Details

analyze109.0ms (1.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	14%	86%	0
0%	14%	86%	1
0%	14%	86%	2
0%	14%	86%	3
0%	14%	86%	4
0%	14%	86%	5
0%	14%	86%	6
8.1%	5.9%	86%	7
10.3%	3.7%	86%	8
12.6%	1.5%	86%	9
13.9%	0.1%	86%	10
14%	0%	86%	11
14%	0%	86%	12
14%	0%	86%	13
14%	0%	86%	14

Compiler

Compiled 66 to 34 computations (48.5% saved)

sample46.0ms (0.6%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
6.0ms	256×	pre	128	true

Compiler

Compiled 125 to 64 computations (48.8% saved)

simplify46.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

705×	`associate-+l+_binary64`
492×	`associate-l_binary64`
422×	`associate-r_binary64`
369×	`times-frac_binary64`
336×	`associate-/l*_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	79
1	65	79
2	280	79
3	1518	79
4	4862	79
5	5395	79

prune5.0ms (0.1%)

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

55.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	55.5b	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) 1))

Status

Error

Program

▶

55.5b

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

Compiler

Compiled 168 to 81 computations (51.8% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))
0.1b	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))
38.4b	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) 1))
47.3b	(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))

rewrite917.0ms (11.9%)

Algorithm

1×	rewrite-expression-head

Error

37.7b

Rules

86×	`times-frac_binary64`
66×	`flip3-+_binary64` `flip-+_binary64` `associate-/r/_binary64`
61×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
46×	`add-sqr-sqrt_binary64`
44×	`*-un-lft-identity_binary64` `frac-times_binary64`

Counts

4 → 228

Calls

4 calls:

40.0ms	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) 1))
26.0ms	(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))
18.0ms	(.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))
12.0ms	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))

Compiler

Compiled 17676 to 6571 computations (62.8% saved)

series2.0s (26%)

Error

11.6b

Counts

4 → 87

Calls

4 calls:

1.4s	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) 1))
221.0ms	(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))
134.0ms	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))
72.0ms	(.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))

Compiler

Compiled 23083 to 15581 computations (32.5% saved)

simplify398.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

502×	`distribute-rgt-in_binary64`
473×	`distribute-lft-in_binary64`
234×	`*-commutative_binary64`
190×	`+-commutative_binary64`
144×	`associate-/l*_binary64`

Counts

315 → 296

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	872	27102
1	2964	25063
2	5821	25063

prune293.0ms (3.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	290	6	296
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	291	6	297

Error

12.2b

Counts

297 → 6

Alt Table

Status	Error	Program
	63.5b	(/.f64 i (/.f64 (*.f64 alpha alpha) (+.f64 beta i)))
	59.3b	(-.f64 (+.f64 (/.f64 (.f64 i i) (.f64 beta beta)) (/.f64 (.f64 alpha i) (.f64 beta beta))) (+.f64 (.f64 3 (/.f64 (.f64 (.f64 alpha alpha) i) (pow.f64 beta 3))) (+.f64 (.f64 6 (/.f64 (pow.f64 i 3) (pow.f64 beta 3))) (.f64 9 (/.f64 (.f64 alpha (*.f64 i i)) (pow.f64 beta 3))))))
▶	21.7b	(-.f64 (+.f64 1/16 (/.f64 1/64 (.f64 i i))) (.f64 1/32 (+.f64 (/.f64 (.f64 alpha alpha) (.f64 i i)) (/.f64 (.f64 beta beta) (.f64 i i)))))
	41.5b	(/.f64 (/.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (/.f64 (+.f64 alpha (+.f64 beta (.f64 2 i))) (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 alpha (+.f64 beta i)))) (+.f64 alpha (+.f64 beta (.f64 2 i)))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) 1))
	37.8b	(.f64 (/.f64 (/.f64 (.f64 i (+.f64 alpha (+.f64 beta i))) (+.f64 alpha (+.f64 beta (.f64 2 i)))) (+.f64 1 (+.f64 alpha (+.f64 beta (.f64 2 i))))) (/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 alpha (+.f64 beta i)))) (+.f64 alpha (+.f64 beta (.f64 2 i)))) (-.f64 (+.f64 alpha (+.f64 beta (.f64 2 i))) 1)))
	57.2b	(/.f64 i (/.f64 (*.f64 beta beta) (+.f64 alpha i)))

