Details

sample96.0ms

Algorithm

intervals

Results

32.0ms	767×	body	80	nan
13.0ms	257×	body	80	valid

simplify29.0ms

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

Filtered

1 candidates to 0 candidates (100.0%)

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 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))

rewrite49.0ms

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:

16.0ms	(- (- (* x (log y)) y) z)
7.0ms	(- (* x (log y)) y)
16.0ms	(+ (- (- (* x (log y)) y) z) (log t))
4.0ms	(* x (log y))

series38.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (- (* x (log y)) y) z)
10.0ms	(- (* x (log y)) y)
13.0ms	(+ (- (- (* x (log y)) y) z) (log t))
7.0ms	(* x (log y))

simplify89.0ms

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

prune118.0ms

Filtered

110 candidates to 76 candidates (30.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	104	6	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	104	7	111

Merged error: 0.0b

Counts

111 → 7

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)

rewrite23.0ms

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)))
12.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series86.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* x (log (cbrt y)))
21.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
21.0ms	(cbrt y)
22.0ms	(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

prune144.0ms

Filtered

114 candidates to 87 candidates (23.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	111	3	114
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	115	6	121

Merged error: 0b

Counts

121 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (- (* x (* 3 (log (cbrt y)))) y) z) (log t))
0.3b	(* 3 (log (cbrt y)))
0.3b	(* x (* 3 (log (cbrt y))))
0.6b	(cbrt y)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

63×	`log-prod`
54×	`distribute-rgt-in` `distribute-lft-in`
50×	`associate--l+`
37×	`*-un-lft-identity`
33×	`cbrt-prod`
31×	`add-sqr-sqrt`
29×	`add-cube-cbrt`
28×	`associate-+l+`
14×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
6×	`associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `log-pow` `cbrt-unprod` `distribute-lft-out`
3×	`associate-+r+` `diff-log` `sum-log`
2×	`sub-neg` `pow1/3` `*-commutative` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+` `unswap-sqr`

Counts

4 → 134

Calls

4 calls:

16.0ms	(+ (- (- (* x (* 3 (log (cbrt y)))) y) z) (log t))
5.0ms	(* 3 (log (cbrt y)))
6.0ms	(* x (* 3 (log (cbrt y))))
1.0ms	(cbrt y)

series111.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (- (- (* x (* 3 (log (cbrt y)))) y) z) (log t))
39.0ms	(* 3 (log (cbrt y)))
23.0ms	(* x (* 3 (log (cbrt y))))
22.0ms	(cbrt y)

simplify54.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	558	1107
1	1687	1009
2	5001	972

prune143.0ms

Filtered

146 candidates to 94 candidates (35.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	147	5	152

Merged error: 0b

Counts

152 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (cbrt y))
0.0b	(+ (- (- (* (* x 3) (log (cbrt y))) y) z) (log t))
0.4b	(* (* x 3) (log (cbrt y)))
0.6b	(cbrt y)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

33×	`log-prod`
26×	`associate--l+`
25×	`*-un-lft-identity`
18×	`cbrt-prod`
17×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`associate-+l+`
13×	`pow1`
12×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-log-exp`
9×	`add-cbrt-cube`
6×	`log-pow`
5×	`associate-r`
4×	`distribute-lft-out`
3×	`associate-+r+` `pow1/3` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod`
2×	`sub-neg` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `flip3-+` `rem-log-exp` `associate-l` `*-commutative` `flip-+`

Counts

4 → 96

Calls

4 calls:

2.0ms	(log (cbrt y))
16.0ms	(+ (- (- (* (* x 3) (log (cbrt y))) y) z) (log t))
6.0ms	(* (* x 3) (log (cbrt y)))
1.0ms	(cbrt y)

series108.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(log (cbrt y))
26.0ms	(+ (- (- (* (* x 3) (log (cbrt y))) y) z) (log t))
21.0ms	(* (* x 3) (log (cbrt y)))
22.0ms	(cbrt y)

simplify45.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	432	772
1	1494	696
2	5002	663

prune99.0ms

Filtered

108 candidates to 73 candidates (32.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	108	5	113

Merged error: 0b

Counts

113 → 5

regimes521.0ms

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

998.0ms	23932×	body	80	nan
409.0ms	8039×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid

Details

sample96.0ms

simplify29.0ms

prune4.0ms

localize10.0ms

rewrite49.0ms

series38.0ms

simplify89.0ms

prune118.0ms

localize15.0ms

rewrite23.0ms

series86.0ms

simplify47.0ms

prune144.0ms

localize13.0ms

rewrite35.0ms

series111.0ms

simplify54.0ms

prune143.0ms

localize13.0ms

rewrite28.0ms

series108.0ms

simplify45.0ms

prune99.0ms

regimes521.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.8s

Profiling