Details

analyze13.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0.1%	14

sample20.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify696.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5496	6

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: 35.9b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2.0 (pow x 2.0))
34.6b	(sqrt (* 2.0 (pow x 2.0)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
7×	`add-exp-log` `associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube`
3×	`pow1` `associate-l` `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	(* 2.0 (pow x 2.0))
5.0ms	(sqrt (* 2.0 (pow x 2.0)))

series158.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(* 2.0 (pow x 2.0))
92.0ms	(sqrt (* 2.0 (pow x 2.0)))

simplify67.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4886	308
1	4886	308

prune105.0ms

Filtered

31 candidates to 41 candidates (-32.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	34	7	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	8	42

Merged error: 17.6b

Counts

42 → 8

localize6.0ms

Local error

Found 1 expressions with local error:

0.4b	(* (sqrt 2.0) (* 1 (pow x 1.0)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log`
13×	`prod-exp`
6×	`associate-l` `add-cbrt-cube`
3×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `1-exp` `sqrt-prod` `cbrt-unprod`
2×	`pow-to-exp` `pow-exp`
1×	`associate-r` `pow-prod-down` `*-commutative` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

7.0ms

(* (sqrt 2.0) (* 1 (pow x 1.0)))

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

(* (sqrt 2.0) (* 1 (pow x 1.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4880	206
1	4880	206

prune61.0ms

Filtered

16 candidates to 28 candidates (-75.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	25	3	28
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	29	7	36

Merged error: 17.5b

Counts

36 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (pow x 1.0) (cbrt (sqrt 2.0)))
0.3b	(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (pow x 1.0) (cbrt (sqrt 2.0))))

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:

8.0ms	(* (pow x 1.0) (cbrt (sqrt 2.0)))
12.0ms	(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (pow x 1.0) (cbrt (sqrt 2.0))))

series159.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(* (pow x 1.0) (cbrt (sqrt 2.0)))
70.0ms	(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (pow x 1.0) (cbrt (sqrt 2.0))))

simplify59.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4910	623
1	4910	623

prune166.0ms

Filtered

40 candidates to 67 candidates (-67.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	64	10	74

Merged error: 17.5b

Counts

74 → 10

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (pow x 1.0) (sqrt (sqrt 2.0)))
0.3b	(* (sqrt (sqrt 2.0)) (* (pow x 1.0) (sqrt (sqrt 2.0))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 62

Calls

2 calls:

10.0ms	(* (pow x 1.0) (sqrt (sqrt 2.0)))
10.0ms	(* (sqrt (sqrt 2.0)) (* (pow x 1.0) (sqrt (sqrt 2.0))))

series138.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(* (pow x 1.0) (sqrt (sqrt 2.0)))
67.0ms	(* (sqrt (sqrt 2.0)) (* (pow x 1.0) (sqrt (sqrt 2.0))))

simplify69.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4863	655
1	4863	655

prune120.0ms

Filtered

42 candidates to 68 candidates (-61.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	3	4	7
Picked	0	1	1
Done	0	2	2
Total	67	11	78

Merged error: 17.5b

Counts

78 → 11

regimes422.0ms

Accuracy

98.7% (0.2b remaining)

Error of 15.2b against oracle of 15.0b and baseline of 31.9b

bsearch15.0ms

Steps

Iters	Range		Point
8	-1.7773423662150508e-306	2.6210974234504635e-307	1.91106969199616e-310

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	25
1	18	25

end0.0ms

sample410.0ms

Algorithm

intervals

Results

305.0ms

8000×

body

valid

Details

analyze13.0ms

sample20.0ms

simplify696.0ms

prune5.0ms

localize7.0ms

rewrite13.0ms

series158.0ms

simplify67.0ms

prune105.0ms

localize6.0ms

rewrite8.0ms

series70.0ms

simplify51.0ms

prune61.0ms

localize8.0ms

rewrite22.0ms

series159.0ms

simplify59.0ms

prune166.0ms

localize7.0ms

rewrite23.0ms

series138.0ms

simplify69.0ms

prune120.0ms

regimes422.0ms

bsearch15.0ms

simplify2.0ms

end0.0ms

sample410.0ms

Profiling