Compiler

Compiled 16133 to 7313 computations (54.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 alpha alpha) (.f64 i i)) (/.f64 (.f64 beta beta) (.f64 i i)))
0.4b	(/.f64 1/64 (*.f64 i i))
2.7b	(/.f64 (.f64 alpha alpha) (.f64 i i))
20.0b	(/.f64 (.f64 beta beta) (.f64 i i))

rewrite138.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

8.3b

Rules

33×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`div-exp_binary64` `cbrt-undiv_binary64`
9×	`prod-exp_binary64` `cbrt-unprod_binary64`
8×	`*-un-lft-identity_binary64`
6×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`

Counts

4 → 77

Calls

4 calls:

10.0ms	(+.f64 (/.f64 (.f64 alpha alpha) (.f64 i i)) (/.f64 (.f64 beta beta) (.f64 i i)))
6.0ms	(/.f64 1/64 (*.f64 i i))
6.0ms	(/.f64 (.f64 alpha alpha) (.f64 i i))
6.0ms	(/.f64 (.f64 beta beta) (.f64 i i))

Compiler

Compiled 2460 to 805 computations (67.3% saved)

series119.0ms (1.6%)

Error

8.3b

Counts

4 → 27

Calls

4 calls:

53.0ms	(+.f64 (/.f64 (.f64 alpha alpha) (.f64 i i)) (/.f64 (.f64 beta beta) (.f64 i i)))
24.0ms	(/.f64 (.f64 alpha alpha) (.f64 i i))
23.0ms	(/.f64 (.f64 beta beta) (.f64 i i))
8.0ms	(/.f64 1/64 (*.f64 i i))

Compiler

Compiled 1514 to 1073 computations (29.1% saved)

simplify104.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

765×	`associate-/l*_binary64`
682×	`associate-*l/_binary64`
488×	`associate-*r/_binary64`
422×	`associate-/r*_binary64`
291×	`unswap-sqr_binary64`

Counts

104 → 77

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	137	1568
1	339	1369
2	1202	1265
3	4278	1237
4	4977	1237
5	4959	1237

prune56.0ms (0.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	76	7	83

Error

8.3b

Counts

83 → 7

Alt Table

Status	Error	Program
	63.5b	(/.f64 i (/.f64 (*.f64 alpha alpha) (+.f64 beta i)))
	59.3b	(-.f64 (+.f64 (/.f64 (.f64 i i) (.f64 beta beta)) (/.f64 (.f64 alpha i) (.f64 beta beta))) (+.f64 (.f64 3 (/.f64 (.f64 (.f64 alpha alpha) i) (pow.f64 beta 3))) (+.f64 (.f64 6 (/.f64 (pow.f64 i 3) (pow.f64 beta 3))) (.f64 9 (/.f64 (.f64 alpha (*.f64 i i)) (pow.f64 beta 3))))))
	41.5b	(/.f64 (/.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (/.f64 (+.f64 alpha (+.f64 beta (.f64 2 i))) (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 alpha (+.f64 beta i)))) (+.f64 alpha (+.f64 beta (.f64 2 i)))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) 1))
	17.8b	(-.f64 (+.f64 1/16 (/.f64 1/64 (.f64 i i))) (.f64 1/32 (+.f64 (/.f64 (.f64 alpha alpha) (.f64 i i)) (cbrt.f64 (pow.f64 (/.f64 beta i) 6)))))
	37.8b	(.f64 (/.f64 (/.f64 (.f64 i (+.f64 alpha (+.f64 beta i))) (+.f64 alpha (+.f64 beta (.f64 2 i)))) (+.f64 1 (+.f64 alpha (+.f64 beta (.f64 2 i))))) (/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 alpha (+.f64 beta i)))) (+.f64 alpha (+.f64 beta (.f64 2 i)))) (-.f64 (+.f64 alpha (+.f64 beta (.f64 2 i))) 1)))
	57.2b	(/.f64 i (/.f64 (*.f64 beta beta) (+.f64 alpha i)))
▶	17.1b	(-.f64 (+.f64 1/16 (/.f64 1/64 (.f64 i i))) (.f64 1/32 (/.f64 (.f64 alpha alpha) (.f64 i i))))

Compiler

Compiled 1419 to 644 computations (54.6% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.4b	(/.f64 1/64 (*.f64 i i))
2.7b	(/.f64 (.f64 alpha alpha) (.f64 i i))

rewrite71.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

8.0b

Rules

19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`div-exp_binary64` `cbrt-undiv_binary64`
5×	`prod-exp_binary64` `cbrt-unprod_binary64`
4×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64` `-un-lft-identity_binary64` `associate-/l_binary64`
2×	`pow1_binary64` `add-log-exp_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r*_binary64`

