Details

analyze816.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	74.9%	25.1%	8
6.2%	68.6%	25.1%	9
7.8%	67.1%	25.1%	10
10.1%	64.7%	25.1%	11
14.8%	47.6%	37.6%	12
15.8%	36.8%	47.4%	13
16.6%	35.1%	48.3%	14

sample65.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
15.0ms	197×	body	80	invalid
10.0ms	161×	body	80	nan

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	9
1	41	9
2	88	9
3	165	9
4	287	9
5	625	9
6	2014	9
7	5002	9

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: 0.3b

Counts

2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.0b	(exp (/ (* t t) 2.0))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-sqr-sqrt` `add-cbrt-cube`
8×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
7×	`exp-prod` `associate-r`
6×	`associate-*l/`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`times-frac`
2×	`flip3--` `*-commutative` `flip--`
1×	`sqrt-prod` `div-inv` `rem-exp-log` `unswap-sqr`

Counts

3 → 56

Calls

3 calls:

15.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
3.0ms	(exp (/ (* t t) 2.0))
8.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series72.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
3.0ms	(exp (/ (* t t) 2.0))
17.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	335	525
1	1345	462
2	5001	462

prune182.0ms

Filtered

50 candidates to 65 candidates (-30.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	56	9	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	9	66

Merged error: 0.0b

Counts

66 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0))))
0.0b	(exp (/ (* t t) 2.0))
0.0b	(exp (/ (* t t) 2.0))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `exp-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-r`
6×	`times-frac` `associate-*l/` `add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `div-inv` `rem-exp-log`
1×	`unswap-sqr`

Counts

4 → 74

Calls

4 calls:

13.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0))))
2.0ms	(exp (/ (* t t) 2.0))
2.0ms	(exp (/ (* t t) 2.0))
8.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series68.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0))))
3.0ms	(exp (/ (* t t) 2.0))
5.0ms	(exp (/ (* t t) 2.0))
14.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	365	644
1	1463	578
2	5001	571

prune322.0ms

Filtered

66 candidates to 86 candidates (-30.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	86	9	95

Merged error: 0.0b

Counts

95 → 9

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
0.0b	(exp (/ (* t t) 2.0))
0.3b	(* (- (* x 0.5) y) (sqrt z))
0.4b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-cbrt-cube`
17×	`add-exp-log`
16×	`add-sqr-sqrt`
15×	`associate-r`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l/`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`exp-prod` `sqrt-prod`
5×	`associate-l` `add-log-exp`
3×	`flip3--` `times-frac` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`div-inv` `rem-exp-log`

Counts

4 → 85

Calls

4 calls:

18.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
3.0ms	(exp (/ (* t t) 2.0))
8.0ms	(* (- (* x 0.5) y) (sqrt z))
11.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series90.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
3.0ms	(exp (/ (* t t) 2.0))
13.0ms	(* (- (* x 0.5) y) (sqrt z))
19.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify68.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	428	794
1	1953	697
2	5001	693

prune202.0ms

Filtered

67 candidates to 97 candidates (-44.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	99	7	106

Merged error: 0.0b

Counts

106 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (* t t) 2.0))
0.3b	(* (- (* x 0.5) y) (sqrt z))
0.3b	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
0.4b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-r`
22×	`sqrt-prod`
20×	`pow1` `add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-*l/`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`exp-prod`
5×	`associate-l` `add-log-exp`
3×	`flip3--` `times-frac` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`div-inv` `rem-exp-log`

Counts

4 → 94

Calls

4 calls:

2.0ms	(exp (/ (* t t) 2.0))
7.0ms	(* (- (* x 0.5) y) (sqrt z))
14.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
11.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

series48.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(exp (/ (* t t) 2.0))
11.0ms	(* (- (* x 0.5) y) (sqrt z))
18.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
17.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

simplify63.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	451	849
1	2069	734
2	5001	714

prune190.0ms

Filtered

70 candidates to 106 candidates (-51.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	107	6	113

Merged error: 0b

Counts

113 → 6

regimes941.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	15
1	22	15

end0.0ms

analyze739.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	74.9%	25.1%	8
6.2%	68.6%	25.1%	9
7.8%	67.1%	25.1%	10
10.1%	64.7%	25.1%	11
14.8%	47.6%	37.6%	12
15.8%	36.8%	47.4%	13
16.6%	35.1%	48.3%	14

sample1.7s

Algorithm

intervals

Results

508.0ms	8000×	body	80	valid
387.0ms	6126×	body	80	invalid
284.0ms	4460×	body	80	nan

Details

analyze816.0ms

sample65.0ms

simplify81.0ms

prune5.0ms

localize14.0ms

rewrite27.0ms

series72.0ms

simplify49.0ms

prune182.0ms

localize15.0ms

rewrite27.0ms

series68.0ms

simplify46.0ms

prune322.0ms

localize27.0ms

rewrite43.0ms

series90.0ms

simplify68.0ms

prune202.0ms

localize15.0ms

rewrite37.0ms

series48.0ms

simplify63.0ms

prune190.0ms

regimes941.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze739.0ms

sample1.7s

Profiling