Details

analyze677.0ms

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

sample311.0ms

Algorithm

intervals

Results

211.0ms	153×	body	5120	exit
39.0ms	90×	body	1280	nan
20.0ms	72×	body	640	nan
16.0ms	256×	body	80	valid
6.0ms	35×	body	320	nan
1.0ms	13×	body	160	nan
0.0ms	9×	body	80	nan
0.0ms	2×	body	80	overflowed
0.0ms	2×	body	80	invalid

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4891	7
1	4891	7

prune7.0ms

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	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
0.3b	(pow.f64 l (exp.f64 w))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
7×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `unpow-prod-down_binary64`
5×	`add-exp-log_binary64`
4×	`add-cbrt-cube_binary64`
3×	`pow-unpow_binary64` `pow1_binary64` `sqr-pow_binary64` `associate-l_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`pow-to-exp_binary64` `add-log-exp_binary64` `pow-exp_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `neg-sub0_binary64` `pow-pow_binary64` `exp-diff_binary64` `exp-neg_binary64` `*-commutative_binary64`

Counts

2 → 44

Calls

2 calls:

8.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
3.0ms	(pow.f64 l (exp.f64 w))

series38.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
15.0ms	(pow.f64 l (exp.f64 w))

simplify58.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4937	433
1	4937	433

prune56.0ms

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.f64 (exp.f64 w))
0.0b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))))
0.3b	(pow.f64 l (sqrt.f64 (exp.f64 w)))
0.3b	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

27×	`unpow-prod-down_binary64`
26×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`pow-unpow_binary64`
11×	`associate-r_binary64`
10×	`add-exp-log_binary64`
9×	`sqrt-prod_binary64` `pow-exp_binary64`
7×	`sqr-pow_binary64`
6×	`pow1_binary64` `add-cbrt-cube_binary64`
5×	`pow-to-exp_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `sqrt-pow1_binary64`
3×	`associate-l_binary64` `exp-prod_binary64`
2×	`pow-pow_binary64` `associate-*l/_binary64`
1×	`pow1/2_binary64` `cbrt-unprod_binary64` `neg-sub0_binary64` `exp-diff_binary64` `rem-sqrt-square_binary64` `exp-neg_binary64` `*-commutative_binary64`

Counts

4 → 97

Calls

4 calls:

2.0ms	(sqrt.f64 (exp.f64 w))
11.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))))
3.0ms	(pow.f64 l (sqrt.f64 (exp.f64 w)))
5.0ms	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))

series94.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt.f64 (exp.f64 w))
42.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))))
20.0ms	(pow.f64 l (sqrt.f64 (exp.f64 w)))
30.0ms	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))

simplify67.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5049	1007

prune89.0ms

Filtered

70 candidates to 109 candidates (-55.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	108	7	115

Merged error: 0.1b

Counts

115 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (pow.f64 (exp.f64 1) (/.f64 w 2))))
0.0b	(pow.f64 (exp.f64 1) (/.f64 w 2))
0.3b	(pow.f64 l (sqrt.f64 (exp.f64 w)))
0.3b	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (pow.f64 (exp.f64 1) (/.f64 w 2)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

33×	`unpow-prod-down_binary64`
32×	`add-sqr-sqrt_binary64`
26×	`pow-unpow_binary64`
24×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`associate-r_binary64`
10×	`add-exp-log_binary64` `pow-exp_binary64`
9×	`sqr-pow_binary64` `times-frac_binary64`
6×	`pow-to-exp_binary64` `pow1_binary64` `pow-pow_binary64` `add-cbrt-cube_binary64`
5×	`unswap-sqr_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64`
3×	`associate-l_binary64` `sqrt-prod_binary64` `exp-prod_binary64`
2×	`associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `neg-sub0_binary64` `exp-diff_binary64` `div-inv_binary64` `exp-neg_binary64` `*-commutative_binary64`

Counts

4 → 112

Calls

4 calls:

11.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (pow.f64 (exp.f64 1) (/.f64 w 2))))
5.0ms	(pow.f64 (exp.f64 1) (/.f64 w 2))
3.0ms	(pow.f64 l (sqrt.f64 (exp.f64 w)))
5.0ms	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (pow.f64 (exp.f64 1) (/.f64 w 2)))

series103.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (pow.f64 (exp.f64 1) (/.f64 w 2))))
3.0ms	(pow.f64 (exp.f64 1) (/.f64 w 2))
17.0ms	(pow.f64 l (sqrt.f64 (exp.f64 w)))
38.0ms	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (pow.f64 (exp.f64 1) (/.f64 w 2)))

simplify54.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5030	1141

prune113.0ms

Filtered

85 candidates to 124 candidates (-45.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	124	7	131

Merged error: 0.1b

Counts

131 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (exp.f64 w))
0.3b	(pow.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w))))
0.3b	(pow.f64 l (sqrt.f64 (exp.f64 w)))
0.3b	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (fabs.f64 (cbrt.f64 (exp.f64 w))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

34×	`unpow-prod-down_binary64`
18×	`pow-unpow_binary64`
17×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
14×	`pow-exp_binary64`
10×	`add-exp-log_binary64`
9×	`sqrt-prod_binary64`
6×	`pow-to-exp_binary64` `sqr-pow_binary64` `cbrt-prod_binary64`
5×	`pow1_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow-pow_binary64`
1×	`pow1/3_binary64`

Counts

4 → 89

Calls

4 calls:

2.0ms	(cbrt.f64 (exp.f64 w))
7.0ms	(pow.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w))))
3.0ms	(pow.f64 l (sqrt.f64 (exp.f64 w)))
4.0ms	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (fabs.f64 (cbrt.f64 (exp.f64 w))))

series133.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt.f64 (exp.f64 w))
60.0ms	(pow.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w))))
20.0ms	(pow.f64 l (sqrt.f64 (exp.f64 w)))
38.0ms	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (fabs.f64 (cbrt.f64 (exp.f64 w))))

simplify62.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4931	1476
1	4931	1476

prune72.0ms

Filtered

69 candidates to 101 candidates (-46.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	101	7	108

Merged error: 0.0b

Counts

108 → 7

regimes96.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	25
1	23	25

end0.0ms

sample8.7s

Algorithm

intervals

Results

6.1s	4843×	body	5120	exit
1.0s	2377×	body	1280	nan
522.0ms	1966×	body	640	nan
486.0ms	8000×	body	80	valid
174.0ms	1006×	body	320	nan
30.0ms	302×	body	160	nan
10.0ms	237×	body	80	nan
9.0ms	147×	body	80	overflowed
6.0ms	108×	body	80	invalid
6.0ms	3×	body	5120	nan
2.0ms	2×	body	2560	nan

Details

analyze677.0ms

sample311.0ms

simplify86.0ms

prune7.0ms

localize7.0ms

rewrite12.0ms

series38.0ms

simplify58.0ms

prune56.0ms

localize10.0ms

rewrite23.0ms

series94.0ms

simplify67.0ms

prune89.0ms

localize16.0ms

rewrite26.0ms

series103.0ms

simplify54.0ms

prune113.0ms

localize15.0ms

rewrite20.0ms

series133.0ms

simplify62.0ms

prune72.0ms

regimes96.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample8.7s

Profiling