Details

sample56.0ms

Algorithm

intervals

Results

40.0ms

428×

body

valid

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	69	42
1	231	42
2	900	42
3	3753	42
4	5001	42

prune4.0ms

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

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x))
0.1b	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

80×	`pow1`
79×	`add-exp-log` `add-cbrt-cube`
48×	`prod-exp` `cbrt-unprod`
27×	`associate-l` `pow-prod-down`
21×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
20×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
8×	`cbrt-undiv` `div-exp`
5×	`associate-r`
4×	`pow2` `pow-sqr` `add-log-exp`
3×	`sqrt-prod` `*-commutative`
2×	`pow3` `associate-*l/` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 138

Calls

4 calls:

9.0ms	(* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x))
23.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
12.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series137.0ms

Counts

4 → 10

Calls

4 calls:

31.0ms	(* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x))
58.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
48.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify78.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	635	1159
1	2836	781
2	5002	750

prune402.0ms

Filtered

148 candidates to 74 candidates (50.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	143	5	148
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	143	6	149

Merged error: 0.1b

Counts

149 → 6

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.2b	(* (* (fabs x) (fabs x)) (pow (fabs x) 2))
1.0b	(sqrt PI)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-exp-log`
75×	`add-cbrt-cube`
51×	`prod-exp`
45×	`cbrt-unprod`
39×	`pow1`
27×	`associate-l`
24×	`add-sqr-sqrt`
22×	`pow-prod-down`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
10×	`associate-r`
8×	`cbrt-undiv` `div-exp`
5×	`pow-prod-up`
4×	`unpow-prod-down` `add-log-exp` `unswap-sqr`
3×	`pow2` `sqrt-prod` `*-commutative` `unpow2`
2×	`pow-to-exp` `associate-*l/` `pow-exp` `pow-sqr` `div-inv` `sqr-pow`
1×	`rem-sqrt-square` `sqrt-pow1` `pow-plus` `pow1/2` `swap-sqr`

Counts

4 → 135

Calls

4 calls:

23.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
11.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
8.0ms	(* (* (fabs x) (fabs x)) (pow (fabs x) 2))
1.0ms	(sqrt PI)

series136.0ms

Counts

4 → 10

Calls

4 calls:

59.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
43.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
34.0ms	(* (* (fabs x) (fabs x)) (pow (fabs x) 2))
0.0ms	(sqrt PI)

simplify93.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	725	1145
1	3161	746
2	5001	711

prune453.0ms

Filtered

145 candidates to 79 candidates (54.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	145	6	151

Merged error: 0.1b

Counts

151 → 6

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.2b	(* (sqrt (fabs x)) (pow (fabs x) 3))
1.0b	(sqrt PI)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-exp-log`
72×	`add-cbrt-cube`
45×	`prod-exp`
43×	`cbrt-unprod`
39×	`add-sqr-sqrt`
35×	`pow1`
32×	`associate-l`
24×	`add-cube-cbrt` `*-un-lft-identity`
21×	`pow-prod-down`
18×	`times-frac`
14×	`associate-r`
10×	`sqrt-prod`
8×	`cbrt-undiv` `div-exp` `unswap-sqr`
5×	`unpow-prod-down` `cube-prod`
4×	`add-log-exp`
3×	`*-commutative` `sqr-pow`
2×	`sqrt-pow1` `pow1/2` `associate-*l/` `pow-prod-up` `div-inv`
1×	`cube-mult` `pow-to-exp` `rem-sqrt-square` `unpow3` `pow-exp`

Counts

4 → 139

Calls

4 calls:

23.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
12.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
8.0ms	(* (sqrt (fabs x)) (pow (fabs x) 3))
1.0ms	(sqrt PI)

series170.0ms

Counts

4 → 10

Calls

4 calls:

59.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
43.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
67.0ms	(* (sqrt (fabs x)) (pow (fabs x) 3))
0.0ms	(sqrt PI)

simplify97.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	706	1245
1	3122	932
2	5002	885

prune534.0ms

Filtered

149 candidates to 84 candidates (56.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	147	2	149
Fresh	1	2	3
Picked	0	1	1
Done	1	1	2
Total	149	6	155

Merged error: 0.1b

Counts

155 → 6

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.1b	(* (sqrt (sqrt (fabs x))) (pow (fabs x) 3))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-exp-log`
72×	`add-cbrt-cube`
47×	`add-sqr-sqrt`
45×	`prod-exp`
43×	`cbrt-unprod`
35×	`pow1` `associate-l`
25×	`add-cube-cbrt` `*-un-lft-identity`
24×	`sqrt-prod`
21×	`pow-prod-down`
18×	`times-frac`
14×	`associate-r`
12×	`unswap-sqr`
8×	`cbrt-undiv` `div-exp`
6×	`unpow-prod-down` `cube-prod`
4×	`sqrt-pow1` `add-log-exp` `sqr-pow`
3×	`*-commutative`
2×	`pow1/2` `associate-*l/` `pow-prod-up` `div-inv`
1×	`cube-mult` `pow-to-exp` `rem-sqrt-square` `unpow3` `pow-exp`

Counts

4 → 146

Calls

4 calls:

25.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
9.0ms	(* (sqrt (sqrt (fabs x))) (pow (fabs x) 3))
11.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series279.0ms

Counts

4 → 10

Calls

4 calls:

61.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
175.0ms	(* (sqrt (sqrt (fabs x))) (pow (fabs x) 3))
43.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify83.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	680	1340
1	2878	1032
2	5001	993

prune570.0ms

Filtered

156 candidates to 86 candidates (55.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	156	6	162

Merged error: 0.1b

Counts

162 → 6

regimes259.0ms

Accuracy

0% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	42
1	41	42

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.3s

13823×

body

valid