Details

analyze323.0ms (4.7%)

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
12.5%	87.4%	0.1%	5
18.7%	68.7%	12.6%	6
28.1%	59.3%	12.6%	7
32.8%	48.4%	18.8%	8
38.2%	42.9%	18.8%	9
41%	37.1%	22%	10
43.9%	34.1%	22%	11
45.5%	31%	23.5%	12
46.9%	29.6%	23.5%	13
47.7%	28%	24.3%	14

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample45.0ms (0.7%)

Algorithm

1×

intervals

Results

22.0ms	108×	body	8192	exit
8.0ms	206×	body	128	valid
3.0ms	23×	body	512	valid
2.0ms	26×	body	256	valid
0.0ms	1×	body	1024	valid
0.0ms	3×	body	128	invalid
0.0ms	1×	body	128	overflowed

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify240.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (144.0ms)

Iter	Nodes	Cost
0	4887	18
1	4887	18

prune9.0ms (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

Error

13.3b

Counts

2 → 2

Compiler

Compiled 40 to 26 computations (35% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
0.2b	(/.f64 x (exp.f64 wj))
3.8b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

rewrite45.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`*-un-lft-identity_binary64_3829`
48×	`add-sqr-sqrt_binary64_3851`
38×	`times-frac_binary64_3835`
23×	`add-cube-cbrt_binary64_3864`
10×	`difference-of-squares_binary64_3798`
9×	`associate-/l*_binary64_3774`
8×	`distribute-lft-out_binary64_3780`
7×	`add-cbrt-cube_binary64_3865` `associate-/r*_binary64_3773`
6×	`add-exp-log_binary64_3867`
5×	`add-log-exp_binary64_3868` `distribute-lft-out--_binary64_3781`
3×	`pow1_binary64_3890`
2×	`flip3-+_binary64_3832` `div-inv_binary64_3826` `div-exp_binary64_3880` `flip-+_binary64_3803` `associate-/l/_binary64_3776` `associate-/r/_binary64_3775` `clear-num_binary64_3828` `div-sub_binary64_3834` `cbrt-undiv_binary64_3863` `frac-2neg_binary64_3840`
1×	`flip--_binary64_3804` `associate-+r-_binary64_3763` `sum-log_binary64_3920` `flip3--_binary64_3833` `+-commutative_binary64_3759`

Counts

3 → 91

Calls

3 calls:

19.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
14.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
4.0ms	(/.f64 x (exp.f64 wj))

series380.0ms (5.5%)

Counts

3 → 45

Calls

3 calls:

168.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
143.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
69.0ms	(/.f64 x (exp.f64 wj))

Compiler

Compiled 846 to 635 computations (24.9% saved)

simplify101.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4955	2769
1	4955	2769

prune140.0ms (2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	133	3	136
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	134	4	138

Error

0.0b

Counts

138 → 4

Compiler

Compiled 2577 to 1074 computations (58.3% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (+.f64 (+.f64 wj wj) (.f64 (pow.f64 wj 3) 8/3)))
0.0b	(-.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (.f64 wj wj)) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (+.f64 wj wj) (*.f64 (pow.f64 wj 3) 8/3)))))
0.1b	(*.f64 (pow.f64 wj 3) 8/3)
7.2b	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))

rewrite64.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_3851`
18×	`associate-l_binary64_3770`
16×	`add-exp-log_binary64_3867`
13×	`add-cbrt-cube_binary64_3865`
12×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
11×	`pow1_binary64_3890`
9×	`add-log-exp_binary64_3868`
7×	`prod-exp_binary64_3878` `associate-r_binary64_3769`
6×	`flip3-+_binary64_3832` `unswap-sqr_binary64_3797` `flip-+_binary64_3803` `associate-*l/_binary64_3772`
5×	`cbrt-unprod_binary64_3862`
4×	`pow-prod-down_binary64_3900` `cube-prod_binary64_3857` `unpow-prod-down_binary64_3908` `frac-sub_binary64_3838`
3×	`cancel-sign-sub-inv_binary64_3795` `*-commutative_binary64_3760`
2×	`sqr-pow_binary64_3801` `associate-*r/_binary64_3771` `diff-log_binary64_3921`
1×	`flip--_binary64_3804` `cube-mult_binary64_3859` `sum-log_binary64_3920` `unpow3_binary64_3895` `pow-exp_binary64_3897` `flip3--_binary64_3833` `distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778` `associate--r+_binary64_3765` `pow-to-exp_binary64_3898` `sub-neg_binary64_3822`

