Details

sample174.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 97.668457%

Results

6.0ms	247×	body	80	valid
1.0ms	4×	body	2560	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	4
1	11	4
2	11	4

prune3.0ms

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 1 expressions with local error:

0.0b	(+ x (/ (fabs (- y x)) 2.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

6.0ms

(+ x (/ (fabs (- y x)) 2.0))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(+ x (/ (fabs (- y x)) 2.0))

simplify113.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	83	100
1	207	91
2	481	91
3	1288	91
4	3899	91
5	5002	91

prune31.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	12	3	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	4	16

Merged error: 0.0b

Counts

16 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

15.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
5.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series84.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
19.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
19.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
22.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify54.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	386	1546
1	1304	1467
2	5001	1344

prune210.0ms

Filtered

72 candidates to 107 candidates (-48.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	106	5	111

Merged error: 0.0b

Counts

111 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod`
17×	`*-un-lft-identity`
10×	`cbrt-div`
9×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 59

Calls

4 calls:

6.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

series79.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
19.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
19.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
20.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify86.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	324	960
1	944	914
2	3639	882
3	5001	871

prune219.0ms

Filtered

54 candidates to 71 candidates (-31.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	71	5	76

Merged error: 0.0b

Counts

76 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (fabs (- y x)) 2.0))
0.0b	(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
14.0b	(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
31.0b	(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
70×	`times-frac`
56×	`*-un-lft-identity`
44×	`add-cube-cbrt`
20×	`difference-of-squares`
18×	`add-exp-log` `add-cbrt-cube`
13×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
8×	`add-log-exp`
6×	`associate-/r*` `distribute-lft-out--`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`flip3--` `prod-exp` `flip--` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`pow2` `frac-times` `frac-2neg` `pow-plus` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 146

Calls

4 calls:

6.0ms	(- x (/ (fabs (- y x)) 2.0))
10.0ms	(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
3.0ms	(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
11.0ms	(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

series38.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- x (/ (fabs (- y x)) 2.0))
7.0ms	(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
8.0ms	(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
18.0ms	(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

simplify106.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	646	2135
1	3374	1888
2	5001	1853

prune203.0ms

Filtered

115 candidates to 158 candidates (-37.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	1	0	1
Picked	0	1	1
Done	1	2	3
Total	159	4	163

Merged error: 0.0b

Counts

163 → 4

regimes129.0ms

Accuracy

0% (0.0b 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	8	4
1	8	4

end0.0ms

sample559.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 97.668457%

Results

184.0ms	7674×	body	80	valid
13.0ms	118×	body	1280	valid
9.0ms	76×	body	640	valid
6.0ms	48×	body	2560	valid
3.0ms	50×	body	320	valid
2.0ms	34×	body	160	valid
0.0ms	3×	body	80	invalid

Details

sample174.0ms

simplify4.0ms

prune3.0ms

localize6.0ms

rewrite6.0ms

series5.0ms

simplify113.0ms

prune31.0ms

localize9.0ms

rewrite35.0ms

series84.0ms

simplify54.0ms

prune210.0ms

localize17.0ms

rewrite25.0ms

series79.0ms

simplify86.0ms

prune219.0ms

localize10.0ms

rewrite36.0ms

series38.0ms

simplify106.0ms

prune203.0ms

regimes129.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample559.0ms

Profiling