Details

sample59.0ms

Algorithm

intervals

Results

41.0ms

459×

body

valid

simplify117.0ms

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 (100.0%)

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: 0.2b

Counts

2 → 1

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (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)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

107×	`add-exp-log` `add-cbrt-cube`
71×	`prod-exp` `cbrt-unprod`
68×	`pow1`
37×	`pow-prod-down`
27×	`associate-l`
22×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
10×	`cbrt-undiv` `div-exp`
6×	`pow-plus` `pow-prod-up`
5×	`associate-r`
4×	`add-log-exp`
3×	`sqrt-prod` `*-commutative`
2×	`pow2` `associate-*l/` `pow-sqr` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow3` `unswap-sqr`

Counts

4 → 137

Calls

4 calls:

6.0ms	(* (* (fabs x) (fabs x)) (fabs x))
58.0ms	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (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)

series30.0ms

Counts

4 → 10

Calls

4 calls:

10.0ms	(* (* (fabs x) (fabs x)) (fabs x))
12.0ms	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
8.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify92.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	772	1574
1	3319	931
2	5001	834

prune242.0ms

Filtered

147 candidates to 72 candidates (51.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	142	5	147
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	142	6	148

Merged error: 0.1b

Counts

148 → 6

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (/ 1.0 21.0) (pow (fabs x) 6))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-exp-log`
37×	`add-sqr-sqrt`
35×	`add-cbrt-cube`
33×	`pow1`
27×	`associate-l`
22×	`add-cube-cbrt` `*-un-lft-identity`
21×	`times-frac` `prod-exp`
17×	`cbrt-unprod`
11×	`associate-r`
9×	`pow-prod-down`
7×	`unswap-sqr`
6×	`pow-plus` `div-exp` `pow-prod-up`
5×	`unpow-prod-down`
4×	`cbrt-undiv` `add-log-exp`
3×	`sqrt-prod` `*-commutative` `sqr-pow`
2×	`pow2` `pow-to-exp` `associate-*l/` `pow-exp` `pow-sqr` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow3`

Counts

4 → 122

Calls

4 calls:

6.0ms	(* (* (fabs x) (fabs x)) (fabs x))
11.0ms	(* (/ 1.0 21.0) (pow (fabs x) 6))
12.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms	(sqrt PI)

series22.0ms

Counts

4 → 10

Calls

4 calls:

5.0ms	(* (* (fabs x) (fabs x)) (fabs x))
10.0ms	(* (/ 1.0 21.0) (pow (fabs x) 6))
8.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify75.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	537	763
1	2435	611
2	5001	595

prune267.0ms

Filtered

132 candidates to 78 candidates (40.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	0	4	4
Picked	1	0	1
Done	1	0	1
Total	133	5	138

Merged error: 0.1b

Counts

138 → 5

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1`
35×	`add-exp-log` `add-cbrt-cube`
18×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
15×	`associate-l`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow-plus` `pow-prod-down` `pow-prod-up`
9×	`times-frac`
7×	`associate-r`
4×	`pow2` `pow-sqr` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `sqrt-prod` `*-commutative`
2×	`pow3` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/` `div-inv`

Counts

4 → 107

Calls

4 calls:

6.0ms	(* (* (fabs x) (fabs x)) (fabs x))
6.0ms	(* (* (fabs x) (fabs x)) (fabs x))
12.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms	(sqrt PI)

series17.0ms

Counts

4 → 10

Calls

4 calls:

5.0ms	(* (* (fabs x) (fabs x)) (fabs x))
5.0ms	(* (* (fabs x) (fabs x)) (fabs x))
7.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify49.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	341	594
1	1362	417
2	5002	416

prune185.0ms

Filtered

117 candidates to 59 candidates (49.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	117	5	122

Merged error: 0.1b

Counts

122 → 5

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1`
35×	`add-exp-log` `add-cbrt-cube`
18×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
15×	`associate-l`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow-plus` `pow-prod-down` `pow-prod-up`
9×	`times-frac`
7×	`associate-r`
4×	`pow2` `pow-sqr` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `sqrt-prod` `*-commutative`
2×	`pow3` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/` `div-inv`

Counts

4 → 107

Calls

4 calls:

6.0ms	(* (* (fabs x) (fabs x)) (fabs x))
6.0ms	(* (* (fabs x) (fabs x)) (fabs x))
11.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms	(sqrt PI)

series17.0ms

Counts

4 → 10

Calls

4 calls:

5.0ms	(* (* (fabs x) (fabs x)) (fabs x))
5.0ms	(* (* (fabs x) (fabs x)) (fabs x))
7.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify47.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	343	594
1	1363	417
2	5001	416

prune180.0ms

Filtered

117 candidates to 59 candidates (49.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	117	5	122

Merged error: 0.1b

Counts

122 → 5

regimes99.0ms

Accuracy

0% (0.0b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	33
1	41	33

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.3s

14008×

body

valid

Details

sample59.0ms

simplify117.0ms

prune4.0ms

localize27.0ms

rewrite85.0ms

series30.0ms

simplify92.0ms

prune242.0ms

localize27.0ms

rewrite35.0ms

series22.0ms

simplify75.0ms

prune267.0ms

localize29.0ms

rewrite29.0ms

series17.0ms

simplify49.0ms

prune185.0ms

localize28.0ms

rewrite28.0ms

series17.0ms

simplify47.0ms

prune180.0ms

regimes99.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.5s

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