Details

sample97.0ms

Algorithm

intervals

Results

33.0ms	584×	body	80	valid
29.0ms	566×	body	80	nan

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: 0.6b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(exp (/ (* t t) 2.0))
0.2b	(sqrt (* z 2.0))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

5.0ms	(/ (* t t) 2.0)
3.0ms	(exp (/ (* t t) 2.0))
2.0ms	(sqrt (* z 2.0))
10.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ (* t t) 2.0)
19.0ms	(exp (/ (* t t) 2.0))
51.0ms	(sqrt (* z 2.0))
105.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	406	397
1	1508	342
2	5001	336

prune218.0ms

Filtered

80 candidates to 63 candidates (78.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	72	8	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	8	81

Merged error: 0.0b

Counts

81 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-prod`
9×	`associate-l`
7×	`exp-prod` `associate-r`
6×	`times-frac` `pow-prod-down`
5×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`unswap-sqr`
3×	`associate-/r*`
2×	`cbrt-undiv` `sqrt-pow1` `pow1/2` `div-exp` `associate-l/` `-commutative` `div-inv`
1×	`flip3--` `frac-2neg` `sqrt-unprod` `clear-num` `flip--` `rem-exp-log` `associate-/l*`

Counts

4 → 86

Calls

4 calls:

5.0ms	(/ (* t t) 2.0)
3.0ms	(exp (/ (* t t) 2.0))
10.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
7.0ms	(* (sqrt z) (sqrt 2.0))

series236.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (* t t) 2.0)
18.0ms	(exp (/ (* t t) 2.0))
126.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
65.0ms	(* (sqrt z) (sqrt 2.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	422	524
1	1736	459
2	5002	452

prune241.0ms

Filtered

98 candidates to 67 candidates (68.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	96	10	106

Merged error: 0.0b

Counts

106 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

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:

5.0ms	(pow (exp t) (/ t 2.0))
17.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (pow (exp t) (/ t 2.0)))
10.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
7.0ms	(* (sqrt z) (sqrt 2.0))

series482.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(pow (exp t) (/ t 2.0))
240.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (pow (exp t) (/ t 2.0)))
130.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
62.0ms	(* (sqrt z) (sqrt 2.0))

simplify72.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	595	943
1	2604	836
2	5001	836

prune308.0ms

Filtered

122 candidates to 79 candidates (64.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	122	10	132

Merged error: 0.0b

Counts

132 → 10

localize14.0ms

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))
0.4b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite44.0ms

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:

18.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
5.0ms	(pow (exp t) (/ t 2.0))
8.0ms	(* (- (* x 0.5) y) (sqrt z))
11.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series490.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
44.0ms	(pow (exp t) (/ t 2.0))
61.0ms	(* (- (* x 0.5) y) (sqrt z))
130.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify75.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	559	948
1	2648	834
2	5002	834

prune270.0ms

Filtered

119 candidates to 77 candidates (64.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	3	5	8
Picked	0	1	1
Done	0	1	1
Total	121	8	129

Merged error: 0b

Counts

129 → 8

regimes573.0ms

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	20	10
1	20	10

end0.0ms

sample2.8s

Algorithm

intervals

Results

965.0ms	17845×	body	80	valid
961.0ms	17922×	body	80	nan

Details

sample97.0ms

simplify75.0ms

prune3.0ms

localize13.0ms

rewrite21.0ms

series203.0ms

simplify44.0ms

prune218.0ms

localize15.0ms

rewrite27.0ms

series236.0ms

simplify47.0ms

prune241.0ms

localize14.0ms

rewrite42.0ms

series482.0ms

simplify72.0ms

prune308.0ms

localize14.0ms

rewrite44.0ms

series490.0ms

simplify75.0ms

prune270.0ms

regimes573.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.8s

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