Details

analyze759.0ms (4.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4997	22
1	4997	22
0	2	2
1	2	2

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample362.0ms (2.2%)

Algorithm

1×

intervals

Results

281.0ms	161×	body	8192	exit
37.0ms	120×	body	1024	nan
14.0ms	256×	body	128	valid
9.0ms	55×	body	512	nan
3.0ms	26×	body	256	nan
0.0ms	5×	body	128	invalid
0.0ms	7×	body	128	nan
0.0ms	2×	body	128	overflowed

Compiler

Compiled 17 to 17 computations (0% saved)

simplify103.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4896	11
1	4896	11

prune3.0ms (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

Error

0.3b

Counts

2 → 2

Compiler

Compiled 22 to 17 computations (22.7% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
0.3b	(pow.f64 l (exp.f64 w))

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`times-frac_binary64_766`
20×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
15×	`unpow-prod-down_binary64_839`
7×	`associate-/l*_binary64_705`
5×	`add-exp-log_binary64_798` `sqr-pow_binary64_732`
4×	`add-cbrt-cube_binary64_796`
3×	`associate-/r*_binary64_704` `div-exp_binary64_811` `pow1_binary64_821` `pow-unpow_binary64_837`
2×	`add-log-exp_binary64_799` `pow-exp_binary64_828` `pow-to-exp_binary64_829`
1×	`frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `div-inv_binary64_757` `clear-num_binary64_759` `pow-pow_binary64_832`

Counts

2 → 62

Calls

2 calls:

5.0ms	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
3.0ms	(pow.f64 l (exp.f64 w))

series157.0ms (1%)

Counts

2 → 6

Calls

2 calls:

93.0ms	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
64.0ms	(pow.f64 l (exp.f64 w))

simplify96.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4959	1218
1	4959	1218

prune55.0ms (0.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	62	6	68
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	64	6	70

Error

0.1b

Counts

70 → 6

Compiler

Compiled 1074 to 279 computations (74% saved)

localize7.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 w))
0.0b	(/.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))) (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)))

rewrite29.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

53×	`unpow-prod-down_binary64_839`
38×	`add-sqr-sqrt_binary64_782`
37×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
33×	`times-frac_binary64_766`
12×	`pow-unpow_binary64_837`
11×	`associate-/l*_binary64_705` `sqr-pow_binary64_732`
10×	`add-exp-log_binary64_798`
9×	`sqrt-prod_binary64_776` `pow-exp_binary64_828`
6×	`add-cbrt-cube_binary64_796` `pow1_binary64_821`
5×	`pow-to-exp_binary64_829` `div-exp_binary64_811`
4×	`sqrt-pow1_binary64_778` `add-log-exp_binary64_799`
3×	`exp-prod_binary64_812` `associate-/r*_binary64_704`
2×	`pow-pow_binary64_832`
1×	`rem-sqrt-square_binary64_773` `frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `div-inv_binary64_757` `pow1/2_binary64_840` `clear-num_binary64_759`

Counts

4 → 125

Calls

4 calls:

10.0ms	(/.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))) (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)))
2.0ms	(sqrt.f64 (exp.f64 w))

series481.0ms (3%)

Counts

4 → 12

Calls

4 calls:

225.0ms	(/.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))) (exp.f64 w))
172.0ms	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))
71.0ms	(pow.f64 l (sqrt.f64 (exp.f64 w)))
13.0ms	(sqrt.f64 (exp.f64 w))

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4976	3283
1	4976	3283

prune109.0ms (0.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	134	3	137
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	136	7	143

Error

0.1b

Counts

143 → 7

Compiler

Compiled 2945 to 607 computations (79.4% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite36.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

53×	`unpow-prod-down_binary64_839`
43×	`add-sqr-sqrt_binary64_782`
37×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
33×	`times-frac_binary64_766`
12×	`add-exp-log_binary64_798`
11×	`sqrt-prod_binary64_776` `associate-/l*_binary64_705` `sqr-pow_binary64_732`
9×	`pow-exp_binary64_828` `associate-r_binary64_700`
8×	`add-cbrt-cube_binary64_796`
7×	`pow1_binary64_821` `pow-unpow_binary64_837`
5×	`pow-to-exp_binary64_829` `div-exp_binary64_811`
4×	`add-log-exp_binary64_799` `cbrt-prod_binary64_791`
3×	`unswap-sqr_binary64_728` `associate-/r_binary64_704` `associate-l*_binary64_701`
2×	`pow-pow_binary64_832`
1×	`frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `prod-exp_binary64_809` `div-inv_binary64_757` `cbrt-unprod_binary64_793` `clear-num_binary64_759` `pow-prod-down_binary64_831` `*-commutative_binary64_691`

Counts

4 → 130

Calls

4 calls:

7.0ms	(/.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (*.f64 (fabs.f64 (cbrt.f64 (exp.f64 w))) (sqrt.f64 (cbrt.f64 (exp.f64 w))))) (exp.f64 w))
7.0ms	(*.f64 (fabs.f64 (cbrt.f64 (exp.f64 w))) (sqrt.f64 (cbrt.f64 (exp.f64 w))))
3.0ms	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (*.f64 (fabs.f64 (cbrt.f64 (exp.f64 w))) (sqrt.f64 (cbrt.f64 (exp.f64 w)))))
3.0ms	(pow.f64 l (sqrt.f64 (exp.f64 w)))

series743.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

337.0ms	(/.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (*.f64 (fabs.f64 (cbrt.f64 (exp.f64 w))) (sqrt.f64 (cbrt.f64 (exp.f64 w))))) (exp.f64 w))
246.0ms	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (*.f64 (fabs.f64 (cbrt.f64 (exp.f64 w))) (sqrt.f64 (cbrt.f64 (exp.f64 w)))))
83.0ms	(*.f64 (fabs.f64 (cbrt.f64 (exp.f64 w))) (sqrt.f64 (cbrt.f64 (exp.f64 w))))
77.0ms	(pow.f64 l (sqrt.f64 (exp.f64 w)))

simplify76.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5345	5150

prune148.0ms (0.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	140	2	142
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	141	8	149

