Details

sample51.0ms

Algorithm

intervals

Results

19.0ms	46×	body	1280	valid
11.0ms	45×	body	640	valid
8.0ms	136×	body	80	valid
3.0ms	16×	body	320	valid
2.0ms	13×	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

prune2.0ms

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

3.0ms	(* x (cos y))
4.0ms	(* z (sin y))

series79.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* x (cos y))
42.0ms	(* z (sin y))

simplify90.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	122	157
1	443	137
2	1041	137
3	1583	137
4	3679	137
5	5001	137

prune118.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (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))

series421.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
99.0ms	(cbrt (sin y))
99.0ms	(cbrt (sin y))
100.0ms	(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

prune291.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* x (cos y)))
0.5b	(cbrt (* x (cos y)))
0.5b	(cbrt (* x (cos y)))
0.5b	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))

rewrite12.0ms

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×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `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 → 66

Calls

4 calls:

2.0ms	(cbrt (* x (cos y)))
2.0ms	(cbrt (* x (cos y)))
2.0ms	(cbrt (* x (cos y)))
6.0ms	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))

series553.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (* x (cos y)))
135.0ms	(cbrt (* x (cos y)))
128.0ms	(cbrt (* x (cos y)))
161.0ms	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))

simplify119.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (113.0ms)

Iter	Nodes	Cost
0	179	463
1	708	412
2	3669	382
3	5001	357

prune254.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* x (cos y))) (cbrt x))
0.5b	(cbrt (* x (cos y)))
0.5b	(cbrt (* x (cos y)))
0.6b	(cbrt x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

6.0ms	(* (cbrt (* x (cos y))) (cbrt x))
2.0ms	(cbrt (* x (cos y)))
2.0ms	(cbrt (* x (cos y)))
1.0ms	(cbrt x)

series569.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(* (cbrt (* x (cos y))) (cbrt x))
128.0ms	(cbrt (* x (cos y)))
123.0ms	(cbrt (* x (cos y)))
184.0ms	(cbrt x)

simplify77.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	195	390
1	664	362
2	2767	353
3	5002	338

prune279.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes138.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	15
1	19	15

end0.0ms

sample1.5s

Algorithm

intervals

Results

619.0ms	1499×	body	1280	valid
352.0ms	1340×	body	640	valid
238.0ms	4223×	body	80	valid
105.0ms	617×	body	320	valid
38.0ms	321×	body	160	valid