Details

sample59.0ms

Algorithm

intervals

Results

42.0ms

445×

body

valid

simplify106.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 0.5b

Counts

2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ 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)))
0.3b	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

147×	`add-exp-log` `add-cbrt-cube`
98×	`prod-exp` `cbrt-unprod`
69×	`pow1`
49×	`pow-prod-down`
39×	`associate-l`
27×	`add-sqr-sqrt` `times-frac`
26×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-undiv` `div-exp`
4×	`add-log-exp`
3×	`associate-r` `associate-l/` `sqrt-prod` `-commutative` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 157

Calls

4 calls:

29.0ms	(* (/ 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)))
63.0ms	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series182.0ms

Counts

4 → 10

Calls

4 calls:

61.0ms	(* (/ 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)))
78.0ms	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify97.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	948	2073
1	3993	1269
2	5001	1096

prune465.0ms

Filtered

167 candidates to 86 candidates (51.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	163	4	167
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	164	4	168

Merged error: 0.1b

Counts

168 → 4

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 1.0 21.0) (pow (fabs x) 6))
0.2b	(* (/ 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

83×	`add-exp-log`
75×	`add-cbrt-cube`
48×	`prod-exp`
44×	`cbrt-unprod`
42×	`add-sqr-sqrt`
39×	`associate-l`
34×	`pow1`
30×	`times-frac`
28×	`add-cube-cbrt` `*-un-lft-identity`
21×	`pow-prod-down`
11×	`div-exp`
9×	`cbrt-undiv` `associate-r`
6×	`unswap-sqr`
5×	`unpow-prod-down`
4×	`add-log-exp`
3×	`associate-l/` `sqrt-prod` `-commutative` `div-inv` `sqr-pow`
2×	`pow-to-exp` `pow-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 142

Calls

4 calls:

8.0ms	(* (/ 1.0 21.0) (pow (fabs x) 6))
24.0ms	(* (/ 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)))
2.0ms	(sqrt PI)

series165.0ms

Counts

4 → 10

Calls

4 calls:

59.0ms	(* (/ 1.0 21.0) (pow (fabs x) 6))
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)

simplify90.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	777	1226
1	3436	940
2	5001	895

prune495.0ms

Filtered

152 candidates to 91 candidates (59.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	152	4	156

Merged error: 0.1b

Counts

156 → 4

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ 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)
17.5b	(cbrt (pow (fabs x) 6))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-exp-log` `add-cbrt-cube`
42×	`prod-exp` `cbrt-unprod`
34×	`pow1`
26×	`associate-l`
22×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down`
18×	`times-frac`
8×	`cbrt-undiv` `div-exp`
7×	`cbrt-prod`
4×	`add-log-exp`
3×	`unpow-prod-down` `sqrt-prod`
2×	`associate-r` `associate-l/` `-commutative` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3` `sqr-pow`

Counts

4 → 114

Calls

4 calls:

27.0ms	(* (/ 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)
2.0ms	(cbrt (pow (fabs x) 6))

series120.0ms

Counts

4 → 10

Calls

4 calls:

62.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
44.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)
14.0ms	(cbrt (pow (fabs x) 6))

simplify73.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	642	1103
1	2703	716
2	5001	657

prune456.0ms

Filtered

124 candidates to 72 candidates (58.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	124	4	128

Merged error: 0.1b

Counts

128 → 4

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ 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)))
0.3b	(/ (* (fabs x) (pow (fabs x) 6)) 21.0)
1.0b	(sqrt PI)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

80×	`add-exp-log`
75×	`add-cbrt-cube`
45×	`prod-exp`
43×	`cbrt-unprod`
34×	`pow1`
26×	`associate-l`
22×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity` `times-frac` `pow-prod-down`
12×	`div-exp`
10×	`cbrt-undiv`
4×	`add-log-exp`
3×	`associate-/r*` `sqrt-prod` `div-inv`
2×	`associate-r` `associate-l/` `-commutative`
1×	`pow-to-exp` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `pow-exp` `clear-num` `associate-/l*`

Counts

4 → 122

Calls

4 calls:

24.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
14.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
6.0ms	(/ (* (fabs x) (pow (fabs x) 6)) 21.0)
1.0ms	(sqrt PI)

series180.0ms

Counts

4 → 10

Calls

4 calls:

61.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
44.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
75.0ms	(/ (* (fabs x) (pow (fabs x) 6)) 21.0)
0.0ms	(sqrt PI)

simplify79.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	702	1167
1	3258	812
2	5001	768

prune410.0ms

Filtered

132 candidates to 78 candidates (59.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	132	4	136

Merged error: 0.1b

Counts

136 → 4

regimes66.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	33
1	40	33

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.2s

14125×

body

valid