Details

analyze686.0ms

Algorithm: search

sample267.0ms

Algorithm

intervals

Results

164.0ms	133×	body	5120	exit
38.0ms	85×	body	1280	nan
19.0ms	256×	body	80	valid
17.0ms	63×	body	640	nan
8.0ms	45×	body	320	nan
2.0ms	6×	body	80	nan
2.0ms	16×	body	160	nan
0.0ms	2×	body	80	invalid
0.0ms	3×	body	80	overflowed

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	14	5
1	29	5
2	69	4
3	243	4
4	925	4
5	5001	4

prune9.0ms

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: 0.3b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (exp (neg w)) (pow l (exp w)))
0.3b	(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))

series40.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* (exp (neg w)) (pow l (exp w)))
16.0ms	(pow l (exp w))

simplify50.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	358	408
1	1656	373
2	5002	275

prune72.0ms

Filtered

33 candidates to 50 candidates (-51.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	44	6	50
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	46	6	52

Merged error: 0.1b

Counts

52 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp w))
0.0b	(* (exp (neg w)) (pow (pow l (sqrt (exp w))) (sqrt (exp w))))
0.3b	(pow (pow l (sqrt (exp w))) (sqrt (exp w)))
0.3b	(pow l (sqrt (exp w)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

2.0ms	(sqrt (exp w))
12.0ms	(* (exp (neg w)) (pow (pow l (sqrt (exp w))) (sqrt (exp w))))
4.0ms	(pow (pow l (sqrt (exp w))) (sqrt (exp w)))
3.0ms	(pow l (sqrt (exp w)))

series83.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (exp w))
35.0ms	(* (exp (neg w)) (pow (pow l (sqrt (exp w))) (sqrt (exp w))))
27.0ms	(pow (pow l (sqrt (exp w))) (sqrt (exp w)))
18.0ms	(pow l (sqrt (exp w)))

simplify73.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	525	1016
1	2251	944
2	5001	849

prune129.0ms

Filtered

74 candidates to 109 candidates (-47.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	109	6	115

Merged error: 0.1b

Counts

115 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp (neg w)) (pow (pow (pow l (sqrt (sqrt (exp w)))) (sqrt (sqrt (exp w)))) (sqrt (exp w))))
0.3b	(pow (pow l (sqrt (sqrt (exp w)))) (sqrt (sqrt (exp w))))
0.3b	(pow l (sqrt (sqrt (exp w))))
0.3b	(pow (pow (pow l (sqrt (sqrt (exp w)))) (sqrt (sqrt (exp w)))) (sqrt (exp w)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 127

Calls

4 calls:

13.0ms	(* (exp (neg w)) (pow (pow (pow l (sqrt (sqrt (exp w)))) (sqrt (sqrt (exp w)))) (sqrt (exp w))))
4.0ms	(pow (pow l (sqrt (sqrt (exp w)))) (sqrt (sqrt (exp w))))
3.0ms	(pow l (sqrt (sqrt (exp w))))
6.0ms	(pow (pow (pow l (sqrt (sqrt (exp w)))) (sqrt (sqrt (exp w)))) (sqrt (exp w)))

series170.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (exp (neg w)) (pow (pow (pow l (sqrt (sqrt (exp w)))) (sqrt (sqrt (exp w)))) (sqrt (exp w))))
36.0ms	(pow (pow l (sqrt (sqrt (exp w)))) (sqrt (sqrt (exp w))))
20.0ms	(pow l (sqrt (sqrt (exp w))))
53.0ms	(pow (pow (pow l (sqrt (sqrt (exp w)))) (sqrt (sqrt (exp w)))) (sqrt (exp w)))

simplify116.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	730	2085
1	3142	1904
2	5002	1817

prune165.0ms

Filtered

89 candidates to 139 candidates (-56.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	135	4	139
Fresh	4	1	5
Picked	1	0	1
Done	0	0	0
Total	140	5	145

