Details

analyze185.0ms (0.8%)

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 43 to 28 computations (34.9% saved)

sample48.0ms (0.2%)

Algorithm

1×

intervals

Results

15.0ms	210×	body	128	valid
6.0ms	256×	pre	128	true
6.0ms	17×	body	512	valid
5.0ms	18×	body	1024	valid
1.0ms	4×	body	2048	valid
1.0ms	7×	body	256	valid

Compiler

Compiled 78 to 51 computations (34.6% saved)

simplify45.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	34	39
2	110	37
3	435	37
4	1672	37
5	2494	37
6	3358	37
7	5392	37

prune5.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

18.7b

Counts

3 → 2

Alt Table

Status	Error	Program
	23.4b	(/.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)
▶	18.8b	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))) 1) 2)

Status

Error

Program

23.4b

(/.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)

▶

18.8b

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

Compiler

Compiled 180 to 106 computations (41.1% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 2 i (+.f64 alpha beta))
✓	0.0b	(*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))
✓	12.8b	(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))) 1)
✓	17.3b	(/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))))

series835.0ms (3.5%)

Counts

4 → 144

Calls

4 calls:

512.0ms	(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))) 1)
290.0ms	(/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))))
27.0ms	(*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))
6.0ms	(fma.f64 2 i (+.f64 alpha beta))

rewrite18.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64`
14×	`add-sqr-sqrt_binary64`
11×	`add-cbrt-cube_binary64`
11×	`add-exp-log_binary64`
8×	`add-cube-cbrt_binary64`

Counts

4 → 77

Calls

4 calls:

7.0ms	(/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))))
4.0ms	(*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))
0.0ms	(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))) 1)
0.0ms	(fma.f64 2 i (+.f64 alpha beta))

simplify232.0ms (1%)

Algorithm

1×	egg-herbie

Rules

562×	`+-commutative_binary64`
490×	`fma-def_binary64`
488×	`associate-+r+_binary64`
392×	`*-commutative_binary64`
294×	`associate-*r/_binary64`

Counts

221 → 227

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1405	20324
1	5456	20324

prune581.0ms (2.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	245	4	249
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	247	4	251

Error

0.1b

Counts

251 → 4

Alt Table

Status	Error	Program
	18.8b	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 beta (fma.f64 2 alpha (fma.f64 4 (.f64 i beta) (fma.f64 4 (.f64 alpha i) (+.f64 (.f64 alpha alpha) (+.f64 (.f64 beta beta) (fma.f64 4 i (fma.f64 2 (.f64 alpha beta) (.f64 4 (*.f64 i i))))))))))) 1) 2)
▶	12.7b	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))) 1) 2)
	52.6b	(/.f64 (-.f64 (+.f64 (/.f64 2 alpha) (fma.f64 2 (/.f64 beta alpha) (.f64 4 (/.f64 i alpha)))) (+.f64 (/.f64 4 (.f64 alpha alpha)) (fma.f64 12 (/.f64 (.f64 i i) (.f64 alpha alpha)) (fma.f64 12 (/.f64 (.f64 i beta) (.f64 alpha alpha)) (fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (fma.f64 12 (/.f64 i (.f64 alpha alpha)) (.f64 2 (/.f64 (.f64 beta beta) (*.f64 alpha alpha))))))))) 2)
	49.1b	(/.f64 (/.f64 (fma.f64 2 beta (+.f64 2 (*.f64 i 4))) alpha) 2)

Compiler

Compiled 25945 to 16566 computations (36.1% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 2 i (+.f64 alpha beta))
✓	0.1b	(/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))
✓	0.1b	(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))
✓	12.8b	(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))) 1)

series894.0ms (3.8%)

Counts

3 → 108

Calls

3 calls:

551.0ms

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

296.0ms

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

46.0ms

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

rewrite39.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

166×	`times-frac_binary64`
156×	`*-un-lft-identity_binary64`
116×	`add-sqr-sqrt_binary64`
78×	`add-cube-cbrt_binary64`
24×	`associate-/l*_binary64`

Counts

3 → 169

Calls

3 calls:

9.0ms

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

4.0ms

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

0.0ms

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

simplify260.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

490×	`fma-def_binary64`
477×	`associate-+r+_binary64`
326×	`associate-*r/_binary64`
177×	`associate-/l*_binary64`
171×	`associate-/r*_binary64`

