Details

sample45.0ms

Algorithm

intervals

Results

18.0ms	35×	body	1280	valid
9.0ms	181×	body	80	valid
5.0ms	20×	body	640	valid
2.0ms	14×	body	320	valid
1.0ms	6×	body	160	valid

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

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

series65.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ x (cos y))
36.0ms	(* z (sin y))

simplify38.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	147	145
1	433	129
2	1352	129
3	5001	129

prune107.0ms

Filtered

43 candidates to 32 candidates (74.4%)

Pruning

4 alts after pruning (3 fresh and 1 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)

rewrite9.0ms

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 z) (cbrt z))
0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series745.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt z) (cbrt z))
182.0ms	(cbrt z)
186.0ms	(cbrt z)
179.0ms	(cbrt z)

simplify95.0ms

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

prune282.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

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))

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:

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

series419.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
106.0ms	(cbrt (sin y))
99.0ms	(cbrt (sin y))
98.0ms	(cbrt (sin y))

simplify92.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (86.0ms)

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

prune290.0ms

Filtered

93 candidates to 68 candidates (73.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

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

series603.0ms

Counts

4 → 12

Calls

4 calls:

297.0ms	(* (expm1 (log1p (cbrt (sin y)))) (cbrt (sin y)))
98.0ms	(cbrt (sin y))
108.0ms	(cbrt (sin y))
100.0ms	(cbrt (sin y))

simplify59.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (54.0ms)

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

prune260.0ms

Filtered

75 candidates to 58 candidates (77.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes139.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

392.0ms	945×	body	1280	valid
289.0ms	5561×	body	80	valid
228.0ms	874×	body	640	valid
72.0ms	385×	body	320	valid
34.0ms	235×	body	160	valid

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5