f64 eps (+.f64 -2 (*.f64 eps -1/2))) |
| 0.0ms | eps | @ | 0 | (*.f64 eps (+.f64 -2 (*.f64 eps -1/2))) |
| 0.0ms | eps | @ | -inf | (*.f64 eps (+.f64 -2 (*.f64 eps -1/2))) |
| 1× | batch-egg-rewrite |
| 1830× | add-sqr-sqrt |
| 1802× | *-un-lft-identity |
| 1698× | add-cube-cbrt |
| 1678× | add-cbrt-cube |
| 172× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 178 | 15 |
| 2 | 2265 | 15 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 eps (+.f64 -2 (*.f64 eps -1/2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps -2) (*.f64 -1/2 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 eps -2) 1) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 eps -1/2 -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (-.f64 4 (*.f64 1/4 (*.f64 eps eps)))) (+.f64 -2 (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (+.f64 -8 (*.f64 -1/8 (pow.f64 eps 3)))) (+.f64 4 (-.f64 (*.f64 1/4 (*.f64 eps eps)) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 1/4 (*.f64 eps eps))) eps) (+.f64 -2 (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -8 (*.f64 -1/8 (pow.f64 eps 3))) eps) (+.f64 4 (-.f64 (*.f64 1/4 (*.f64 eps eps)) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 eps -2) (*.f64 eps -2)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/2 (*.f64 eps eps)))) (-.f64 (*.f64 eps -2) (*.f64 -1/2 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 eps -2) 3) (pow.f64 (*.f64 -1/2 (*.f64 eps eps)) 3)) (+.f64 (*.f64 (*.f64 eps -2) (*.f64 eps -2)) (-.f64 (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (*.f64 eps -2) (*.f64 -1/2 (*.f64 eps eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (fma.f64 eps -1/2 -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps -1/2 -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps -1/2 -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (fma.f64 eps -1/2 -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps -1/2 -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (fma.f64 eps -1/2 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 eps -1/2 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps -1/2 -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps -1/2 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (fma.f64 eps -1/2 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 eps -1/2 -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps -1/2 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps -2 (*.f64 -1/2 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))))))) |
| 1× | egg-herbie |
| 620× | associate-+r- |
| 600× | associate-+l- |
| 496× | associate-+l+ |
| 494× | associate-+r+ |
| 458× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 876 |
| 1 | 246 | 662 |
| 2 | 932 | 642 |
| 3 | 3152 | 642 |
| 4 | 7274 | 642 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -2 eps)) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -2 eps)) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -2 eps)) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(+.f64 (*.f64 -2 eps) (*.f64 -1/2 (pow.f64 eps 2))) |
(+.f64 (*.f64 -2 eps) (*.f64 -1/2 (pow.f64 eps 2))) |
(+.f64 (*.f64 -2 eps) (*.f64 -1/2 (pow.f64 eps 2))) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(+.f64 (*.f64 -2 eps) (*.f64 -1/2 (pow.f64 eps 2))) |
(+.f64 (*.f64 -2 eps) (*.f64 -1/2 (pow.f64 eps 2))) |
(+.f64 (*.f64 -2 eps) (*.f64 -1/2 (pow.f64 eps 2))) |
(+.f64 (*.f64 eps -2) (*.f64 -1/2 (*.f64 eps eps))) |
(+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps -2)) |
(+.f64 (*.f64 (*.f64 eps -2) 1) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) 1)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 eps -1/2 -2)))) 1) |
(/.f64 (*.f64 eps (-.f64 4 (*.f64 1/4 (*.f64 eps eps)))) (+.f64 -2 (*.f64 1/2 eps))) |
(/.f64 (*.f64 eps (+.f64 -8 (*.f64 -1/8 (pow.f64 eps 3)))) (+.f64 4 (-.f64 (*.f64 1/4 (*.f64 eps eps)) eps))) |
