Details

sample13.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify8.0ms

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

prune1.0ms

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: 0.1b

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)

rewrite17.0ms

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:

10.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
6.0ms	(* (/ 841.0 108.0) x)

series48.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
15.0ms	(* (/ 841.0 108.0) x)

simplify72.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (21.0ms)

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

prune82.0ms

Filtered

50 candidates to 38 candidates (76.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	3	51

Merged error: 0b

Counts

51 → 3

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)))

rewrite59.0ms

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:

17.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
7.0ms	(* (cbrt (/ 841.0 108.0)) x)
14.0ms	(* (* (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)))

series227.0ms

Counts

4 → 10

Calls

4 calls:

100.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
40.0ms	(* (cbrt (/ 841.0 108.0)) x)
86.0ms	(* (* (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)))

simplify68.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	494	1461
1	1820	1299
2	5001	1232

prune320.0ms

Filtered

169 candidates to 115 candidates (68.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	169	3	172

Merged error: 0b

Counts

172 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ (sqrt 841.0) 1) (* (/ (sqrt 841.0) 108.0) x)) (/ 4.0 29.0))
0.3b	(* (/ (sqrt 841.0) 1) (* (/ (sqrt 841.0) 108.0) x))
0.7b	(* (/ (sqrt 841.0) 108.0) x)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 107

Calls

3 calls:

13.0ms	(+ (* (/ (sqrt 841.0) 1) (* (/ (sqrt 841.0) 108.0) x)) (/ 4.0 29.0))
16.0ms	(* (/ (sqrt 841.0) 1) (* (/ (sqrt 841.0) 108.0) x))
8.0ms	(* (/ (sqrt 841.0) 108.0) x)

series252.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(+ (* (/ (sqrt 841.0) 1) (* (/ (sqrt 841.0) 108.0) x)) (/ 4.0 29.0))
92.0ms	(* (/ (sqrt 841.0) 1) (* (/ (sqrt 841.0) 108.0) x))
52.0ms	(* (/ (sqrt 841.0) 108.0) x)

simplify63.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	521	778
1	2521	637
2	5001	571

prune176.0ms

Filtered

116 candidates to 76 candidates (65.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	116	3	119

Merged error: 0b

Counts

119 → 3

regimes40.0ms

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

sample311.0ms

Algorithm

intervals

Results

211.0ms	8009×	body	80	valid
1.0ms	7×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid