Details

analyze305.0ms (4.3%)

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)

sample44.0ms (0.6%)

Algorithm

1×

intervals

Results

22.0ms	112×	body	8192	exit
8.0ms	207×	body	128	valid
2.0ms	21×	body	512	valid
2.0ms	27×	body	256	valid
0.0ms	1×	body	1024	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify230.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (129.0ms)

Iter	Nodes	Cost
0	4887	18
1	4887	18

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

Error

14.3b

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 x (exp.f64 wj))
0.0b	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
5.0b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

rewrite42.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`*-un-lft-identity_binary64_3488`
48×	`add-sqr-sqrt_binary64_3510`
38×	`times-frac_binary64_3494`
23×	`add-cube-cbrt_binary64_3523`
10×	`difference-of-squares_binary64_3457`
9×	`associate-/l*_binary64_3433`
8×	`distribute-lft-out_binary64_3439`
7×	`associate-/r*_binary64_3432` `add-cbrt-cube_binary64_3524`
6×	`add-exp-log_binary64_3526`
5×	`distribute-lft-out--_binary64_3440` `add-log-exp_binary64_3527`
3×	`pow1_binary64_3549`
2×	`clear-num_binary64_3487` `associate-/l/_binary64_3435` `flip-+_binary64_3462` `flip3-+_binary64_3491` `associate-/r/_binary64_3434` `frac-2neg_binary64_3499` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `div-sub_binary64_3493` `div-inv_binary64_3485`
1×	`flip3--_binary64_3492` `+-commutative_binary64_3418` `flip--_binary64_3463` `associate-+r-_binary64_3422` `sum-log_binary64_3579`

Counts

3 → 91

Calls

3 calls:

18.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
13.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
4.0ms	(/.f64 x (exp.f64 wj))

series379.0ms (5.3%)

Counts

3 → 45

Calls

3 calls:

166.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
144.0ms	(/.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)

simplify85.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4955	2769
1	4955	2769

prune131.0ms (1.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	134	2	136
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	136	2	138

Error

0.1b

Counts

138 → 2

Compiler

Compiled 2551 to 1058 computations (58.5% saved)

localize15.0ms (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)
7.1b	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))

rewrite59.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_3510`
18×	`associate-l_binary64_3429`
16×	`add-exp-log_binary64_3526`
13×	`add-cbrt-cube_binary64_3524`
12×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
11×	`pow1_binary64_3549`
9×	`add-log-exp_binary64_3527`
7×	`associate-r_binary64_3428` `prod-exp_binary64_3537`
6×	`associate-*l/_binary64_3431` `unswap-sqr_binary64_3456` `flip-+_binary64_3462` `flip3-+_binary64_3491`
5×	`cbrt-unprod_binary64_3521`
4×	`unpow-prod-down_binary64_3567` `cube-prod_binary64_3516` `pow-prod-down_binary64_3559` `frac-sub_binary64_3497`
3×	`cancel-sign-sub-inv_binary64_3454` `*-commutative_binary64_3419`
2×	`diff-log_binary64_3580` `associate-*r/_binary64_3430` `sqr-pow_binary64_3460`
1×	`pow-exp_binary64_3556` `unpow3_binary64_3554` `distribute-lft-in_binary64_3437` `distribute-rgt-in_binary64_3438` `flip3--_binary64_3492` `associate--r+_binary64_3424` `pow-to-exp_binary64_3557` `flip--_binary64_3463` `cube-mult_binary64_3518` `sum-log_binary64_3579` `sub-neg_binary64_3481`

Counts

4 → 94

Calls

4 calls:

20.0ms	(-.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)))))
13.0ms	(.f64 x (+.f64 (+.f64 wj wj) (.f64 (pow.f64 wj 3) 8/3)))
9.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))
6.0ms	(*.f64 (pow.f64 wj 3) 8/3)

series651.0ms (9.2%)

Counts

4 → 36

Calls

4 calls:

360.0ms	(-.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)))))
157.0ms	(.f64 x (+.f64 (+.f64 wj wj) (.f64 (pow.f64 wj 3) 8/3)))
102.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))
31.0ms	(*.f64 (pow.f64 wj 3) 8/3)

Compiler

Compiled 1495 to 1157 computations (22.6% saved)

simplify89.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4966	2961
1	4966	2961

prune212.0ms (3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	128	4	132

Error

0.1b

Counts

132 → 4

Compiler

Compiled 4394 to 2715 computations (38.2% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

