Details

sample60.0ms

Algorithm

intervals

Results

21.0ms	47×	body	1280	valid
13.0ms	144×	body	80	valid
11.0ms	39×	body	640	valid
4.0ms	18×	body	320	valid
1.0ms	8×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	15	4
2	15	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x (cos y) (* z (sin y)))
0.1b	(* z (sin y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma x (cos y) (* z (sin y)))
4.0ms	(* z (sin y))

series108.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(fma x (cos y) (* z (sin y)))
41.0ms	(* z (sin y))

simplify50.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	83	149
1	279	130
2	726	130
3	1552	130
4	5002	130

prune98.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

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:

7.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series401.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
96.0ms	(cbrt (sin y))
95.0ms	(cbrt (sin y))
98.0ms	(cbrt (sin y))

simplify94.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	160	483
1	568	430
2	3134	398
3	5001	392

prune286.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (log1p (expm1 (cbrt (sin y)))) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`cbrt-prod`
10×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `associate-r`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`unswap-sqr`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 63

Calls

4 calls:

5.0ms	(* (log1p (expm1 (cbrt (sin y)))) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series584.0ms

Counts

4 → 12

Calls

4 calls:

298.0ms	(* (log1p (expm1 (cbrt (sin y)))) (cbrt (sin y)))
94.0ms	(cbrt (sin y))
95.0ms	(cbrt (sin y))
96.0ms	(cbrt (sin y))

simplify61.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	167	422
1	453	346
2	2132	321
3	5002	314

prune271.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`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 → 61

Calls

4 calls:

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

series400.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(cbrt (sin y))
100.0ms	(cbrt (cbrt (sin y)))
100.0ms	(cbrt (cbrt (sin y)))
99.0ms	(cbrt (cbrt (sin y)))

simplify74.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	114	394
1	237	368
2	607	360
3	2056	360
4	5001	360

prune346.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes104.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample1.8s

Algorithm

intervals

Results

683.0ms	1468×	body	1280	valid
383.0ms	4333×	body	80	valid
373.0ms	1268×	body	640	valid
128.0ms	624×	body	320	valid
54.0ms	307×	body	160	valid