Merged error: 0.1b

Counts

145 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (pow (pow l (* 2 (/ (fabs (cbrt (sqrt (exp w)))) 2))) (sqrt (cbrt (sqrt (exp w))))) (sqrt (sqrt (exp w))))
0.3b	(pow (pow (pow (pow l (* 2 (/ (fabs (cbrt (sqrt (exp w)))) 2))) (sqrt (cbrt (sqrt (exp w))))) (sqrt (sqrt (exp w)))) (sqrt (exp w)))
0.3b	(pow l (* 2 (/ (fabs (cbrt (sqrt (exp w)))) 2)))
0.3b	(pow (pow l (* 2 (/ (fabs (cbrt (sqrt (exp w)))) 2))) (sqrt (cbrt (sqrt (exp w)))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

70×	`unpow-prod-down`
30×	`pow-exp`
28×	`pow-unpow`
24×	`sqrt-prod`
23×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
14×	`add-exp-log`
10×	`pow-to-exp` `sqr-pow`
6×	`cbrt-prod`
5×	`pow1`
4×	`pow-pow` `add-cbrt-cube` `add-log-exp`

Counts

4 → 120

Calls

4 calls:

6.0ms	(pow (pow (pow l (* 2 (/ (fabs (cbrt (sqrt (exp w)))) 2))) (sqrt (cbrt (sqrt (exp w))))) (sqrt (sqrt (exp w))))
8.0ms	(pow (pow (pow (pow l (* 2 (/ (fabs (cbrt (sqrt (exp w)))) 2))) (sqrt (cbrt (sqrt (exp w))))) (sqrt (sqrt (exp w)))) (sqrt (exp w)))
2.0ms	(pow l (* 2 (/ (fabs (cbrt (sqrt (exp w)))) 2)))
5.0ms	(pow (pow l (* 2 (/ (fabs (cbrt (sqrt (exp w)))) 2))) (sqrt (cbrt (sqrt (exp w)))))

series192.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(pow (pow (pow l (* 2 (/ (fabs (cbrt (sqrt (exp w)))) 2))) (sqrt (cbrt (sqrt (exp w))))) (sqrt (sqrt (exp w))))
77.0ms	(pow (pow (pow (pow l (* 2 (/ (fabs (cbrt (sqrt (exp w)))) 2))) (sqrt (cbrt (sqrt (exp w))))) (sqrt (sqrt (exp w)))) (sqrt (exp w)))
20.0ms	(pow l (* 2 (/ (fabs (cbrt (sqrt (exp w)))) 2)))
37.0ms	(pow (pow l (* 2 (/ (fabs (cbrt (sqrt (exp w)))) 2))) (sqrt (cbrt (sqrt (exp w)))))

simplify99.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	789	3102
1	3100	2950
2	5001	2854

prune258.0ms

Filtered

83 candidates to 132 candidates (-59.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	131	6	137

Merged error: 0.1b

Counts

137 → 6

regimes113.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	27
1	21	27

end0.0ms

analyze677.0ms

Algorithm: search

sample8.7s

Algorithm

intervals

Results

6.0s	4572×	body	5120	exit
1.1s	2442×	body	1280	nan
544.0ms	1952×	body	640	nan
509.0ms	8000×	body	80	valid
168.0ms	959×	body	320	nan
32.0ms	311×	body	160	nan
10.0ms	206×	body	80	nan
9.0ms	141×	body	80	overflowed
7.0ms	118×	body	80	invalid
6.0ms	3×	body	5120	nan
1.0ms	1×	body	2560	nan

Details

analyze686.0ms

sample267.0ms

simplify32.0ms

prune9.0ms

localize7.0ms

rewrite11.0ms

series40.0ms

simplify50.0ms

prune72.0ms

localize10.0ms

rewrite23.0ms

series83.0ms

simplify73.0ms

prune129.0ms

localize14.0ms

rewrite30.0ms

series170.0ms

simplify116.0ms

prune165.0ms

localize24.0ms

rewrite25.0ms

series192.0ms

simplify99.0ms

prune258.0ms

regimes113.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze677.0ms

sample8.7s

Profiling