7.1b	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))
20.3b	(cbrt.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj)))
20.3b	(cbrt.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj)))
20.3b	(cbrt.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj)))

rewrite44.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `pow1_binary64_3549`
8×	`associate-*l/_binary64_3431`
6×	`add-sqr-sqrt_binary64_3510` `cbrt-div_binary64_3520`
5×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
4×	`flip-+_binary64_3462` `flip3-+_binary64_3491` `add-log-exp_binary64_3527`
3×	`cbrt-prod_binary64_3519` `associate-l_binary64_3429` `cbrt-unprod_binary64_3521` `pow-prod-down_binary64_3559` `pow1/3_binary64_3570` `prod-exp_binary64_3537`
1×	`unswap-sqr_binary64_3456` `associate-r_binary64_3428` `*-commutative_binary64_3419`

Counts

4 → 54

Calls

4 calls:

12.0ms	(cbrt.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj)))
9.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))
7.0ms	(cbrt.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj)))
7.0ms	(cbrt.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj)))

series714.0ms (10.1%)

Counts

4 → 33

Calls

4 calls:

209.0ms	(cbrt.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj)))
197.0ms	(cbrt.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj)))
193.0ms	(cbrt.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj)))
115.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))

Compiler

Compiled 3293 to 2502 computations (24% saved)

simplify44.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4998	1366
1	4998	1366

prune212.0ms (3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	84	3	87
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	85	6	91

Error

0.1b

Counts

91 → 6

Compiler

Compiled 4819 to 3076 computations (36.2% saved)

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

7.1b	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))
20.3b	(cbrt.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj)))
20.3b	(cbrt.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj)))
20.3b	(cbrt.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj)))

rewrite39.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `pow1_binary64_3549`
8×	`associate-*l/_binary64_3431`
6×	`add-sqr-sqrt_binary64_3510` `cbrt-div_binary64_3520`
5×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
4×	`flip-+_binary64_3462` `flip3-+_binary64_3491` `add-log-exp_binary64_3527`
3×	`cbrt-prod_binary64_3519` `associate-l_binary64_3429` `cbrt-unprod_binary64_3521` `pow-prod-down_binary64_3559` `pow1/3_binary64_3570` `prod-exp_binary64_3537`
1×	`unswap-sqr_binary64_3456` `associate-r_binary64_3428` `*-commutative_binary64_3419`

Counts

4 → 54

Calls

4 calls:

10.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))
7.0ms	(cbrt.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj)))
7.0ms	(cbrt.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj)))
7.0ms	(cbrt.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj)))

series726.0ms (10.2%)

Counts

4 → 33

Calls

4 calls:

212.0ms	(cbrt.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj)))
198.0ms	(cbrt.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj)))
197.0ms	(cbrt.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj)))
119.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))

Compiler

Compiled 3407 to 2616 computations (23.2% saved)

simplify45.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4998	1366
1	4998	1366

prune228.0ms (3.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	88	5	93

Error

0.1b

Counts

93 → 5

Compiler

Compiled 4820 to 3127 computations (35.1% saved)

regimes287.0ms (4%)

Accuracy

Total 1.5b remaining (93.8%)

Threshold costs 0b (0%)

Compiler

Compiled 3912 to 2634 computations (32.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	103	40
1	103	40

end0.0ms (0%)

sample2.5s (34.5%)

Algorithm

1×

intervals

Results

798.0ms	3692×	body	8192	exit
245.0ms	6554×	body	128	valid
87.0ms	713×	body	512	valid
56.0ms	710×	body	256	valid
3.0ms	23×	body	1024	valid
3.0ms	79×	body	128	invalid
0.0ms	12×	body	128	overflowed

Compiler

Compiled 1353 to 912 computations (32.6% saved)

Details

analyze305.0ms (4.3%)

sample44.0ms (0.6%)

simplify230.0ms (3.2%)

prune4.0ms (0.1%)

localize8.0ms (0.1%)

rewrite42.0ms (0.6%)

series379.0ms (5.3%)

simplify85.0ms (1.2%)

prune131.0ms (1.8%)

localize15.0ms (0.2%)

rewrite59.0ms (0.8%)

series651.0ms (9.2%)

simplify89.0ms (1.3%)

prune212.0ms (3%)

localize23.0ms (0.3%)

rewrite44.0ms (0.6%)

series714.0ms (10.1%)

simplify44.0ms (0.6%)

prune212.0ms (3%)

localize26.0ms (0.4%)

rewrite39.0ms (0.6%)

series726.0ms (10.2%)

simplify45.0ms (0.6%)

prune228.0ms (3.2%)

regimes287.0ms (4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.5s (34.5%)

Profiling