Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

257×

body

valid

simplify9.0ms

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

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))
0.2b	(* (/ 841.0 108.0) x)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

90×	`associate-*l/`
81×	`frac-add`
57×	`associate-/r` `associate-/l`
56×	`*-un-lft-identity`
53×	`add-sqr-sqrt`
48×	`add-cube-cbrt`
19×	`frac-2neg` `clear-num`
15×	`associate-l`
12×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-r` `distribute-lft-out`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

2 → 135

Calls

2 calls:

24.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
7.0ms	(* (/ 841.0 108.0) x)

series53.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
16.0ms	(* (/ 841.0 108.0) x)

simplify101.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	937	1149
1	4120	1107
2	5001	1107

prune175.0ms

Filtered

141 candidates to 92 candidates (65.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	139	2	141
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	139	3	142

Merged error: 0b

Counts

142 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

99×	`frac-add`
90×	`associate-*r/`
73×	`associate-/l*`
66×	`*-un-lft-identity`
63×	`associate-/r*`
57×	`add-sqr-sqrt`
52×	`add-cube-cbrt`
31×	`clear-num`
21×	`frac-2neg`
20×	`un-div-inv`
13×	`associate-r`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `associate-l` `add-log-exp`
2×	`prod-exp` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

2 → 154

Calls

2 calls:

25.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
8.0ms	(* 841.0 (/ x 108.0))

series53.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
15.0ms	(* 841.0 (/ x 108.0))

simplify109.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1035	1295
1	4518	1253
2	5001	1253

prune167.0ms

Filtered

160 candidates to 90 candidates (56.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	160	3	163

Merged error: 0b

Counts

163 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (* (/ 841.0 (sqrt 108.0)) x) (sqrt 108.0)) (/ 4.0 29.0))
0.5b	(/ (* (/ 841.0 (sqrt 108.0)) x) (sqrt 108.0))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

594×	`add-sqr-sqrt`
522×	`times-frac` `associate-/l*`
486×	`frac-add`
476×	`*-un-lft-identity`
466×	`add-cube-cbrt`
353×	`associate-l`
319×	`sqrt-prod`
282×	`associate-/r*`
120×	`associate-*l/` `associate-/l/`
74×	`frac-2neg` `clear-num`
48×	`associate-r` `unswap-sqr`
17×	`div-inv`
16×	`*-commutative`
11×	`add-exp-log` `add-cbrt-cube`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`distribute-lft-out`
2×	`pow1` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

2 → 765

Calls

2 calls:

143.0ms	(+ (/ (* (/ 841.0 (sqrt 108.0)) x) (sqrt 108.0)) (/ 4.0 29.0))
20.0ms	(/ (* (/ 841.0 (sqrt 108.0)) x) (sqrt 108.0))

series257.0ms

Counts

2 → 6

Calls

2 calls:

152.0ms	(+ (/ (* (/ 841.0 (sqrt 108.0)) x) (sqrt 108.0)) (/ 4.0 29.0))
105.0ms	(/ (* (/ 841.0 (sqrt 108.0)) x) (sqrt 108.0))

simplify224.0ms

Algorithm

egg-herbie

Counts

771 → 771

Iterations

Useful iterations: 1 (97.0ms)

Iter	Nodes	Cost
0	4780	12607
1	5001	12381

prune1.1s

Filtered

771 candidates to 400 candidates (51.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	771	0	771
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	771	3	774

Merged error: 0b

Counts

774 → 3

regimes33.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample253.0ms

Algorithm

intervals

Results

163.0ms	8002×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid