Details

sample66.0ms

Algorithm

intervals

Results

34.0ms	785×	body	80	nan
13.0ms	256×	body	80	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	7
1	16	7
2	16	7

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: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.0b	(/ (sqrt (- 1.0 (* x x))) x)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
27×	`times-frac`
25×	`add-sqr-sqrt`
21×	`add-cube-cbrt`
16×	`sqrt-prod`
8×	`log-prod`
7×	`associate-/l*`
5×	`add-exp-log`
4×	`add-cbrt-cube` `distribute-lft-out` `difference-of-squares`
3×	`pow1` `log-div` `associate-/r*` `div-inv`
2×	`sqrt-div` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `distribute-rgt-out` `flip3--` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `frac-add` `clear-num` `log-pow` `flip--` `flip-+`

Counts

2 → 65

Calls

2 calls:

23.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
6.0ms	(/ (sqrt (- 1.0 (* x x))) x)

series429.0ms

Counts

2 → 6

Calls

2 calls:

299.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
130.0ms	(/ (sqrt (- 1.0 (* x x))) x)

simplify43.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	421	699
1	1454	665
2	5002	654

prune148.0ms

Filtered

71 candidates to 54 candidates (76.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	2	72

Merged error: 0b

Counts

72 → 2

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (+ (/ 1.0 x) (exp (log (/ (sqrt (- 1.0 (* x x))) x)))))
0.0b	(/ (sqrt (- 1.0 (* x x))) x)
5.8b	(exp (log (/ (sqrt (- 1.0 (* x x))) x)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt` `times-frac`
37×	`*-un-lft-identity`
35×	`add-cube-cbrt`
29×	`log-prod`
28×	`sqrt-prod`
25×	`exp-sum`
7×	`associate-/l*` `difference-of-squares`
6×	`add-exp-log`
5×	`pow1` `log-div` `add-cbrt-cube`
4×	`exp-prod`
3×	`associate-/r*` `add-log-exp`
2×	`exp-diff` `sqrt-div` `log-pow` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `frac-add` `clear-num` `flip--` `flip-+` `rem-exp-log` `distribute-lft-out`

Counts

3 → 99

Calls

3 calls:

28.0ms	(log (+ (/ 1.0 x) (exp (log (/ (sqrt (- 1.0 (* x x))) x)))))
6.0ms	(/ (sqrt (- 1.0 (* x x))) x)
7.0ms	(exp (log (/ (sqrt (- 1.0 (* x x))) x)))

series554.0ms

Counts

3 → 9

Calls

3 calls:

293.0ms	(log (+ (/ 1.0 x) (exp (log (/ (sqrt (- 1.0 (* x x))) x)))))
132.0ms	(/ (sqrt (- 1.0 (* x x))) x)
128.0ms	(exp (log (/ (sqrt (- 1.0 (* x x))) x)))

simplify51.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	537	1086
1	1810	1030
2	5002	998

prune244.0ms

Filtered

108 candidates to 81 candidates (75.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	108	2	110

Merged error: 0b

Counts

110 → 2

regimes50.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s	24033×	body	80	nan
402.0ms	8000×	body	80	valid