Details

sample1.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 88.876343%

Guaranteed chance to sample good point: 56.186557%

Results

66.0ms	162×	body	640	valid
19.0ms	190×	body	80	nan
19.0ms	57×	body	320	valid
2.0ms	24×	body	80	valid
2.0ms	10×	body	160	valid
1.0ms	3×	body	1280	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

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: 5.4b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

2.6b	(- (sqrt (+ t 1.0)) (sqrt t))
2.7b	(- (sqrt (+ y 1.0)) (sqrt y))
2.9b	(- (sqrt (+ x 1.0)) (sqrt x))
3.9b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite35.0ms

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:

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

series39.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
9.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
10.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
10.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify67.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	692	864
1	2941	824
2	5001	824

prune266.0ms

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: 3.9b

Counts

89 → 8

localize26.0ms

Local error

Found 4 expressions with local error:

1.7b	(+ x (- 1.0 x))
2.6b	(- (sqrt (+ t 1.0)) (sqrt t))
2.7b	(- (sqrt (+ y 1.0)) (sqrt y))
3.9b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite32.0ms

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:

6.0ms	(+ x (- 1.0 x))
8.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
8.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
8.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

series32.0ms

Counts

4 → 12

Calls

4 calls:

1.0ms	(+ x (- 1.0 x))
10.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
12.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
10.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify57.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	602	708
1	2429	673
2	5002	673

prune261.0ms

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	1	6	7
Picked	1	0	1
Done	0	0	0
Total	83	11	94

Merged error: 2.9b

Counts

94 → 11

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
2.6b	(- (sqrt (+ t 1.0)) (sqrt t))
2.7b	(- (sqrt (+ y 1.0)) (sqrt y))
3.9b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite39.0ms

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

series38.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
10.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
10.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
10.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify79.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	816	1082
1	3586	1020
2	5002	1003

prune516.0ms

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	3	7	10
Picked	1	0	1
Done	0	0	0
Total	109	12	121

Merged error: 2.9b

Counts

121 → 12

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
1.9b	(+ y (- 1.0 y))
2.6b	(- (sqrt (+ t 1.0)) (sqrt t))
3.9b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite35.0ms

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:

10.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
6.0ms	(+ y (- 1.0 y))
8.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
8.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

series29.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
1.0ms	(+ y (- 1.0 y))
10.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
10.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify74.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	728	926
1	3069	869
2	5001	852

prune236.0ms

Filtered

70 candidates to 108 candidates (-54.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	108	12	120

Merged error: 2.0b

Counts

120 → 12

regimes1.4s

Accuracy

0% (0.9b remaining)

Error of 2.9b against oracle of 2.0b and baseline of 2.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	21
1	35	21

end0.0ms

sample5.4s

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	5226×	body	640	valid
642.0ms	6266×	body	80	nan
478.0ms	1610×	body	320	valid
88.0ms	444×	body	160	valid
71.0ms	129×	body	1280	valid
61.0ms	591×	body	80	valid

Details

sample1.6s

simplify25.0ms

prune5.0ms

localize22.0ms

rewrite35.0ms

series39.0ms

simplify67.0ms

prune266.0ms

localize26.0ms

rewrite32.0ms

series32.0ms

simplify57.0ms

prune261.0ms

localize24.0ms

rewrite39.0ms

series38.0ms

simplify79.0ms

prune516.0ms

localize31.0ms

rewrite35.0ms

series29.0ms

simplify74.0ms

prune236.0ms

regimes1.4s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample5.4s

Profiling