Details

analyze303.0ms (11%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample16.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	244×	body	128	valid
1.0ms	18×	body	128	invalid
0.0ms	4×	body	1024	valid
0.0ms	5×	body	512	valid
0.0ms	3×	body	256	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify96.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

prune4.0ms (0.1%)

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: 0.1b

Counts

2 → 2

Compiler

Compiled 25 to 23 computations (8% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64_3829`
5×	`associate-r_binary64_3769` `add-sqr-sqrt_binary64_3851`
3×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `pow1_binary64_3890` `distribute-lft-out_binary64_3780` `associate-l_binary64_3770`
2×	`associate-*r/_binary64_3771`
1×	`flip3-+_binary64_3832` `add-log-exp_binary64_3868` `pow-prod-down_binary64_3900` `unswap-sqr_binary64_3797` `flip-+_binary64_3803` `prod-exp_binary64_3878` `distribute-rgt-in_binary64_3779` `*-commutative_binary64_3760` `distribute-lft-in_binary64_3778` `cbrt-unprod_binary64_3862`

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

series29.0ms (1%)

Counts

1 → 3

Calls

1 calls:

29.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

simplify57.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5245	315

prune28.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	24	5	29

Merged error: 0b

Counts

29 → 5

Compiler

Compiled 383 to 210 computations (45.2% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
0.0b	(+.f64 (.f64 d1 3) (.f64 d1 d2))

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_3868`
4×	`sum-log_binary64_3920`
3×	`distribute-lft-out_binary64_3780`
2×	`flip3-+_binary64_3832` `add-exp-log_binary64_3867` `flip-+_binary64_3803` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `pow1_binary64_3890` `*-un-lft-identity_binary64_3829` `+-commutative_binary64_3759` `add-sqr-sqrt_binary64_3851`
1×	`associate-+l+_binary64_3762`

Counts

2 → 26

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
4.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

series60.0ms (2.2%)

Counts

2 → 6

Calls

2 calls:

32.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
29.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

simplify54.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5164	407

prune28.0ms (1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	32	5	37

Merged error: 0b

Counts

37 → 5

Compiler

Compiled 478 to 276 computations (42.3% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 9 (*.f64 (+.f64 d2 d3) (+.f64 d2 d3)))
0.0b	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))
8.3b	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
14.1b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))

rewrite38.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64_3829`
22×	`add-sqr-sqrt_binary64_3851`
13×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `pow1_binary64_3890`
12×	`add-cube-cbrt_binary64_3864`
8×	`distribute-lft-out_binary64_3780` `associate-r_binary64_3769`
7×	`associate-l_binary64_3770`
6×	`flip3-+_binary64_3832` `add-log-exp_binary64_3868` `times-frac_binary64_3835` `flip-+_binary64_3803` `swap-sqr_binary64_3796` `associate-r/_binary64_3771` `associate-/r_binary64_3773`
4×	`flip--_binary64_3804` `flip3--_binary64_3833` `distribute-rgt-in_binary64_3779` `frac-times_binary64_3839` `difference-of-squares_binary64_3798` `distribute-lft-out--_binary64_3781` `distribute-lft-in_binary64_3778`
3×	`cancel-sign-sub-inv_binary64_3795` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `sub-neg_binary64_3822`
2×	`pow-prod-down_binary64_3900` `div-exp_binary64_3880` `unswap-sqr_binary64_3797` `associate-/l/_binary64_3776` `associate-/r/_binary64_3775` `associate-l/_binary64_3772` `cbrt-undiv_binary64_3863` `-commutative_binary64_3760` `associate--r+_binary64_3765`
1×	`div-inv_binary64_3826` `pow-prod-up_binary64_3899` `clear-num_binary64_3828` `pow-sqr_binary64_3802` `associate-/l*_binary64_3774` `frac-2neg_binary64_3840` `pow-plus_binary64_3892` `pow2_binary64_3910` `diff-log_binary64_3921`

Counts

4 → 111

Calls

4 calls:

11.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))
9.0ms	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))
6.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
3.0ms	(-.f64 9 (*.f64 (+.f64 d2 d3) (+.f64 d2 d3)))

series219.0ms (8%)