Counts

277 → 297

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1591	25853
1	5046	25853

prune668.0ms (2.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	340	1	341
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	341	4	345

Error

0.1b

Counts

345 → 4

Alt Table

Status	Error	Program
▶	12.7b	(/.f64 (log.f64 (exp.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))) 1))) 2)
	52.6b	(/.f64 (-.f64 (+.f64 (/.f64 2 alpha) (fma.f64 2 (/.f64 beta alpha) (.f64 4 (/.f64 i alpha)))) (+.f64 (/.f64 4 (.f64 alpha alpha)) (fma.f64 12 (/.f64 (.f64 i i) (.f64 alpha alpha)) (fma.f64 12 (/.f64 (.f64 i beta) (.f64 alpha alpha)) (fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (fma.f64 12 (/.f64 i (.f64 alpha alpha)) (.f64 2 (/.f64 (.f64 beta beta) (*.f64 alpha alpha))))))))) 2)
	49.1b	(/.f64 (/.f64 (fma.f64 2 beta (+.f64 2 (*.f64 i 4))) alpha) 2)
	18.8b	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 beta (fma.f64 2 alpha (fma.f64 4 (.f64 i beta) (fma.f64 4 (.f64 alpha i) (+.f64 (.f64 alpha alpha) (+.f64 (.f64 beta beta) (fma.f64 4 i (fma.f64 2 (.f64 alpha beta) (.f64 4 (*.f64 i i))))))))))) 1) 2)

Compiler

Compiled 31505 to 19357 computations (38.6% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))
	0.1b	(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))
✓	3.9b	(log.f64 (exp.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))) 1)))
	12.8b	(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))) 1)

series501.0ms (2.1%)

Counts

1 → 36

Calls

1 calls:

501.0ms

(log.f64 (exp.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))) 1)))

rewrite3.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`log-prod_binary64`
4×	`log-pow_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`exp-prod_binary64`

Counts

1 → 18

Calls

1 calls:

2.0ms

(log.f64 (exp.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))) 1)))

simplify143.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

894×	`fma-def_binary64`
441×	`associate-*l/_binary64`
266×	`+-commutative_binary64`
241×	`*-commutative_binary64`
229×	`associate-+r+_binary64`

Counts

54 → 77

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	795	9427
1	3051	9078
2	5369	9078

prune1.3s (5.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	372	2	374
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	373	5	378

Error

0.1b

Counts

378 → 5

Alt Table

Status	Error	Program
✓	12.7b	(/.f64 (log.f64 (exp.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))) 1))) 2)
▶	13.0b	(/.f64 (.f64 (.f64 (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))) 1)))) (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))) 1))))) (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))) 1))))) 2)
	52.6b	(/.f64 (-.f64 (+.f64 (/.f64 2 alpha) (fma.f64 2 (/.f64 beta alpha) (.f64 4 (/.f64 i alpha)))) (+.f64 (/.f64 4 (.f64 alpha alpha)) (fma.f64 12 (/.f64 (.f64 i i) (.f64 alpha alpha)) (fma.f64 12 (/.f64 (.f64 i beta) (.f64 alpha alpha)) (fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (fma.f64 12 (/.f64 i (.f64 alpha alpha)) (.f64 2 (/.f64 (.f64 beta beta) (*.f64 alpha alpha))))))))) 2)
	49.1b	(/.f64 (/.f64 (fma.f64 beta 2 (fma.f64 i 4 2)) alpha) 2)
	18.8b	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 beta (fma.f64 2 alpha (fma.f64 4 (.f64 i beta) (fma.f64 4 (.f64 alpha i) (+.f64 (.f64 alpha alpha) (+.f64 (.f64 beta beta) (fma.f64 4 i (fma.f64 2 (.f64 alpha beta) (.f64 4 (*.f64 i i))))))))))) 1) 2)

Compiler

Compiled 42449 to 26912 computations (36.6% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))
✓	0.2b	(cbrt.f64 (log.f64 (exp.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))) 1))))
	3.9b	(log.f64 (exp.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))) 1)))
	12.8b	(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))) 1)

series4.8s (20.5%)

Counts

1 → 36

Calls

1 calls:

