Details

sample32.0ms

Algorithm

intervals

Results

11.0ms	260×	body	80	valid
7.0ms	274×	body	80	nan

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	18	4
2	25	4
3	45	4
4	76	4
5	102	4
6	122	4
7	152	4
8	246	4
9	353	4
10	559	4
11	562	4
12	563	4
13	563	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: 14.1b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (log (/ x y))) z)
0.2b	(* x (log (/ x y)))
13.8b	(log (/ x y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

65×	`log-prod`
45×	`times-frac`
43×	`add-sqr-sqrt`
41×	`add-cube-cbrt` `*-un-lft-identity`
26×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
8×	`add-exp-log`
7×	`pow1`
5×	`add-cbrt-cube` `div-inv` `add-log-exp`
4×	`associate-r`
3×	`expm1-log1p-u` `associate-l` `prod-diff` `log1p-expm1-u`
2×	`rem-log-exp` `log-pow`
1×	`sub-neg` `log-div` `flip3--` `fma-neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

3 → 117

Calls

3 calls:

7.0ms	(- (* x (log (/ x y))) z)
6.0ms	(* x (log (/ x y)))
3.0ms	(log (/ x y))

series153.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(- (* x (log (/ x y))) z)
50.0ms	(* x (log (/ x y)))
35.0ms	(log (/ x y))

simplify48.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	413	767
1	1429	702
2	5001	683

prune295.0ms

Filtered

126 candidates to 91 candidates (72.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	118	8	126
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	119	8	127

Merged error: 0.0b

Counts

127 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series721.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt y)
187.0ms	(cbrt y)
179.0ms	(cbrt x)
176.0ms	(cbrt x)

simplify53.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	73	172
1	149	160
2	350	152
3	1283	152
4	5001	152

prune275.0ms

Filtered

64 candidates to 56 candidates (87.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	64	8	72

Merged error: 0.0b

Counts

72 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
4.2b	(log (/ x (cbrt y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

22×	`log-prod`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-prod` `times-frac`
7×	`add-exp-log`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`rem-log-exp`
1×	`log-div` `div-exp` `log-pow` `div-inv`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
4.0ms	(log (/ x (cbrt y)))

series669.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt y)
176.0ms	(cbrt y)
175.0ms	(cbrt y)
134.0ms	(log (/ x (cbrt y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	233	406
1	548	383
2	1616	369
3	5001	355

prune314.0ms

Filtered

86 candidates to 71 candidates (82.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	86	8	94

Merged error: 0b

Counts

94 → 8

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (* (cbrt y) (cbrt y)))
0.6b	(cbrt (cbrt y))
1.4b	(log (/ x (cbrt (cbrt y))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

40×	`cbrt-prod`
31×	`log-prod`
27×	`times-frac`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-exp-log`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`rem-log-exp`
1×	`log-div` `div-exp` `log-pow` `div-inv`

Counts

4 → 84

Calls

4 calls:

1.0ms	(cbrt y)
4.0ms	(cbrt (* (cbrt y) (cbrt y)))
2.0ms	(cbrt (cbrt y))
5.0ms	(log (/ x (cbrt (cbrt y))))

series888.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt y)
268.0ms	(cbrt (* (cbrt y) (cbrt y)))
243.0ms	(cbrt (cbrt y))
193.0ms	(log (/ x (cbrt (cbrt y))))

simplify76.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	348	639
1	842	605
2	3189	587
3	5001	564

prune437.0ms

Filtered

96 candidates to 80 candidates (83.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	97	7	104

Merged error: 0b

Counts

104 → 7

regimes139.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	14
1	24	14
2	24	14

end0.0ms

sample977.0ms

Algorithm

intervals

Results

398.0ms	8180×	body	80	nan
248.0ms	8036×	body	80	valid

Iter	Nodes	Cost
0	14	4
1	18	4
2	25	4
3	45	4
4	76	4
5	102	4
6	122	4
7	152	4
8	246	4
9	353	4
10	559	4
11	562	4
12	563	4
13	563	4

Iter	Nodes	Cost
0	14	4
1	18	4
2	25	4
3	45	4
4	76	4
5	102	4
6	122	4
7	152	4
8	246	4
9	353	4
10	559	4
11	562	4
12	563	4
13	563	4

Iter	Nodes	Cost
0	14	4
1	18	4
2	25	4
3	45	4
4	76	4
5	102	4
6	122	4
7	152	4
8	246	4
9	353	4
10	559	4
11	562	4
12	563	4
13	563	4