Details

sample14.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.07019%

Guaranteed chance to sample good point: 99.996946%

Results

6.0ms

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))
0.1b	(* (/ 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:

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

series5.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(+ (* (/ 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 (19.0ms)

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

prune82.0ms

Filtered

38 candidates to 50 candidates (-31.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	46	4	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	5	51

Merged error: 0b

Counts

51 → 5

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)))

rewrite57.0ms

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)
16.0ms	(* (* (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)))

series23.0ms

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)
9.0ms	(* (* (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)))

simplify62.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (48.0ms)

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

prune349.0ms

Filtered

115 candidates to 169 candidates (-47.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	169	5	174

Merged error: 0b

Counts

174 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ 841.0 (sqrt 108.0)) x)
0.0b	(+ (* (/ 1 (sqrt 108.0)) (* (/ 841.0 (sqrt 108.0)) x)) (/ 4.0 29.0))
0.8b	(* (/ 1 (sqrt 108.0)) (* (/ 841.0 (sqrt 108.0)) x))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-exp-log`
44×	`associate-l`
38×	`add-sqr-sqrt` `times-frac`
30×	`add-cube-cbrt` `*-un-lft-identity`
29×	`add-cbrt-cube`
22×	`prod-exp`
19×	`sqrt-prod`
12×	`cbrt-unprod`
11×	`div-exp`
10×	`pow1`
7×	`associate-*l/`
6×	`cbrt-undiv`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down`
3×	`rec-exp` `1-exp` `frac-add` `unswap-sqr`
2×	`frac-times` `associate-r/` `-commutative` `div-inv`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 110

Calls

3 calls:

9.0ms	(* (/ 841.0 (sqrt 108.0)) x)
13.0ms	(+ (* (/ 1 (sqrt 108.0)) (* (/ 841.0 (sqrt 108.0)) x)) (/ 4.0 29.0))
13.0ms	(* (/ 1 (sqrt 108.0)) (* (/ 841.0 (sqrt 108.0)) x))

series33.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* (/ 841.0 (sqrt 108.0)) x)
15.0ms	(+ (* (/ 1 (sqrt 108.0)) (* (/ 841.0 (sqrt 108.0)) x)) (/ 4.0 29.0))
12.0ms	(* (/ 1 (sqrt 108.0)) (* (/ 841.0 (sqrt 108.0)) x))

simplify65.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	508	832
1	2737	674
2	5002	592

prune162.0ms

Filtered

73 candidates to 119 candidates (-63.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	119	5	124

Merged error: 0b

Counts

124 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))
0.0b	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.1b	(* (/ 841.0 108.0) x)
1.6b	(exp (log (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

9.0ms	(log (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))
7.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
6.0ms	(* (/ 841.0 108.0) x)
8.0ms	(exp (log (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))))

series12.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify35.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	380	538
1	1298	492
2	5001	480

prune126.0ms

Filtered

66 candidates to 89 candidates (-34.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	89	5	94

Merged error: 0b

Counts

94 → 5

regimes96.0ms

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

sample337.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.07019%

Guaranteed chance to sample good point: 99.996946%

Results

208.0ms	7995×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	5×	body	80	invalid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

Details

sample14.0ms

simplify7.0ms

prune2.0ms

localize5.0ms

rewrite14.0ms

series5.0ms

simplify70.0ms

prune82.0ms

localize9.0ms

rewrite57.0ms

series23.0ms

simplify62.0ms

prune349.0ms

localize9.0ms

rewrite39.0ms

series33.0ms

simplify65.0ms

prune162.0ms

localize9.0ms

rewrite31.0ms

series12.0ms

simplify35.0ms

prune126.0ms

regimes96.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample337.0ms

Profiling