Details

analyze889.0ms

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

sample282.0ms

Algorithm

intervals

Results

192.0ms	146×	body	5120	exit
26.0ms	58×	body	1280	nan
20.0ms	70×	body	640	nan
16.0ms	256×	body	80	valid
9.0ms	35×	body	320	nan
0.0ms	10×	body	80	nan
0.0ms	3×	body	160	nan
0.0ms	3×	body	80	overflowed
0.0ms	1×	body	80	invalid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4891	7
1	4891	7

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.3b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

series39.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
14.0ms	(pow.f64 l (exp.f64 w))

simplify53.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4937	433
1	4937	433

prune34.0ms

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	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	7	51

Merged error: 0.2b

Counts

51 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w))))
0.2b	(pow.f64 (sqrt.f64 l) (exp.f64 w))
0.2b	(pow.f64 (sqrt.f64 l) (exp.f64 w))
0.4b	(.f64 (.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w)))) (*.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w)))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-exp-log_binary64`
43×	`prod-exp_binary64`
29×	`add-sqr-sqrt_binary64`
22×	`unpow-prod-down_binary64`
18×	`add-cbrt-cube_binary64` `sqrt-prod_binary64`
16×	`associate-*r/_binary64`
15×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
14×	`sqrt-div_binary64`
11×	`pow-to-exp_binary64` `associate-l_binary64` `pow-exp_binary64`
9×	`cbrt-unprod_binary64`
8×	`unswap-sqr_binary64`
7×	`associate-r_binary64` `neg-sub0_binary64` `exp-diff_binary64` `exp-neg_binary64`
6×	`pow-unpow_binary64` `pow-pow_binary64`
5×	`sqr-pow_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `sqrt-pow2_binary64` `sqrt-pow1_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`pow-prod-down_binary64` `swap-sqr_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `pow-sqr_binary64` `pow2_binary64`

Counts

4 → 128

Calls

4 calls:

11.0ms	(*.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w))))
4.0ms	(pow.f64 (sqrt.f64 l) (exp.f64 w))
3.0ms	(pow.f64 (sqrt.f64 l) (exp.f64 w))
20.0ms	(.f64 (.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w)))) (*.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w)))))

series135.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(*.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w))))
22.0ms	(pow.f64 (sqrt.f64 l) (exp.f64 w))
23.0ms	(pow.f64 (sqrt.f64 l) (exp.f64 w))
53.0ms	(.f64 (.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w)))) (*.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w)))))

simplify42.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5045	1748

prune59.0ms

Filtered

79 candidates to 140 candidates (-77.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	137	3	140
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	138	9	147

Merged error: 0.1b

Counts

147 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w)))))
0.2b	(pow.f64 (sqrt.f64 l) (exp.f64 w))
0.2b	(pow.f64 (sqrt.f64 l) (exp.f64 w))
0.4b	(.f64 (.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w)))) (.f64 (.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w))))) (sqrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w))))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

94×	`sqrt-div_binary64`
85×	`add-exp-log_binary64`
66×	`prod-exp_binary64`
52×	`associate-*r/_binary64`
37×	`add-sqr-sqrt_binary64`
33×	`sqrt-prod_binary64`
28×	`neg-sub0_binary64` `exp-diff_binary64` `exp-neg_binary64` `frac-times_binary64`
27×	`add-cbrt-cube_binary64`
24×	`unpow-prod-down_binary64`
16×	`*-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64`
13×	`pow1_binary64`
12×	`pow-to-exp_binary64` `unswap-sqr_binary64` `pow-exp_binary64`
11×	`associate-l_binary64`
10×	`associate-r_binary64`
8×	`associate-*l/_binary64`
6×	`pow-unpow_binary64` `pow-pow_binary64` `sqr-pow_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64`
2×	`pow1/2_binary64` `sqrt-pow2_binary64` `sqrt-pow1_binary64` `*-commutative_binary64`

Counts

4 → 155

Calls

4 calls:

16.0ms	(*.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w)))))
3.0ms	(pow.f64 (sqrt.f64 l) (exp.f64 w))
4.0ms	(pow.f64 (sqrt.f64 l) (exp.f64 w))
31.0ms	(.f64 (.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w)))) (.f64 (.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w))))) (sqrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w))))))

series129.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(*.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w)))))
24.0ms	(pow.f64 (sqrt.f64 l) (exp.f64 w))
21.0ms	(pow.f64 (sqrt.f64 l) (exp.f64 w))
48.0ms	(.f64 (.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w)))) (.f64 (.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w))))) (sqrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w))))))

simplify46.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5238	2342

prune64.0ms

Filtered

82 candidates to 167 candidates (-103.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	165	2	167
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	167	9	176

Merged error: 0.1b

Counts

176 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))) (cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))))
0.4b	(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))
0.4b	(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))
0.4b	(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

215×	`cbrt-prod_binary64`
177×	`times-frac_binary64`
176×	`add-sqr-sqrt_binary64`
106×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
73×	`unpow-prod-down_binary64`
31×	`sqr-pow_binary64`
28×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
25×	`unswap-sqr_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
7×	`cbrt-div_binary64` `div-inv_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `associate-r/_binary64` `pow-plus_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 232

Calls

4 calls:

25.0ms	(*.f64 (cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))) (cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))))
5.0ms	(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))
5.0ms	(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))
5.0ms	(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))

series159.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(*.f64 (cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))) (cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))))
33.0ms	(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))
33.0ms	(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))
37.0ms	(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))

simplify62.0ms

Algorithm

egg-herbie

Counts

244 → 244

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5179	5047

prune102.0ms

Filtered

187 candidates to 244 candidates (-30.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	240	4	244
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	243	10	253

Merged error: 0.1b

Counts

253 → 10

regimes79.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.1b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	47
1	15	47

end0.0ms

sample8.8s

Algorithm

intervals

Results

6.1s	4790×	body	5120	exit
1.0s	2349×	body	1280	nan
559.0ms	2036×	body	640	nan
500.0ms	8000×	body	80	valid
175.0ms	1006×	body	320	nan
29.0ms	283×	body	160	nan
10.0ms	219×	body	80	nan
9.0ms	137×	body	80	overflowed
9.0ms	4×	body	5120	nan
6.0ms	94×	body	80	invalid
3.0ms	3×	body	2560	nan

Details

analyze889.0ms

sample282.0ms

simplify88.0ms

prune4.0ms

localize7.0ms

rewrite12.0ms

series39.0ms

simplify53.0ms

prune34.0ms

localize13.0ms

rewrite43.0ms

series135.0ms

simplify42.0ms

prune59.0ms

localize14.0ms

rewrite61.0ms

series129.0ms

simplify46.0ms

prune64.0ms

localize9.0ms

rewrite53.0ms

series159.0ms

simplify62.0ms

prune102.0ms

regimes79.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample8.8s

Profiling