Details

sample74.0ms

Algorithm

intervals

Results

30.0ms	878×	body	80	nan
11.0ms	257×	body	80	valid

simplify33.0ms

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

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

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

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:

7.0ms	(- (- (* x (log y)) y) z)
4.0ms	(- (* x (log y)) y)
12.0ms	(+ (- (- (* x (log y)) y) z) (log t))
5.0ms	(* x (log y))

series184.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (- (* x (log y)) y) z)
56.0ms	(- (* x (log y)) y)
49.0ms	(+ (- (- (* x (log y)) y) z) (log t))
38.0ms	(* x (log y))

simplify111.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	376	617
1	1219	584
2	4445	548
3	5001	548

prune274.0ms

Filtered

110 candidates to 76 candidates (69.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	102	8	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	8	111

Merged error: 0.0b

Counts

111 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

4.0ms	(- (* x (log y)) y)
10.0ms	(- (- (* x (log y)) y) (- z (log t)))
4.0ms	(- z (log t))
4.0ms	(* x (log y))

series168.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- (* x (log y)) y)
41.0ms	(- (- (* x (log y)) y) (- z (log t)))
32.0ms	(- z (log t))
37.0ms	(* x (log y))

simplify48.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	456	702
1	1546	669
2	5001	629

prune271.0ms

Filtered

108 candidates to 74 candidates (68.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	101	7	108
Fresh	6	1	7
Picked	0	1	1
Done	0	0	0
Total	107	9	116

Merged error: 0.0b

Counts

116 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 2 (log (cbrt y))))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

60×	`log-prod`
54×	`distribute-rgt-in` `distribute-lft-in`
36×	`cbrt-prod`
27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`associate-+l+`
12×	`associate-+r+`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

4 → 112

Calls

4 calls:

6.0ms	(* x (* 2 (log (cbrt y))))
10.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series592.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* x (* 2 (log (cbrt y))))
101.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
211.0ms	(cbrt y)
175.0ms	(cbrt y)

simplify52.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	415	890
1	1321	779
2	5002	691

prune430.0ms

Filtered

124 candidates to 94 candidates (75.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	121	3	124
Fresh	5	2	7
Picked	1	0	1
Done	0	1	1
Total	127	6	133

Merged error: 0b

Counts

133 → 6

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.0b	(pow y 1/3)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `pow1/3`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow-exp` `sqr-pow`

Counts

4 → 54

Calls

4 calls:

2.0ms	(cbrt (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series972.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(cbrt (cbrt y))
168.0ms	(cbrt y)
361.0ms	(cbrt y)
211.0ms	(pow y 1/3)

simplify48.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	128	193
1	366	170
2	1321	161
3	5001	156

prune304.0ms

Filtered

66 candidates to 52 candidates (78.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	66	6	72

Merged error: 0b

Counts

72 → 6

regimes299.0ms

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	25	17
1	25	17

end0.0ms

sample2.0s

Algorithm

intervals

Results

826.0ms	24289×	body	80	nan
341.0ms	8029×	body	80	valid
0.0ms	1×	body	640	valid