Details

analyze1.5s (16.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.2%	98.5%	0.3%	13
1.8%	97.9%	0.3%	14

Compiler

Compiled 18 to 18 computations (0% saved)

sample40.0ms (0.4%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
7.0ms	127×	body	128	invalid

Compiler

Compiled 35 to 42 computations (-20% saved)

simplify167.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	937	25
1	937	25

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: 0.0b

Counts

2 → 1

Compiler

Compiled 34 to 34 computations (0% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
0.0b	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
0.0b	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))

rewrite34.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-log-exp_binary64_3868`
14×	`cancel-sign-sub-inv_binary64_3795` `*-un-lft-identity_binary64_3829`
9×	`add-sqr-sqrt_binary64_3851` `associate-+l+_binary64_3762`
7×	`add-cube-cbrt_binary64_3864`
6×	`times-frac_binary64_3835` `sum-log_binary64_3920`
4×	`diff-log_binary64_3921`
3×	`flip3-+_binary64_3832` `add-exp-log_binary64_3867` `flip-+_binary64_3803` `add-cbrt-cube_binary64_3865` `pow1_binary64_3890`
2×	`div-inv_binary64_3826` `distribute-lft-out--_binary64_3781` `distribute-lft-out_binary64_3780` `+-commutative_binary64_3759` `frac-sub_binary64_3838` `sub-neg_binary64_3822` `associate--l+_binary64_3766`
1×	`flip--_binary64_3804` `associate-+l-_binary64_3764` `flip3--_binary64_3833` `difference-of-squares_binary64_3798`

Counts

3 → 60

Calls

3 calls:

13.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
10.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
5.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))

series1.2s (12.6%)

Counts

3 → 102

Calls

3 calls:

521.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
459.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
188.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))

Compiler

Compiled 2187 to 2356 computations (-7.7% saved)

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4992	3086
1	4992	3086

prune143.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	158	4	162
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	158	5	163

Merged error: 0.0b

Counts

163 → 5

Compiler

Compiled 2986 to 1353 computations (54.7% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 a (*.f64 (cbrt.f64 4) (cbrt.f64 4)))
0.3b	(.f64 (/.f64 a (.f64 (cbrt.f64 4) (cbrt.f64 4))) (/.f64 b (cbrt.f64 4)))
0.4b	(/.f64 b (cbrt.f64 4))
1.0b	(*.f64 (cbrt.f64 4) (cbrt.f64 4))

rewrite53.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

68×	`add-sqr-sqrt_binary64_3851`
49×	`times-frac_binary64_3835`
44×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
39×	`cbrt-prod_binary64_3860`
34×	`add-exp-log_binary64_3867`
28×	`associate-r_binary64_3769`
22×	`add-cbrt-cube_binary64_3865`
13×	`pow1_binary64_3890` `associate-l_binary64_3770`
10×	`div-exp_binary64_3880` `unswap-sqr_binary64_3797` `prod-exp_binary64_3878` `cbrt-undiv_binary64_3863` `cbrt-unprod_binary64_3862`
7×	`associate-/r*_binary64_3773`
6×	`swap-sqr_binary64_3796` `pow1/3_binary64_3911` `associate-/l*_binary64_3774`
4×	`add-log-exp_binary64_3868` `div-inv_binary64_3826`
3×	`pow-prod-down_binary64_3900`
2×	`pow-prod-up_binary64_3899` `clear-num_binary64_3828` `pow-sqr_binary64_3802` `*-commutative_binary64_3760` `frac-2neg_binary64_3840`
1×	`frac-times_binary64_3839` `associate-l/_binary64_3772` `associate-r/_binary64_3771` `pow-plus_binary64_3892` `pow2_binary64_3910`

Counts

4 → 159

Calls

4 calls:

15.0ms	(.f64 (/.f64 a (.f64 (cbrt.f64 4) (cbrt.f64 4))) (/.f64 b (cbrt.f64 4)))
6.0ms	(*.f64 (cbrt.f64 4) (cbrt.f64 4))
6.0ms	(/.f64 a (*.f64 (cbrt.f64 4) (cbrt.f64 4)))
4.0ms	(/.f64 b (cbrt.f64 4))

series317.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

195.0ms	(.f64 (/.f64 a (.f64 (cbrt.f64 4) (cbrt.f64 4))) (/.f64 b (cbrt.f64 4)))
74.0ms	(/.f64 a (*.f64 (cbrt.f64 4) (cbrt.f64 4)))
48.0ms	(/.f64 b (cbrt.f64 4))
0.0ms	(*.f64 (cbrt.f64 4) (cbrt.f64 4))

Compiler

Compiled 546 to 546 computations (0% saved)

simplify108.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4899	2103
1	4899	2103

prune255.0ms (2.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	169	2	171
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	170	6	176

Merged error: 0b

Counts

176 → 6

Compiler

Compiled 4770 to 3013 computations (36.8% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (-.f64 c (*.f64 (/.f64 a (pow.f64 16 1/3)) (/.f64 b (cbrt.f64 4)))))
0.2b	(/.f64 a (pow.f64 16 1/3))
0.3b	(*.f64 (/.f64 a (pow.f64 16 1/3)) (/.f64 b (cbrt.f64 4)))
0.4b	(/.f64 b (cbrt.f64 4))

