Details

analyze929.0ms (5.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4977	44
1	4977	44
0	2	2
1	2	2

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
3.1%	96.8%	0.1%	6
15.6%	81.2%	3.2%	7
23.4%	72.6%	4%	8
32.4%	56.2%	11.4%	9
36.3%	51.7%	12%	10
40.7%	42.9%	16.4%	11
42.6%	40.3%	17.1%	12
44.5%	35.7%	19.8%	13
45.5%	34.4%	20.1%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample151.0ms (0.8%)

Algorithm

1×

intervals

Results

76.0ms	60×	body	2048	valid
42.0ms	71×	body	1024	valid
10.0ms	44×	body	512	valid
4.0ms	69×	body	128	valid
2.0ms	3×	body	1024	invalid
1.0ms	12×	body	256	valid
1.0ms	9×	body	128	invalid
1.0ms	4×	body	256	invalid
1.0ms	2×	body	512	invalid
0.0ms	9×	body	128	nan

Compiler

Compiled 31 to 25 computations (19.4% saved)

simplify79.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5036	22

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

Error

43.9b

Counts

2 → 1

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
1.0b	(-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1)
7.2b	(pow.f64 (+.f64 1 (/.f64 i n)) n)
10.7b	(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))

rewrite1.0s (5.7%)

Algorithm

1×	rewrite-expression-head

Error

43.7b

Rules

584×	`times-frac_binary64_3494`
486×	`add-sqr-sqrt_binary64_3510`
367×	`*-un-lft-identity_binary64_3488`
225×	`add-cube-cbrt_binary64_3523`
174×	`associate-r_binary64_3428`
168×	`difference-of-squares_binary64_3457`
88×	`unpow-prod-down_binary64_3567`
85×	`sqr-pow_binary64_3460`
84×	`difference-of-sqr-1_binary64_3458`
29×	`div-inv_binary64_3485`
28×	`distribute-lft-out--_binary64_3440`
19×	`add-exp-log_binary64_3526`
18×	`add-cbrt-cube_binary64_3524`
13×	`associate-/l_binary64_3433` `associate-/r_binary64_3432`
7×	`pow1_binary64_3549`
6×	`div-exp_binary64_3539` `add-log-exp_binary64_3527` `cbrt-undiv_binary64_3522`
3×	`pow-unpow_binary64_3565` `cancel-sign-sub-inv_binary64_3454` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `unswap-sqr_binary64_3456` `associate-l_binary64_3429`
2×	`flip3--_binary64_3492` `associate-/l/_binary64_3435` `flip--_binary64_3463` `associate-/r/_binary64_3434`
1×	`frac-2neg_binary64_3499` `div-sub_binary64_3493` `clear-num_binary64_3487` `distribute-lft-out_binary64_3439` `pow-pow_binary64_3560` `pow-to-exp_binary64_3557` `pow-exp_binary64_3556` `diff-log_binary64_3580` `sub-neg_binary64_3481` `pow-prod-down_binary64_3559` `associate-r/_binary64_3430` `-commutative_binary64_3419`

Counts

4 → 451

Calls

4 calls:

55.0ms	(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
20.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
11.0ms	(-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1)
7.0ms	(pow.f64 (+.f64 1 (/.f64 i n)) n)

Compiler

Compiled 14661 to 7953 computations (45.8% saved)

series1.2s (6.6%)

Error

3.0b

Counts

4 → 57

Calls

4 calls:

403.0ms	(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
372.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
180.0ms	(-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1)
150.0ms	(pow.f64 (+.f64 1 (/.f64 i n)) n)

Compiler

Compiled 4992 to 3601 computations (27.9% saved)

simplify159.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

508 → 508

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5049	16598

prune908.0ms (5.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	496	12	508
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	497	12	509

Error

0.7b

Counts

509 → 12

Compiler

Compiled 15678 to 8242 computations (47.4% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 50/3 (.f64 i i))
2.4b	(+.f64 (+.f64 (.f64 n (+.f64 (.f64 i 50) (.f64 50/3 (.f64 i i)))) (+.f64 (.f64 n 100) (.f64 (/.f64 (.f64 i i) n) 100/3))) (.f64 -50 (+.f64 i (*.f64 i i))))
4.2b	(.f64 n (+.f64 (.f64 i 50) (.f64 50/3 (.f64 i i))))
5.6b	(/.f64 (*.f64 i i) n)

rewrite242.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

22×	`associate-*r/_binary64_3430`
20×	`frac-add_binary64_3496`
18×	`flip3-+_binary64_3491` `flip-+_binary64_3462`
16×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
13×	`add-log-exp_binary64_3527`
12×	`add-sqr-sqrt_binary64_3510`
11×	`pow1_binary64_3549`
9×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
6×	`associate-l_binary64_3429` `sum-log_binary64_3579`
5×	`prod-exp_binary64_3537` `cbrt-unprod_binary64_3521`
4×	`pow-prod-down_binary64_3559` `associate-r_binary64_3428`
3×	`times-frac_binary64_3494` `associate-/r*_binary64_3432`
2×	`div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `unswap-sqr_binary64_3456` `distribute-rgt-in_binary64_3438` `distribute-lft-in_binary64_3437` `*-commutative_binary64_3419` `associate-+r+_binary64_3420`
1×	`frac-2neg_binary64_3499` `clear-num_binary64_3487` `div-inv_binary64_3485` `associate-/l*_binary64_3433` `associate-+l+_binary64_3421` `+-commutative_binary64_3418`