Counts

4 → 94

Calls

4 calls:

22.0ms	(-.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (.f64 wj wj)) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (+.f64 wj wj) (*.f64 (pow.f64 wj 3) 8/3)))))
11.0ms	(.f64 x (+.f64 (+.f64 wj wj) (.f64 (pow.f64 wj 3) 8/3)))
10.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))
7.0ms	(*.f64 (pow.f64 wj 3) 8/3)

series708.0ms (10.3%)

Counts

4 → 36

Calls

4 calls:

372.0ms	(-.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (.f64 wj wj)) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (+.f64 wj wj) (*.f64 (pow.f64 wj 3) 8/3)))))
183.0ms	(.f64 x (+.f64 (+.f64 wj wj) (.f64 (pow.f64 wj 3) 8/3)))
114.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))
39.0ms	(*.f64 (pow.f64 wj 3) 8/3)

Compiler

Compiled 1495 to 1157 computations (22.6% saved)

simplify103.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4966	2961
1	4966	2961

prune216.0ms (3.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	130	4	134

Error

0.0b

Counts

134 → 4

Compiler

Compiled 4343 to 2677 computations (38.4% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 wj (exp.f64 wj))
0.0b	(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))
0.7b	(/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))))
3.8b	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))

rewrite49.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`*-un-lft-identity_binary64_3829`
32×	`add-sqr-sqrt_binary64_3851`
31×	`times-frac_binary64_3835`
25×	`add-cube-cbrt_binary64_3864`
21×	`cancel-sign-sub-inv_binary64_3795`
8×	`add-log-exp_binary64_3868` `add-cbrt-cube_binary64_3865` `distribute-rgt1-in_binary64_3785` `distribute-rgt-out_binary64_3782`
7×	`add-exp-log_binary64_3867`
6×	`pow1_binary64_3890`
5×	`associate-/r*_binary64_3773`
4×	`associate-/r/_binary64_3775`
3×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `associate-/l_binary64_3774` `associate-r_binary64_3769` `associate-l*_binary64_3770`
2×	`div-inv_binary64_3826` `flip--_binary64_3804` `associate-/l/_binary64_3776` `flip3--_binary64_3833` `div-sub_binary64_3834` `difference-of-squares_binary64_3798`
1×	`pow-prod-down_binary64_3900` `div-exp_binary64_3880` `unswap-sqr_binary64_3797` `sum-log_binary64_3920` `prod-exp_binary64_3878` `clear-num_binary64_3828` `distribute-lft-out--_binary64_3781` `cbrt-undiv_binary64_3863` `+-commutative_binary64_3759` `*-commutative_binary64_3760` `frac-2neg_binary64_3840` `cbrt-unprod_binary64_3862` `sub-neg_binary64_3822` `associate--r-_binary64_3768` `diff-log_binary64_3921`

Counts

4 → 107

Calls

4 calls:

16.0ms	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))
11.0ms	(/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))))
5.0ms	(*.f64 wj (exp.f64 wj))
4.0ms	(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))

series515.0ms (7.5%)

Counts

4 → 50

Calls

4 calls:

245.0ms	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))
206.0ms	(/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))))
37.0ms	(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))
27.0ms	(*.f64 wj (exp.f64 wj))

Compiler

Compiled 1072 to 655 computations (38.9% saved)

simplify96.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5394	3396

prune136.0ms (2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	156	1	157
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	157	4	161

