Details

sample53.0ms

Algorithm

intervals

Results

19.0ms	47×	body	1280	valid
11.0ms	44×	body	640	valid
7.0ms	134×	body	80	valid
3.0ms	20×	body	320	valid
1.0ms	11×	body	160	valid

simplify6.0ms

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))
0.1b	(* x (cos y))

rewrite13.0ms

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:

4.0ms	(- (* x (cos y)) (* z (sin y)))
4.0ms	(* z (sin y))
4.0ms	(* x (cos y))

series141.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(- (* x (cos y)) (* z (sin y)))
39.0ms	(* z (sin y))
35.0ms	(* x (cos y))

simplify63.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (59.0ms)

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

prune162.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite11.0ms

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:

5.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series715.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt z) (cbrt z))
173.0ms	(cbrt z)
172.0ms	(cbrt z)
170.0ms	(cbrt z)

simplify88.0ms

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

prune285.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

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))

rewrite13.0ms

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))
2.0ms	(cbrt (sin y))

series406.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
97.0ms	(cbrt (sin y))
97.0ms	(cbrt (sin y))
96.0ms	(cbrt (sin y))

simplify93.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (87.0ms)

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

prune275.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`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 → 55

Calls

4 calls:

2.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (cbrt (sin y)))

series393.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(cbrt (sin y))
104.0ms	(cbrt (sin y))
96.0ms	(cbrt (sin y))
96.0ms	(cbrt (cbrt (sin y)))

simplify67.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	114	310
1	237	288
2	607	280
3	2056	280
4	5001	280

prune252.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes101.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	12
1	14	12

end0.0ms

sample1.6s

Algorithm

intervals

Results

657.0ms	1562×	body	1280	valid
334.0ms	1250×	body	640	valid
233.0ms	4274×	body	80	valid
107.0ms	615×	body	320	valid
36.0ms	299×	body	160	valid