Details

analyze5.0ms

Algorithm

sampling

Space saved by range analysis: 0.048828%

Space saved by search: 0.384358%

Guaranteed chance to sample good point: 99.993876%

sample9.0ms

Algorithm

intervals

Results

4.0ms	254×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	640	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	2
1	9	2
2	9	2

prune2.0ms

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: 0.0b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x 116.0) 16.0)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

3.0ms

(- (* x 116.0) 16.0)

series4.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(- (* x 116.0) 16.0)

simplify114.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	68	59
1	180	54
2	451	53
3	1057	53
4	3746	53
5	5001	53

prune18.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Merged error: 0.0b

Counts

16 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- (* x 116.0) 16.0)) (cbrt (- (* x 116.0) 16.0)))
0.8b	(cbrt (- (* x 116.0) 16.0))
0.8b	(cbrt (- (* x 116.0) 16.0))
0.8b	(cbrt (- (* x 116.0) 16.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

11.0ms	(* (cbrt (- (* x 116.0) 16.0)) (cbrt (- (* x 116.0) 16.0)))
6.0ms	(cbrt (- (* x 116.0) 16.0))
4.0ms	(cbrt (- (* x 116.0) 16.0))
4.0ms	(cbrt (- (* x 116.0) 16.0))

series40.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* (cbrt (- (* x 116.0) 16.0)) (cbrt (- (* x 116.0) 16.0)))
9.0ms	(cbrt (- (* x 116.0) 16.0))
9.0ms	(cbrt (- (* x 116.0) 16.0))
10.0ms	(cbrt (- (* x 116.0) 16.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	437	1151
1	1630	1099
2	5001	972

prune237.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	99	2	101

Merged error: 0.0b

Counts

101 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (- (* x 116.0) 16.0))
0.8b	(cbrt (- (* x 116.0) 16.0))
0.8b	(* (cbrt (cbrt (- (* x 116.0) 16.0))) (cbrt (cbrt (- (* x 116.0) 16.0))))
1.0b	(pow (cbrt (cbrt (- (* x 116.0) 16.0))) 4)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

69×	`cbrt-prod`
40×	`add-sqr-sqrt`
28×	`cbrt-div`
22×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
9×	`unpow-prod-down` `pow1/3` `swap-sqr` `associate-r` `associate-l` `unswap-sqr`
8×	`flip3--` `flip--`
7×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-plus` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 112

Calls

4 calls:

4.0ms	(cbrt (- (* x 116.0) 16.0))
3.0ms	(cbrt (- (* x 116.0) 16.0))
14.0ms	(* (cbrt (cbrt (- (* x 116.0) 16.0))) (cbrt (cbrt (- (* x 116.0) 16.0))))
6.0ms	(pow (cbrt (cbrt (- (* x 116.0) 16.0))) 4)

series61.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(cbrt (- (* x 116.0) 16.0))
9.0ms	(cbrt (- (* x 116.0) 16.0))
14.0ms	(* (cbrt (cbrt (- (* x 116.0) 16.0))) (cbrt (cbrt (- (* x 116.0) 16.0))))
26.0ms	(pow (cbrt (cbrt (- (* x 116.0) 16.0))) 4)

simplify76.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	680	1583
1	2659	1422
2	5001	1381

prune447.0ms

Filtered

89 candidates to 124 candidates (-39.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	123	3	126

Merged error: 0.0b

Counts

126 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (cbrt (cbrt (- (* x 116.0) 16.0))) 4)
1.1b	(cbrt (pow (cbrt (cbrt (- (* x 116.0) 16.0))) 4))
1.1b	(cbrt (pow (cbrt (cbrt (- (* x 116.0) 16.0))) 4))
1.1b	(cbrt (pow (cbrt (cbrt (- (* x 116.0) 16.0))) 4))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

75×	`cbrt-prod`
36×	`unpow-prod-down`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp` `sqr-pow`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 87

Calls

4 calls:

8.0ms	(pow (cbrt (cbrt (- (* x 116.0) 16.0))) 4)
6.0ms	(cbrt (pow (cbrt (cbrt (- (* x 116.0) 16.0))) 4))
6.0ms	(cbrt (pow (cbrt (cbrt (- (* x 116.0) 16.0))) 4))
6.0ms	(cbrt (pow (cbrt (cbrt (- (* x 116.0) 16.0))) 4))

series70.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(pow (cbrt (cbrt (- (* x 116.0) 16.0))) 4)
15.0ms	(cbrt (pow (cbrt (cbrt (- (* x 116.0) 16.0))) 4))
15.0ms	(cbrt (pow (cbrt (cbrt (- (* x 116.0) 16.0))) 4))
15.0ms	(cbrt (pow (cbrt (cbrt (- (* x 116.0) 16.0))) 4))

simplify54.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	438	1411
1	1524	1348
2	5001	1245

prune605.0ms

Filtered

73 candidates to 99 candidates (-35.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	99	3	102

Merged error: 0.0b

Counts

102 → 3

regimes101.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

analyze3.0ms

Algorithm

sampling

Space saved by range analysis: 0.048828%

Space saved by search: 0.384358%

Guaranteed chance to sample good point: 99.993876%

sample212.0ms

Algorithm

intervals

Results

121.0ms	7927×	body	80	valid
2.0ms	32×	body	1280	valid
1.0ms	22×	body	640	valid
0.0ms	12×	body	320	valid
0.0ms	7×	body	160	valid

Details

analyze5.0ms

sample9.0ms

simplify4.0ms

prune2.0ms

localize3.0ms

rewrite4.0ms

series4.0ms

simplify114.0ms

prune18.0ms

localize7.0ms

rewrite27.0ms

series40.0ms

simplify50.0ms

prune237.0ms

localize14.0ms

rewrite31.0ms

series61.0ms

simplify76.0ms

prune447.0ms

localize18.0ms

rewrite29.0ms

series70.0ms

simplify54.0ms

prune605.0ms

regimes101.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze3.0ms

sample212.0ms

Profiling