4.8s	(cbrt.f64 (log.f64 (exp.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))) 1))))

rewrite3.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`cbrt-prod_binary64`
4×	`log-pow_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`exp-prod_binary64`

Counts

1 → 17

Calls

1 calls:

1.0ms

(cbrt.f64 (log.f64 (exp.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))) 1))))

simplify405.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

606×	`fma-def_binary64`
425×	`associate-/r*_binary64`
418×	`associate-/l*_binary64`
407×	`times-frac_binary64`
75×	`sqr-pow_binary64`

Counts

53 → 83

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2330	41163
1	5273	41163

prune8.1s (34.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	1121	1	1122
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	1122	5	1127

Error

0.1b

Counts

1127 → 5

Alt Table

Status	Error	Program
	49.1b	(/.f64 (/.f64 (fma.f64 beta 2 (fma.f64 i 4 2)) alpha) 2)
	13.5b	(/.f64 (.f64 (.f64 (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))) 1)))) (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))) 1))))) (cbrt.f64 (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 2 (fma.f64 2 i (+.f64 beta alpha)))) 1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 beta alpha))) (+.f64 2 (fma.f64 2 i (+.f64 beta alpha)))) 1))))))) 2)
✓	12.7b	(/.f64 (log.f64 (exp.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))) 1))) 2)
	52.6b	(/.f64 (-.f64 (+.f64 (/.f64 2 alpha) (fma.f64 2 (/.f64 beta alpha) (.f64 4 (/.f64 i alpha)))) (+.f64 (/.f64 4 (.f64 alpha alpha)) (fma.f64 12 (/.f64 (.f64 i i) (.f64 alpha alpha)) (fma.f64 12 (/.f64 (.f64 i beta) (.f64 alpha alpha)) (fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (fma.f64 12 (/.f64 i (.f64 alpha alpha)) (.f64 2 (/.f64 (.f64 beta beta) (*.f64 alpha alpha))))))))) 2)
	18.8b	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (fma.f64 2 beta (fma.f64 2 alpha (fma.f64 4 (.f64 i beta) (fma.f64 4 (.f64 alpha i) (+.f64 (.f64 alpha alpha) (+.f64 (.f64 beta beta) (fma.f64 4 i (fma.f64 2 (.f64 alpha beta) (.f64 4 (*.f64 i i))))))))))) 1) 2)

Compiler

Compiled 344724 to 229387 computations (33.5% saved)

regimes2.6s (11.2%)

Accuracy

Total 1.3b remaining (89.8%)

Threshold costs 0b (0%)

Counts

227 → 2

Compiler

Compiled 53531 to 33458 computations (37.5% saved)

bsearch12.0ms (0.1%)

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

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
5×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	105
1	50	105
2	54	105
3	56	105
4	57	105
5	56	105

end1.0ms (0%)

Compiler: Compiled 73 to 44 computations (39.7% saved)

sample1.7s (7.1%)

Algorithm

1×

intervals

Results

505.0ms	6480×	body	128	valid
211.0ms	8000×	pre	128	true
200.0ms	684×	body	1024	valid
108.0ms	485×	body	512	valid
93.0ms	312×	body	256	valid
18.0ms	39×	body	2048	valid

Compiler

Compiled 401 to 240 computations (40.1% saved)

Details

analyze185.0ms (0.8%)

sample48.0ms (0.2%)

simplify45.0ms (0.2%)

prune5.0ms (0%)

localize12.0ms (0.1%)

series835.0ms (3.5%)

rewrite18.0ms (0.1%)

simplify232.0ms (1%)

prune581.0ms (2.5%)

localize12.0ms (0.1%)

series894.0ms (3.8%)

rewrite39.0ms (0.2%)

simplify260.0ms (1.1%)

prune668.0ms (2.8%)

localize15.0ms (0.1%)

series501.0ms (2.1%)

rewrite3.0ms (0%)

simplify143.0ms (0.6%)

prune1.3s (5.6%)

localize19.0ms (0.1%)

series4.8s (20.5%)

rewrite3.0ms (0%)

simplify405.0ms (1.7%)

prune8.1s (34.5%)

regimes2.6s (11.2%)

bsearch12.0ms (0.1%)

simplify5.0ms (0%)

end1.0ms (0%)

sample1.7s (7.1%)

Profiling