Counts

4 → 12

Calls

4 calls:

119.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))
65.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
22.0ms	(-.f64 9 (*.f64 (+.f64 d2 d3) (+.f64 d2 d3)))
13.0ms	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))

simplify49.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5010	2157

prune118.0ms (4.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	123	5	128

Merged error: 0b

Counts

128 → 5

Compiler

Compiled 2708 to 1336 computations (50.7% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))
0.0b	(*.f64 3 (+.f64 d2 d3))
3.9b	(*.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3)))
26.1b	(/.f64 (.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))))

rewrite64.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`associate-*r/_binary64_3771`
28×	`flip3-+_binary64_3832` `flip-+_binary64_3803`
16×	`frac-sub_binary64_3838`
14×	`*-un-lft-identity_binary64_3829` `add-sqr-sqrt_binary64_3851`
13×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
10×	`add-cube-cbrt_binary64_3864`
8×	`pow1_binary64_3890` `frac-times_binary64_3839` `associate-r_binary64_3769`
6×	`add-log-exp_binary64_3868` `associate-l/_binary64_3772` `associate-l*_binary64_3770`
4×	`distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778` `sub-div_binary64_3836`
3×	`times-frac_binary64_3835` `prod-exp_binary64_3878` `associate-/r*_binary64_3773` `cbrt-unprod_binary64_3862`
2×	`pow-prod-down_binary64_3900` `div-exp_binary64_3880` `unswap-sqr_binary64_3797` `associate-/l/_binary64_3776` `associate-/r/_binary64_3775` `distribute-lft-out_binary64_3780` `cbrt-undiv_binary64_3863` `*-commutative_binary64_3760` `associate--r+_binary64_3765` `associate--l+_binary64_3766`
1×	`div-inv_binary64_3826` `cancel-sign-sub-inv_binary64_3795` `flip--_binary64_3804` `flip3--_binary64_3833` `clear-num_binary64_3828` `distribute-rgt-out--_binary64_3783` `associate-/l*_binary64_3774` `frac-2neg_binary64_3840` `sub-neg_binary64_3822` `diff-log_binary64_3921`

Counts

4 → 108

Calls

4 calls:

20.0ms	(/.f64 (.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))))
14.0ms	(-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))
10.0ms	(*.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3)))
6.0ms	(*.f64 3 (+.f64 d2 d3))

series433.0ms (15.7%)

Counts

4 → 12

Calls

4 calls:

256.0ms	(/.f64 (.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))))
132.0ms	(*.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3)))
28.0ms	(-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))
17.0ms	(*.f64 3 (+.f64 d2 d3))

simplify68.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5034	3102

prune157.0ms (5.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	120	5	125

Merged error: 0b

Counts

125 → 5

Compiler

Compiled 4264 to 2077 computations (51.3% saved)

regimes113.0ms (4.1%)

Compiler: Compiled 936 to 756 computations (19.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample761.0ms (27.6%)

Algorithm

1×

intervals

Results

241.0ms	7549×	body	128	valid
21.0ms	669×	body	128	invalid
20.0ms	154×	body	1024	valid
14.0ms	168×	body	512	valid
10.0ms	129×	body	256	valid

Compiler

Compiled 255 to 208 computations (18.4% saved)

Details

analyze303.0ms (11%)

sample16.0ms (0.6%)

simplify96.0ms (3.5%)

prune4.0ms (0.1%)

localize5.0ms (0.2%)

rewrite10.0ms (0.3%)

series29.0ms (1%)

simplify57.0ms (2.1%)

prune28.0ms (1%)

localize7.0ms (0.3%)

rewrite12.0ms (0.5%)

series60.0ms (2.2%)

simplify54.0ms (1.9%)

prune28.0ms (1%)

localize9.0ms (0.3%)

rewrite38.0ms (1.4%)

series219.0ms (8%)

simplify49.0ms (1.8%)

prune118.0ms (4.3%)

localize13.0ms (0.5%)

rewrite64.0ms (2.3%)

series433.0ms (15.7%)

simplify68.0ms (2.5%)

prune157.0ms (5.7%)

regimes113.0ms (4.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample761.0ms (27.6%)

Profiling