Details

analyze668.0ms

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

sample290.0ms

Algorithm

intervals

Results

201.0ms	158×	body	5120	exit
36.0ms	81×	body	1280	nan
16.0ms	256×	body	80	valid
13.0ms	46×	body	640	nan
5.0ms	28×	body	320	nan
1.0ms	11×	body	160	nan
0.0ms	5×	body	80	overflowed
0.0ms	4×	body	80	invalid
0.0ms	1×	body	80	nan

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: 0.2b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (exp (neg w)) (pow l (exp w)))
0.2b	(pow l (exp w))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `unpow-prod-down` `-un-lft-identity` `associate-r*`
5×	`add-exp-log`
4×	`add-cbrt-cube`
3×	`pow1` `pow-unpow` `associate-l` `prod-exp` `unswap-sqr` `sqr-pow`
2×	`pow-to-exp` `associate-*l/` `pow-exp` `add-log-exp`
1×	`neg-sub0` `exp-neg` `pow-pow` `exp-diff` `*-commutative` `cbrt-unprod`

Counts

2 → 44

Calls

2 calls:

8.0ms	(* (exp (neg w)) (pow l (exp w)))
2.0ms	(pow l (exp w))

series41.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* (exp (neg w)) (pow l (exp w)))
16.0ms	(pow l (exp w))

simplify50.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5150	472

prune67.0ms

Filtered

33 candidates to 50 candidates (-51.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	46	4	50
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	48	4	52

Merged error: 0.1b

Counts

52 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp (neg w)))
0.0b	(cbrt (exp (neg w)))
0.0b	(* (cbrt (exp (neg w))) (cbrt (exp (neg w))))
0.2b	(pow l (exp w))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
12×	`pow1`
8×	`neg-sub0` `exp-neg` `exp-diff` `pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`unpow-prod-down` `pow-unpow`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 91

Calls

4 calls:

3.0ms	(cbrt (exp (neg w)))
3.0ms	(cbrt (exp (neg w)))
7.0ms	(* (cbrt (exp (neg w))) (cbrt (exp (neg w))))
2.0ms	(pow l (exp w))

series68.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt (exp (neg w)))
15.0ms	(cbrt (exp (neg w)))
22.0ms	(* (cbrt (exp (neg w))) (cbrt (exp (neg w))))
15.0ms	(pow l (exp w))

simplify65.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4926	728
1	4926	728

prune125.0ms

Filtered

69 candidates to 103 candidates (-49.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	103	4	107

Merged error: 0.1b

Counts

107 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp w) -1/3)
0.0b	(pow (exp w) -1/3)
0.0b	(pow (cbrt (pow (exp w) -1/3)) 4)
0.2b	(pow l (exp w))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

22×	`unpow-prod-down`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`pow-unpow`
11×	`pow-pow`
8×	`pow1`
7×	`cbrt-prod`
6×	`add-exp-log` `exp-prod`
5×	`sqr-pow`
4×	`pow-to-exp` `pow-exp` `add-cbrt-cube` `add-log-exp`
1×	`pow1/3`

Counts

4 → 82

Calls

4 calls:

3.0ms	(pow (exp w) -1/3)
3.0ms	(pow (exp w) -1/3)
4.0ms	(pow (cbrt (pow (exp w) -1/3)) 4)
2.0ms	(pow l (exp w))

series68.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(pow (exp w) -1/3)
15.0ms	(pow (exp w) -1/3)
24.0ms	(pow (cbrt (pow (exp w) -1/3)) 4)
15.0ms	(pow l (exp w))

simplify40.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5308	703

prune232.0ms

Filtered

65 candidates to 94 candidates (-44.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	92	6	98

Merged error: 0.1b

Counts

98 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (cbrt (pow (exp w) -1/3)) 4)
0.2b	(pow (sqrt l) (exp w))
0.2b	(pow (sqrt l) (exp w))
0.4b	(* (pow (sqrt l) (exp w)) (pow (sqrt l) (exp w)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

69×	`unpow-prod-down`
54×	`add-sqr-sqrt`
28×	`sqrt-prod`
26×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log`
16×	`unswap-sqr` `sqr-pow`
12×	`swap-sqr`
10×	`associate-r` `associate-l`
9×	`pow1` `pow-to-exp` `pow-unpow` `pow-exp` `prod-exp`
8×	`pow-pow`
7×	`cbrt-prod`
6×	`add-cbrt-cube`
4×	`add-log-exp`
2×	`sqrt-pow1` `pow1/2` `sqrt-pow2`
1×	`pow2` `pow1/3` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod`

Counts

4 → 141

Calls

4 calls:

4.0ms	(pow (cbrt (pow (exp w) -1/3)) 4)
3.0ms	(pow (sqrt l) (exp w))
3.0ms	(pow (sqrt l) (exp w))
9.0ms	(* (pow (sqrt l) (exp w)) (pow (sqrt l) (exp w)))

series92.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(pow (cbrt (pow (exp w) -1/3)) 4)
18.0ms	(pow (sqrt l) (exp w))
22.0ms	(pow (sqrt l) (exp w))
27.0ms	(* (pow (sqrt l) (exp w)) (pow (sqrt l) (exp w)))

simplify59.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5317	1820

prune289.0ms

Filtered

88 candidates to 153 candidates (-73.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	151	2	153
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	153	6	159

Merged error: 0.0b

Counts

159 → 6

regimes129.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	26	29
1	26	29

end0.0ms

sample9.0s

Algorithm

intervals

Results

6.2s	4614×	body	5120	exit
1.1s	2324×	body	1280	nan
561.0ms	1957×	body	640	nan
513.0ms	8000×	body	80	valid
180.0ms	948×	body	320	nan
34.0ms	319×	body	160	nan
11.0ms	240×	body	80	nan
9.0ms	143×	body	80	overflowed
7.0ms	119×	body	80	invalid
2.0ms	1×	body	5120	nan

Details

analyze668.0ms

sample290.0ms

simplify72.0ms

prune10.0ms

localize7.0ms

rewrite11.0ms

series41.0ms

simplify50.0ms

prune67.0ms

localize11.0ms

rewrite17.0ms

series68.0ms

simplify65.0ms

prune125.0ms

localize21.0ms

rewrite15.0ms

series68.0ms

simplify40.0ms

prune232.0ms

localize22.0ms

rewrite25.0ms

series92.0ms

simplify59.0ms

prune289.0ms

regimes129.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample9.0s

Profiling