Details

analyze620.0ms (4.1%)

Algorithm

1×

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)

sample284.0ms (1.9%)

Algorithm

1×

intervals

Results

212.0ms	123×	body	8192	exit
31.0ms	96×	body	1024	nan
14.0ms	256×	body	128	valid
8.0ms	49×	body	512	nan
2.0ms	21×	body	256	nan
0.0ms	5×	body	128	nan
0.0ms	3×	body	128	overflowed
0.0ms	2×	body	128	invalid

Compiler

Compiled 17 to 17 computations (0% saved)

simplify187.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4896	11
1	4896	11

prune3.0ms (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: 0.2b

Counts

2 → 1

Compiler

Compiled 15 to 12 computations (20% saved)

localize6.0ms (0%)

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))

rewrite13.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_782`
7×	`-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `associate-r*_binary64_700` `unpow-prod-down_binary64_839`
5×	`add-exp-log_binary64_798`
4×	`add-cbrt-cube_binary64_796`
3×	`unswap-sqr_binary64_728` `prod-exp_binary64_809` `associate-l_binary64_701` `sqr-pow_binary64_732` `pow1_binary64_821` `pow-unpow_binary64_837`
2×	`associate-*l/_binary64_703` `add-log-exp_binary64_799` `pow-exp_binary64_828` `pow-to-exp_binary64_829`
1×	`exp-diff_binary64_808` `neg-sub0_binary64_755` `exp-neg_binary64_807` `cbrt-unprod_binary64_793` `*-commutative_binary64_691` `pow-pow_binary64_832`

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))

series147.0ms (1%)

Counts

2 → 6

Calls

2 calls:

89.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
58.0ms	(pow.f64 l (exp.f64 w))

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5142	685

prune42.0ms (0.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	46	4	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	4	51

Merged error: 0.0b

Counts

51 → 4

Compiler

Compiled 726 to 189 computations (74% saved)

localize9.0ms (0.1%)

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)))

rewrite27.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`unpow-prod-down_binary64_839`
26×	`add-sqr-sqrt_binary64_782`
17×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
12×	`pow-unpow_binary64_837`
11×	`associate-r_binary64_700`
10×	`add-exp-log_binary64_798`
9×	`sqrt-prod_binary64_776` `pow-exp_binary64_828`
7×	`sqr-pow_binary64_732`
6×	`add-cbrt-cube_binary64_796` `pow1_binary64_821`
5×	`unswap-sqr_binary64_728` `prod-exp_binary64_809` `pow-to-exp_binary64_829`
4×	`sqrt-pow1_binary64_778` `add-log-exp_binary64_799`
3×	`exp-prod_binary64_812` `associate-l_binary64_701`
2×	`associate-*l/_binary64_703` `pow-pow_binary64_832`
1×	`rem-sqrt-square_binary64_773` `exp-diff_binary64_808` `neg-sub0_binary64_755` `exp-neg_binary64_807` `cbrt-unprod_binary64_793` `pow1/2_binary64_840` `*-commutative_binary64_691`

Counts

4 → 97

Calls

4 calls:

11.0ms	(*.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)))
2.0ms	(sqrt.f64 (exp.f64 w))

series664.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

361.0ms	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))
217.0ms	(*.f64 (exp.f64 (neg.f64 w)) (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)))
13.0ms	(sqrt.f64 (exp.f64 w))

simplify107.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4950	1987
1	4950	1987

prune82.0ms (0.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	109	4	113

Merged error: 0.0b

Counts

113 → 4

Compiler

Compiled 2147 to 417 computations (80.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite51.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`cbrt-div_binary64_792`
45×	`add-exp-log_binary64_798`
33×	`exp-diff_binary64_808` `neg-sub0_binary64_755` `exp-neg_binary64_807`
32×	`frac-times_binary64_770`
29×	`prod-exp_binary64_809`
28×	`associate-*r/_binary64_702`
27×	`add-sqr-sqrt_binary64_782`
19×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
17×	`pow1_binary64_821`
16×	`associate-*l/_binary64_703` `cbrt-prod_binary64_791`
13×	`pow-exp_binary64_828` `unpow-prod-down_binary64_839`
12×	`pow-unpow_binary64_837`
10×	`add-cbrt-cube_binary64_796`
9×	`cbrt-unprod_binary64_793`
7×	`pow-to-exp_binary64_829` `associate-r_binary64_700` `associate-l_binary64_701`
6×	`pow1/3_binary64_842` `sqrt-prod_binary64_776` `swap-sqr_binary64_727`
5×	`pow-prod-down_binary64_831`
4×	`unswap-sqr_binary64_728` `add-log-exp_binary64_799`
3×	`sqr-pow_binary64_732`
2×	`pow-sqr_binary64_733` `pow-prod-up_binary64_830` `*-commutative_binary64_691` `pow-pow_binary64_832`
1×	`pow2_binary64_841` `pow-plus_binary64_823`

