Details

analyze885.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
31.2%	68.7%	0.1%	5
31.2%	59.3%	9.5%	6
34.3%	54.6%	11%	7
34.3%	49.2%	16.5%	8
35.9%	46.4%	17.7%	9
35.9%	42.1%	22%	10
36.7%	40.6%	22.7%	11
36.7%	39.1%	24.2%	12
37.1%	38.3%	24.7%	13
37.1%	36.7%	26.2%	14

sample294.0ms

Algorithm

intervals

Results

206.0ms	152×	body	5120	exit
32.0ms	73×	body	1280	nan
17.0ms	59×	body	640	nan
16.0ms	256×	body	80	valid
4.0ms	23×	body	320	nan
1.0ms	7×	body	160	nan
0.0ms	7×	body	80	nan
0.0ms	4×	body	80	overflowed
0.0ms	1×	body	80	invalid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4891	7
1	4891	7

prune10.0ms

Filtered

1 candidates to 1 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: 0.4b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (pow l (exp w)) (exp w))
0.4b	(pow l (exp w))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

21×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`unpow-prod-down`
7×	`associate-/l*`
5×	`add-exp-log` `sqr-pow`
4×	`add-cbrt-cube`
3×	`pow1` `pow-unpow` `div-exp` `associate-/r*`
2×	`pow-to-exp` `pow-exp` `add-log-exp`
1×	`cbrt-undiv` `pow-pow` `frac-2neg` `clear-num` `div-inv`

Counts

2 → 62

Calls

2 calls:

5.0ms	(/ (pow l (exp w)) (exp w))
2.0ms	(pow l (exp w))

series39.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ (pow l (exp w)) (exp w))
16.0ms	(pow l (exp w))

simplify45.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5129	793

prune95.0ms

Filtered

49 candidates to 68 candidates (-38.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	61	7	68
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	63	7	70

Merged error: 0.1b

Counts

70 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (* (cbrt (exp w)) (cbrt (exp w))))
0.0b	(/ (pow l (exp w)) (cbrt (exp w)))
0.0b	(* (cbrt (exp w)) (cbrt (exp w)))
0.4b	(pow l (exp w))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
46×	`add-cube-cbrt` `*-un-lft-identity`
45×	`times-frac`
40×	`cbrt-prod`
24×	`unpow-prod-down`
23×	`add-exp-log`
20×	`pow1`
12×	`pow1/3`
10×	`associate-/l*`
9×	`pow-flip`
8×	`add-cbrt-cube` `sqr-pow`
7×	`div-exp` `associate-/r*`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `pow-sqr` `pow-prod-up` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `pow-unpow`
2×	`pow2` `pow-to-exp` `rec-exp` `frac-2neg` `pow-plus` `1-exp` `pow-exp` `clear-num` `cbrt-unprod` `div-inv`
1×	`pow-pow` `*-commutative` `inv-pow`

Counts

4 → 161

Calls

4 calls:

6.0ms	(/ 1 (* (cbrt (exp w)) (cbrt (exp w))))
5.0ms	(/ (pow l (exp w)) (cbrt (exp w)))
6.0ms	(* (cbrt (exp w)) (cbrt (exp w)))
2.0ms	(pow l (exp w))

series95.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ 1 (* (cbrt (exp w)) (cbrt (exp w))))
32.0ms	(/ (pow l (exp w)) (cbrt (exp w)))
20.0ms	(* (cbrt (exp w)) (cbrt (exp w)))
15.0ms	(pow l (exp w))

simplify52.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4963	1763
1	4963	1763

prune186.0ms

Filtered

108 candidates to 173 candidates (-60.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	170	3	173
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	173	7	180

Merged error: 0.1b

Counts

180 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (cbrt (exp w)))
0.0b	(/ (pow l (exp w)) (cbrt (exp w)))
0.1b	(pow (cbrt (cbrt (exp w))) 5)
0.4b	(pow l (exp w))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

42×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
33×	`unpow-prod-down`
11×	`add-exp-log`
9×	`sqr-pow`
7×	`associate-/l*`
6×	`pow1` `pow-unpow` `associate-/r*`
5×	`add-cbrt-cube`
4×	`add-log-exp`
3×	`pow-to-exp` `pow-pow` `div-exp` `pow-exp`
2×	`pow1/3`
1×	`cbrt-undiv` `frac-2neg` `clear-num` `div-inv`

Counts

4 → 124

Calls

4 calls:

2.0ms	(cbrt (cbrt (exp w)))
6.0ms	(/ (pow l (exp w)) (cbrt (exp w)))
4.0ms	(pow (cbrt (cbrt (exp w))) 5)
2.0ms	(pow l (exp w))

series86.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt (cbrt (exp w)))
33.0ms	(/ (pow l (exp w)) (cbrt (exp w)))
21.0ms	(pow (cbrt (cbrt (exp w))) 5)
18.0ms	(pow l (exp w))

simplify53.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5024	1671

prune213.0ms

Filtered

107 candidates to 136 candidates (-27.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	132	4	136
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	135	8	143

Merged error: 0.1b

Counts

143 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (cbrt (exp w)))
0.0b	(cbrt (cbrt (exp w)))
0.1b	(pow (cbrt (cbrt (exp w))) 5)
0.4b	(pow l (exp w))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down`
6×	`pow1` `add-exp-log` `pow-unpow`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-pow` `pow1/3`
2×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 69

Calls

4 calls:

2.0ms	(cbrt (cbrt (exp w)))
2.0ms	(cbrt (cbrt (exp w)))
5.0ms	(pow (cbrt (cbrt (exp w))) 5)
2.0ms	(pow l (exp w))

series78.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt (cbrt (exp w)))
21.0ms	(cbrt (cbrt (exp w)))
20.0ms	(pow (cbrt (cbrt (exp w))) 5)
16.0ms	(pow l (exp w))

simplify46.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4896	646
1	4896	646

prune130.0ms

Filtered

63 candidates to 81 candidates (-28.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	81	8	89

Merged error: 0.1b

Counts

89 → 8

regimes140.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	45
1	25	45

end0.0ms

sample9.2s

Algorithm

intervals

Results

6.3s	4763×	body	5120	exit
1.1s	2423×	body	1280	nan
609.0ms	2076×	body	640	nan
531.0ms	8000×	body	80	valid
185.0ms	993×	body	320	nan
37.0ms	317×	body	160	nan
11.0ms	219×	body	80	nan
9.0ms	144×	body	80	overflowed
8.0ms	126×	body	80	invalid
2.0ms	1×	body	5120	nan
1.0ms	1×	body	2560	nan

Details

analyze885.0ms

sample294.0ms

simplify72.0ms

prune10.0ms

localize6.0ms

rewrite9.0ms

series39.0ms

simplify45.0ms

prune95.0ms

localize11.0ms

rewrite27.0ms

series95.0ms

simplify52.0ms

prune186.0ms

localize14.0ms

rewrite18.0ms

series86.0ms

simplify53.0ms

prune213.0ms

localize19.0ms

rewrite13.0ms

series78.0ms

simplify46.0ms

prune130.0ms

regimes140.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample9.2s

Profiling