Details

sample48.0ms

Algorithm

intervals

Results

15.0ms	37×	body	1280	valid
12.0ms	166×	body	80	valid
8.0ms	30×	body	640	valid
3.0ms	14×	body	320	valid
1.0ms	9×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	13	5
1	22	4
2	28	4
3	28	4

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

4.0ms	(+ x (sin y))
6.0ms	(+ (+ x (sin y)) (* z (cos y)))
4.0ms	(* z (cos y))

series97.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ x (sin y))
39.0ms	(+ (+ x (sin y)) (* z (cos y)))
34.0ms	(* z (cos y))

simplify71.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	208	268
1	743	242
2	2955	242
3	5001	242

prune174.0ms

Filtered

65 candidates to 50 candidates (76.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	59	6	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	7	66

Merged error: 0.0b

Counts

66 → 7

localize18.0ms

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))) (cbrt (* z (cos y))))

rewrite14.0ms

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

series502.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(cbrt (* z (cos y)))
119.0ms	(cbrt (* z (cos y)))
116.0ms	(cbrt (* z (cos y)))
142.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))

simplify125.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (119.0ms)

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

prune197.0ms

Filtered

78 candidates to 60 candidates (76.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	79	6	85

Merged error: 0.0b

Counts

85 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

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:

5.0ms	(* (cbrt (* z (cos y))) (cbrt z))
2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))
1.0ms	(cbrt z)

series537.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (cbrt (* z (cos y))) (cbrt z))
123.0ms	(cbrt (* z (cos y)))
117.0ms	(cbrt (* z (cos y)))
169.0ms	(cbrt z)

simplify73.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (67.0ms)

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

prune222.0ms

Filtered

73 candidates to 61 candidates (83.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	73	6	79

Merged error: 0.0b

Counts

79 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(* (cbrt z) (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:

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

series712.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt z)
172.0ms	(cbrt z)
171.0ms	(cbrt z)
191.0ms	(* (cbrt z) (cbrt z))

simplify88.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	119	308
1	484	281
2	2976	258
3	5001	255

prune227.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	1	2
Picked	0	1	1
Done	0	3	3
Total	93	6	99

Merged error: 0.0b

Counts

99 → 6

regimes121.0ms

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

sample1.3s

Algorithm

intervals

Results

433.0ms	995×	body	1280	valid
306.0ms	5609×	body	80	valid
208.0ms	767×	body	640	valid
84.0ms	421×	body	320	valid
27.0ms	208×	body	160	valid