(/.f64 (*.f64 (-.f64 4 (*.f64 1/4 (*.f64 eps eps))) eps) (+.f64 -2 (*.f64 1/2 eps))) |
(/.f64 (*.f64 (+.f64 -8 (*.f64 -1/8 (pow.f64 eps 3))) eps) (+.f64 4 (-.f64 (*.f64 1/4 (*.f64 eps eps)) eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps -2) (*.f64 eps -2)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/2 (*.f64 eps eps)))) (-.f64 (*.f64 eps -2) (*.f64 -1/2 (*.f64 eps eps)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 eps -2) 3) (pow.f64 (*.f64 -1/2 (*.f64 eps eps)) 3)) (+.f64 (*.f64 (*.f64 eps -2) (*.f64 eps -2)) (-.f64 (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (*.f64 eps -2) (*.f64 -1/2 (*.f64 eps eps)))))) |
(pow.f64 (*.f64 eps (fma.f64 eps -1/2 -2)) 1) |
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps -1/2 -2))) 2) |
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps -1/2 -2))) 3) |
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 eps -1/2 -2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps -1/2 -2)) 2)) |
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 eps -1/2 -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 eps -1/2 -2))))) |
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps -1/2 -2)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps -1/2 -2)))) |
(exp.f64 (log.f64 (*.f64 eps (fma.f64 eps -1/2 -2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 eps -1/2 -2))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps -1/2 -2)))) |
(fma.f64 eps -2 (*.f64 -1/2 (*.f64 eps eps))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
| Outputs |
|---|
(*.f64 -2 eps) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -2 eps)) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -2 eps)) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -2 eps)) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 eps (*.f64 eps -1/2)) |
(+.f64 (*.f64 -2 eps) (*.f64 -1/2 (pow.f64 eps 2))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(+.f64 (*.f64 -2 eps) (*.f64 -1/2 (pow.f64 eps 2))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(+.f64 (*.f64 -2 eps) (*.f64 -1/2 (pow.f64 eps 2))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(*.f64 -1/2 (pow.f64 eps 2)) |
(*.f64 -1/2 (*.f64 eps eps)) |
(*.f64 eps (*.f64 eps -1/2)) |
(+.f64 (*.f64 -2 eps) (*.f64 -1/2 (pow.f64 eps 2))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(+.f64 (*.f64 -2 eps) (*.f64 -1/2 (pow.f64 eps 2))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(+.f64 (*.f64 -2 eps) (*.f64 -1/2 (pow.f64 eps 2))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(+.f64 (*.f64 eps -2) (*.f64 -1/2 (*.f64 eps eps))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps -2)) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(+.f64 (*.f64 (*.f64 eps -2) 1) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) 1)) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 eps -1/2 -2)))) 1) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(/.f64 (*.f64 eps (-.f64 4 (*.f64 1/4 (*.f64 eps eps)))) (+.f64 -2 (*.f64 1/2 eps))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(/.f64 (*.f64 eps (+.f64 -8 (*.f64 -1/8 (pow.f64 eps 3)))) (+.f64 4 (-.f64 (*.f64 1/4 (*.f64 eps eps)) eps))) |
(/.f64 eps (/.f64 (+.f64 4 (-.f64 (*.f64 (*.f64 1/4 eps) eps) eps)) (+.f64 -8 (*.f64 -1/8 (pow.f64 eps 3))))) |
(/.f64 eps (/.f64 (+.f64 4 (-.f64 (*.f64 eps (*.f64 eps 1/4)) eps)) (fma.f64 -1/8 (pow.f64 eps 3) -8))) |
(*.f64 eps (/.f64 (fma.f64 -1/8 (pow.f64 eps 3) -8) (-.f64 (fma.f64 eps (*.f64 eps 1/4) 4) eps))) |
(*.f64 eps (/.f64 (fma.f64 -1/8 (pow.f64 eps 3) -8) (+.f64 4 (*.f64 eps (fma.f64 eps 1/4 -1))))) |
(/.f64 (*.f64 (-.f64 4 (*.f64 1/4 (*.f64 eps eps))) eps) (+.f64 -2 (*.f64 1/2 eps))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(/.f64 (*.f64 (+.f64 -8 (*.f64 -1/8 (pow.f64 eps 3))) eps) (+.f64 4 (-.f64 (*.f64 1/4 (*.f64 eps eps)) eps))) |
(/.f64 eps (/.f64 (+.f64 4 (-.f64 (*.f64 (*.f64 1/4 eps) eps) eps)) (+.f64 -8 (*.f64 -1/8 (pow.f64 eps 3))))) |
