Details

analyze619.0ms (3.9%)

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)

sample330.0ms (2.1%)

Algorithm

1×

intervals

Results

254.0ms	145×	body	8192	exit
33.0ms	106×	body	1024	nan
14.0ms	256×	body	128	valid
9.0ms	54×	body	512	nan
2.0ms	25×	body	256	nan
0.0ms	9×	body	128	nan
0.0ms	3×	body	128	invalid
0.0ms	3×	body	128	overflowed

Compiler

Compiled 17 to 17 computations (0% saved)

simplify188.0ms (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

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: 0.4b

Counts

2 → 2

Compiler

Compiled 22 to 17 computations (22.7% 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)))
0.4b	(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 (0.9%)

Counts

2 → 6

Calls

2 calls:

88.0ms	(*.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

prune47.0ms (0.3%)

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

Compiler

Compiled 788 to 220 computations (72.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 l (.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))) (cbrt.f64 (exp.f64 w))))
0.0b	(*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))
0.3b	(pow.f64 l (*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
0.4b	(pow.f64 (pow.f64 l (*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))) (cbrt.f64 (exp.f64 w)))

rewrite34.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-sqr-sqrt_binary64_782`
27×	`unpow-prod-down_binary64_839`
21×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
19×	`cbrt-prod_binary64_791`
17×	`associate-r_binary64_700`
12×	`add-exp-log_binary64_798` `pow1_binary64_821`
9×	`unswap-sqr_binary64_728` `pow-exp_binary64_828` `associate-l_binary64_701`
7×	`sqr-pow_binary64_732` `pow-unpow_binary64_837`
6×	`pow1/3_binary64_842` `prod-exp_binary64_809` `add-cbrt-cube_binary64_796` `swap-sqr_binary64_727`
5×	`pow-to-exp_binary64_829`
4×	`add-log-exp_binary64_799`
2×	`associate-l/_binary64_703` `pow-sqr_binary64_733` `cbrt-unprod_binary64_793` `pow-prod-up_binary64_830` `pow-prod-down_binary64_831` `-commutative_binary64_691` `pow-pow_binary64_832`
1×	`pow2_binary64_841` `exp-diff_binary64_808` `pow-plus_binary64_823` `neg-sub0_binary64_755` `exp-neg_binary64_807`

Counts

4 → 116

Calls

4 calls:

11.0ms	(.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 l (.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))) (cbrt.f64 (exp.f64 w))))
7.0ms	(*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))
4.0ms	(pow.f64 (pow.f64 l (*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))) (cbrt.f64 (exp.f64 w)))
2.0ms	(pow.f64 l (*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w))))

series830.0ms (5.3%)

Counts

4 → 12

Calls

4 calls:

315.0ms	(.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 l (.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))) (cbrt.f64 (exp.f64 w))))
290.0ms	(pow.f64 (pow.f64 l (*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))) (cbrt.f64 (exp.f64 w)))
130.0ms	(pow.f64 l (*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
94.0ms	(*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))

simplify92.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4955	2380
1	4955	2380

prune138.0ms (0.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	125	3	128
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	127	8	135

Merged error: 0.1b

Counts

135 → 8

Compiler

Compiled 2877 to 1024 computations (64.4% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (cbrt.f64 (exp.f64 w)))
0.3b	(pow.f64 l (pow.f64 (exp.f64 w) 2/3))
0.4b	(pow.f64 (pow.f64 l (pow.f64 (exp.f64 w) 2/3)) (sqrt.f64 (cbrt.f64 (exp.f64 w))))
0.4b	(pow.f64 (pow.f64 (pow.f64 l (pow.f64 (exp.f64 w) 2/3)) (sqrt.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w))))

rewrite26.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`unpow-prod-down_binary64_839`
25×	`pow-unpow_binary64_837`
22×	`add-sqr-sqrt_binary64_782`
20×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
18×	`sqrt-prod_binary64_776`
14×	`pow-exp_binary64_828`
10×	`add-exp-log_binary64_798` `cbrt-prod_binary64_791`
7×	`sqr-pow_binary64_732`
6×	`pow-to-exp_binary64_829` `pow1_binary64_821`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
3×	`pow-pow_binary64_832`
2×	`rem-sqrt-square_binary64_773` `sqrt-pow1_binary64_778`
1×	`pow1/3_binary64_842` `pow1/2_binary64_840`

Counts

4 → 103

Calls

4 calls:

7.0ms	(pow.f64 (pow.f64 (pow.f64 l (pow.f64 (exp.f64 w) 2/3)) (sqrt.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w))))
5.0ms	(pow.f64 (pow.f64 l (pow.f64 (exp.f64 w) 2/3)) (sqrt.f64 (cbrt.f64 (exp.f64 w))))
3.0ms	(pow.f64 l (pow.f64 (exp.f64 w) 2/3))
2.0ms	(sqrt.f64 (cbrt.f64 (exp.f64 w)))

series885.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

447.0ms	(pow.f64 (pow.f64 (pow.f64 l (pow.f64 (exp.f64 w) 2/3)) (sqrt.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w))))
267.0ms	(pow.f64 (pow.f64 l (pow.f64 (exp.f64 w) 2/3)) (sqrt.f64 (cbrt.f64 (exp.f64 w))))
108.0ms	(pow.f64 l (pow.f64 (exp.f64 w) 2/3))
63.0ms	(sqrt.f64 (cbrt.f64 (exp.f64 w)))

simplify55.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5645	2698

prune150.0ms (1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	110	5	115
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	115	8	123

