Details

analyze204.0ms (1.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	28.1%	71.9%	0
0%	28.1%	71.9%	1
0%	28.1%	71.9%	2
0%	28.1%	71.9%	3
3.5%	24.6%	71.9%	4
5.3%	22.8%	71.9%	5
10.5%	17.5%	71.9%	6
14%	14%	71.9%	7
19.1%	9%	71.9%	8
24.6%	3.5%	71.9%	9
25.1%	3%	71.9%	10
25.8%	2.3%	71.9%	11
26.3%	1.8%	71.9%	12
26.6%	1.5%	71.9%	13
26.9%	1.2%	71.9%	14

Compiler

Compiled 42 to 27 computations (35.7% saved)

sample39.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	208×	body	128	valid
6.0ms	256×	pre	128	true
4.0ms	17×	body	1024	valid
4.0ms	22×	body	512	valid
1.0ms	7×	body	256	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 77 to 50 computations (35.1% saved)

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

847×	`times-frac_binary64`
817×	`distribute-rgt-in_binary64`
748×	`distribute-lft-in_binary64`
576×	`sub-neg_binary64`
537×	`div-sub_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	34	43
2	106	43
3	409	43
4	1505	43
5	2316	43
6	3123	43
7	4954	43
8	4973	43
9	5371	43

prune6.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

23.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	23.3b	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)

Compiler

Compiled 96 to 60 computations (37.5% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b

(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))

1.4b

(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)

18.9b

(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))

rewrite395.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

11.6b

Rules

54×	`times-frac_binary64`
47×	`*-un-lft-identity_binary64`
25×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`associate-/r/_binary64`

Counts

3 → 111

Calls

3 calls:

33.0ms

(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)

27.0ms

(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))

15.0ms

(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))

Compiler

Compiled 4869 to 2450 computations (49.7% saved)

series892.0ms (7.2%)

Error

0.3b

Counts

3 → 72

Calls

3 calls:

401.0ms

(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)

292.0ms

(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))

91.0ms

(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))

Compiler

Compiled 11913 to 8954 computations (24.8% saved)

simplify178.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

691×	`times-frac_binary64`
318×	`distribute-rgt-in_binary64`
304×	`distribute-lft-in_binary64`
152×	`associate-/l/_binary64`
144×	`+-commutative_binary64`

Counts

183 → 164

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	608	10593
1	1982	10284
2	4994	10284

prune215.0ms (1.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	159	5	164
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	160	5	165

Error

0.0b

Counts

165 → 5

Alt Table

Status	Error	Program
	48.4b	(/.f64 (-.f64 (+.f64 (.f64 12 (.f64 (/.f64 i beta) (/.f64 i beta))) (+.f64 (.f64 12 (+.f64 (/.f64 i (.f64 beta beta)) (.f64 (/.f64 alpha beta) (/.f64 i beta)))) (+.f64 (/.f64 4 (.f64 beta beta)) (+.f64 (.f64 6 (/.f64 alpha (.f64 beta beta))) (+.f64 2 (.f64 2 (.f64 (/.f64 alpha beta) (/.f64 alpha beta)))))))) (+.f64 (/.f64 2 beta) (+.f64 (.f64 2 (/.f64 alpha beta)) (.f64 4 (/.f64 i beta))))) 2)
	11.9b	(/.f64 (+.f64 (.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (*.f64 2 i) (+.f64 beta alpha))))) 1) 2)
	51.1b	(/.f64 (-.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 4 (/.f64 i alpha)) (/.f64 2 alpha))) (+.f64 (.f64 6 (/.f64 beta (.f64 alpha alpha))) (+.f64 (.f64 12 (/.f64 i (.f64 alpha alpha))) (+.f64 (.f64 12 (+.f64 (.f64 (/.f64 beta alpha) (/.f64 i alpha)) (.f64 (/.f64 i alpha) (/.f64 i alpha)))) (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha)))))))) 2)
▶	11.9b	(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha)) (-.f64 beta alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	50.1b	(/.f64 (/.f64 (+.f64 (.f64 i 4) (+.f64 2 (.f64 beta 2))) alpha) 2)

Compiler

Compiled 7185 to 3932 computations (45.3% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha)) (-.f64 beta alpha))
0.1b	(/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha)) (-.f64 beta alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2))
0.1b	(/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha)) (-.f64 beta alpha)))
1.4b	(+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha)) (-.f64 beta alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1)

rewrite952.0ms (7.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

1250×	`times-frac_binary64`
1055×	`*-un-lft-identity_binary64`
619×	`add-sqr-sqrt_binary64`
461×	`add-cube-cbrt_binary64`
218×	`distribute-lft-out_binary64`

Counts

4 → 645

Calls

4 calls:

131.0ms	(+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha)) (-.f64 beta alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1)
42.0ms	(/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha)) (-.f64 beta alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2))
19.0ms	(/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha)) (-.f64 beta alpha)))
12.0ms	(/.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha)) (-.f64 beta alpha))

Compiler

Compiled 21267 to 10457 computations (50.8% saved)

series936.0ms (7.6%)

Error

0.0b

Counts

4 → 90

Calls

4 calls:

