Details

sample16.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.140381%

Guaranteed chance to sample good point: 99.993888%

Results

7.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	17	4
2	19	4
3	21	4
4	22	4
5	22	4

prune2.0ms

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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.2b	(* (/ 841.0 108.0) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

6.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
6.0ms	(* (/ 841.0 108.0) x)

series9.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
2.0ms	(* (/ 841.0 108.0) x)

simplify70.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	241	217
1	828	198
2	3241	196
3	5001	196

prune72.0ms

Filtered

38 candidates to 50 candidates (-31.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	4	51

Merged error: 0b

Counts

51 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
0.2b	(* 841.0 (/ x 108.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

6.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
6.0ms	(* 841.0 (/ x 108.0))

series5.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
2.0ms	(* 841.0 (/ x 108.0))

simplify93.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	254	222
1	1015	203
2	4286	202
3	5001	202

prune63.0ms

Filtered

37 candidates to 50 candidates (-35.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	50	4	54

Merged error: 0b

Counts

54 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
0.1b	(* (cbrt (/ 841.0 108.0)) x)
0.4b	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
1.0b	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

79×	`cbrt-prod`
76×	`add-sqr-sqrt`
52×	`times-frac`
45×	`add-cube-cbrt` `*-un-lft-identity`
33×	`associate-l`
29×	`cbrt-div`
25×	`pow1`
20×	`add-exp-log` `associate-r` `associate-*l/`
16×	`swap-sqr`
12×	`unswap-sqr`
11×	`frac-times` `pow-prod-down` `add-cbrt-cube`
10×	`prod-exp` `cbrt-unprod`
7×	`associate-*r/` `frac-add`
6×	`pow1/3` `add-log-exp`
5×	`div-inv`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`+-commutative` `pow2` `flip3-+` `pow-plus` `sum-log` `flip-+`

Counts

4 → 159

Calls

4 calls:

16.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
6.0ms	(* (cbrt (/ 841.0 108.0)) x)
13.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
12.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series26.0ms

Counts

4 → 10

Calls

4 calls:

10.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
4.0ms	(* (cbrt (/ 841.0 108.0)) x)
11.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
0.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

simplify71.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	494	1461
1	1820	1299
2	5002	1232

prune341.0ms

Filtered

115 candidates to 169 candidates (-47.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	169	4	173

Merged error: 0b

Counts

173 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.0b	(exp (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))
0.2b	(* (/ 841.0 108.0) x)
1.5b	(log (exp (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

7.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
8.0ms	(exp (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))
6.0ms	(* (/ 841.0 108.0) x)
7.0ms	(log (exp (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))))

series11.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
2.0ms	(exp (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))
2.0ms	(* (/ 841.0 108.0) x)
3.0ms	(log (exp (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))))

simplify113.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	302	432
1	1084	384
2	4766	382
3	5002	382

prune115.0ms

Filtered

62 candidates to 85 candidates (-37.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	85	4	89

Merged error: 0b

Counts

89 → 4

regimes100.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample348.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.140381%

Guaranteed chance to sample good point: 99.993888%

Results

215.0ms	7998×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

Details

sample16.0ms

simplify7.0ms

prune2.0ms

localize5.0ms

rewrite14.0ms

series9.0ms

simplify70.0ms

prune72.0ms

localize5.0ms

rewrite14.0ms

series5.0ms

simplify93.0ms

prune63.0ms

localize9.0ms

rewrite54.0ms

series26.0ms

simplify71.0ms

prune341.0ms

localize9.0ms

rewrite30.0ms

series11.0ms

simplify113.0ms

prune115.0ms

regimes100.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample348.0ms

Profiling