Error

0.1b

Counts

149 → 8

Compiler

Compiled 4356 to 721 computations (83.4% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite46.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

118×	`unpow-prod-down_binary64_839`
48×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
45×	`times-frac_binary64_766`
23×	`pow-exp_binary64_828`
19×	`pow-unpow_binary64_837`
18×	`sqrt-prod_binary64_776` `sqr-pow_binary64_732`
15×	`associate-/l*_binary64_705`
14×	`add-exp-log_binary64_798`
9×	`pow-to-exp_binary64_829`
7×	`div-exp_binary64_811`
6×	`add-cbrt-cube_binary64_796`
5×	`pow1_binary64_821`
4×	`add-log-exp_binary64_799`
3×	`associate-/r*_binary64_704` `pow-pow_binary64_832`
1×	`frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `div-inv_binary64_757` `clear-num_binary64_759`

Counts

4 → 160

Calls

4 calls:

10.0ms	(/.f64 (pow.f64 (pow.f64 (pow.f64 l (sqrt.f64 (sqrt.f64 (exp.f64 w)))) (sqrt.f64 (sqrt.f64 (exp.f64 w)))) (*.f64 (fabs.f64 (cbrt.f64 (exp.f64 w))) (sqrt.f64 (cbrt.f64 (exp.f64 w))))) (exp.f64 w))
5.0ms	(pow.f64 (pow.f64 (pow.f64 l (sqrt.f64 (sqrt.f64 (exp.f64 w)))) (sqrt.f64 (sqrt.f64 (exp.f64 w)))) (*.f64 (fabs.f64 (cbrt.f64 (exp.f64 w))) (sqrt.f64 (cbrt.f64 (exp.f64 w)))))
4.0ms	(pow.f64 (pow.f64 l (sqrt.f64 (sqrt.f64 (exp.f64 w)))) (sqrt.f64 (sqrt.f64 (exp.f64 w))))
3.0ms	(pow.f64 l (sqrt.f64 (sqrt.f64 (exp.f64 w))))

series1.4s (8.8%)

Counts

4 → 12

Calls

4 calls:

597.0ms	(/.f64 (pow.f64 (pow.f64 (pow.f64 l (sqrt.f64 (sqrt.f64 (exp.f64 w)))) (sqrt.f64 (sqrt.f64 (exp.f64 w)))) (*.f64 (fabs.f64 (cbrt.f64 (exp.f64 w))) (sqrt.f64 (cbrt.f64 (exp.f64 w))))) (exp.f64 w))
494.0ms	(pow.f64 (pow.f64 (pow.f64 l (sqrt.f64 (sqrt.f64 (exp.f64 w)))) (sqrt.f64 (sqrt.f64 (exp.f64 w)))) (*.f64 (fabs.f64 (cbrt.f64 (exp.f64 w))) (sqrt.f64 (cbrt.f64 (exp.f64 w)))))
231.0ms	(pow.f64 (pow.f64 l (sqrt.f64 (sqrt.f64 (exp.f64 w)))) (sqrt.f64 (sqrt.f64 (exp.f64 w))))
100.0ms	(pow.f64 l (sqrt.f64 (sqrt.f64 (exp.f64 w))))

simplify106.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5485	8503

prune188.0ms (1.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	170	2	172
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	172	8	180

Error

0.1b

Counts

180 → 8

Compiler

Compiled 6643 to 833 computations (87.5% saved)

regimes140.0ms (0.9%)

Accuracy

Total 0.2b remaining (64.3%)

Threshold costs 0.2b (64.3%)

Compiler

Compiled 1610 to 838 computations (48% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	6	11

end0.0ms (0%)

sample10.9s (67.8%)

Algorithm

1×

intervals

Results

8.2s	4799×	body	8192	exit
1.0s	3230×	body	1024	nan
426.0ms	8000×	body	128	valid
272.0ms	1620×	body	512	nan
83.0ms	834×	body	256	nan
14.0ms	324×	body	128	nan
8.0ms	134×	body	128	overflowed
6.0ms	115×	body	128	invalid
5.0ms	2×	body	8192	nan
3.0ms	2×	body	4096	nan
2.0ms	3×	body	2048	nan

Compiler

Compiled 546 to 287 computations (47.4% saved)

Details

analyze759.0ms (4.7%)

sample362.0ms (2.2%)

simplify103.0ms (0.6%)

prune3.0ms (0%)

localize5.0ms (0%)

rewrite12.0ms (0.1%)

series157.0ms (1%)

simplify96.0ms (0.6%)

prune55.0ms (0.3%)

localize7.0ms (0%)

rewrite29.0ms (0.2%)

series481.0ms (3%)

simplify80.0ms (0.5%)

prune109.0ms (0.7%)

localize11.0ms (0.1%)

rewrite36.0ms (0.2%)

series743.0ms (4.6%)

simplify76.0ms (0.5%)

prune148.0ms (0.9%)

localize14.0ms (0.1%)

rewrite46.0ms (0.3%)

series1.4s (8.8%)

simplify106.0ms (0.7%)

prune188.0ms (1.2%)

regimes140.0ms (0.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample10.9s (67.8%)

Profiling