Details

analyze851.0ms

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

sample278.0ms

Algorithm

intervals

Results

183.0ms	141×	body	5120	exit
38.0ms	88×	body	1280	nan
17.0ms	63×	body	640	nan
16.0ms	256×	body	80	valid
7.0ms	40×	body	320	nan
1.0ms	6×	body	160	nan
0.0ms	7×	body	80	nan
0.0ms	3×	body	80	invalid
0.0ms	2×	body	80	overflowed

simplify85.0ms

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)))
2.0ms	(pow.f64 l (exp.f64 w))

series50.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
19.0ms	(pow.f64 l (exp.f64 w))

simplify39.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4938	478
1	4938	478

prune58.0ms

Filtered

34 candidates to 50 candidates (-47.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	43	7	50
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	45	7	52

Merged error: 0.1b

Counts

52 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

22×	`sqrt-pow1_binary64`
20×	`exp-prod_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `sqrt-div_binary64`
15×	`add-exp-log_binary64`
9×	`pow1_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64`
8×	`neg-sub0_binary64` `associate-*r/_binary64` `exp-diff_binary64` `exp-neg_binary64`
7×	`prod-exp_binary64`
6×	`distribute-lft-neg-in_binary64` `associate-l_binary64` `distribute-rgt-neg-in_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64`
3×	`pow-unpow_binary64` `cbrt-unprod_binary64` `unpow-prod-down_binary64`
2×	`pow-to-exp_binary64` `pow1/2_binary64` `neg-mul-1_binary64` `rem-sqrt-square_binary64` `pow-exp_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-r_binary64` `pow-pow_binary64` `sqr-pow_binary64` `*-commutative_binary64`

Counts

4 → 97

Calls

4 calls:

3.0ms	(sqrt.f64 (exp.f64 (neg.f64 w)))
3.0ms	(sqrt.f64 (exp.f64 (neg.f64 w)))
17.0ms	(.f64 (sqrt.f64 (exp.f64 (neg.f64 w))) (.f64 (pow.f64 l (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w)))))
3.0ms	(pow.f64 l (exp.f64 w))

series58.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sqrt.f64 (exp.f64 (neg.f64 w)))
6.0ms	(sqrt.f64 (exp.f64 (neg.f64 w)))
31.0ms	(.f64 (sqrt.f64 (exp.f64 (neg.f64 w))) (.f64 (pow.f64 l (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w)))))
15.0ms	(pow.f64 l (exp.f64 w))

simplify61.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4992	825
1	4992	825

prune89.0ms

Filtered

74 candidates to 109 candidates (-47.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	110	6	116

Merged error: 0.1b

Counts

116 → 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)))

rewrite24.0ms

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)))
4.0ms	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))

series107.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt.f64 (exp.f64 w))
50.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))))
18.0ms	(pow.f64 l (sqrt.f64 (exp.f64 w)))
35.0ms	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))

simplify47.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5102	1052

prune92.0ms

Filtered

72 candidates to 109 candidates (-51.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	108	7	115

Merged error: 0.1b

Counts

115 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (sqrt.f64 (exp.f64 w)))) (sqrt.f64 (sqrt.f64 (exp.f64 w)))))
0.2b	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (sqrt.f64 (exp.f64 w))))
0.3b	(pow.f64 l (sqrt.f64 (exp.f64 w)))
0.3b	(pow.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (sqrt.f64 (exp.f64 w)))) (sqrt.f64 (sqrt.f64 (exp.f64 w))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

64×	`unpow-prod-down_binary64`
34×	`add-sqr-sqrt_binary64`
24×	`pow-unpow_binary64`
23×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `pow-exp_binary64`
21×	`sqrt-prod_binary64`
15×	`associate-r_binary64`
14×	`add-exp-log_binary64`
12×	`sqr-pow_binary64`
9×	`pow-to-exp_binary64`
7×	`unswap-sqr_binary64` `prod-exp_binary64`
6×	`add-cbrt-cube_binary64`
5×	`pow1_binary64`
4×	`add-log-exp_binary64`
3×	`pow-pow_binary64` `associate-l_binary64`
2×	`associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `neg-sub0_binary64` `exp-diff_binary64` `exp-neg_binary64` `*-commutative_binary64`

Counts

4 → 127

Calls

4 calls:

14.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (sqrt.f64 (exp.f64 w)))) (sqrt.f64 (sqrt.f64 (exp.f64 w)))))
5.0ms	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (sqrt.f64 (exp.f64 w))))
3.0ms	(pow.f64 l (sqrt.f64 (exp.f64 w)))
7.0ms	(pow.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (sqrt.f64 (exp.f64 w)))) (sqrt.f64 (sqrt.f64 (exp.f64 w))))

series192.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (sqrt.f64 (exp.f64 w)))) (sqrt.f64 (sqrt.f64 (exp.f64 w)))))
37.0ms	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (sqrt.f64 (exp.f64 w))))
18.0ms	(pow.f64 l (sqrt.f64 (exp.f64 w)))
61.0ms	(pow.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (sqrt.f64 (exp.f64 w)))) (sqrt.f64 (sqrt.f64 (exp.f64 w))))

simplify67.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4936	1941
1	4936	1941

prune91.0ms

Filtered

89 candidates to 139 candidates (-56.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	137	2	139
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	139	7	146

Merged error: 0.1b

Counts

146 → 7

regimes95.0ms

Accuracy

0% (0.2b 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	20	16
1	20	16

end0.0ms

sample9.0s

Algorithm

intervals

Results

6.2s	4800×	body	5120	exit
1.1s	2513×	body	1280	nan
570.0ms	2086×	body	640	nan
499.0ms	8000×	body	80	valid
173.0ms	987×	body	320	nan
29.0ms	288×	body	160	nan
13.0ms	230×	body	80	nan
9.0ms	135×	body	80	overflowed
9.0ms	135×	body	80	invalid
3.0ms	3×	body	2560	nan
2.0ms	1×	body	5120	nan

Details

analyze851.0ms

sample278.0ms

simplify85.0ms

prune7.0ms

localize7.0ms

rewrite12.0ms

series50.0ms

simplify39.0ms

prune58.0ms

localize9.0ms

rewrite31.0ms

series58.0ms

simplify61.0ms

prune89.0ms

localize10.0ms

rewrite24.0ms

series107.0ms

simplify47.0ms

prune92.0ms

localize12.0ms

rewrite32.0ms

series192.0ms

simplify67.0ms

prune91.0ms

regimes95.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample9.0s

Profiling