Details

sample28.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify711.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4811	6
1	4811	6

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 33.9b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (pow x 2.0) 2)
32.6b	(sqrt (* (pow x 2.0) 2))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
7×	`add-exp-log` `associate-l`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube`
3×	`pow1` `associate-r` `prod-exp` `unswap-sqr`
2×	`add-log-exp` `sqr-pow`
1×	`pow-to-exp` `sqrt-pow1` `pow1/2` `pow-exp` `sqrt-prod` `*-commutative` `cbrt-unprod`

Counts

2 → 35

Calls

2 calls:

5.0ms	(* (pow x 2.0) 2)
5.0ms	(sqrt (* (pow x 2.0) 2))

series147.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(* (pow x 2.0) 2)
86.0ms	(sqrt (* (pow x 2.0) 2))

simplify55.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4905	307
1	4905	307

prune96.0ms

Filtered

32 candidates to 41 candidates (-28.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	33	8	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	9	42

Merged error: 17.3b

Counts

42 → 9

localize5.0ms

Local error

Found 1 expressions with local error:

0.5b	(* (sqrt 2) (pow x 1.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
7×	`associate-r`
6×	`add-exp-log` `associate-l` `sqrt-prod` `unswap-sqr`
5×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
3×	`prod-exp` `add-cbrt-cube` `sqr-pow`
1×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

6.0ms

(* (sqrt 2) (pow x 1.0))

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(* (sqrt 2) (pow x 1.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4998	305
1	4998	305

prune73.0ms

Filtered

20 candidates to 34 candidates (-70.0%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	29	5	34
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	32	11	43

Merged error: 17.2b

Counts

43 → 11

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (pow x 1.0) (cbrt (sqrt 2)))
0.3b	(* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (pow x 1.0) (cbrt (sqrt 2))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
22×	`add-sqr-sqrt`
21×	`prod-exp`
12×	`cbrt-prod`
10×	`associate-r`
9×	`add-cbrt-cube` `cbrt-unprod` `unswap-sqr`
8×	`associate-l`
7×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `sqrt-prod`
4×	`sqr-pow`
3×	`pow-to-exp` `pow-prod-down` `pow-exp`
2×	`*-commutative` `add-log-exp`

Counts

2 → 61

Calls

2 calls:

7.0ms	(* (pow x 1.0) (cbrt (sqrt 2)))
13.0ms	(* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (pow x 1.0) (cbrt (sqrt 2))))

series142.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(* (pow x 1.0) (cbrt (sqrt 2)))
61.0ms	(* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (pow x 1.0) (cbrt (sqrt 2))))

simplify48.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4874	629
1	4874	629

prune156.0ms

Filtered

39 candidates to 67 candidates (-71.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	62	5	67
Fresh	2	6	8
Picked	1	0	1
Done	1	1	2
Total	66	12	78

Merged error: 17.2b

Counts

78 → 12

localize13.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (pow (sqrt 2) 2/3) (pow x 1.0))
0.3b	(* (* (pow (sqrt 2) 2/3) (pow x 1.0)) (cbrt (sqrt 2)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-exp-log`
28×	`prod-exp`
27×	`add-sqr-sqrt`
19×	`unpow-prod-down`
16×	`associate-r`
12×	`pow-to-exp` `pow-exp` `unswap-sqr`
11×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-prod` `sqr-pow`
7×	`add-cbrt-cube`
6×	`cbrt-prod`
4×	`pow1` `cbrt-unprod`
2×	`*-commutative` `add-log-exp`
1×	`pow-prod-down`

Counts

2 → 78

Calls

2 calls:

7.0ms	(* (pow (sqrt 2) 2/3) (pow x 1.0))
9.0ms	(* (* (pow (sqrt 2) 2/3) (pow x 1.0)) (cbrt (sqrt 2)))

series149.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(* (pow (sqrt 2) 2/3) (pow x 1.0))
63.0ms	(* (* (pow (sqrt 2) 2/3) (pow x 1.0)) (cbrt (sqrt 2)))

simplify66.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4889	858
1	4889	858

prune124.0ms

Filtered

48 candidates to 84 candidates (-75.0%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	83	13	96

Merged error: 17.2b

Counts

96 → 13

regimes199.0ms

Accuracy

98.6% (0.2b remaining)

Error of 15.6b against oracle of 15.4b and baseline of 31.6b

bsearch18.0ms

Steps

Iters	Range		Point
9	-2.1086826833733962e-305	7.940780469190808e-305	2.5365652372159e-311

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	22
1	20	22

end0.0ms

sample569.0ms

Algorithm

intervals

Results

422.0ms

8000×

body

valid

Details

sample28.0ms

simplify711.0ms

prune10.0ms

localize7.0ms

rewrite12.0ms

series147.0ms

simplify55.0ms

prune96.0ms

localize5.0ms

rewrite7.0ms

series63.0ms

simplify51.0ms

prune73.0ms

localize8.0ms

rewrite22.0ms

series142.0ms

simplify48.0ms

prune156.0ms

localize13.0ms

rewrite19.0ms

series149.0ms

simplify66.0ms

prune124.0ms

regimes199.0ms

bsearch18.0ms

simplify1.0ms

end0.0ms

sample569.0ms

Profiling