(/.f64 eps (/.f64 (+.f64 4 (-.f64 (*.f64 eps (*.f64 eps 1/4)) eps)) (fma.f64 -1/8 (pow.f64 eps 3) -8))) |
(*.f64 eps (/.f64 (fma.f64 -1/8 (pow.f64 eps 3) -8) (-.f64 (fma.f64 eps (*.f64 eps 1/4) 4) eps))) |
(*.f64 eps (/.f64 (fma.f64 -1/8 (pow.f64 eps 3) -8) (+.f64 4 (*.f64 eps (fma.f64 eps 1/4 -1))))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps -2) (*.f64 eps -2)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/2 (*.f64 eps eps)))) (-.f64 (*.f64 eps -2) (*.f64 -1/2 (*.f64 eps eps)))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(/.f64 (+.f64 (pow.f64 (*.f64 eps -2) 3) (pow.f64 (*.f64 -1/2 (*.f64 eps eps)) 3)) (+.f64 (*.f64 (*.f64 eps -2) (*.f64 eps -2)) (-.f64 (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (*.f64 eps -2) (*.f64 -1/2 (*.f64 eps eps)))))) |
(/.f64 (+.f64 (*.f64 (pow.f64 eps 3) -8) (*.f64 -1/8 (pow.f64 (*.f64 eps eps) 3))) (+.f64 (*.f64 (*.f64 eps eps) 4) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -2 eps))))) |
(/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 eps eps) 3) (*.f64 -8 (pow.f64 eps 3))) (-.f64 (fma.f64 eps (*.f64 4 eps) (*.f64 1/4 (pow.f64 eps 4))) (pow.f64 eps 3))) |
(/.f64 (*.f64 (pow.f64 eps 3) (fma.f64 -1/8 (pow.f64 eps 3) -8)) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 eps (*.f64 eps 1/4) 4) eps))) |
(/.f64 (fma.f64 -1/8 (pow.f64 eps 6) (pow.f64 (*.f64 -2 eps) 3)) (*.f64 (*.f64 eps eps) (+.f64 4 (*.f64 eps (fma.f64 eps 1/4 -1))))) |
(pow.f64 (*.f64 eps (fma.f64 eps -1/2 -2)) 1) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps -1/2 -2))) 2) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps -1/2 -2))) 3) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 eps -1/2 -2)) 3) 1/3) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps -1/2 -2)) 2)) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 eps -1/2 -2))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 eps -1/2 -2))))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps -1/2 -2)) 3)) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps -1/2 -2)))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(exp.f64 (log.f64 (*.f64 eps (fma.f64 eps -1/2 -2)))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 eps -1/2 -2))) 1)) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps -1/2 -2)))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(fma.f64 eps -2 (*.f64 -1/2 (*.f64 eps eps))) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
(fma.f64 -2 eps (*.f64 -1/2 (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps -1/2 -2)) |
Compiled 525 to 361 computations (31.2% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 39 | 0 | 39 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 39 | 9 | 48 |
| Status | Error | Program |
|---|---|---|
| ✓ | 50.5b | (-.f64 (log1p.f64 (neg.f64 eps)) (-.f64 (+.f64 1 (log1p.f64 eps)) 1)) |
| ✓ | 0.0b | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| ✓ | 0.5b | (+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
| ✓ | 1.3b | (*.f64 eps (+.f64 -2 (*.f64 eps -1/2))) |
| ✓ | 0.9b | (*.f64 -2 eps) |
| ✓ | 58.7b | (neg.f64 (log.f64 (/.f64 (-.f64 -1 eps) (+.f64 eps -1)))) |
| ✓ | 52.0b | (neg.f64 eps) |
| ✓ | 58.7b | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 60.6b | 0 |
Compiled 64 to 50 computations (21.9% saved)
Compiled 1 to 1 computations (0% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 8 | 8 |
| Total | 0 | 9 | 9 |
| Status | Error | Program |
|---|---|---|
| ✓ | 50.5b | (-.f64 (log1p.f64 (neg.f64 eps)) (-.f64 (+.f64 1 (log1p.f64 eps)) 1)) |
| ✓ | 0.0b | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| ✓ | 0.5b | (+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
| ✓ | 1.3b | (*.f64 eps (+.f64 -2 (*.f64 eps -1/2))) |
| ✓ | 0.9b | (*.f64 -2 eps) |
| ✓ | 58.7b | (neg.f64 (log.f64 (/.f64 (-.f64 -1 eps) (+.f64 eps -1)))) |
| ✓ | 52.0b | (neg.f64 eps) |
