Details

sample42.0ms

Algorithm

intervals

Results

11.0ms	26×	body	1280	valid
9.0ms	38×	body	640	valid
8.0ms	170×	body	80	valid
2.0ms	10×	body	320	valid
1.0ms	12×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	20	5
2	22	5
3	22	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ x (sin y)) (* z (cos y)))
0.1b	(* z (cos y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp`
6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l` `sum-log`
1×	`+-commutative` `associate-+l+` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

15.0ms	(+ (+ x (sin y)) (* z (cos y)))
3.0ms	(* z (cos y))

series86.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ (+ x (sin y)) (* z (cos y)))
39.0ms	(* z (cos y))

simplify70.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	152	192
1	605	176
2	2510	176
3	5001	176

prune89.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

6.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))
5.0ms	(cbrt (* z (cos y)))

series562.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
135.0ms	(cbrt (* z (cos y)))
132.0ms	(cbrt (* z (cos y)))
133.0ms	(cbrt (* z (cos y)))

simplify133.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (124.0ms)

Iter	Nodes	Cost
0	175	423
1	691	372
2	3601	342
3	5001	317

prune221.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))

series543.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(cbrt (* z (cos y)))
140.0ms	(cbrt (* z (cos y)))
132.0ms	(cbrt (* z (cos y)))
134.0ms	(cbrt (* z (cos y)))

simplify165.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 3 (27.0ms)

Iter	Nodes	Cost
0	70	260
1	170	232
2	665	220
3	4029	208
4	5001	208

prune215.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))
0.9b	(pow (cbrt (cbrt (* z (cos y)))) 4)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 49

Calls

4 calls:

2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))
3.0ms	(pow (cbrt (cbrt (* z (cos y)))) 4)

series643.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(cbrt (* z (cos y)))
136.0ms	(cbrt (* z (cos y)))
143.0ms	(cbrt (* z (cos y)))
226.0ms	(pow (cbrt (cbrt (* z (cos y)))) 4)

simplify94.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	187	383
1	587	350
2	2405	336
3	5002	327

prune246.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes167.0ms

Accuracy

0% (0.0b 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	11	5
1	11	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

404.0ms	981×	body	1280	valid
282.0ms	5550×	body	80	valid
229.0ms	867×	body	640	valid
73.0ms	406×	body	320	valid
23.0ms	195×	body	160	valid
1.0ms	1×	body	2560	valid