Counts

4 → 90

Calls

4 calls:

14.0ms	(+.f64 (+.f64 (.f64 n (+.f64 (.f64 i 50) (.f64 50/3 (.f64 i i)))) (+.f64 (.f64 n 100) (.f64 (/.f64 (.f64 i i) n) 100/3))) (.f64 -50 (+.f64 i (*.f64 i i))))
6.0ms	(.f64 n (+.f64 (.f64 i 50) (.f64 50/3 (.f64 i i))))
6.0ms	(.f64 50/3 (.f64 i i))
5.0ms	(/.f64 (*.f64 i i) n)

Compiler

Compiled 5543 to 2778 computations (49.9% saved)

series726.0ms (4.1%)

Error

0.7b

Counts

4 → 36

Calls

4 calls:

427.0ms	(+.f64 (+.f64 (.f64 n (+.f64 (.f64 i 50) (.f64 50/3 (.f64 i i)))) (+.f64 (.f64 n 100) (.f64 (/.f64 (.f64 i i) n) 100/3))) (.f64 -50 (+.f64 i (*.f64 i i))))
149.0ms	(.f64 n (+.f64 (.f64 i 50) (.f64 50/3 (.f64 i i))))
74.0ms	(/.f64 (*.f64 i i) n)
31.0ms	(.f64 50/3 (.f64 i i))

Compiler

Compiled 2625 to 1850 computations (29.5% saved)

simplify87.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4964	4862
1	4964	4862

prune260.0ms (1.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	123	3	126
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	125	13	138

Error

0.6b

Counts

138 → 13

Compiler

Compiled 6101 to 3402 computations (44.2% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (.f64 i 50) (.f64 50/3 (*.f64 i i)))
0.3b	(.f64 50/3 (.f64 i i))
2.4b	(+.f64 (+.f64 (.f64 n (+.f64 (.f64 i 50) (.f64 50/3 (.f64 i i)))) (+.f64 (.f64 n 100) (.f64 (.f64 i (/.f64 i n)) 100/3))) (.f64 -50 (+.f64 i (*.f64 i i))))
4.2b	(.f64 n (+.f64 (.f64 i 50) (.f64 50/3 (.f64 i i))))

rewrite237.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

22×	`associate-*r/_binary64_3430`
20×	`frac-add_binary64_3496`
19×	`flip3-+_binary64_3491` `flip-+_binary64_3462`
15×	`add-log-exp_binary64_3527`
11×	`pow1_binary64_3549` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
10×	`add-sqr-sqrt_binary64_3510`
7×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488` `sum-log_binary64_3579`
6×	`associate-l_binary64_3429`
4×	`pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `associate-r_binary64_3428`
2×	`unswap-sqr_binary64_3456` `distribute-rgt-in_binary64_3438` `distribute-lft-in_binary64_3437` `*-commutative_binary64_3419` `associate-+r+_binary64_3420` `+-commutative_binary64_3418`
1×	`associate-+l+_binary64_3421`

Counts

4 → 80

Calls

4 calls:

14.0ms	(+.f64 (+.f64 (.f64 n (+.f64 (.f64 i 50) (.f64 50/3 (.f64 i i)))) (+.f64 (.f64 n 100) (.f64 (.f64 i (/.f64 i n)) 100/3))) (.f64 -50 (+.f64 i (*.f64 i i))))
6.0ms	(.f64 n (+.f64 (.f64 i 50) (.f64 50/3 (.f64 i i))))
6.0ms	(.f64 50/3 (.f64 i i))
4.0ms	(+.f64 (.f64 i 50) (.f64 50/3 (*.f64 i i)))

Compiler

Compiled 5245 to 2659 computations (49.3% saved)

series730.0ms (4.1%)

Error

0.6b

Counts

4 → 36

Calls

4 calls:

442.0ms	(+.f64 (+.f64 (.f64 n (+.f64 (.f64 i 50) (.f64 50/3 (.f64 i i)))) (+.f64 (.f64 n 100) (.f64 (.f64 i (/.f64 i n)) 100/3))) (.f64 -50 (+.f64 i (*.f64 i i))))
149.0ms	(.f64 n (+.f64 (.f64 i 50) (.f64 50/3 (.f64 i i))))
68.0ms	(+.f64 (.f64 i 50) (.f64 50/3 (*.f64 i i)))
29.0ms	(.f64 50/3 (.f64 i i))

