Details

sample21.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.987793%

Results

8.0ms

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

rewrite38.0ms

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))
5.0ms	(/ 1.0 (- x 1.0))
25.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series11.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(/ x (+ x 1.0))
2.0ms	(/ 1.0 (- x 1.0))
7.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ 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	(/ x (+ x 1.0))
0.0b	(log (exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))
0.0b	(/ 1.0 (- x 1.0))
0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

85×	`*-un-lft-identity`
43×	`times-frac`
33×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
18×	`distribute-lft-out`
9×	`associate-/r*` `log-pow`
8×	`add-exp-log` `exp-prod` `add-cbrt-cube` `distribute-lft-out--`
6×	`associate-/l*` `add-log-exp`
5×	`pow1`
4×	`log-prod` `associate-/r/` `difference-of-squares`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`+-commutative` `flip3--` `rem-log-exp` `exp-sum` `frac-add` `sum-log` `flip--`

Counts

4 → 108

Calls

4 calls:

5.0ms	(/ x (+ x 1.0))
24.0ms	(log (exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))
5.0ms	(/ 1.0 (- x 1.0))
24.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series18.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify43.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	409	691
1	1460	643
2	5001	638

prune165.0ms

Filtered

84 candidates to 120 candidates (-42.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	120	2	122

Merged error: 0b

Counts

122 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
0.0b	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

138×	`*-un-lft-identity`
55×	`times-frac`
35×	`distribute-lft-out`
28×	`add-sqr-sqrt`
22×	`cbrt-prod`
20×	`add-cube-cbrt`
16×	`unpow-prod-down` `cube-prod`
14×	`distribute-lft-out--`
7×	`add-exp-log` `add-cbrt-cube`
6×	`cube-div` `add-log-exp`
5×	`pow1` `associate-/r*`
4×	`difference-of-squares`
3×	`pow-unpow` `cbrt-div` `flip3-+` `frac-add` `flip-+` `associate-/l*`
2×	`cube-mult` `unpow3` `associate-/r/` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `flip3--` `pow-pow` `frac-2neg` `pow1/3` `div-exp` `pow-exp` `clear-num` `sum-log` `flip--` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 124

Calls

4 calls:

5.0ms	(/ 1.0 (- x 1.0))
25.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
23.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
26.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

series24.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 1.0 (- x 1.0))
6.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
8.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
8.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

simplify57.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	461	1017
1	1977	974
2	5003	968

prune156.0ms

Filtered

77 candidates to 136 candidates (-76.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	136	2	138

Merged error: 0b

Counts

138 → 2

regimes54.0ms

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

sample390.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.987793%

Results

248.0ms

8000×

body

valid

Details

sample21.0ms

simplify4.0ms

prune2.0ms

localize6.0ms

rewrite38.0ms

series11.0ms

simplify39.0ms

prune118.0ms

localize11.0ms

rewrite61.0ms

series18.0ms

simplify43.0ms

prune165.0ms

localize9.0ms

rewrite85.0ms

series24.0ms

simplify57.0ms

prune156.0ms

regimes54.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample390.0ms

Profiling