Details

analyze734.0ms

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

sample59.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
12.0ms	206×	body	80	invalid
10.0ms	178×	body	80	nan

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4970	17
1	4970	17

prune14.0ms

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

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow-unpow`
10×	`prod-exp` `add-cbrt-cube`
9×	`times-frac`
8×	`associate-r`
7×	`unpow-prod-down` `associate-l`
6×	`pow1`
4×	`pow-pow` `cbrt-unprod`
3×	`pow-to-exp` `exp-prod` `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:

4.0ms	(pow (exp t) (/ t 2.0))
7.0ms	(* (sqrt (* z 2.0)) (pow (exp t) (/ t 2.0)))
11.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp t) (/ t 2.0))))

series74.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(pow (exp t) (/ t 2.0))
21.0ms	(* (sqrt (* z 2.0)) (pow (exp t) (/ t 2.0)))
48.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp t) (/ t 2.0))))

simplify32.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4949	1139
1	4949	1139

prune219.0ms

Filtered

64 candidates to 86 candidates (-34.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	76	10	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	10	87

Merged error: 0.0b

Counts

87 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

2.0ms	(sqrt (exp t))
2.0ms	(sqrt (exp t))
11.0ms	(* (sqrt (* z 2.0)) (pow (sqrt (exp t)) (/ t 2.0)))
16.0ms	(* (- (* x 0.5) y) (* (* (sqrt (* z 2.0)) (pow (sqrt (exp t)) (/ t 2.0))) (pow (sqrt (exp t)) (/ t 2.0))))

series98.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (exp t))
3.0ms	(sqrt (exp t))
25.0ms	(* (sqrt (* z 2.0)) (pow (sqrt (exp t)) (/ t 2.0)))
67.0ms	(* (- (* x 0.5) y) (* (* (sqrt (* z 2.0)) (pow (sqrt (exp t)) (/ t 2.0))) (pow (sqrt (exp t)) (/ t 2.0))))

simplify32.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5007	1439

prune224.0ms

Filtered

69 candidates to 105 candidates (-52.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	105	10	115

Merged error: 0.0b

Counts

115 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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

Counts

4 → 107

Calls

4 calls:

4.0ms	(pow (exp t) (/ t 2.0))
6.0ms	(* (pow (exp t) (/ t 2.0)) (sqrt 2.0))
12.0ms	(* (- (* x 0.5) y) (* (sqrt z) (* (pow (exp t) (/ t 2.0)) (sqrt 2.0))))
8.0ms	(* (sqrt z) (* (pow (exp t) (/ t 2.0)) (sqrt 2.0)))

series83.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(pow (exp t) (/ t 2.0))
7.0ms	(* (pow (exp t) (/ t 2.0)) (sqrt 2.0))
47.0ms	(* (- (* x 0.5) y) (* (sqrt z) (* (pow (exp t) (/ t 2.0)) (sqrt 2.0))))
25.0ms	(* (sqrt z) (* (pow (exp t) (/ t 2.0)) (sqrt 2.0)))

simplify36.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4953	1601
1	4953	1601

prune240.0ms

Filtered

82 candidates to 119 candidates (-45.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	113	6	119
Fresh	6	2	8
Picked	1	0	1
Done	0	1	1
Total	120	9	129

Merged error: 0.0b

Counts

129 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

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`
14×	`associate-l`
13×	`pow-unpow`
12×	`pow1`
10×	`associate-r` `cbrt-unprod`
9×	`times-frac` `sqrt-prod`
8×	`unpow-prod-down`
6×	`sub-neg` `associate-*r/` `unswap-sqr`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow-to-exp` `pow-pow` `pow-prod-down` `pow-exp` `add-log-exp` `sqr-pow`
3×	`exp-prod` `*-commutative`
2×	`flip3--` `flip--`
1×	`div-inv`

Counts

4 → 115

Calls

4 calls:

4.0ms	(pow (exp t) (/ t 2.0))
8.0ms	(* (pow (exp t) (/ t 2.0)) (sqrt 2.0))
12.0ms	(* (sqrt z) (* (* (pow (exp t) (/ t 2.0)) (sqrt 2.0)) (- (* x 0.5) y)))
10.0ms	(* (* (pow (exp t) (/ t 2.0)) (sqrt 2.0)) (- (* x 0.5) y))

series114.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(pow (exp t) (/ t 2.0))
7.0ms	(* (pow (exp t) (/ t 2.0)) (sqrt 2.0))
72.0ms	(* (sqrt z) (* (* (pow (exp t) (/ t 2.0)) (sqrt 2.0)) (- (* x 0.5) y)))
31.0ms	(* (* (pow (exp t) (/ t 2.0)) (sqrt 2.0)) (- (* x 0.5) y))

simplify49.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5008	1882

prune226.0ms

Filtered

86 candidates to 127 candidates (-47.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	125	2	127
Fresh	4	3	7
Picked	0	1	1
Done	0	1	1
Total	129	7	136

Merged error: 0.0b

Counts

136 → 7

regimes646.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	79	26
1	79	26

end0.0ms

sample1.6s

Algorithm

intervals

Results

469.0ms	8000×	body	80	valid
362.0ms	6312×	body	80	invalid
259.0ms	4598×	body	80	nan

Details

analyze734.0ms

sample59.0ms

simplify77.0ms

prune14.0ms

localize14.0ms

rewrite25.0ms

series74.0ms

simplify32.0ms

prune219.0ms

localize15.0ms

rewrite33.0ms

series98.0ms

simplify32.0ms

prune224.0ms

localize14.0ms

rewrite34.0ms

series83.0ms

simplify36.0ms

prune240.0ms

localize16.0ms

rewrite38.0ms

series114.0ms

simplify49.0ms

prune226.0ms

regimes646.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.6s

Profiling