Details

sample26.0ms

Algorithm

intervals

Results

7.0ms	258×	body	80	valid
6.0ms	274×	body	80	nan

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	41	4
3	52	4
4	85	4
5	106	4
6	141	4
7	215	4
8	236	4
9	236	4

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x (log y)) z)
0.2b	(* x (log y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
5×	`pow1`
4×	`add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

4.0ms	(- (* x (log y)) z)
4.0ms	(* x (log y))

series90.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(- (* x (log y)) z)
40.0ms	(* x (log y))

simplify42.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	171	218
1	516	200
2	1464	185
3	5001	185

prune96.0ms

Filtered

49 candidates to 32 candidates (65.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	45	4	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	5	50

Merged error: 0.0b

Counts

50 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
20.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series528.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* x (log (cbrt y)))
100.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
169.0ms	(cbrt y)
167.0ms	(cbrt y)

simplify53.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	345	729
1	1431	634
2	5001	547

prune388.0ms

Filtered

114 candidates to 91 candidates (79.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	3	0	3
Picked	1	0	1
Done	0	1	1
Total	116	3	119

Merged error: 0.0b

Counts

119 → 3

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (pow y 1/3)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

52×	`log-prod`
38×	`distribute-rgt-in` `distribute-lft-in`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
24×	`associate-+l+`
15×	`cbrt-prod` `unpow-prod-down`
14×	`associate-+r+`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`sqr-pow`
4×	`associate-r`
3×	`pow-unpow` `associate-l`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

9.0ms	(* x (log (pow y 1/3)))
18.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
2.0ms	(cbrt y)
4.0ms	(pow y 1/3)

series571.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* x (log (pow y 1/3)))
128.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
176.0ms	(cbrt y)
191.0ms	(pow y 1/3)

simplify62.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	445	770
1	1784	666
2	5001	518

prune354.0ms

Filtered

124 candidates to 93 candidates (75.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	124	3	127

Merged error: 0b

Counts

127 → 3

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
3.6b	(pow (cbrt y) 1/3)
4.5b	(pow (pow y 1/3) 2/3)
5.1b	(pow y 1/3)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

19×	`unpow-prod-down`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow-unpow`
8×	`add-exp-log`
6×	`pow1` `cbrt-prod` `pow-exp`
4×	`pow-to-exp` `pow-pow` `add-cbrt-cube` `add-log-exp` `sqr-pow`
2×	`unpow1/3` `pow1/3`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt y)
3.0ms	(pow (cbrt y) 1/3)
4.0ms	(pow (pow y 1/3) 2/3)
2.0ms	(pow y 1/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt y)
304.0ms	(pow (cbrt y) 1/3)
315.0ms	(pow (pow y 1/3) 2/3)
248.0ms	(pow y 1/3)

simplify81.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	230	256
1	705	233
2	2571	225
3	5003	221

prune270.0ms

Filtered

86 candidates to 56 candidates (65.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	86	3	89

Merged error: 0b

Counts

89 → 3

regimes79.0ms

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	24	14
1	24	14

end0.0ms

sample716.0ms

Algorithm

intervals

Results

226.0ms	8031×	body	80	valid
173.0ms	7929×	body	80	nan
1.0ms	1×	body	2560	valid