Counts

2 → 42

Calls

2 calls:

6.0ms	(/.f64 (.f64 alpha alpha) (.f64 i i))
4.0ms	(/.f64 1/64 (*.f64 i i))

Compiler

Compiled 951 to 430 computations (54.8% saved)

series32.0ms (0.4%)

Error

8.3b

Counts

2 → 9

Calls

2 calls:

22.0ms	(/.f64 (.f64 alpha alpha) (.f64 i i))
8.0ms	(/.f64 1/64 (*.f64 i i))

Compiler

Compiled 397 to 309 computations (22.2% saved)

simplify100.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

553×	`times-frac_binary64`
386×	`cancel-sign-sub-inv_binary64`
360×	`associate-/l*_binary64`
339×	`unswap-sqr_binary64`
322×	`*-commutative_binary64`

Counts

51 → 36

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	80	691
1	167	512
2	512	478
3	2037	455
4	2931	455
5	4048	425
6	4993	425
7	4914	425

prune36.0ms (0.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	36	7	43

Error

8.0b

Counts

43 → 7

Alt Table

Status	Error	Program
	63.5b	(/.f64 i (/.f64 (*.f64 alpha alpha) (+.f64 beta i)))
	59.3b	(-.f64 (+.f64 (/.f64 (.f64 i i) (.f64 beta beta)) (/.f64 (.f64 alpha i) (.f64 beta beta))) (+.f64 (.f64 3 (/.f64 (.f64 (.f64 alpha alpha) i) (pow.f64 beta 3))) (+.f64 (.f64 6 (/.f64 (pow.f64 i 3) (pow.f64 beta 3))) (.f64 9 (/.f64 (.f64 alpha (*.f64 i i)) (pow.f64 beta 3))))))
	41.5b	(/.f64 (/.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (/.f64 (+.f64 alpha (+.f64 beta (.f64 2 i))) (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 alpha (+.f64 beta i)))) (+.f64 alpha (+.f64 beta (.f64 2 i)))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) 1))
▶	16.8b	(-.f64 (+.f64 1/16 (/.f64 1/64 (.f64 i i))) (.f64 1/32 (pow.f64 (/.f64 alpha i) 2)))
	17.8b	(-.f64 (+.f64 1/16 (/.f64 1/64 (.f64 i i))) (.f64 1/32 (+.f64 (/.f64 (.f64 alpha alpha) (.f64 i i)) (cbrt.f64 (pow.f64 (/.f64 beta i) 6)))))
	37.8b	(.f64 (/.f64 (/.f64 (.f64 i (+.f64 alpha (+.f64 beta i))) (+.f64 alpha (+.f64 beta (.f64 2 i)))) (+.f64 1 (+.f64 alpha (+.f64 beta (.f64 2 i))))) (/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 alpha (+.f64 beta i)))) (+.f64 alpha (+.f64 beta (.f64 2 i)))) (-.f64 (+.f64 alpha (+.f64 beta (.f64 2 i))) 1)))
	57.2b	(/.f64 i (/.f64 (*.f64 beta beta) (+.f64 alpha i)))

Compiler

Compiled 792 to 467 computations (41% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(pow.f64 (/.f64 alpha i) 2)
0.4b	(/.f64 1/64 (*.f64 i i))

rewrite77.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

8.0b

Rules

13×	`unpow-prod-down_binary64`
12×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64` `*-un-lft-identity_binary64`
10×	`add-exp-log_binary64`
7×	`add-cbrt-cube_binary64`
3×	`pow1_binary64` `div-exp_binary64` `associate-/l*_binary64` `pow-unpow_binary64`

Counts

2 → 50

Calls

2 calls:

4.0ms	(/.f64 1/64 (*.f64 i i))
4.0ms	(pow.f64 (/.f64 alpha i) 2)

Compiler

Compiled 1031 to 649 computations (37.1% saved)

series32.0ms (0.4%)

Error

8.0b

Counts

2 → 9

Calls

2 calls:

21.0ms	(pow.f64 (/.f64 alpha i) 2)
8.0ms	(/.f64 1/64 (*.f64 i i))