| ✓ | 58.7b | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 60.6b | 0 |
Compiled 64 to 50 computations (21.9% saved)
| Inputs |
|---|
0 |
(neg.f64 eps) |
(*.f64 -2 eps) |
(*.f64 eps (+.f64 -2 (*.f64 eps -1/2))) |
(-.f64 (log1p.f64 (neg.f64 eps)) eps) |
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
(neg.f64 (log.f64 (/.f64 (-.f64 -1 eps) (+.f64 eps -1)))) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(-.f64 (log1p.f64 (neg.f64 eps)) (-.f64 (+.f64 1 (log1p.f64 eps)) 1)) |
| Outputs |
|---|
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
3 calls:
| 7.0ms | eps |
| 2.0ms | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
| 2.0ms | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | eps |
| 0.0b | 1 | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 0.0b | 1 | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
Compiled 80 to 53 computations (33.8% saved)
| Inputs |
|---|
0 |
(neg.f64 eps) |
(*.f64 -2 eps) |
(*.f64 eps (+.f64 -2 (*.f64 eps -1/2))) |
(-.f64 (log1p.f64 (neg.f64 eps)) eps) |
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
(neg.f64 (log.f64 (/.f64 (-.f64 -1 eps) (+.f64 eps -1)))) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
| Outputs |
|---|
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
3 calls:
| 5.0ms | eps |
| 2.0ms | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 2.0ms | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 1 | eps |
| 0.5b | 1 | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 0.5b | 1 | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
Compiled 64 to 46 computations (28.1% saved)
| Inputs |
|---|
0 |
(neg.f64 eps) |
(*.f64 -2 eps) |
(*.f64 eps (+.f64 -2 (*.f64 eps -1/2))) |
(-.f64 (log1p.f64 (neg.f64 eps)) eps) |
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
(neg.f64 (log.f64 (/.f64 (-.f64 -1 eps) (+.f64 eps -1)))) |
| Outputs |
|---|
(*.f64 -2 eps) |
3 calls:
| 5.0ms | eps |
| 5.0ms | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
| 2.0ms | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| Error | Segments | Branch |
|---|---|---|
| 0.9b | 1 | eps |
| 0.9b | 1 | (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) |
| 0.9b | 1 | (/.f64 (-.f64 1 eps) (+.f64 1 eps)) |
Compiled 55 to 39 computations (29.1% saved)
Total -8.6b remaining (-16.6%)
Threshold costs -8.6b (-16.6%)
| Inputs |
|---|
0 |
(neg.f64 eps) |
| Outputs |
|---|
(neg.f64 eps) |
1 calls:
| 4.0ms | eps |
| Error | Segments | Branch |
|---|---|---|
| 52.0b | 1 | eps |
Compiled 6 to 4 computations (33.3% saved)
| 1× | egg-herbie |
| 8× | +-commutative |
| 8× | *-commutative |
| 6× | sub-neg |
| 4× | neg-mul-1 |
| 4× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 57 |
| 1 | 24 | 57 |
| 2 | 29 | 57 |
| 3 | 32 | 57 |
| 4 | 33 | 57 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(*.f64 -2 eps) |
(neg.f64 eps) |
0 |
| Outputs |
|---|
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) |
(+.f64 (*.f64 eps -2) (*.f64 -2/3 (pow.f64 eps 3))) |
(*.f64 -2 eps) |
(*.f64 eps -2) |
(neg.f64 eps) |
0 |
Compiled 26 to 20 computations (23.1% saved)
| 1× | egg-herbie |
| 1728× | fma-def |
| 1078× | distribute-lft-in |
| 796× | associate-+r+ |
| 786× | associate-+l- |
| 774× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 20 | 19 |
| 2 | 30 | 19 |
| 3 | 44 | 19 |
| 4 | 73 | 19 |
| 5 | 108 | 19 |
| 6 | 168 | 19 |
| 7 | 328 | 19 |
| 8 | 757 | 19 |
| 9 | 1448 | 19 |
| 10 | 2054 | 19 |
| 11 | 2578 | 19 |
| 12 | 3638 | 19 |
| 13 | 4428 | 19 |
| 14 | 4922 | 19 |
| 15 | 5098 | 19 |
| 16 | 5198 | 19 |
| 17 | 5198 | 19 |
| 18 | 6692 | 19 |
| 19 | 7008 | 19 |
| 20 | 7086 | 19 |
| 21 | 7094 | 19 |
| 22 | 7102 | 19 |
| 23 | 7102 | 19 |
| 24 | 7302 | 19 |
| 25 | 7878 | 19 |
| 1× | node limit |
Compiled 42 to 29 computations (31% saved)
Compiled 22 to 15 computations (31.8% saved)
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