rewrite64.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

100×	`add-sqr-sqrt_binary64_3851`
95×	`times-frac_binary64_3835`
64×	`*-un-lft-identity_binary64_3829`
62×	`add-cube-cbrt_binary64_3864`
35×	`add-exp-log_binary64_3867`
25×	`cbrt-prod_binary64_3860` `associate-l_binary64_3770`
24×	`unpow-prod-down_binary64_3908`
22×	`add-cbrt-cube_binary64_3865` `associate-r_binary64_3769`
16×	`add-log-exp_binary64_3868`
14×	`div-exp_binary64_3880`
13×	`associate-/r*_binary64_3773`
12×	`unswap-sqr_binary64_3797`
10×	`sqr-pow_binary64_3801` `cbrt-undiv_binary64_3863`
8×	`prod-exp_binary64_3878`
6×	`sum-log_binary64_3920` `pow1_binary64_3890` `associate-/l*_binary64_3774` `cbrt-unprod_binary64_3862`
4×	`frac-add_binary64_3837` `div-inv_binary64_3826`
3×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `pow-exp_binary64_3897` `unpow1/3_binary64_3896` `pow-to-exp_binary64_3898`
2×	`flip--_binary64_3804` `associate-+r+_binary64_3761` `flip3--_binary64_3833` `clear-num_binary64_3828` `frac-2neg_binary64_3840` `diff-log_binary64_3921`
1×	`pow-prod-down_binary64_3900` `cancel-sign-sub-inv_binary64_3795` `associate-+r-_binary64_3763` `frac-times_binary64_3839` `associate-l/_binary64_3772` `distribute-lft-out_binary64_3780` `+-commutative_binary64_3759` `associate-r/_binary64_3771` `*-commutative_binary64_3760` `sub-neg_binary64_3822` `associate-+l+_binary64_3762`

Counts

4 → 193

Calls

4 calls:

19.0ms	(*.f64 (/.f64 a (pow.f64 16 1/3)) (/.f64 b (cbrt.f64 4)))
11.0ms	(+.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (-.f64 c (*.f64 (/.f64 a (pow.f64 16 1/3)) (/.f64 b (cbrt.f64 4)))))
7.0ms	(/.f64 a (pow.f64 16 1/3))
4.0ms	(/.f64 b (cbrt.f64 4))

series1.8s (19.6%)

Counts

4 → 54

Calls

4 calls:

1.4s	(+.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (-.f64 c (*.f64 (/.f64 a (pow.f64 16 1/3)) (/.f64 b (cbrt.f64 4)))))
269.0ms	(*.f64 (/.f64 a (pow.f64 16 1/3)) (/.f64 b (cbrt.f64 4)))
107.0ms	(/.f64 a (pow.f64 16 1/3))
48.0ms	(/.f64 b (cbrt.f64 4))

Compiler

Compiled 1684 to 1769 computations (-5% saved)

simplify104.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

247 → 247

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4962	5088
1	4962	5088

prune368.0ms (4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	247	0	247
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	247	6	253

Merged error: 0b

Counts

253 → 6

Compiler

Compiled 6798 to 4106 computations (39.6% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 b)
0.6b	(cbrt.f64 b)
0.6b	(cbrt.f64 b)
1.0b	(*.f64 (cbrt.f64 4) (cbrt.f64 4))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3860`
23×	`add-sqr-sqrt_binary64_3851`
15×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
11×	`pow1_binary64_3890`
9×	`pow1/3_binary64_3911`
6×	`add-exp-log_binary64_3867` `swap-sqr_binary64_3796` `associate-r_binary64_3769` `associate-l_binary64_3770`
4×	`add-log-exp_binary64_3868` `unswap-sqr_binary64_3797` `add-cbrt-cube_binary64_3865`
2×	`pow-prod-down_binary64_3900` `pow-prod-up_binary64_3899` `pow-sqr_binary64_3802`
1×	`prod-exp_binary64_3878` `*-commutative_binary64_3760` `pow-plus_binary64_3892` `cbrt-unprod_binary64_3862` `pow2_binary64_3910`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 4) (cbrt.f64 4))
3.0ms	(cbrt.f64 b)
1.0ms	(cbrt.f64 b)
1.0ms	(cbrt.f64 b)

series296.0ms (3.2%)

Counts

4 → 9

Calls

4 calls:

103.0ms	(cbrt.f64 b)
100.0ms	(cbrt.f64 b)
92.0ms	(cbrt.f64 b)
0.0ms	(*.f64 (cbrt.f64 4) (cbrt.f64 4))

Compiler

Compiled 618 to 564 computations (8.7% saved)

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4859	555
1	4859	555

prune119.0ms (1.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	82	6	88

Merged error: 0b

Counts

88 → 6

Compiler

Compiled 2771 to 1522 computations (45.1% saved)

regimes742.0ms (8%)

Compiler: Compiled 9209 to 7941 computations (13.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	25
1	56	25

end0.0ms (0%)

sample1.7s (18.2%)

Algorithm

1×

intervals

Results

460.0ms	8000×	body	128	valid
211.0ms	3926×	body	128	invalid

Compiler

Compiled 640 to 553 computations (13.6% saved)

Details

analyze1.5s (16.6%)

sample40.0ms (0.4%)

simplify167.0ms (1.8%)

prune3.0ms (0%)

localize12.0ms (0.1%)

rewrite34.0ms (0.4%)

series1.2s (12.6%)

simplify69.0ms (0.7%)

prune143.0ms (1.5%)

localize16.0ms (0.2%)

rewrite53.0ms (0.6%)

series317.0ms (3.4%)

simplify108.0ms (1.2%)

prune255.0ms (2.8%)

localize17.0ms (0.2%)

rewrite64.0ms (0.7%)

series1.8s (19.6%)

simplify104.0ms (1.1%)

prune368.0ms (4%)

localize21.0ms (0.2%)

rewrite19.0ms (0.2%)

series296.0ms (3.2%)

simplify73.0ms (0.8%)

prune119.0ms (1.3%)

regimes742.0ms (8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.7s (18.2%)

Profiling