Compiler

Compiled 383 to 310 computations (19.1% saved)

simplify93.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

653×	`associate-/l/_binary64`
546×	`log-prod_binary64`
339×	`*-commutative_binary64`
306×	`log-div_binary64`
291×	`sqr-pow_binary64`

Counts

59 → 42

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	118	719
1	243	588
2	519	563
3	1625	558
4	3376	548
5	4576	548
6	5092	548

prune38.0ms (0.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	42	7	49

Error

8.0b

Counts

49 → 7

Alt Table

Status	Error	Program
	63.5b	(/.f64 i (/.f64 (*.f64 alpha alpha) (+.f64 beta i)))
	59.3b	(-.f64 (+.f64 (/.f64 (.f64 i i) (.f64 beta beta)) (/.f64 (.f64 alpha i) (.f64 beta beta))) (+.f64 (.f64 3 (/.f64 (.f64 (.f64 alpha alpha) i) (pow.f64 beta 3))) (+.f64 (.f64 6 (/.f64 (pow.f64 i 3) (pow.f64 beta 3))) (.f64 9 (/.f64 (.f64 alpha (*.f64 i i)) (pow.f64 beta 3))))))
	41.5b	(/.f64 (/.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (/.f64 (+.f64 alpha (+.f64 beta (.f64 2 i))) (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 alpha (+.f64 beta i)))) (+.f64 alpha (+.f64 beta (.f64 2 i)))))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) 1))
	17.8b	(-.f64 (+.f64 1/16 (/.f64 1/64 (.f64 i i))) (.f64 1/32 (+.f64 (/.f64 (.f64 alpha alpha) (.f64 i i)) (cbrt.f64 (pow.f64 (/.f64 beta i) 6)))))
	16.8b	(-.f64 (+.f64 1/16 (/.f64 1/64 (.f64 i i))) (.f64 1/32 (.f64 alpha (/.f64 alpha (.f64 i i)))))
	37.8b	(.f64 (/.f64 (/.f64 (.f64 i (+.f64 alpha (+.f64 beta i))) (+.f64 alpha (+.f64 beta (.f64 2 i)))) (+.f64 1 (+.f64 alpha (+.f64 beta (.f64 2 i))))) (/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 alpha (+.f64 beta i)))) (+.f64 alpha (+.f64 beta (.f64 2 i)))) (-.f64 (+.f64 alpha (+.f64 beta (.f64 2 i))) 1)))
	57.2b	(/.f64 i (/.f64 (*.f64 beta beta) (+.f64 alpha i)))

Compiler

Compiled 642 to 389 computations (39.4% saved)

regimes1.3s (16.9%)

Accuracy

Total 2.7b remaining (25.8%)

Threshold costs 0b (0%)

Compiler

Compiled 24940 to 13933 computations (44.1% saved)

bsearch13.0ms (0.2%)

Steps

Iters	Range		Point
2	3.4989617458698836e+140	3.8028263511882513e+140	3.764843275523455e+140

Compiler

Compiled 4 to 3 computations (25% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative_binary64`
10×	`*-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
2×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	113
1	59	113
2	66	113
3	76	113
4	84	113
5	89	113
6	91	113
7	88	113

end10.0ms (0.1%)

Compiler: Compiled 237 to 138 computations (41.8% saved)

sample1.6s (20.8%)

Algorithm

1×

intervals

Results

657.0ms	8000×	body	128	valid
174.0ms	8000×	pre	128	true

Compiler

Compiled 385 to 225 computations (41.6% saved)

Details

analyze109.0ms (1.4%)

sample46.0ms (0.6%)

simplify46.0ms (0.6%)

prune5.0ms (0.1%)

localize20.0ms (0.3%)

rewrite917.0ms (11.9%)

series2.0s (26%)

simplify398.0ms (5.2%)

prune293.0ms (3.8%)

localize13.0ms (0.2%)

rewrite138.0ms (1.8%)

series119.0ms (1.6%)

simplify104.0ms (1.4%)

prune56.0ms (0.7%)

localize9.0ms (0.1%)

rewrite71.0ms (0.9%)

series32.0ms (0.4%)

simplify100.0ms (1.3%)

prune36.0ms (0.5%)

localize9.0ms (0.1%)

rewrite77.0ms (1%)

series32.0ms (0.4%)

simplify93.0ms (1.2%)

prune38.0ms (0.5%)

regimes1.3s (16.9%)

bsearch13.0ms (0.2%)

simplify7.0ms (0.1%)

end10.0ms (0.1%)

sample1.6s (20.8%)

Profiling