Details

sample116.0ms

Algorithm

intervals

Results

39.0ms	678×	body	80	nan
39.0ms	627×	body	80	valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	9
1	41	9
2	88	9
3	165	9
4	287	9
5	625	9
6	2014	9
7	5002	9

prune3.0ms

Filtered

1 candidates to 0 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 → 1

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

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

series293.0ms

Counts

3 → 9

Calls

3 calls:

169.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
18.0ms	(exp (/ (* t t) 2.0))
106.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	335	525
1	1345	462
2	5001	462

prune185.0ms

Filtered

65 candidates to 50 candidates (76.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	57	8	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	8	66

Merged error: 0.0b

Counts

66 → 8

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 77

Calls

3 calls:

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

series365.0ms

Counts

3 → 9

Calls

3 calls:

209.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
50.0ms	(pow (exp t) (/ t 2.0))
107.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	465	659
1	1969	601
2	5001	601

prune232.0ms

Filtered

86 candidates to 64 candidates (74.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	86	8	94

Merged error: 0.0b

Counts

94 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

13.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
5.0ms	(pow (exp t) (/ t 2.0))
7.0ms	(* (- (* x 0.5) y) (sqrt z))
10.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series485.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
53.0ms	(pow (exp t) (/ t 2.0))
61.0ms	(* (- (* x 0.5) y) (sqrt z))
143.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify78.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	564	942
1	2647	848
2	5002	848

prune329.0ms

Filtered

119 candidates to 81 candidates (68.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	116	3	119
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	118	9	127

Merged error: 0.0b

Counts

127 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

13.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (pow (exp t) (/ t 2.0)))
4.0ms	(pow (exp t) (/ t 2.0))
9.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
6.0ms	(* (sqrt z) (sqrt 2.0))

series489.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (pow (exp t) (/ t 2.0)))
44.0ms	(pow (exp t) (/ t 2.0))
139.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
79.0ms	(* (sqrt z) (sqrt 2.0))

simplify75.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	596	934
1	2613	852
2	5003	852

prune301.0ms

Filtered

122 candidates to 81 candidates (66.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	118	4	122
Fresh	2	4	6
Picked	1	0	1
Done	2	0	2
Total	123	8	131

Merged error: 0.0b

Counts

131 → 8

regimes569.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	24	17
1	24	17

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.1s	18137×	body	80	valid
1.1s	17979×	body	80	nan

Details

sample116.0ms

simplify75.0ms

prune3.0ms

localize15.0ms

rewrite24.0ms

series293.0ms

simplify42.0ms

prune185.0ms

localize22.0ms

rewrite29.0ms

series365.0ms

simplify53.0ms

prune232.0ms

localize15.0ms

rewrite38.0ms

series485.0ms

simplify78.0ms

prune329.0ms

localize15.0ms

rewrite37.0ms

series489.0ms

simplify75.0ms

prune301.0ms

regimes569.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.1s

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