Details

sample126.0ms

Algorithm

intervals

Results

35.0ms	584×	body	80	valid
31.0ms	593×	body	80	nan

simplify76.0ms

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

prune5.0ms

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

localize12.0ms

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))
0.2b	(* (- (* 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)))

series285.0ms

Counts

3 → 9

Calls

3 calls:

162.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
18.0ms	(exp (/ (* t t) 2.0))
105.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (9.0ms)

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

prune340.0ms

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

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

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:

4.0ms	(pow (exp t) (/ t 2.0))
11.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
10.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series332.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(pow (exp t) (/ t 2.0))
183.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
102.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (12.0ms)

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

prune399.0ms

Filtered

86 candidates to 64 candidates (74.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	86	8	94

Merged error: 0.0b

Counts

94 → 8

localize13.0ms

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

rewrite26.0ms

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

series363.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(pow (exp t) (/ t 2.0))
133.0ms	(* (sqrt (* z 2.0)) (pow (exp t) (/ t 2.0)))
184.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp t) (/ t 2.0))))

simplify55.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	488	721
1	1974	653
2	5002	653

prune439.0ms

Filtered

86 candidates to 64 candidates (74.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	86	8	94

Merged error: 0.0b

Counts

94 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp t) (/ t 2.0))
0.0b	(* (sqrt 2.0) (pow (exp t) (/ t 2.0)))
0.2b	(* (- (* x 0.5) y) (* (sqrt z) (* (sqrt 2.0) (pow (exp t) (/ t 2.0)))))
0.4b	(* (sqrt z) (* (sqrt 2.0) (pow (exp t) (/ t 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`
15×	`associate-l`
13×	`pow-unpow`
12×	`pow1`
10×	`cbrt-unprod`
9×	`times-frac` `associate-r` `sqrt-prod`
8×	`unpow-prod-down`
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:

5.0ms	(pow (exp t) (/ t 2.0))
7.0ms	(* (sqrt 2.0) (pow (exp t) (/ t 2.0)))
11.0ms	(* (- (* x 0.5) y) (* (sqrt z) (* (sqrt 2.0) (pow (exp t) (/ t 2.0)))))
8.0ms	(* (sqrt z) (* (sqrt 2.0) (pow (exp t) (/ t 2.0))))

series521.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(pow (exp t) (/ t 2.0))
83.0ms	(* (sqrt 2.0) (pow (exp t) (/ t 2.0)))
237.0ms	(* (- (* x 0.5) y) (* (sqrt z) (* (sqrt 2.0) (pow (exp t) (/ t 2.0)))))
154.0ms	(* (sqrt z) (* (sqrt 2.0) (pow (exp t) (/ t 2.0))))

simplify73.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	564	1037
1	2506	930
2	5003	924

prune472.0ms

Filtered

119 candidates to 79 candidates (66.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	116	3	119
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	120	7	127

Merged error: 0.0b

Counts

127 → 7

regimes1.1s

Accuracy

0% (0.2b 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 (0.0ms)

Iter	Nodes	Cost
0	19	9
1	19	9

end0.0ms

sample3.4s

Algorithm

intervals

Results

953.0ms	17935×	body	80	valid
918.0ms	17647×	body	80	nan

Details

sample126.0ms

simplify76.0ms

prune5.0ms

localize12.0ms

rewrite24.0ms

series285.0ms

simplify41.0ms

prune340.0ms

localize13.0ms

rewrite27.0ms

series332.0ms

simplify55.0ms

prune399.0ms

localize13.0ms

rewrite26.0ms

series363.0ms

simplify55.0ms

prune439.0ms

localize14.0ms

rewrite34.0ms

series521.0ms

simplify73.0ms

prune472.0ms

regimes1.1s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.4s

Profiling