Counts

4 → 148

Calls

4 calls:

16.0ms	(.f64 (.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (cbrt.f64 (exp.f64 (neg.f64 w)))) (*.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))) (cbrt.f64 (exp.f64 (neg.f64 w)))))
8.0ms	(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (cbrt.f64 (exp.f64 (neg.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)))

series561.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

225.0ms	(.f64 (.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (cbrt.f64 (exp.f64 (neg.f64 w)))) (*.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))) (cbrt.f64 (exp.f64 (neg.f64 w)))))
161.0ms	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))
97.0ms	(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (cbrt.f64 (exp.f64 (neg.f64 w))))
78.0ms	(pow.f64 l (sqrt.f64 (exp.f64 w)))

simplify84.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4964	3100
1	4964	3100

prune134.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	160	4	164

Merged error: 0.0b

Counts

164 → 4

Compiler

Compiled 4041 to 722 computations (82.1% saved)

localize8.0ms (0.1%)

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))))
0.5b	(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))
0.5b	(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))
0.5b	(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))

rewrite82.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

215×	`cbrt-prod_binary64_791`
177×	`times-frac_binary64_766`
176×	`add-sqr-sqrt_binary64_782`
106×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
73×	`unpow-prod-down_binary64_839`
31×	`sqr-pow_binary64_732`
28×	`swap-sqr_binary64_727` `associate-r_binary64_700` `associate-l_binary64_701`
25×	`unswap-sqr_binary64_728`
11×	`pow1_binary64_821`
9×	`pow1/3_binary64_842`
7×	`div-inv_binary64_757` `cbrt-div_binary64_792`
6×	`add-exp-log_binary64_798`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
2×	`pow-sqr_binary64_733` `pow-prod-up_binary64_830` `pow-prod-down_binary64_831`
1×	`pow2_binary64_841` `associate-l/_binary64_703` `prod-exp_binary64_809` `pow-plus_binary64_823` `frac-times_binary64_770` `associate-r/_binary64_702` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`

Counts

4 → 232

Calls

4 calls:

32.0ms	(*.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)))

series776.0ms (5.1%)

Counts

4 → 12

Calls

4 calls:

285.0ms	(*.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))))
169.0ms	(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))
162.0ms	(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))
161.0ms	(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))

simplify133.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

244 → 244

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5014	8323

prune244.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	242	2	244
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	244	4	248

Merged error: 0.0b

Counts

248 → 4

Compiler

Compiled 9167 to 1364 computations (85.1% saved)

regimes135.0ms (0.9%)

Compiler: Compiled 1601 to 853 computations (46.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	13
1	16	13

end0.0ms (0%)

sample10.8s (70.7%)

Algorithm

1×

intervals

Results

8.0s	4704×	body	8192	exit
1.0s	3265×	body	1024	nan
436.0ms	8000×	body	128	valid
276.0ms	1649×	body	512	nan
84.0ms	850×	body	256	nan
13.0ms	307×	body	128	nan
10.0ms	145×	body	128	overflowed
7.0ms	123×	body	128	invalid
5.0ms	11×	body	2048	nan

Compiler

Compiled 544 to 294 computations (46% saved)

Details

analyze620.0ms (4.1%)

sample284.0ms (1.9%)

simplify187.0ms (1.2%)

prune3.0ms (0%)

localize6.0ms (0%)

rewrite13.0ms (0.1%)

series147.0ms (1%)

simplify48.0ms (0.3%)

prune42.0ms (0.3%)

localize9.0ms (0.1%)

rewrite27.0ms (0.2%)

series664.0ms (4.4%)

simplify107.0ms (0.7%)

prune82.0ms (0.5%)

localize12.0ms (0.1%)

rewrite51.0ms (0.3%)

series561.0ms (3.7%)

simplify84.0ms (0.6%)

prune134.0ms (0.9%)

localize8.0ms (0.1%)

rewrite82.0ms (0.5%)

series776.0ms (5.1%)

simplify133.0ms (0.9%)

prune244.0ms (1.6%)

regimes135.0ms (0.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample10.8s (70.7%)

Profiling