Details

sample96.0ms

Algorithm

intervals

Results

33.0ms	811×	body	80	nan
13.0ms	257×	body	80	valid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	6
1	48	6
2	118	6
3	247	6
4	525	6
5	732	6
6	937	6
7	1108	6
8	1128	6
9	1128	6

prune4.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

34×	`associate--l+`
27×	`log-prod`
25×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`add-log-exp`
15×	`add-cube-cbrt`
12×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-+l+`
9×	`pow1`
7×	`diff-log`
6×	`add-exp-log` `add-cbrt-cube`
5×	`sub-neg`
4×	`associate-r` `distribute-lft-out`
3×	`associate-+r+` `associate-l` `sum-log` `log-pow` `distribute-lft-out--`
2×	`flip3--` `flip--`
1×	`+-commutative` `associate--l-` `associate-+l-` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

11.0ms	(+ (- (- (* x (log y)) y) z) (log t))
7.0ms	(- (- (* x (log y)) y) z)
4.0ms	(- (* x (log y)) y)
4.0ms	(* x (log y))

series39.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ (- (- (* x (log y)) y) z) (log t))
8.0ms	(- (- (* x (log y)) y) z)
10.0ms	(- (* x (log y)) y)
7.0ms	(* x (log y))

simplify87.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	403	637
1	1259	592
2	4208	548
3	5002	548

prune123.0ms

Filtered

76 candidates to 110 candidates (-44.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	106	4	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	106	5	111

Merged error: 0.0b

Counts

111 → 5

localize15.0ms

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)

rewrite20.0ms

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)))
9.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series83.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* x (log (cbrt y)))
21.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
23.0ms	(cbrt y)
20.0ms	(cbrt y)

simplify47.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	362	765
1	1356	673
2	5002	593

prune143.0ms

Filtered

87 candidates to 114 candidates (-31.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	109	5	114
Fresh	3	0	3
Picked	1	0	1
Done	0	1	1
Total	113	6	119

Merged error: 0b

Counts

119 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

9.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (* x 1/3) (log y)))
3.0ms	(* x 1/3)
5.0ms	(* (* x 1/3) (log y))
1.0ms	(cbrt y)

series59.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (* x 1/3) (log y)))
2.0ms	(* x 1/3)
8.0ms	(* (* x 1/3) (log y))
21.0ms	(cbrt y)

simplify60.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	414	690
1	1898	604
2	5001	562

prune134.0ms

Filtered

80 candidates to 107 candidates (-33.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	108	5	113

Merged error: 0b

Counts

113 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (cbrt y))
0.3b	(* x (* 3 (log (cbrt y))))
0.3b	(* 3 (log (cbrt y)))
0.6b	(cbrt y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

2.0ms	(log (cbrt y))
6.0ms	(* x (* 3 (log (cbrt y))))
5.0ms	(* 3 (log (cbrt y)))
1.0ms	(cbrt y)

series115.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(log (cbrt y))
19.0ms	(* x (* 3 (log (cbrt y))))
37.0ms	(* 3 (log (cbrt y)))
23.0ms	(cbrt y)

simplify131.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (123.0ms)

Iter	Nodes	Cost
0	289	704
1	995	625
2	4521	589
3	5002	528

prune94.0ms

Filtered

65 candidates to 113 candidates (-73.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	113	5	118

Merged error: 0b

Counts

118 → 5

regimes538.0ms

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	12	6
1	12	6

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.0s	24204×	body	80	nan
418.0ms	8037×	body	80	valid

Details

sample96.0ms

simplify28.0ms

prune4.0ms

localize10.0ms

rewrite28.0ms

series39.0ms

simplify87.0ms

prune123.0ms

localize15.0ms

rewrite20.0ms

series83.0ms

simplify47.0ms

prune143.0ms

localize18.0ms

rewrite24.0ms

series59.0ms

simplify60.0ms

prune134.0ms

localize13.0ms

rewrite17.0ms

series115.0ms

simplify131.0ms

prune94.0ms

regimes538.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.8s

Profiling