Details

analyze855.0ms

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

sample55.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
11.0ms	220×	body	80	invalid
10.0ms	188×	body	80	nan

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5189	17

prune17.0ms

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 3 expressions with local error:

0.0b	(pow (exp (/ t 2.0)) t)
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)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 77

Calls

3 calls:

5.0ms	(pow (exp (/ t 2.0)) t)
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)))

series79.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(pow (exp (/ t 2.0)) t)
26.0ms	(* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t))
47.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4964	1129
1	4964	1129

prune219.0ms

Filtered

65 candidates to 86 candidates (-32.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	75	11	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	11	87

Merged error: 0.1b

Counts

87 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (sqrt (exp (/ t 2.0))) t)
0.0b	(* (sqrt (* z 2.0)) (pow (sqrt (exp (/ t 2.0))) t))
0.0b	(* (* (sqrt (* z 2.0)) (pow (sqrt (exp (/ t 2.0))) t)) (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)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-exp-log`
58×	`prod-exp`
29×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
21×	`associate-r`
20×	`unpow-prod-down` `add-cbrt-cube`
16×	`pow-to-exp` `pow-pow` `pow-exp`
14×	`sqrt-pow1`
13×	`exp-prod`
11×	`sqrt-prod`
10×	`cbrt-unprod`
9×	`times-frac`
8×	`pow1` `associate-l`
4×	`add-log-exp` `unswap-sqr` `sqr-pow`
3×	`pow-unpow` `*-commutative`
2×	`associate-*l/`
1×	`flip3--` `pow1/2` `pow-prod-down` `sqrt-pow2` `flip--` `div-inv`

Counts

4 → 130

Calls

4 calls:

7.0ms	(pow (sqrt (exp (/ t 2.0))) t)
12.0ms	(* (sqrt (* z 2.0)) (pow (sqrt (exp (/ t 2.0))) t))
14.0ms	(* (* (sqrt (* z 2.0)) (pow (sqrt (exp (/ t 2.0))) t)) (pow (sqrt (exp (/ t 2.0))) t))
18.0ms	(* (- (* x 0.5) y) (* (* (sqrt (* z 2.0)) (pow (sqrt (exp (/ t 2.0))) t)) (pow (sqrt (exp (/ t 2.0))) t)))

series133.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(pow (sqrt (exp (/ t 2.0))) t)
25.0ms	(* (sqrt (* z 2.0)) (pow (sqrt (exp (/ t 2.0))) t))
32.0ms	(* (* (sqrt (* z 2.0)) (pow (sqrt (exp (/ t 2.0))) t)) (pow (sqrt (exp (/ t 2.0))) t))
71.0ms	(* (- (* x 0.5) y) (* (* (sqrt (* z 2.0)) (pow (sqrt (exp (/ t 2.0))) t)) (pow (sqrt (exp (/ t 2.0))) t)))

simplify51.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4986	2273
1	4986	2273

prune342.0ms

Filtered

89 candidates to 142 candidates (-59.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	140	2	142
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	143	10	153

Merged error: 0.1b

Counts

153 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
31×	`add-cube-cbrt`
28×	`sqrt-pow1`
26×	`exp-prod`
20×	`add-exp-log`
18×	`times-frac`
16×	`pow-pow`
14×	`unpow-prod-down`
12×	`pow-unpow` `associate-r`
11×	`sqrt-prod` `add-cbrt-cube`
10×	`prod-exp`
9×	`pow1`
7×	`associate-l`
5×	`unswap-sqr`
4×	`cbrt-unprod` `add-log-exp`
3×	`unpow-prod-up` `pow-to-exp` `distribute-rgt-out` `pow-exp` `distribute-lft-out` `sqr-pow`
2×	`pow1/2` `associate-l/` `-commutative` `div-inv`
1×	`rem-sqrt-square` `flip3--` `distribute-lft1-in` `count-2` `pow-prod-down` `distribute-rgt1-in` `sqrt-pow2` `flip--`

Counts

4 → 125

Calls

4 calls:

4.0ms	(sqrt (exp (/ t 2.0)))
9.0ms	(pow (sqrt (exp (/ t 2.0))) (+ t t))
10.0ms	(* (sqrt (* z 2.0)) (pow (sqrt (exp (/ t 2.0))) (+ t t)))
13.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (sqrt (exp (/ t 2.0))) (+ t t))))

series99.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (exp (/ t 2.0)))
5.0ms	(pow (sqrt (exp (/ t 2.0))) (+ t t))
26.0ms	(* (sqrt (* z 2.0)) (pow (sqrt (exp (/ t 2.0))) (+ t t)))
65.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (sqrt (exp (/ t 2.0))) (+ t t))))

simplify59.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4973	1795
1	4973	1795

prune371.0ms

Filtered

98 candidates to 137 candidates (-39.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	137	10	147

Merged error: 0.1b

Counts

147 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow (exp (/ t 2.0)) t) (sqrt 2.0))
0.0b	(pow (exp (/ t 2.0)) t)
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)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
30×	`add-sqr-sqrt`
22×	`prod-exp`
20×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
16×	`associate-l`
14×	`pow-pow`
13×	`exp-prod`
12×	`pow1`
10×	`cbrt-unprod`
9×	`times-frac` `sqrt-prod`
8×	`unpow-prod-down` `associate-r`
6×	`unswap-sqr`
4×	`pow-to-exp` `pow-prod-down` `pow-exp` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `*-commutative`
2×	`associate-*l/`
1×	`flip3--` `flip--` `div-inv`

Counts

4 → 107

Calls

4 calls:

7.0ms	(* (pow (exp (/ t 2.0)) t) (sqrt 2.0))
5.0ms	(pow (exp (/ t 2.0)) t)
14.0ms	(* (- (* 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)))

series89.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (pow (exp (/ t 2.0)) t) (sqrt 2.0))
4.0ms	(pow (exp (/ t 2.0)) t)
53.0ms	(* (- (* x 0.5) y) (* (sqrt z) (* (pow (exp (/ t 2.0)) t) (sqrt 2.0))))
24.0ms	(* (sqrt z) (* (pow (exp (/ t 2.0)) t) (sqrt 2.0)))

simplify70.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4971	1585
1	4971	1585

prune201.0ms

Filtered

83 candidates to 119 candidates (-43.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	115	4	119
Fresh	3	5	8
Picked	1	0	1
Done	0	1	1
Total	119	10	129

Merged error: 0.0b

Counts

129 → 10

regimes760.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	33	20
1	33	20

end0.0ms

sample1.5s

Algorithm

intervals

Results

448.0ms	8000×	body	80	valid
340.0ms	6114×	body	80	invalid
250.0ms	4527×	body	80	nan

Details

analyze855.0ms

sample55.0ms

simplify74.0ms

prune17.0ms

localize13.0ms

rewrite27.0ms

series79.0ms

simplify49.0ms

prune219.0ms

localize16.0ms

rewrite56.0ms

series133.0ms

simplify51.0ms

prune342.0ms

localize17.0ms

rewrite40.0ms

series99.0ms

simplify59.0ms

prune371.0ms

localize14.0ms

rewrite39.0ms

series89.0ms

simplify70.0ms

prune201.0ms

regimes760.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

Profiling