Details

sample66.0ms

Algorithm

intervals

Results

26.0ms	632×	body	80	nan
13.0ms	257×	body	80	valid

simplify31.0ms

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

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

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

21×	`log-prod`
20×	`*-un-lft-identity` `associate--l+`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
11×	`add-log-exp`
10×	`associate-+l+`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1`
5×	`add-exp-log` `add-cbrt-cube`
4×	`diff-log` `associate-r` `distribute-lft-out`
3×	`sub-neg` `associate-+r+` `associate-l` `sum-log` `log-pow`
2×	`distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

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

series139.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (- (- (* x (log y)) y) z) (log t))
58.0ms	(- (* x (log y)) y)
37.0ms	(* x (log y))

simplify86.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	333	472
1	1030	432
2	3338	405
3	5002	405

prune184.0ms

Filtered

83 candidates to 56 candidates (67.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	76	7	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	7	84

Merged error: 0b

Counts

84 → 7

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

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

series158.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- (log t) z)
59.0ms	(- (* x (log y)) y)
37.0ms	(* x (log y))

simplify51.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	252	301
1	672	275
2	1912	257
3	5001	256

prune141.0ms

Filtered

70 candidates to 46 candidates (65.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	70	7	77

Merged error: 0b

Counts

77 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
20×	`add-sqr-sqrt`
17×	`add-log-exp`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `sqrt-prod`
9×	`associate-r` `associate-l`
8×	`add-exp-log` `add-cbrt-cube`
7×	`sum-log`
6×	`log-pow`
4×	`diff-log`
2×	`sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `associate-+r-` `sub-neg` `associate-+r+` `flip3--` `flip3-+` `flip--` `flip-+`

Counts

4 → 94

Calls

4 calls:

4.0ms	(- (* (log (sqrt y)) x) y)
14.0ms	(+ (* x (log (sqrt y))) (+ (- (- (* (log (sqrt y)) x) y) z) (log t)))
5.0ms	(* x (log (sqrt y)))
5.0ms	(* (log (sqrt y)) x)

series362.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (* (log (sqrt y)) x) y)
80.0ms	(+ (* x (log (sqrt y))) (+ (- (- (* (log (sqrt y)) x) y) z) (log t)))
88.0ms	(* x (log (sqrt y)))
123.0ms	(* (log (sqrt y)) x)

simplify50.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	430	864
1	1644	766
2	5001	730

prune271.0ms

Filtered

106 candidates to 75 candidates (70.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	106	7	113

Merged error: 0b

Counts

113 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

47×	`*-un-lft-identity`
30×	`log-prod`
22×	`distribute-lft-out`
20×	`associate--l+`
19×	`add-log-exp`
18×	`pow1` `add-sqr-sqrt`
16×	`add-cube-cbrt`
12×	`associate-+r+` `log-pow`
11×	`associate-+l+`
10×	`sum-log`
9×	`distribute-rgt-in` `distribute-lft-in`
7×	`diff-log`
6×	`add-exp-log` `sqrt-prod` `add-cbrt-cube` `distribute-lft-out--`
4×	`associate-r`
3×	`associate-+l-` `sub-neg` `associate-l`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 109

Calls

4 calls:

13.0ms	(+ (- (- (* x (log y)) y) z) (log (sqrt t)))
4.0ms	(- (* x (log y)) y)
16.0ms	(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
5.0ms	(* x (log y))

series209.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ (- (- (* x (log y)) y) z) (log (sqrt t)))
59.0ms	(- (* x (log y)) y)
53.0ms	(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
42.0ms	(* x (log y))

simplify45.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	453	915
1	1520	828
2	5002	778

prune234.0ms

Filtered

121 candidates to 75 candidates (62.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	121	7	128

Merged error: 0b

Counts

128 → 7

regimes236.0ms

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

sample2.3s

Algorithm

intervals

Results

1.0s	23765×	body	80	nan
419.0ms	8025×	body	80	valid
0.0ms	1×	body	1280	valid