Details

analyze721.0ms

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

sample56.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
12.0ms	210×	body	80	invalid
9.0ms	154×	body	80	nan

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5070	17

prune12.0ms

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: 0.3b

Counts

2 → 1

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t))
0.2b	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log`
11×	`add-sqr-sqrt`
10×	`prod-exp`
9×	`add-cbrt-cube`
8×	`associate-r`
7×	`associate-l`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `unpow-prod-down` `cbrt-unprod`
3×	`unswap-sqr`
2×	`pow-to-exp` `associate-l/` `pow-exp` `-commutative` `add-log-exp` `sqr-pow`
1×	`flip3--` `pow-prod-down` `sqrt-prod` `flip--`

Counts

2 → 47

Calls

2 calls:

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

series67.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t))
45.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t)))

simplify40.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5618	867

prune154.0ms

Filtered

38 candidates to 53 candidates (-39.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	43	10	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	10	54

Merged error: 0.1b

Counts

54 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp (/ t 2.0)))
0.0b	(sqrt (exp (/ t 2.0)))
0.0b	(* (sqrt (* z 2.0)) (pow (sqrt (exp (/ t 2.0))) t))
0.2b	(* (- (* x 0.5) y) (* (* (sqrt (* z 2.0)) (pow (sqrt (exp (/ t 2.0))) t)) (pow (sqrt (exp (/ t 2.0))) t)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
37×	`prod-exp`
34×	`add-sqr-sqrt`
28×	`sqrt-pow1`
26×	`exp-prod`
25×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
15×	`add-cbrt-cube`
11×	`associate-r` `sqrt-prod`
8×	`pow1` `pow-to-exp` `unpow-prod-down` `pow-exp`
7×	`associate-l` `cbrt-unprod`
4×	`add-log-exp` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2` `associate-l/` `-commutative` `div-inv` `sqr-pow`
1×	`flip3--` `pow-prod-down` `flip--`

Counts

4 → 113

Calls

4 calls:

4.0ms	(sqrt (exp (/ t 2.0)))
4.0ms	(sqrt (exp (/ t 2.0)))
9.0ms	(* (sqrt (* z 2.0)) (pow (sqrt (exp (/ t 2.0))) t))
17.0ms	(* (- (* x 0.5) y) (* (* (sqrt (* z 2.0)) (pow (sqrt (exp (/ t 2.0))) t)) (pow (sqrt (exp (/ t 2.0))) t)))

series96.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (exp (/ t 2.0)))
3.0ms	(sqrt (exp (/ t 2.0)))
23.0ms	(* (sqrt (* z 2.0)) (pow (sqrt (exp (/ t 2.0))) t))
68.0ms	(* (- (* x 0.5) y) (* (* (sqrt (* z 2.0)) (pow (sqrt (exp (/ t 2.0))) t)) (pow (sqrt (exp (/ t 2.0))) t)))

simplify47.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	6241	1612

prune344.0ms

Filtered

91 candidates to 125 candidates (-37.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	124	11	135

Merged error: 0.0b

Counts

135 → 11

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (pow (exp (/ t 2.0)) t) (sqrt 2.0))
0.2b	(* (- (* x 0.5) y) (* (sqrt z) (* (pow (exp (/ t 2.0)) t) (sqrt 2.0))))
0.5b	(* (sqrt z) (* (pow (exp (/ t 2.0)) t) (sqrt 2.0)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
22×	`prod-exp`
20×	`add-sqr-sqrt`
19×	`add-cbrt-cube`
16×	`associate-l`
10×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `cbrt-unprod`
9×	`sqrt-prod`
8×	`associate-r`
6×	`unswap-sqr`
5×	`unpow-prod-down`
4×	`pow-prod-down`
3×	`pow-to-exp` `pow-exp` `*-commutative` `add-log-exp` `sqr-pow`
2×	`associate-*l/`
1×	`flip3--` `flip--`

Counts

3 → 77

Calls

3 calls:

7.0ms	(* (pow (exp (/ t 2.0)) t) (sqrt 2.0))
12.0ms	(* (- (* x 0.5) y) (* (sqrt z) (* (pow (exp (/ t 2.0)) t) (sqrt 2.0))))
9.0ms	(* (sqrt z) (* (pow (exp (/ t 2.0)) t) (sqrt 2.0)))

series87.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* (pow (exp (/ t 2.0)) t) (sqrt 2.0))
58.0ms	(* (- (* x 0.5) y) (* (sqrt z) (* (pow (exp (/ t 2.0)) t) (sqrt 2.0))))
23.0ms	(* (sqrt z) (* (pow (exp (/ t 2.0)) t) (sqrt 2.0)))

simplify32.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5060	1321

prune181.0ms

Filtered

56 candidates to 86 candidates (-53.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	4	5	9
Picked	1	0	1
Done	0	1	1
Total	88	9	97

Merged error: 0.0b

Counts

97 → 9

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (pow (exp (/ t 2.0)) t) (sqrt 2.0))
0.2b	(* (sqrt z) (- (* x 0.5) y))
0.4b	(* (* (sqrt z) (- (* x 0.5) y)) (* (pow (exp (/ t 2.0)) t) (sqrt 2.0)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
24×	`add-sqr-sqrt`
22×	`prod-exp`
19×	`add-cbrt-cube`
14×	`associate-l`
10×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `sqrt-prod` `cbrt-unprod`
8×	`unswap-sqr`
5×	`unpow-prod-down`
4×	`associate-*r/` `pow-prod-down`
3×	`pow-to-exp` `pow-exp` `*-commutative` `add-log-exp` `sqr-pow`
2×	`sub-neg` `flip3--` `associate-*l/` `flip--`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

3 → 83

Calls

3 calls:

7.0ms	(* (pow (exp (/ t 2.0)) t) (sqrt 2.0))
7.0ms	(* (sqrt z) (- (* x 0.5) y))
12.0ms	(* (* (sqrt z) (- (* x 0.5) y)) (* (pow (exp (/ t 2.0)) t) (sqrt 2.0)))

series81.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* (pow (exp (/ t 2.0)) t) (sqrt 2.0))
16.0ms	(* (sqrt z) (- (* x 0.5) y))
58.0ms	(* (* (sqrt z) (- (* x 0.5) y)) (* (pow (exp (/ t 2.0)) t) (sqrt 2.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5551	1304

prune138.0ms

Filtered

58 candidates to 92 candidates (-58.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	89	3	92
Fresh	4	3	7
Picked	0	1	1
Done	0	1	1
Total	93	8	101

Merged error: 0.0b

Counts

101 → 8

regimes702.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	26
1	22	26

end0.0ms

analyze871.0ms

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

sample1.6s

Algorithm

intervals

Results

459.0ms	8000×	body	80	valid
344.0ms	6122×	body	80	invalid
267.0ms	4677×	body	80	nan

Details

analyze721.0ms

sample56.0ms

simplify44.0ms

prune12.0ms

localize13.0ms

rewrite21.0ms

series67.0ms

simplify40.0ms

prune154.0ms

localize15.0ms

rewrite38.0ms

series96.0ms

simplify47.0ms

prune344.0ms

localize14.0ms

rewrite30.0ms

series87.0ms

simplify32.0ms

prune181.0ms

localize17.0ms

rewrite28.0ms

series81.0ms

simplify46.0ms

prune138.0ms

regimes702.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze871.0ms

sample1.6s

Profiling