Details

sample20.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.987793%

Results

7.0ms

256×

body

valid

simplify4.0ms

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

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 3 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
35×	`times-frac`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`associate-/r/` `difference-of-squares`
3×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`+-commutative` `flip3--` `frac-add` `sum-log` `flip--`

Counts

3 → 87

Calls

3 calls:

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

series11.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(/ x (+ x 1.0))
6.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
2.0ms	(/ 1.0 (- x 1.0))

simplify39.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	379	534
1	1365	507
2	5001	502

prune118.0ms

Filtered

70 candidates to 96 candidates (-37.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	2	97

Merged error: 0b

Counts

97 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1.0 (- x 1.0)) (log (exp (/ x (+ x 1.0)))))
0.0b	(exp (/ x (+ x 1.0)))
0.0b	(/ 1.0 (- x 1.0))
2.8b	(log (exp (/ x (+ x 1.0))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
39×	`times-frac`
36×	`exp-prod`
32×	`add-cube-cbrt`
20×	`log-pow`
8×	`distribute-lft-out`
6×	`pow1` `add-exp-log` `log-prod` `associate-/r/` `add-cbrt-cube` `add-log-exp`
5×	`associate-/r*`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`associate-+r+` `flip3-+` `flip-+` `div-inv` `associate-/l*`
1×	`cbrt-undiv` `+-commutative` `flip3--` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `sum-log` `flip--` `rem-exp-log`

Counts

4 → 109

Calls

4 calls:

28.0ms	(+ (/ 1.0 (- x 1.0)) (log (exp (/ x (+ x 1.0)))))
5.0ms	(exp (/ x (+ x 1.0)))
5.0ms	(/ 1.0 (- x 1.0))
6.0ms	(log (exp (/ x (+ x 1.0))))

series15.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ (/ 1.0 (- x 1.0)) (log (exp (/ x (+ x 1.0)))))
3.0ms	(exp (/ x (+ x 1.0)))
2.0ms	(/ 1.0 (- x 1.0))
3.0ms	(log (exp (/ x (+ x 1.0))))

simplify42.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	403	669
1	1269	621
2	5001	612

prune178.0ms

Filtered

93 candidates to 121 candidates (-30.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	121	2	123

Merged error: 0b

Counts

123 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
0.0b	(/ 1.0 (- x 1.0))
0.1b	(/ 1 (/ (+ x 1.0) x))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

115×	`times-frac`
106×	`*-un-lft-identity`
70×	`add-sqr-sqrt`
62×	`add-cube-cbrt`
21×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`div-inv`
6×	`associate-/l*`
5×	`distribute-lft-out--` `add-log-exp`
4×	`pow1` `cbrt-undiv` `difference-of-squares`
3×	`associate-/r/`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`+-commutative` `flip3--` `pow-flip` `flip3-+` `frac-add` `sum-log` `flip--` `flip-+` `inv-pow`

Counts

3 → 141

Calls

3 calls:

49.0ms	(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
5.0ms	(/ 1.0 (- x 1.0))
8.0ms	(/ 1 (/ (+ x 1.0) x))

series11.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
2.0ms	(/ 1.0 (- x 1.0))
3.0ms	(/ 1 (/ (+ x 1.0) x))

simplify62.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	590	1031
1	2660	842
2	5001	833

prune130.0ms

Filtered

81 candidates to 150 candidates (-85.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	150	2	152

Merged error: 0b

Counts

152 → 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

sample355.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.987793%

Results

223.0ms

8000×

body

valid

Details

sample20.0ms

simplify4.0ms

prune2.0ms

localize6.0ms

rewrite40.0ms

series11.0ms

simplify39.0ms

prune118.0ms

localize11.0ms

rewrite48.0ms

series15.0ms

simplify42.0ms

prune178.0ms

localize7.0ms

rewrite68.0ms

series11.0ms

simplify62.0ms

prune130.0ms

regimes24.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample355.0ms

Profiling