Details

sample41.0ms

Algorithm

intervals

Results

12.0ms	257×	body	80	valid
9.0ms	267×	body	80	nan

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

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

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x (log y)) z)
0.3b	(* x (log y))

rewrite18.0ms

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:

8.0ms	(- (* x (log y)) z)
8.0ms	(* x (log y))

series138.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(- (* x (log y)) z)
67.0ms	(* 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

prune94.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 96

Calls

4 calls:

6.0ms	(* x (* 2 (log (cbrt y))))
5.0ms	(* x (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series535.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* x (* 2 (log (cbrt y))))
90.0ms	(* x (log (cbrt y)))
171.0ms	(cbrt y)
173.0ms	(cbrt y)

simplify41.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	291	642
1	1173	565
2	5001	541

prune296.0ms

Filtered

108 candidates to 68 candidates (63.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	3	0	3
Picked	1	0	1
Done	0	1	1
Total	109	4	113

Merged error: 0b

Counts

113 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 47

Calls

4 calls:

2.0ms	(cbrt (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series788.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(cbrt (cbrt y))
171.0ms	(cbrt y)
185.0ms	(cbrt y)
174.0ms	(cbrt y)

simplify53.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	71	191
1	141	177
2	357	169
3	1377	169
4	5001	169

prune269.0ms

Filtered

59 candidates to 52 candidates (88.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	59	4	63

Merged error: 0b

Counts

63 → 4

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.6b	(cbrt y)
4.2b	(exp (log (pow y 1/3)))
4.9b	(pow y 1/3)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

19×	`log-prod`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod`
8×	`pow1`
7×	`add-exp-log` `exp-sum`
6×	`distribute-rgt-in` `unpow-prod-down` `distribute-lft-in` `add-cbrt-cube`
5×	`associate-r`
4×	`exp-prod` `add-log-exp`
3×	`pow-unpow` `associate-l` `log-pow`
2×	`pow1/3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `rem-exp-log` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
1.0ms	(cbrt y)
4.0ms	(exp (log (pow y 1/3)))
2.0ms	(pow y 1/3)

series612.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* x (log (cbrt y)))
182.0ms	(cbrt y)
171.0ms	(exp (log (pow y 1/3)))
168.0ms	(pow y 1/3)

simplify118.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	234	350
1	829	299
2	3459	259
3	5002	237

prune227.0ms

Filtered

92 candidates to 52 candidates (56.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	92	4	96

Merged error: 0b

Counts

96 → 4

regimes97.0ms

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	17
1	24	17

end0.0ms

sample718.0ms

Algorithm

intervals

Results

232.0ms	8036×	body	80	valid
170.0ms	8106×	body	80	nan
0.0ms	1×	body	1280	valid