Details

sample25.0ms

Algorithm

intervals

Results

8.0ms	258×	body	80	valid
5.0ms	227×	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

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate--l+`
18×	`log-prod`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1`
5×	`add-exp-log` `add-cbrt-cube`
4×	`diff-log` `associate-r`
3×	`sub-neg` `associate-l`
2×	`flip3--` `flip--`
1×	`associate--l-` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

7.0ms	(- (- (* x (log y)) z) y)
4.0ms	(- (* x (log y)) z)
4.0ms	(* x (log y))

series123.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- (- (* x (log y)) z) y)
55.0ms	(- (* x (log y)) z)
36.0ms	(* x (log y))

simplify60.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	257	372
1	752	352
2	2351	328
3	5002	328

prune123.0ms

Filtered

76 candidates to 53 candidates (69.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	5	77

Merged error: 0.0b

Counts

77 → 5

localize14.0ms

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)

rewrite22.0ms

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)))
10.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series543.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* x (log (cbrt y)))
105.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
173.0ms	(cbrt y)
171.0ms	(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

prune291.0ms

Filtered

114 candidates to 91 candidates (79.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	111	3	114
Fresh	1	2	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)))
0.4b	(* x 1/3)
0.4b	(* (* x 1/3) (log y))
0.6b	(cbrt y)

rewrite23.0ms

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

series383.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (* x 1/3) (log y)))
13.0ms	(* x 1/3)
46.0ms	(* (* x 1/3) (log y))
171.0ms	(cbrt y)

simplify67.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	421	677
1	1947	555
2	5001	453

prune253.0ms

Filtered

107 candidates to 80 candidates (74.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	107	6	113

Merged error: 0b

Counts

113 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 113

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
10.0ms	(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series570.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* x (log (cbrt y)))
133.0ms	(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
173.0ms	(cbrt y)
172.0ms	(pow y 1/3)

simplify103.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	476	771
1	1845	671
2	5002	505

prune294.0ms

Filtered

125 candidates to 94 candidates (75.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	125	6	131

Merged error: 0b

Counts

131 → 6

regimes113.0ms

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

sample741.0ms

Algorithm

intervals

Results

239.0ms	8046×	body	80	valid
175.0ms	8024×	body	80	nan