Details

analyze734.0ms

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

sample268.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5189	17

prune14.0ms

Filtered

1 candidates to 1 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: 0.2b

Counts

2 → 2

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

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:

5.0ms	(pow (exp (/ t 2.0)) t)
9.0ms	(* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t))
12.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t)))

series76.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(pow (exp (/ t 2.0)) t)
25.0ms	(* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t))
47.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4964	1129
1	4964	1129

prune233.0ms

Filtered

65 candidates to 86 candidates (-32.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	74	12	86
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	76	12	88

Merged error: 0.0b

Counts

88 → 12

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
14×	`pow-pow`
13×	`exp-prod`
11×	`associate-r`
10×	`prod-exp` `add-cbrt-cube`
9×	`times-frac`
6×	`pow1` `unpow-prod-down` `associate-*l/`
4×	`associate-l` `cbrt-unprod`
3×	`pow-to-exp` `pow-unpow` `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:

5.0ms	(pow (exp (/ t 2.0)) t)
12.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (/ t 2.0)) t))
9.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series68.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(pow (exp (/ t 2.0)) t)
47.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (/ t 2.0)) t))
16.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4964	1065
1	4964	1065

prune201.0ms

Filtered

63 candidates to 86 candidates (-36.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	4	7	11
Picked	0	1	1
Done	0	0	0
Total	87	11	98

Merged error: 0.0b

Counts

98 → 11

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (/ t 2.0)) (* 1/2 t))
0.0b	(* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) (* 1/2 t)))
0.0b	(* (* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) (* 1/2 t))) (pow (exp (/ t 2.0)) (/ t 2)))
0.2b	(* (- (* x 0.5) y) (* (* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) (* 1/2 t))) (pow (exp (/ t 2.0)) (/ t 2))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

5.0ms	(pow (exp (/ t 2.0)) (* 1/2 t))
9.0ms	(* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) (* 1/2 t)))
12.0ms	(* (* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) (* 1/2 t))) (pow (exp (/ t 2.0)) (/ t 2)))
17.0ms	(* (- (* x 0.5) y) (* (* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) (* 1/2 t))) (pow (exp (/ t 2.0)) (/ t 2))))

series119.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(pow (exp (/ t 2.0)) (* 1/2 t))
25.0ms	(* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) (* 1/2 t)))
28.0ms	(* (* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) (* 1/2 t))) (pow (exp (/ t 2.0)) (/ t 2)))
62.0ms	(* (- (* x 0.5) y) (* (* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) (* 1/2 t))) (pow (exp (/ t 2.0)) (/ t 2))))

simplify75.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4959	1917
1	4959	1917

prune291.0ms

Filtered

80 candidates to 127 candidates (-58.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	127	11	138

Merged error: 0.0b

Counts

138 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (* z 2.0)))
0.1b	(sqrt (sqrt (* z 2.0)))
0.3b	(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
0.3b	(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

21×	`sqrt-prod`
19×	`pow1`
17×	`add-sqr-sqrt`
14×	`associate-r`
12×	`sqrt-pow1`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`pow-prod-down` `associate-*l/`
4×	`pow1/2` `associate-l` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `flip3--` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

3.0ms	(sqrt (sqrt (* z 2.0)))
3.0ms	(sqrt (sqrt (* z 2.0)))
10.0ms	(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
14.0ms	(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

series78.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sqrt (sqrt (* z 2.0)))
19.0ms	(sqrt (sqrt (* z 2.0)))
25.0ms	(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
16.0ms	(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

simplify44.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4934	967
1	4934	967

prune193.0ms

Filtered

65 candidates to 95 candidates (-46.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	3	5	8
Picked	1	0	1
Done	1	1	2
Total	97	9	106

Merged error: 0b

Counts

106 → 9

regimes765.0ms

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	37	28
1	37	28

end0.0ms

sample2.6s

Algorithm

intervals

Results

408.0ms

8000×

body

valid

Details

analyze734.0ms

sample268.0ms

simplify70.0ms

prune14.0ms

localize19.0ms

rewrite28.0ms

series76.0ms

simplify49.0ms

prune233.0ms

localize16.0ms

rewrite28.0ms

series68.0ms

simplify49.0ms

prune201.0ms

localize24.0ms

rewrite47.0ms

series119.0ms

simplify75.0ms

prune291.0ms

localize19.0ms

rewrite33.0ms

series78.0ms

simplify44.0ms

prune193.0ms

regimes765.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.6s

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