Merged error: 0.1b

Counts

123 → 8

Compiler

Compiled 3332 to 1233 computations (63% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (cbrt.f64 (exp.f64 w)))
0.0b	(sqrt.f64 (cbrt.f64 (exp.f64 w)))
0.4b	(pow.f64 l (*.f64 (pow.f64 (exp.f64 w) 2/3) (sqrt.f64 (cbrt.f64 (exp.f64 w)))))
0.4b	(pow.f64 (pow.f64 l (*.f64 (pow.f64 (exp.f64 w) 2/3) (sqrt.f64 (cbrt.f64 (exp.f64 w))))) (sqrt.f64 (cbrt.f64 (exp.f64 w))))

rewrite18.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`sqrt-prod_binary64_776` `add-sqr-sqrt_binary64_782`
14×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
13×	`unpow-prod-down_binary64_839`
11×	`cbrt-prod_binary64_791`
10×	`pow-unpow_binary64_837`
7×	`add-exp-log_binary64_798` `pow1_binary64_821`
5×	`pow-exp_binary64_828`
4×	`rem-sqrt-square_binary64_773` `sqrt-pow1_binary64_778` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
3×	`pow-to-exp_binary64_829` `sqr-pow_binary64_732`
2×	`pow1/3_binary64_842` `pow1/2_binary64_840` `pow-pow_binary64_832`

Counts

4 → 80

Calls

4 calls:

5.0ms	(pow.f64 (pow.f64 l (*.f64 (pow.f64 (exp.f64 w) 2/3) (sqrt.f64 (cbrt.f64 (exp.f64 w))))) (sqrt.f64 (cbrt.f64 (exp.f64 w))))
2.0ms	(sqrt.f64 (cbrt.f64 (exp.f64 w)))
2.0ms	(sqrt.f64 (cbrt.f64 (exp.f64 w)))
2.0ms	(pow.f64 l (*.f64 (pow.f64 (exp.f64 w) 2/3) (sqrt.f64 (cbrt.f64 (exp.f64 w)))))

series578.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

308.0ms	(pow.f64 (pow.f64 l (*.f64 (pow.f64 (exp.f64 w) 2/3) (sqrt.f64 (cbrt.f64 (exp.f64 w))))) (sqrt.f64 (cbrt.f64 (exp.f64 w))))
148.0ms	(pow.f64 l (*.f64 (pow.f64 (exp.f64 w) 2/3) (sqrt.f64 (cbrt.f64 (exp.f64 w)))))
62.0ms	(sqrt.f64 (cbrt.f64 (exp.f64 w)))
59.0ms	(sqrt.f64 (cbrt.f64 (exp.f64 w)))

simplify95.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4898	1640
1	4898	1640

prune100.0ms (0.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	92	8	100

Merged error: 0.1b

Counts

100 → 8

Compiler

Compiled 2186 to 771 computations (64.7% saved)

regimes439.0ms (2.8%)

Compiler: Compiled 3011 to 1849 computations (38.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	33
1	25	33

end0.0ms (0%)

sample10.9s (69%)

Algorithm

1×

intervals

Results

7.8s	4602×	body	8192	exit
956.0ms	3130×	body	1024	nan
427.0ms	8000×	body	128	valid
268.0ms	1619×	body	512	nan
81.0ms	824×	body	256	nan
16.0ms	373×	body	128	nan
9.0ms	144×	body	128	overflowed
7.0ms	123×	body	128	invalid
5.0ms	2×	body	8192	nan
4.0ms	7×	body	2048	nan
3.0ms	2×	body	4096	nan

Compiler

Compiled 1026 to 634 computations (38.2% saved)

Details

analyze619.0ms (3.9%)

sample330.0ms (2.1%)

simplify188.0ms (1.2%)

prune3.0ms (0%)

localize6.0ms (0%)

rewrite13.0ms (0.1%)

series147.0ms (0.9%)

simplify48.0ms (0.3%)

prune47.0ms (0.3%)

localize11.0ms (0.1%)

rewrite34.0ms (0.2%)

series830.0ms (5.3%)

simplify92.0ms (0.6%)

prune138.0ms (0.9%)

localize14.0ms (0.1%)

rewrite26.0ms (0.2%)

series885.0ms (5.6%)

simplify55.0ms (0.3%)

prune150.0ms (1%)

localize14.0ms (0.1%)

rewrite18.0ms (0.1%)

series578.0ms (3.7%)

simplify95.0ms (0.6%)

prune100.0ms (0.6%)

regimes439.0ms (2.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample10.9s (69%)

Profiling