Details

sample669.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 65.788384%

Guaranteed chance to sample good point: 18.268649%

Results

115.0ms	1203×	body	80	nan
59.0ms	158×	body	640	valid
19.0ms	55×	body	320	valid
6.0ms	9×	body	1280	valid
3.0ms	15×	body	160	valid
2.0ms	19×	body	80	valid

simplify25.0ms

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

prune6.0ms

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: 5.5b

Counts

2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

1.3b	(- (sqrt (+ z 1.0)) (sqrt z))
3.0b	(- (sqrt (+ t 1.0)) (sqrt t))
3.0b	(- (sqrt (+ y 1.0)) (sqrt y))
4.2b	(- (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 (+ t 1.0)) (sqrt t))
8.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
8.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series39.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify62.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (14.0ms)

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

prune246.0ms

Filtered

60 candidates to 88 candidates (-46.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	80	8	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	8	89

Merged error: 4.8b

Counts

89 → 8

localize27.0ms

Local error

Found 4 expressions with local error:

1.3b	(- (sqrt (+ z 1.0)) (sqrt z))
2.4b	(+ y (- 1.0 y))
3.0b	(- (sqrt (+ t 1.0)) (sqrt t))
4.2b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite30.0ms

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:

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

series30.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify54.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	604	708
1	2432	673
2	5001	673

prune236.0ms

Filtered

59 candidates to 86 candidates (-45.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	85	9	94

Merged error: 3.8b

Counts

94 → 9

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
1.3b	(- (sqrt (+ z 1.0)) (sqrt z))
3.0b	(- (sqrt (+ t 1.0)) (sqrt t))
4.2b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite36.0ms

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

series42.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
9.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
9.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
9.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify83.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	813	1083
1	3571	1022
2	5003	1005

prune325.0ms

Filtered

72 candidates to 110 candidates (-52.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	105	5	110
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	107	12	119

Merged error: 3.8b

Counts

119 → 12

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
1.3b	(- (sqrt (+ z 1.0)) (sqrt z))
2.4b	(+ t (- 1.0 t))
4.2b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite34.0ms

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:

11.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
7.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
5.0ms	(+ t (- 1.0 t))
8.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series27.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify68.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	722	927
1	3053	871
2	5002	854

prune231.0ms

Filtered

70 candidates to 108 candidates (-54.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	110	10	120

Merged error: 2.7b

Counts

120 → 10

regimes1.4s

Accuracy

0% (0.9b remaining)

Error of 2.8b against oracle of 2.0b and baseline of 2.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	21
1	35	21

end0.0ms

sample8.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 65.788384%

Guaranteed chance to sample good point: 18.268649%

Results

3.4s	35914×	body	80	nan
2.0s	5307×	body	640	valid
433.0ms	1527×	body	320	valid
79.0ms	428×	body	160	valid
78.0ms	165×	body	1280	valid
54.0ms	573×	body	80	valid

Details

sample669.0ms

simplify25.0ms

prune6.0ms

localize25.0ms

rewrite33.0ms

series39.0ms

simplify62.0ms

prune246.0ms

localize27.0ms

rewrite30.0ms

series30.0ms

simplify54.0ms

prune236.0ms

localize26.0ms

rewrite36.0ms

series42.0ms

simplify83.0ms

prune325.0ms

localize26.0ms

rewrite34.0ms

series27.0ms

simplify68.0ms

prune231.0ms

regimes1.4s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample8.2s

Profiling