Details

sample74.0ms

Algorithm

intervals

Results

26.0ms	92×	body	1280	valid
16.0ms	92×	body	640	valid
10.0ms	262×	body	80	valid
4.0ms	37×	body	320	valid
2.0ms	19×	body	160	valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	28	4
2	56	4
3	102	4
4	153	4
5	334	4
6	924	4
7	1912	4
8	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ (sin y) y))
0.1b	(/ (sin y) y)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `expm1-log1p-u` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 65

Calls

2 calls:

20.0ms	(* (cosh x) (/ (sin y) y))
8.0ms	(/ (sin y) y)

series96.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(* (cosh x) (/ (sin y) y))
24.0ms	(/ (sin y) y)

simplify40.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	271	408
1	1085	363
2	5001	351

prune169.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (sin y))
0.2b	(* (* (cosh x) (sin y)) (/ 1 y))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
16×	`associate-r` `add-cbrt-cube`
13×	`add-sqr-sqrt` `prod-exp`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `times-frac`
7×	`cbrt-unprod`
4×	`div-exp` `associate-l` `pow-prod-down` `associate-*l/`
3×	`cosh-def`
2×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `associate-*r/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

2 → 63

Calls

2 calls:

14.0ms	(* (cosh x) (sin y))
31.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

series135.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(* (cosh x) (sin y))
68.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

simplify52.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	380	448
1	1782	365
2	5001	332

prune138.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series467.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt y)
96.0ms	(cbrt (sin y))
96.0ms	(cbrt (sin y))
97.0ms	(cbrt (sin y))

simplify61.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	92	244
1	196	226
2	487	218
3	1673	218
4	5001	218

prune209.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

11.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series717.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(* (cbrt y) (cbrt y))
174.0ms	(cbrt y)
173.0ms	(cbrt y)
178.0ms	(cbrt y)

simplify89.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune225.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes158.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample2.3s

Algorithm

intervals

Results

854.0ms	2914×	body	1280	valid
440.0ms	2493×	body	640	valid
360.0ms	8568×	body	80	valid
152.0ms	1272×	body	320	valid
55.0ms	651×	body	160	valid