Error

0.0b

Counts

161 → 4

Compiler

Compiled 3203 to 1284 computations (59.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))) 3)
0.2b	(/.f64 x (exp.f64 wj))
3.8b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
28.1b	(cbrt.f64 (pow.f64 (+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))) 3))

rewrite76.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64_3829`
18×	`add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851`
14×	`cbrt-prod_binary64_3860`
9×	`times-frac_binary64_3835`
8×	`cube-prod_binary64_3857` `unpow-prod-down_binary64_3908`
7×	`add-cbrt-cube_binary64_3865`
6×	`add-log-exp_binary64_3868` `add-exp-log_binary64_3867`
5×	`pow1_binary64_3890` `distribute-lft-out_binary64_3780`
4×	`cube-div_binary64_3858`
3×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `pow-unpow_binary64_3906` `associate-/l_binary64_3774` `associate-/r_binary64_3773`
2×	`cube-mult_binary64_3859` `unpow3_binary64_3895` `sqr-pow_binary64_3801` `cbrt-div_binary64_3861`
1×	`div-inv_binary64_3826` `div-exp_binary64_3880` `associate-+r-_binary64_3763` `sum-log_binary64_3920` `pow-exp_binary64_3897` `rem-cbrt-cube_binary64_3853` `pow-pow_binary64_3901` `clear-num_binary64_3828` `div-sub_binary64_3834` `rem-cube-cbrt_binary64_3852` `pow1/3_binary64_3911` `cbrt-undiv_binary64_3863` `+-commutative_binary64_3759` `frac-2neg_binary64_3840` `pow-to-exp_binary64_3898`

Counts

4 → 92

Calls

4 calls:

21.0ms	(cbrt.f64 (pow.f64 (+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))) 3))
20.0ms	(pow.f64 (+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))) 3)
19.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
4.0ms	(/.f64 x (exp.f64 wj))

series712.0ms (10.3%)

Counts

4 → 67

Calls

4 calls:

311.0ms	(pow.f64 (+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))) 3)
167.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
161.0ms	(cbrt.f64 (pow.f64 (+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))) 3))
73.0ms	(/.f64 x (exp.f64 wj))

Compiler

Compiled 1963 to 1426 computations (27.4% saved)

simplify74.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4987	4075
1	4987	4075

prune162.0ms (2.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	159	4	163

Error

0.0b

Counts

163 → 4

Compiler

Compiled 3556 to 1799 computations (49.4% saved)

regimes273.0ms (4%)

Accuracy

Total 0.5b remaining (82.6%)

Threshold costs 0.5b (82.6%)

Compiler

Compiled 2664 to 1662 computations (37.6% saved)

bsearch19.0ms (0.3%)

Steps

Iters	Range		Point
7	9.241070500124852e-09	1.0208056199840058e-06	9.953616011917723e-07

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	109	63
1	109	63

end0.0ms (0%)

sample2.3s (34.1%)

Algorithm

1×

intervals

Results

851.0ms	3790×	body	8192	exit
263.0ms	6573×	body	128	valid
83.0ms	671×	body	512	valid
58.0ms	722×	body	256	valid
6.0ms	34×	body	1024	valid
4.0ms	83×	body	128	invalid
1.0ms	15×	body	128	overflowed

Compiler

Compiled 952 to 597 computations (37.3% saved)

Details

analyze323.0ms (4.7%)

sample45.0ms (0.7%)

simplify240.0ms (3.5%)

prune9.0ms (0.1%)

localize8.0ms (0.1%)

rewrite45.0ms (0.7%)

series380.0ms (5.5%)

simplify101.0ms (1.5%)

prune140.0ms (2%)

localize16.0ms (0.2%)

rewrite64.0ms (0.9%)

series708.0ms (10.3%)

simplify103.0ms (1.5%)

prune216.0ms (3.1%)

localize8.0ms (0.1%)

rewrite49.0ms (0.7%)

series515.0ms (7.5%)

simplify96.0ms (1.4%)

prune136.0ms (2%)

localize11.0ms (0.2%)

rewrite76.0ms (1.1%)

series712.0ms (10.3%)

simplify74.0ms (1.1%)

prune162.0ms (2.4%)

regimes273.0ms (4%)

bsearch19.0ms (0.3%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.3s (34.1%)

Profiling