Compiler

Compiled 2504 to 1787 computations (28.6% saved)

simplify111.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4955	4869
1	4955	4869

prune251.0ms (1.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	117	12	129

Error

0.6b

Counts

129 → 12

Compiler

Compiled 5742 to 3297 computations (42.6% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 i (/.f64 i n)) 100/3)
0.3b	(.f64 50 (.f64 i n))
1.1b	(+.f64 (.f64 50 (.f64 i n)) (+.f64 (.f64 n 100) (.f64 (*.f64 i (/.f64 i n)) 100/3)))
4.9b	(+.f64 (+.f64 (.f64 50 (.f64 i n)) (+.f64 (.f64 n 100) (.f64 (.f64 i (/.f64 i n)) 100/3))) (.f64 -50 (+.f64 i (*.f64 i i))))

rewrite142.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

18×	`add-log-exp_binary64_3527` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
14×	`pow1_binary64_3549`
9×	`sum-log_binary64_3579`
8×	`prod-exp_binary64_3537` `cbrt-unprod_binary64_3521`
6×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `flip3-+_binary64_3491` `flip-+_binary64_3462` `*-un-lft-identity_binary64_3488` `pow-prod-down_binary64_3559`
5×	`associate-*r/_binary64_3430`
4×	`frac-add_binary64_3496` `associate-l_binary64_3429` `associate-r_binary64_3428`
3×	`associate-+r+_binary64_3420`
2×	`+-commutative_binary64_3418` `*-commutative_binary64_3419`
1×	`associate-+l+_binary64_3421` `distribute-rgt-in_binary64_3438` `distribute-lft-in_binary64_3437` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `associate-*l/_binary64_3431`

Counts

4 → 72

Calls

4 calls:

12.0ms	(+.f64 (+.f64 (.f64 50 (.f64 i n)) (+.f64 (.f64 n 100) (.f64 (.f64 i (/.f64 i n)) 100/3))) (.f64 -50 (+.f64 i (*.f64 i i))))
9.0ms	(+.f64 (.f64 50 (.f64 i n)) (+.f64 (.f64 n 100) (.f64 (*.f64 i (/.f64 i n)) 100/3)))
7.0ms	(.f64 (.f64 i (/.f64 i n)) 100/3)
5.0ms	(.f64 50 (.f64 i n))

Compiler

Compiled 2975 to 1416 computations (52.4% saved)

series726.0ms (4.1%)

Error

0.6b

Counts

4 → 45

Calls

4 calls:

329.0ms	(+.f64 (+.f64 (.f64 50 (.f64 i n)) (+.f64 (.f64 n 100) (.f64 (.f64 i (/.f64 i n)) 100/3))) (.f64 -50 (+.f64 i (*.f64 i i))))
211.0ms	(+.f64 (.f64 50 (.f64 i n)) (+.f64 (.f64 n 100) (.f64 (*.f64 i (/.f64 i n)) 100/3)))
87.0ms	(.f64 (.f64 i (/.f64 i n)) 100/3)
56.0ms	(.f64 50 (.f64 i n))

Compiler

Compiled 2446 to 1737 computations (29% saved)

simplify95.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4960	2757
1	4960	2757

prune142.0ms (0.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	117	12	129

Error

0.6b

Counts

129 → 12

Compiler

Compiled 3334 to 1757 computations (47.3% saved)

regimes1.7s (9.6%)

Accuracy

Total 11.5b remaining (96%)

Threshold costs 0b (0%)

Compiler

Compiled 18410 to 12324 computations (33.1% saved)

bsearch106.0ms (0.6%)

Steps

Iters	Range		Point
9	1.5625204336908017e-05	3.9368834004998026	0.0003472903295357634
3	-4.586791805446216e-26	-3.8453498337396234e-26	-4.540451682214554e-26

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	191	155
1	191	155

end0.0ms (0%)

sample7.8s (43.7%)

Algorithm

1×

intervals

Results

2.1s	1739×	body	2048	valid
1.4s	2580×	body	1024	valid
313.0ms	1262×	body	512	valid
113.0ms	1821×	body	128	valid
105.0ms	175×	body	1024	invalid
86.0ms	227×	body	512	invalid
74.0ms	565×	body	256	valid
69.0ms	33×	body	4096	valid
45.0ms	495×	body	128	invalid
35.0ms	164×	body	256	invalid
16.0ms	17×	body	2048	invalid
15.0ms	336×	body	128	nan

Compiler

Compiled 4661 to 3119 computations (33.1% saved)

Details

analyze929.0ms (5.2%)

sample151.0ms (0.8%)

simplify79.0ms (0.4%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite1.0s (5.7%)

series1.2s (6.6%)

simplify159.0ms (0.9%)

prune908.0ms (5.1%)

localize18.0ms (0.1%)

rewrite242.0ms (1.4%)

series726.0ms (4.1%)

simplify87.0ms (0.5%)

prune260.0ms (1.5%)

localize21.0ms (0.1%)

rewrite237.0ms (1.3%)

series730.0ms (4.1%)

simplify111.0ms (0.6%)

prune251.0ms (1.4%)

localize16.0ms (0.1%)

rewrite142.0ms (0.8%)

series726.0ms (4.1%)

simplify95.0ms (0.5%)

prune142.0ms (0.8%)

regimes1.7s (9.6%)

bsearch106.0ms (0.6%)

simplify6.0ms (0%)

end0.0ms (0%)

sample7.8s (43.7%)

Profiling