402.0ms	(+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha)) (-.f64 beta alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1)
289.0ms	(/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha)) (-.f64 beta alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2))
91.0ms	(/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha)) (-.f64 beta alpha)))
53.0ms	(/.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha)) (-.f64 beta alpha))

Compiler

Compiled 13284 to 9852 computations (25.8% saved)

simplify724.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

742×	`times-frac_binary64`
324×	`distribute-rgt-in_binary64`
314×	`associate-/l/_binary64`
155×	`+-commutative_binary64`
143×	`associate-/r/_binary64`

Counts

735 → 681

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1096	44762
1	3107	44256
2	5230	44256

prune605.0ms (4.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	680	1	681
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	681	5	686

Error

0.0b

Counts

686 → 5

Alt Table

Status	Error	Program
▶	11.9b	(/.f64 (+.f64 (.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (*.f64 2 i) (+.f64 beta alpha))))) 1) 2)
	51.1b	(/.f64 (-.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 4 (/.f64 i alpha)) (/.f64 2 alpha))) (+.f64 (.f64 6 (/.f64 beta (.f64 alpha alpha))) (+.f64 (.f64 12 (/.f64 i (.f64 alpha alpha))) (+.f64 (.f64 12 (+.f64 (.f64 (/.f64 beta alpha) (/.f64 i alpha)) (.f64 (/.f64 i alpha) (/.f64 i alpha)))) (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha)))))))) 2)
	12.2b	(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha))) (cbrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha)))) (/.f64 (cbrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha))) (-.f64 beta alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
✓	11.9b	(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha)) (-.f64 beta alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	50.1b	(/.f64 (/.f64 (+.f64 (.f64 i 4) (+.f64 2 (.f64 beta 2))) alpha) 2)

Compiler

Compiled 21411 to 10629 computations (50.4% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 beta alpha)))
0.1b	(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (.f64 2 i) (+.f64 beta alpha))))
2.1b	(.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (*.f64 2 i) (+.f64 beta alpha)))))
2.3b	(+.f64 (.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (*.f64 2 i) (+.f64 beta alpha))))) 1)

rewrite537.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

321×	`times-frac_binary64`
290×	`*-un-lft-identity_binary64`
211×	`add-sqr-sqrt_binary64`
140×	`add-cube-cbrt_binary64`
90×	`associate-r_binary64`

Counts

4 → 295

Calls

4 calls:

50.0ms	(.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (*.f64 2 i) (+.f64 beta alpha)))))
30.0ms	(+.f64 (.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (*.f64 2 i) (+.f64 beta alpha))))) 1)
21.0ms	(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (.f64 2 i) (+.f64 beta alpha))))
11.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 beta alpha)))

Compiler

Compiled 11516 to 6062 computations (47.4% saved)

series1.1s (9.1%)

Error

0.0b

Counts

4 → 93

Calls

4 calls:

404.0ms	(+.f64 (.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (*.f64 2 i) (+.f64 beta alpha))))) 1)
296.0ms	(.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (*.f64 2 i) (+.f64 beta alpha)))))
215.0ms	(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (.f64 2 i) (+.f64 beta alpha))))
87.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 beta alpha)))

Compiler

Compiled 15970 to 11848 computations (25.8% saved)

simplify332.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

779×	`times-frac_binary64`
395×	`distribute-rgt-in_binary64`
225×	`*-commutative_binary64`
196×	`+-commutative_binary64`
180×	`sub-neg_binary64`

Counts

388 → 355

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	874	20517
1	2752	20033
2	5442	20033

prune411.0ms (3.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	355	0	355
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	355	5	360

Error

0.0b

Counts

360 → 5

Alt Table

Status	Error	Program
✓	11.9b	(/.f64 (+.f64 (.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (*.f64 2 i) (+.f64 beta alpha))))) 1) 2)
	51.1b	(/.f64 (-.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 4 (/.f64 i alpha)) (/.f64 2 alpha))) (+.f64 (.f64 6 (/.f64 beta (.f64 alpha alpha))) (+.f64 (.f64 12 (/.f64 i (.f64 alpha alpha))) (+.f64 (.f64 12 (+.f64 (.f64 (/.f64 beta alpha) (/.f64 i alpha)) (.f64 (/.f64 i alpha) (/.f64 i alpha)))) (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha)))))))) 2)
▶	12.2b	(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha))) (cbrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha)))) (/.f64 (cbrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha))) (-.f64 beta alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
✓	11.9b	(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha)) (-.f64 beta alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	50.1b	(/.f64 (/.f64 (+.f64 (.f64 i 4) (+.f64 2 (.f64 beta 2))) alpha) 2)

Compiler

Compiled 13755 to 7433 computations (46% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha)))
0.6b	(cbrt.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha)))
0.6b	(cbrt.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha)))
8.4b	(+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha))) (cbrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha)))) (/.f64 (cbrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha))) (-.f64 beta alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1)

rewrite202.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`*-un-lft-identity_binary64` `cbrt-prod_binary64`
7×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64` `cbrt-div_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3-+_binary64` `flip-+_binary64`
3×	`pow1/3_binary64`

