Details

sample61.0ms

Algorithm

intervals

Results

23.0ms	47×	body	1280	valid
10.0ms	35×	body	640	valid
10.0ms	134×	body	80	valid
5.0ms	22×	body	320	valid
3.0ms	18×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	21	5
2	25	5
3	25	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (cos y)) (* z (sin y)))
0.1b	(* z (sin y))
0.2b	(* x (cos y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

3 → 56

Calls

3 calls:

3.0ms	(- (* x (cos y)) (* z (sin y)))
3.0ms	(* z (sin y))
3.0ms	(* x (cos y))

series144.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(- (* x (cos y)) (* z (sin y)))
36.0ms	(* z (sin y))
41.0ms	(* x (cos y))

simplify62.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	190	289
1	696	265
2	2348	265
3	5002	261

prune165.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos 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:

6.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series441.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
94.0ms	(cbrt (cos y))
100.0ms	(cbrt (cos y))
95.0ms	(cbrt (cos y))

simplify102.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	128	471
1	500	419
2	3232	387
3	5002	381

prune279.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
0.3b	(cbrt (cbrt (cos y)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

16×	`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 → 53

Calls

4 calls:

1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
3.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
1.0ms	(cbrt (cbrt (cos y)))

series390.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(cbrt (cos y))
93.0ms	(cbrt (cos y))
108.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
97.0ms	(cbrt (cbrt (cos y)))

simplify221.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 4 (216.0ms)

Iter	Nodes	Cost
0	112	336
1	284	306
2	880	295
3	4874	295
4	5001	294

prune272.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos y))
0.3b	(cbrt (cbrt (cos y)))
0.3b	(cbrt (cbrt (cos y)))
0.3b	(cbrt (cbrt (cos y)))

rewrite4.0ms

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 (cos y))
1.0ms	(cbrt (cbrt (cos y)))
1.0ms	(cbrt (cbrt (cos y)))
1.0ms	(cbrt (cbrt (cos y)))

series373.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(cbrt (cos y))
93.0ms	(cbrt (cbrt (cos y)))
92.0ms	(cbrt (cbrt (cos y)))
94.0ms	(cbrt (cbrt (cos y)))

simplify170.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 4 (162.0ms)

Iter	Nodes	Cost
0	83	382
1	223	356
2	693	348
3	3780	348
4	5001	344

prune291.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes120.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	20
1	20	20

end0.0ms

sample1.7s

Algorithm

intervals

Results

670.0ms	1507×	body	1280	valid
380.0ms	1273×	body	640	valid
310.0ms	4291×	body	80	valid
125.0ms	612×	body	320	valid
51.0ms	317×	body	160	valid