Details

analyze708.0ms

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	213×	body	80	invalid
9.0ms	138×	body	80	nan

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5189	17

prune10.0ms

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: 0.2b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

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:

8.0ms	(* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t))
5.0ms	(pow (exp (/ t 2.0)) t)
13.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t)))

series70.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t))
4.0ms	(pow (exp (/ t 2.0)) t)
45.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4964	1129
1	4964	1129

prune219.0ms

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	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	10	87

Merged error: 0.1b

Counts

87 → 10

localize15.0ms

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))))
0.5b	(* (sqrt z) (* (pow (exp (/ t 2.0)) t) (sqrt 2.0)))

rewrite37.0ms

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:

5.0ms	(pow (exp (/ t 2.0)) t)
7.0ms	(* (pow (exp (/ t 2.0)) t) (sqrt 2.0))
13.0ms	(* (- (* 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)))

series85.0ms

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))
51.0ms	(* (- (* 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)))

simplify68.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4971	1585
1	4971	1585

prune254.0ms

Filtered

83 candidates to 119 candidates (-43.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	114	5	119
Fresh	4	4	8
Picked	1	0	1
Done	0	1	1
Total	119	10	129

Merged error: 0.0b

Counts

129 → 10

localize15.0ms

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)))

rewrite34.0ms

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

series98.0ms

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))
16.0ms	(* (sqrt z) (- (* x 0.5) y))
71.0ms	(* (* (sqrt z) (- (* x 0.5) y)) (* (pow (exp (/ t 2.0)) t) (sqrt 2.0)))

simplify70.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4968	1564
1	4968	1564

prune240.0ms

Filtered

85 candidates to 125 candidates (-47.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	123	2	125
Fresh	3	5	8
Picked	0	1	1
Done	0	1	1
Total	126	9	135

Merged error: 0.0b

Counts

135 → 9

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)

series21.0ms

Counts

4 → 6

Calls

4 calls:

21.0ms	(cbrt t)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)

simplify39.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5125	260

prune117.0ms

Filtered

38 candidates to 50 candidates (-31.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	50	9	59

Merged error: 0.0b

Counts

59 → 9

regimes721.0ms

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	29	17
1	29	17

end0.0ms

sample1.5s

Algorithm

intervals

Results

451.0ms	8000×	body	80	valid
338.0ms	6103×	body	80	invalid
249.0ms	4559×	body	80	nan

Details

analyze708.0ms

sample55.0ms

simplify68.0ms

prune10.0ms

localize13.0ms

rewrite29.0ms

series70.0ms

simplify52.0ms

prune219.0ms

localize15.0ms

rewrite37.0ms

series85.0ms

simplify68.0ms

prune254.0ms

localize15.0ms

rewrite34.0ms

series98.0ms

simplify70.0ms

prune240.0ms

localize25.0ms

rewrite5.0ms

series21.0ms

simplify39.0ms

prune117.0ms

regimes721.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

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