Details

sample24.0ms

Algorithm

intervals

Results

7.0ms	258×	body	80	valid
5.0ms	226×	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)
0.3b	(* x (log y))

rewrite9.0ms

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))

series89.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(- (* x (log y)) z)
40.0ms	(* x (log y))

simplify42.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (14.0ms)

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

prune119.0ms

Filtered

49 candidates to 32 candidates (65.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	43	6	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	7	50

Merged error: 0.0b

Counts

50 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

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

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series708.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (cbrt y) (cbrt y))
166.0ms	(cbrt y)
175.0ms	(cbrt y)
170.0ms	(cbrt y)

simplify88.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune211.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) x)
0.2b	(* x (log (pow y 2/3)))
0.6b	(cbrt y)
6.1b	(pow y 2/3)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`log-prod`
10×	`pow1`
9×	`add-exp-log` `unpow-prod-down`
8×	`associate-l` `add-cbrt-cube`
7×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`add-log-exp`
3×	`cbrt-prod` `pow-unpow` `log-pow` `sqr-pow`
2×	`pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 81

Calls

4 calls:

4.0ms	(* (log (cbrt y)) x)
5.0ms	(* x (log (pow y 2/3)))
1.0ms	(cbrt y)
2.0ms	(pow y 2/3)

series538.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (log (cbrt y)) x)
76.0ms	(* x (log (pow y 2/3)))
173.0ms	(cbrt y)
173.0ms	(pow y 2/3)

simplify152.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	274	405
1	1122	342
2	4875	322
3	5002	322

prune202.0ms

Filtered

93 candidates to 59 candidates (63.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	2	3	5
Picked	1	0	1
Done	0	2	2
Total	94	7	101

Merged error: 0b

Counts

101 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) x)
0.3b	(* (* x 2/3) (log y))
0.4b	(* x 2/3)
0.6b	(cbrt y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`pow1`
13×	`add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-r`
9×	`associate-l`
6×	`log-prod`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in` `log-pow` `*-commutative`
2×	`pow1/3` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

4.0ms	(* (log (cbrt y)) x)
5.0ms	(* (* x 2/3) (log y))
3.0ms	(* x 2/3)
1.0ms	(cbrt y)

series339.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (log (cbrt y)) x)
40.0ms	(* (* x 2/3) (log y))
12.0ms	(* x 2/3)
170.0ms	(cbrt y)

simplify40.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	276	339
1	1328	290
2	5002	282

prune212.0ms

Filtered

86 candidates to 60 candidates (69.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	86	7	93

Merged error: 0b

Counts

93 → 7

regimes114.0ms

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	8	4
1	8	4

end0.0ms

sample754.0ms

Algorithm

intervals

Results

240.0ms	8028×	body	80	valid
177.0ms	7927×	body	80	nan