Details

sample126.0ms

Algorithm

intervals

Results

35.0ms	582×	body	80	valid
32.0ms	587×	body	80	nan

simplify80.0ms

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

prune4.0ms

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))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite23.0ms

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)))

series60.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
3.0ms	(exp (/ (* t t) 2.0))
16.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (10.0ms)

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

prune156.0ms

Filtered

50 candidates to 65 candidates (-30.0%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	55	10	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	11	66

Merged error: 0.0b

Counts

66 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

56×	`exp-prod`
50×	`sqrt-pow1`
44×	`add-sqr-sqrt`
30×	`add-cube-cbrt` `*-un-lft-identity`
24×	`times-frac`
21×	`pow1`
19×	`sqrt-prod`
12×	`pow-prod-up`
11×	`pow-prod-down`
10×	`associate-r` `pow-sqr`
9×	`associate-l`
8×	`add-exp-log` `pow1/2` `swap-sqr` `add-cbrt-cube` `div-inv`
6×	`add-log-exp`
5×	`unswap-sqr`
2×	`associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `rem-exp-log`
1×	`pow2` `flip3--` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `flip--`

Counts

4 → 121

Calls

4 calls:

2.0ms	(exp (/ (* t t) 2.0))
3.0ms	(exp (/ (* t t) 2.0))
16.0ms	(* (sqrt (exp (/ (* t t) 2.0))) (sqrt (exp (/ (* t t) 2.0))))
8.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series23.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(exp (/ (* t t) 2.0))
3.0ms	(exp (/ (* t t) 2.0))
3.0ms	(* (sqrt (exp (/ (* t t) 2.0))) (sqrt (exp (/ (* t t) 2.0))))
14.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	376	720
1	1580	635
2	5001	589

prune267.0ms

Filtered

84 candidates to 133 candidates (-58.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	133	11	144

Merged error: 0.0b

Counts

144 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

14.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
2.0ms	(exp (/ (* t t) 2.0))
7.0ms	(* (- (* x 0.5) y) (sqrt z))
9.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series77.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
3.0ms	(exp (/ (* t t) 2.0))
11.0ms	(* (- (* x 0.5) y) (sqrt z))
16.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	428	794
1	1953	697
2	5001	693

prune175.0ms

Filtered

67 candidates to 97 candidates (-44.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	94	3	97
Fresh	4	4	8
Picked	0	1	1
Done	1	1	2
Total	99	9	108

Merged error: 0.0b

Counts

108 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

14.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
3.0ms	(exp (/ (* t t) 2.0))
11.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
6.0ms	(* (sqrt z) (sqrt 2.0))

series72.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
3.0ms	(exp (/ (* t t) 2.0))
16.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
5.0ms	(* (sqrt z) (sqrt 2.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	458	786
1	1957	699
2	5001	697

prune147.0ms

Filtered

68 candidates to 100 candidates (-47.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	100	9	109

Merged error: 0.0b

Counts

109 → 9

regimes993.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	21	15
1	21	15

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.0s	17893×	body	80	valid
988.0ms	17636×	body	80	nan

Details

sample126.0ms

simplify80.0ms

prune4.0ms

localize12.0ms

rewrite23.0ms

series60.0ms

simplify44.0ms

prune156.0ms

localize14.0ms

rewrite36.0ms

series23.0ms

simplify58.0ms

prune267.0ms

localize13.0ms

rewrite35.0ms

series77.0ms

simplify60.0ms

prune175.0ms

localize13.0ms

rewrite36.0ms

series72.0ms

simplify66.0ms

prune147.0ms

regimes993.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.6s

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