Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

342×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	11	3
1	15	2
2	16	2
3	16	2

prune8.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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 → 2

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (* y z) z))
0.2b	(* (* y z) z)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

17.0ms	(+ x (* (* y z) z))
12.0ms	(* (* y z) z)

series100.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(+ x (* (* y z) z))
26.0ms	(* (* y z) z)

simplify138.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (133.0ms)

Iter	Nodes	Cost
0	199	202
1	798	174
2	4098	174
3	5001	173

prune108.0ms

Filtered

58 candidates to 41 candidates (70.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	51	7	58
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	52	8	60

Merged error: 0.0b

Counts

60 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
18.6b	(cbrt (* (* y z) z))
18.6b	(cbrt (* (* y z) z))
18.6b	(cbrt (* (* y z) z))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

194×	`cbrt-prod`
148×	`add-sqr-sqrt`
144×	`associate-l`
68×	`unswap-sqr`
67×	`associate-r`
55×	`*-un-lft-identity`
43×	`add-cube-cbrt`
33×	`swap-sqr`
19×	`*-commutative`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 218

Calls

4 calls:

28.0ms	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
7.0ms	(cbrt (* (* y z) z))
7.0ms	(cbrt (* (* y z) z))
7.0ms	(cbrt (* (* y z) z))

series373.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
86.0ms	(cbrt (* (* y z) z))
87.0ms	(cbrt (* (* y z) z))
90.0ms	(cbrt (* (* y z) z))

simplify58.0ms

Algorithm

egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	396	1938
1	1421	1858
2	5001	1722

prune571.0ms

Filtered

230 candidates to 163 candidates (70.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	228	2	230
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	230	8	238

Merged error: 0b

Counts

238 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

8.7b	(cbrt (* y z))
8.7b	(cbrt (* y z))
18.6b	(cbrt (* (* y z) z))
18.6b	(cbrt (* (* y z) z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

68×	`cbrt-prod`
38×	`add-sqr-sqrt`
36×	`associate-l`
20×	`add-cube-cbrt` `*-un-lft-identity`
18×	`associate-r`
10×	`unswap-sqr`
6×	`*-commutative`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 108

Calls

4 calls:

4.0ms	(cbrt (* y z))
4.0ms	(cbrt (* y z))
8.0ms	(cbrt (* (* y z) z))
8.0ms	(cbrt (* (* y z) z))

series308.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(cbrt (* y z))
66.0ms	(cbrt (* y z))
89.0ms	(cbrt (* (* y z) z))
88.0ms	(cbrt (* (* y z) z))

simplify115.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	221	646
1	524	610
2	1304	578
3	3582	554
4	5001	554

prune437.0ms

Filtered

120 candidates to 96 candidates (80.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	120	8	128

Merged error: 0b

Counts

128 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* y z)) (cbrt (* y z)))
8.7b	(cbrt (* y z))
8.7b	(cbrt (* y z))
8.7b	(cbrt (* y z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

100×	`cbrt-prod`
67×	`add-sqr-sqrt`
38×	`associate-l`
36×	`associate-r`
33×	`*-un-lft-identity`
29×	`add-cube-cbrt`
22×	`unswap-sqr`
17×	`swap-sqr`
11×	`pow1`
9×	`pow1/3`
8×	`*-commutative` `add-cbrt-cube`
6×	`add-exp-log`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 145

Calls

4 calls:

13.0ms	(* (cbrt (* y z)) (cbrt (* y z)))
3.0ms	(cbrt (* y z))
3.0ms	(cbrt (* y z))
4.0ms	(cbrt (* y z))

series279.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (cbrt (* y z)) (cbrt (* y z)))
66.0ms	(cbrt (* y z))
66.0ms	(cbrt (* y z))
66.0ms	(cbrt (* y z))

simplify84.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	277	963
1	987	905
2	3702	821
3	5002	790

prune420.0ms

Filtered

157 candidates to 113 candidates (72.0%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	157	8	165

Merged error: 0b

Counts

165 → 8

regimes147.0ms

Accuracy

0% (0.1b 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	9	3
1	9	3

end0.0ms

sample413.0ms

Algorithm

intervals

Results

211.0ms

10482×

body

valid