Counts

4 → 51

Calls

4 calls:

73.0ms	(+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha))) (cbrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha)))) (/.f64 (cbrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha))) (-.f64 beta alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1)
6.0ms	(cbrt.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha)))
6.0ms	(cbrt.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha)))
6.0ms	(cbrt.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha)))

Compiler

Compiled 3314 to 1836 computations (44.6% saved)

series725.0ms (5.9%)

Error

0.0b

Counts

4 → 68

Calls

4 calls:

401.0ms	(+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha))) (cbrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha)))) (/.f64 (cbrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha))) (-.f64 beta alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1)
74.0ms	(cbrt.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha)))
73.0ms	(cbrt.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha)))
72.0ms	(cbrt.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha)))

Compiler

Compiled 12598 to 8990 computations (28.6% saved)

simplify137.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

421×	`times-frac_binary64`
309×	`associate-/r*_binary64`
277×	`associate-/l*_binary64`
228×	`associate-+r+_binary64`
202×	`associate-r_binary64`

Counts

119 → 103

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	373	4717
1	1187	4534
2	4848	4495
3	4966	4495

prune179.0ms (1.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	103	5	108

Error

0.0b

Counts

108 → 5

Alt Table

Status	Error	Program
	11.9b	(/.f64 (+.f64 (.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (*.f64 2 i) (+.f64 beta alpha))))) 1) 2)
	51.1b	(/.f64 (-.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 4 (/.f64 i alpha)) (/.f64 2 alpha))) (+.f64 (.f64 6 (/.f64 beta (.f64 alpha alpha))) (+.f64 (.f64 12 (/.f64 i (.f64 alpha alpha))) (+.f64 (.f64 12 (+.f64 (.f64 (/.f64 beta alpha) (/.f64 i alpha)) (.f64 (/.f64 i alpha) (/.f64 i alpha)))) (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha)))))))) 2)
	12.2b	(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha))) (cbrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha)))) (/.f64 (cbrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha))) (-.f64 beta alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	11.9b	(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha)) (-.f64 beta alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	50.1b	(/.f64 (/.f64 (+.f64 (.f64 i 4) (+.f64 2 (.f64 beta 2))) alpha) 2)

Compiler

Compiled 5883 to 3449 computations (41.4% saved)

regimes2.0s (16.4%)

Accuracy

Total 1.2b remaining (95.6%)

Threshold costs 0b (0%)

Compiler

Compiled 41573 to 26840 computations (35.4% saved)

bsearch8.0ms (0.1%)

Compiler: Compiled 28 to 16 computations (42.9% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

35×	`+-commutative_binary64`
30×	`*-commutative_binary64`
22×	`sub-neg_binary64`
20×	`neg-mul-1_binary64` `neg-sub0_binary64`
12×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	185
1	78	185
2	89	185
3	110	185
4	137	185
5	166	185
6	201	185
7	231	185
8	247	185
9	254	185
10	256	185
11	251	185

end2.0ms (0%)

Compiler: Compiled 127 to 68 computations (46.5% saved)

sample1.4s (11.3%)

Algorithm

1×

intervals

Results

396.0ms	6509×	body	128	valid
181.0ms	8000×	pre	128	true
153.0ms	678×	body	1024	valid
84.0ms	476×	body	512	valid
31.0ms	280×	body	256	valid
16.0ms	57×	body	2048	valid

Compiler

Compiled 373 to 221 computations (40.8% saved)

Iter	Nodes	Cost
0	54	185
1	78	185
2	89	185
3	110	185
4	137	185
5	166	185
6	201	185
7	231	185
8	247	185
9	254	185
10	256	185
11	251	185

Iter	Nodes	Cost
0	54	185
1	78	185
2	89	185
3	110	185
4	137	185
5	166	185
6	201	185
7	231	185
8	247	185
9	254	185
10	256	185
11	251	185

Details

analyze204.0ms (1.6%)

sample39.0ms (0.3%)

simplify76.0ms (0.6%)

prune6.0ms (0%)

localize12.0ms (0.1%)

rewrite395.0ms (3.2%)

series892.0ms (7.2%)

simplify178.0ms (1.4%)

prune215.0ms (1.7%)

localize17.0ms (0.1%)

rewrite952.0ms (7.7%)

series936.0ms (7.6%)

simplify724.0ms (5.9%)

prune605.0ms (4.9%)

localize13.0ms (0.1%)

rewrite537.0ms (4.3%)

series1.1s (9.1%)

simplify332.0ms (2.7%)

prune411.0ms (3.3%)

localize19.0ms (0.2%)

rewrite202.0ms (1.6%)

series725.0ms (5.9%)

simplify137.0ms (1.1%)

prune179.0ms (1.4%)

regimes2.0s (16.4%)

bsearch8.0ms (0.1%)

simplify14.0ms (0.1%)

end2.0ms (0%)

sample1.4s (11.3%)

Profiling

Iter	Nodes	Cost
0	54	185
1	78	185
2	89	185
3	110	185
4	137	185
5	166	185
6	201	185
7	231	185
8	247	185
9	254	185
10	256	185
11	251	185