Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	5
1	12	5
2	12	5

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b	(/ 1.0 (- x 1.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity`
38×	`times-frac`
35×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `fma-def`
9×	`distribute-lft-out--`
7×	`distribute-lft-out` `difference-of-squares`
5×	`associate-/r*`
4×	`add-exp-log` `associate-/r/` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `div-inv`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `flip3-+` `div-exp` `frac-add` `clear-num` `sum-log` `flip-+`

Counts

2 → 79

Calls

2 calls:

26.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms	(/ 1.0 (- x 1.0))

series155.0ms

Counts

2 → 6

Calls

2 calls:

127.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
28.0ms	(/ 1.0 (- x 1.0))

simplify173.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	300	376
1	1054	358
2	4738	354
3	5001	354

prune135.0ms

Filtered

85 candidates to 66 candidates (77.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	2	86

Merged error: 0b

Counts

86 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b	(log1p (expm1 (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))
0.0b	(/ 1.0 (- x 1.0))
0.5b	(expm1 (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
38×	`times-frac`
37×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
21×	`fma-def`
9×	`distribute-lft-out--`
7×	`distribute-lft-out` `difference-of-squares`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-/r*` `log1p-expm1-u`
4×	`pow1` `expm1-log1p-u` `associate-/r/`
3×	`associate-/l*`
2×	`flip3--` `flip--` `div-inv`
1×	`cbrt-undiv` `+-commutative` `log1p-udef` `expm1-log1p` `frac-2neg` `flip3-+` `log1p-expm1` `div-exp` `frac-add` `clear-num` `sum-log` `flip-+` `expm1-udef`

Counts

4 → 101

Calls

4 calls:

24.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
1.0ms	(log1p (expm1 (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))
5.0ms	(/ 1.0 (- x 1.0))
1.0ms	(expm1 (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))

series898.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
501.0ms	(log1p (expm1 (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))
33.0ms	(/ 1.0 (- x 1.0))
243.0ms	(expm1 (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))

simplify40.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	380	592
1	1313	548
2	5002	545

prune215.0ms

Filtered

113 candidates to 89 candidates (78.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	113	2	115

Merged error: 0b

Counts

115 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (exp (/ 1.0 (- x 1.0)))) (/ x (+ x 1.0)))
0.0b	(exp (/ 1.0 (- x 1.0)))
0.0b	(/ 1.0 (- x 1.0))
2.1b	(log (exp (/ 1.0 (- x 1.0))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

73×	`*-un-lft-identity`
70×	`add-sqr-sqrt`
63×	`exp-prod`
60×	`times-frac`
45×	`log-pow`
44×	`add-cube-cbrt`
25×	`fma-def`
13×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/r/`
7×	`pow1`
6×	`add-exp-log` `log-prod` `add-cbrt-cube` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `div-inv`
3×	`associate-+l+` `associate-/l*`
2×	`distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `clear-num` `sum-log` `flip-+` `rem-exp-log`

Counts

4 → 148

Calls

4 calls:

30.0ms	(+ (log (exp (/ 1.0 (- x 1.0)))) (/ x (+ x 1.0)))
6.0ms	(exp (/ 1.0 (- x 1.0)))
5.0ms	(/ 1.0 (- x 1.0))
11.0ms	(log (exp (/ 1.0 (- x 1.0))))

series230.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(+ (log (exp (/ 1.0 (- x 1.0)))) (/ x (+ x 1.0)))
43.0ms	(exp (/ 1.0 (- x 1.0)))
28.0ms	(/ 1.0 (- x 1.0))
32.0ms	(log (exp (/ 1.0 (- x 1.0))))

simplify42.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	391	736
1	1198	686
2	5001	678

prune304.0ms

Filtered

160 candidates to 129 candidates (80.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	160	2	162

Merged error: 0b

Counts

162 → 2

regimes24.0ms

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	11	7
1	11	7

end0.0ms

sample265.0ms

Algorithm

intervals

Results

180.0ms

8000×

body

valid