Details

analyze681.0ms

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

sample252.0ms

Algorithm

intervals

Results

156.0ms	123×	body	5120	exit
30.0ms	71×	body	1280	nan
20.0ms	70×	body	640	nan
17.0ms	256×	body	80	valid
6.0ms	34×	body	320	nan
1.0ms	10×	body	160	nan
0.0ms	4×	body	80	invalid
0.0ms	4×	body	80	overflowed
0.0ms	2×	body	80	nan

simplify151.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (142.0ms)

Iter	Nodes	Cost
0	4817	11
1	4817	11

prune20.0ms

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

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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:

12.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
2.0ms	(pow.f64 l (exp.f64 w))

series149.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
58.0ms	(pow.f64 l (exp.f64 w))

simplify82.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4952	707
1	4952	707

prune200.0ms

Filtered

35 candidates to 50 candidates (-42.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	49	3	52

Merged error: 0.1b

Counts

52 → 3

localize16.0ms

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))))
0.2b	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))
0.2b	(pow.f64 l (sqrt.f64 (exp.f64 w)))

rewrite28.0ms

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))
16.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))))
4.0ms	(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)))

series374.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt.f64 (exp.f64 w))
163.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))))
125.0ms	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))
73.0ms	(pow.f64 l (sqrt.f64 (exp.f64 w)))

simplify95.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5038	1916

prune412.0ms

Filtered

74 candidates to 109 candidates (-47.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	107	5	112

Merged error: 0.1b

Counts

112 → 5

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 w) (cbrt.f64 w))
0.6b	(cbrt.f64 w)
0.6b	(cbrt.f64 w)
0.6b	(cbrt.f64 w)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 w) (cbrt.f64 w))
1.0ms	(cbrt.f64 w)
1.0ms	(cbrt.f64 w)
1.0ms	(cbrt.f64 w)

series367.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(*.f64 (cbrt.f64 w) (cbrt.f64 w))
88.0ms	(cbrt.f64 w)
84.0ms	(cbrt.f64 w)
93.0ms	(cbrt.f64 w)

simplify76.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5309	608

prune371.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	85	5	90

Merged error: 0.1b

Counts

90 → 5

localize20.0ms

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 (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))))
0.2b	(pow.f64 l (sqrt.f64 (exp.f64 w)))

rewrite37.0ms

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:

13.0ms	(*.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)))))
6.0ms	(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))))
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)))

series735.0ms

Counts

4 → 12

Calls

4 calls:

268.0ms	(*.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)))))
237.0ms	(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))))
145.0ms	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (sqrt.f64 (exp.f64 w))))
85.0ms	(pow.f64 l (sqrt.f64 (exp.f64 w)))

simplify94.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5699	3810

prune498.0ms

Filtered

89 candidates to 139 candidates (-56.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	139	5	144

Merged error: 0.1b

Counts

144 → 5

regimes169.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	35
1	24	35

end0.0ms

sample8.7s

Algorithm

intervals

Results

6.0s	4602×	body	5120	exit
1.0s	2435×	body	1280	nan
556.0ms	2075×	body	640	nan
507.0ms	8000×	body	80	valid
176.0ms	1042×	body	320	nan
35.0ms	355×	body	160	nan
12.0ms	232×	body	80	nan
8.0ms	147×	body	80	overflowed
6.0ms	93×	body	80	invalid
3.0ms	3×	body	2560	nan
2.0ms	1×	body	5120	nan

Details

analyze681.0ms

sample252.0ms

simplify151.0ms

prune20.0ms

localize11.0ms

rewrite16.0ms

series149.0ms

simplify82.0ms

prune200.0ms

localize16.0ms

rewrite28.0ms

series374.0ms

simplify95.0ms

prune412.0ms

localize27.0ms

rewrite11.0ms

series367.0ms

simplify76.0ms

prune371.0ms

localize20.0ms

rewrite37.0ms

series735.0ms

simplify94.0ms

prune498.0ms

regimes169.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample8.7s

Profiling