Details

sample52.0ms

Algorithm

intervals

Results

19.0ms	44×	body	1280	valid
10.0ms	152×	body	80	valid
9.0ms	35×	body	640	valid
3.0ms	15×	body	320	valid
1.0ms	10×	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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize14.0ms

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))

rewrite14.0ms

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))
5.0ms	(* x (cos y))

series145.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(- (* x (cos y)) (* z (sin y)))
42.0ms	(* z (sin y))
37.0ms	(* x (cos y))

simplify67.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (62.0ms)

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

prune160.0ms

Filtered

65 candidates to 47 candidates (72.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	56	9	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	9	66

Merged error: 0.0b

Counts

66 → 9

localize14.0ms

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:

6.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series426.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
102.0ms	(cbrt (sin y))
106.0ms	(cbrt (sin y))
102.0ms	(cbrt (sin y))

simplify97.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (91.0ms)

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

prune246.0ms

Filtered

93 candidates to 68 candidates (73.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	92	10	102

Merged error: 0.0b

Counts

102 → 10

localize14.0ms

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)

series749.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(* (cbrt z) (cbrt z))
179.0ms	(cbrt z)
186.0ms	(cbrt z)
177.0ms	(cbrt z)

simplify89.0ms

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

prune253.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	91	12	103

Merged error: 0.0b

Counts

103 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
9.4b	(cbrt (* z (sin y)))
9.4b	(cbrt (* z (sin y)))
9.4b	(cbrt (* z (sin y)))

rewrite15.0ms

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:

5.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))

series527.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
125.0ms	(cbrt (* z (sin y)))
129.0ms	(cbrt (* z (sin y)))
121.0ms	(cbrt (* z (sin y)))

simplify92.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	195	499
1	648	448
2	3129	396
3	5002	368

prune203.0ms

Filtered

78 candidates to 61 candidates (78.2%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	78	12	90

Merged error: 0.0b

Counts

90 → 12

regimes140.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b 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

sample1.7s

Algorithm

intervals

Results

666.0ms	1498×	body	1280	valid
361.0ms	1275×	body	640	valid
279.0ms	4270×	body	80	valid
124.0ms	650×	body	320	valid
41.0ms	307×	body	160	valid