Details

analyze697.0ms

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

sample57.0ms

Algorithm

intervals

Results

15.0ms	201×	body	80	invalid
14.0ms	256×	body	80	valid
8.0ms	148×	body	80	nan

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5189	17

prune13.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

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)))

rewrite28.0ms

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:

6.0ms	(pow (exp (/ t 2.0)) t)
9.0ms	(* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t))
12.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t)))

series75.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(pow (exp (/ t 2.0)) t)
22.0ms	(* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t))
49.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t)))

simplify50.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4964	1129
1	4964	1129

prune210.0ms

Filtered

65 candidates to 86 candidates (-32.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	77	9	86
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	78	10	88

Merged error: 0.0b

Counts

88 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (/ t 2.0)) t)
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))))
0.4b	(* (sqrt z) (* (pow (exp (/ t 2.0)) t) (sqrt 2.0)))

rewrite41.0ms

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:

6.0ms	(pow (exp (/ t 2.0)) t)
8.0ms	(* (pow (exp (/ t 2.0)) t) (sqrt 2.0))
15.0ms	(* (- (* 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)))

series90.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(pow (exp (/ t 2.0)) t)
7.0ms	(* (pow (exp (/ t 2.0)) t) (sqrt 2.0))
54.0ms	(* (- (* 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)))

simplify72.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4971	1585
1	4971	1585

prune249.0ms

Filtered

83 candidates to 119 candidates (-43.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	115	4	119
Fresh	3	5	8
Picked	1	0	1
Done	1	0	1
Total	120	9	129

Merged error: 0.0b

Counts

129 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 113

Calls

4 calls:

5.0ms	(pow (exp (/ t 2.0)) t)
7.0ms	(* (pow (exp (/ t 2.0)) t) (sqrt 2.0))
7.0ms	(* (sqrt z) (- (* x 0.5) y))
13.0ms	(* (* (sqrt z) (- (* x 0.5) y)) (* (pow (exp (/ t 2.0)) t) (sqrt 2.0)))

series91.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(pow (exp (/ t 2.0)) t)
7.0ms	(* (pow (exp (/ t 2.0)) t) (sqrt 2.0))
17.0ms	(* (sqrt z) (- (* x 0.5) y))
62.0ms	(* (* (sqrt z) (- (* x 0.5) y)) (* (pow (exp (/ t 2.0)) t) (sqrt 2.0)))

simplify71.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4968	1564
1	4968	1564

prune233.0ms

Filtered

85 candidates to 125 candidates (-47.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	123	2	125
Fresh	4	4	8
Picked	0	1	1
Done	0	0	0
Total	127	7	134

Merged error: 0.0b

Counts

134 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (/ t 2.0)) t)
0.2b	(* (- (* x 0.5) y) (* (sqrt z) (* (* (pow (exp (/ t 2.0)) t) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))
0.4b	(* (sqrt z) (* (* (pow (exp (/ t 2.0)) t) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
1.0b	(* (* (pow (exp (/ t 2.0)) t) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-exp-log`
37×	`prod-exp`
32×	`add-cbrt-cube`
21×	`pow1`
19×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `cbrt-unprod`
14×	`pow-pow`
13×	`exp-prod`
12×	`sqrt-prod`
11×	`associate-r`
10×	`associate-l` `pow-prod-down`
9×	`times-frac`
4×	`pow-to-exp` `pow-exp` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `*-commutative`
2×	`associate-*l/`
1×	`flip3--` `flip--` `div-inv` `sqr-pow`

Counts

4 → 107

Calls

4 calls:

5.0ms	(pow (exp (/ t 2.0)) t)
19.0ms	(* (- (* x 0.5) y) (* (sqrt z) (* (* (pow (exp (/ t 2.0)) t) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))
14.0ms	(* (sqrt z) (* (* (pow (exp (/ t 2.0)) t) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
12.0ms	(* (* (pow (exp (/ t 2.0)) t) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

series90.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(pow (exp (/ t 2.0)) t)
53.0ms	(* (- (* x 0.5) y) (* (sqrt z) (* (* (pow (exp (/ t 2.0)) t) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))
24.0ms	(* (sqrt z) (* (* (pow (exp (/ t 2.0)) t) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
8.0ms	(* (* (pow (exp (/ t 2.0)) t) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

simplify88.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4960	1585
1	4960	1585

prune211.0ms

Filtered

78 candidates to 119 candidates (-52.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	118	8	126

Merged error: 0b

Counts

126 → 8

regimes789.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	18
1	30	18

end0.0ms

sample1.5s

Algorithm

intervals

Results

443.0ms	8000×	body	80	valid
329.0ms	6010×	body	80	invalid
241.0ms	4489×	body	80	nan

Details

analyze697.0ms

sample57.0ms

simplify75.0ms

prune13.0ms

localize13.0ms

rewrite28.0ms

series75.0ms

simplify50.0ms

prune210.0ms

localize14.0ms

rewrite41.0ms

series90.0ms

simplify72.0ms

prune249.0ms

localize18.0ms

rewrite36.0ms

series91.0ms

simplify71.0ms

prune233.0ms

localize20.0ms

rewrite54.0ms

series90.0ms

simplify88.0ms

prune211.0ms

regimes789.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

Profiling