Details

sample909.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 88.876343%

Guaranteed chance to sample good point: 56.186557%

Results

69.0ms	174×	body	640	valid
22.0ms	219×	body	80	nan
19.0ms	49×	body	320	valid
3.0ms	6×	body	1280	valid
2.0ms	18×	body	80	valid
2.0ms	9×	body	160	valid

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	19
1	156	19
2	907	19
3	5001	19

prune5.0ms

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: 5.2b

Counts

2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

2.5b	(- (sqrt (+ z 1.0)) (sqrt z))
2.8b	(- (sqrt (+ y 1.0)) (sqrt y))
3.1b	(- (sqrt (+ t 1.0)) (sqrt t))
3.4b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
32×	`*-un-lft-identity` `sqrt-prod`
16×	`difference-of-squares`
12×	`distribute-lft-out--` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out`

Counts

4 → 76

Calls

4 calls:

7.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
8.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
7.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
8.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series40.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
9.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
9.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
12.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify64.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	692	864
1	2941	824
2	5003	824

prune244.0ms

Filtered

60 candidates to 88 candidates (-46.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	81	7	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	7	89

Merged error: 4.1b

Counts

89 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

1.7b	(+ t (- 1.0 t))
2.5b	(- (sqrt (+ z 1.0)) (sqrt z))
2.8b	(- (sqrt (+ y 1.0)) (sqrt y))
3.4b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
24×	`sqrt-prod`
15×	`add-log-exp`
12×	`difference-of-squares`
10×	`distribute-lft-out--`
5×	`distribute-lft-out`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `diff-log` `add-cbrt-cube`
3×	`flip3--` `flip--`
2×	`associate-+r+` `sum-log`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip-+`

Counts

4 → 74

Calls

4 calls:

5.0ms	(+ t (- 1.0 t))
7.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
10.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
8.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series29.0ms

Counts

4 → 12

Calls

4 calls:

1.0ms	(+ t (- 1.0 t))
9.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
9.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
9.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify55.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	601	708
1	2432	673
2	5001	673

prune256.0ms

Filtered

59 candidates to 86 candidates (-45.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	81	5	86
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	82	11	93

Merged error: 3.0b

Counts

93 → 11

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
2.5b	(- (sqrt (+ z 1.0)) (sqrt z))
2.8b	(- (sqrt (+ y 1.0)) (sqrt y))
3.4b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
40×	`sqrt-prod`
39×	`add-sqr-sqrt`
19×	`distribute-lft-out`
18×	`times-frac`
15×	`add-cube-cbrt`
12×	`difference-of-squares`
10×	`add-log-exp`
9×	`distribute-lft-out--`
6×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
4×	`pow1`
3×	`sub-neg` `flip3--` `diff-log` `flip--` `associate-/l*`
2×	`associate-/r/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 98

Calls

4 calls:

9.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
7.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
9.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
8.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series38.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
9.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
9.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
9.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify76.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	814	1082
1	3594	1022
2	5001	1005

prune326.0ms

Filtered

72 candidates to 110 candidates (-52.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	104	6	110
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	106	15	121

Merged error: 3.0b

Counts

121 → 15

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
2.5b	(- (sqrt (+ z 1.0)) (sqrt z))
2.7b	(+ x (- 1.0 x))
2.8b	(- (sqrt (+ y 1.0)) (sqrt y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
32×	`sqrt-prod`
31×	`add-sqr-sqrt`
20×	`distribute-lft-out`
18×	`times-frac`
15×	`add-cube-cbrt`
13×	`add-log-exp`
8×	`difference-of-squares`
7×	`distribute-lft-out--`
6×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
4×	`pow1`
3×	`sub-neg` `diff-log` `associate-/l*`
2×	`associate-+r+` `flip3--` `flip3-+` `sum-log` `associate-/r/` `flip--` `flip-+`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 96

Calls

4 calls:

9.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
7.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
5.0ms	(+ x (- 1.0 x))
8.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

series29.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
9.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
1.0ms	(+ x (- 1.0 x))
11.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

simplify66.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	724	926
1	3074	871
2	5002	854

prune254.0ms

Filtered

70 candidates to 108 candidates (-54.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	104	4	108
Fresh	5	9	14
Picked	1	0	1
Done	0	0	0
Total	110	13	123

Merged error: 2.3b

Counts

123 → 13

regimes1.6s

Accuracy

0% (0.7b remaining)

Error of 2.8b against oracle of 2.1b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	21
1	35	21

end0.0ms

sample4.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 88.876343%

Guaranteed chance to sample good point: 56.186557%

Results

2.1s	5206×	body	640	valid
617.0ms	6128×	body	80	nan
465.0ms	1564×	body	320	valid
91.0ms	471×	body	160	valid
71.0ms	140×	body	1280	valid
63.0ms	619×	body	80	valid

Details

sample909.0ms

simplify26.0ms

prune5.0ms

localize23.0ms

rewrite33.0ms

series40.0ms

simplify64.0ms

prune244.0ms

localize25.0ms

rewrite33.0ms

series29.0ms

simplify55.0ms

prune256.0ms

localize24.0ms

rewrite38.0ms

series38.0ms

simplify76.0ms

prune326.0ms

localize27.0ms

rewrite32.0ms

series29.0ms

simplify66.0ms

prune254.0ms

regimes1.6s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.5s

Profiling