Details

analyze175.0ms (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 43 to 28 computations (34.9% saved)

sample1.9s (17.2%)

Results

1.1s	6700×	body	128	valid
417.0ms	682×	body	1024	valid
212.0ms	495×	body	512	valid
90.0ms	324×	body	256	valid
48.0ms	55×	body	2048	valid

Compiler

Compiled 118 to 76 computations (35.6% saved)

simplify43.0ms (0.4%)

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

15.6b

Counts

3 → 2

Alt Table

Status	Error	Program
	19.7b	(/.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)
▶	15.6b	(/.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

19.7b

(/.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)

▶

15.6b

(/.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)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))
✓	9.6b	(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)
✓	16.2b	(/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))))

series803.0ms (7.2%)

Counts

3 → 108

Calls

3 calls:

504.0ms

(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)

278.0ms

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

20.0ms

(*.f64 (fma.f64 2 i (+.f64 alpha beta)) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))

rewrite15.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`
7×	`add-cube-cbrt_binary64`

Counts

3 → 67

Calls

3 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)

simplify194.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

561×	`+-commutative_binary64`
490×	`fma-def_binary64`
487×	`associate-+r+_binary64`
392×	`*-commutative_binary64`
294×	`associate-*r/_binary64`

Counts

175 → 205

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1400	19973
1	5450	19973

prune466.0ms (4.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	201	4	205
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	203	4	207

Error

0.2b

Counts

207 → 4

Alt Table

Status	Error	Program
▶	9.7b	(/.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)
	56.3b	(/.f64 (-.f64 (fma.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 2 alpha) (fma.f64 32 (/.f64 (pow.f64 i 3) (pow.f64 alpha 3)) (fma.f64 4 (/.f64 i alpha) (fma.f64 2 (/.f64 beta alpha) (fma.f64 20 (/.f64 (.f64 i (.f64 beta beta)) (pow.f64 alpha 3)) (fma.f64 16 (/.f64 beta (pow.f64 alpha 3)) (fma.f64 48 (/.f64 (.f64 beta (.f64 i i)) (pow.f64 alpha 3)) (fma.f64 32 (/.f64 i (pow.f64 alpha 3)) (fma.f64 48 (/.f64 (.f64 i i) (pow.f64 alpha 3)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (fma.f64 48 (/.f64 (.f64 i beta) (pow.f64 alpha 3)) (.f64 (/.f64 (.f64 beta beta) (pow.f64 alpha 3)) 10))))))))))))) (fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (fma.f64 12 (/.f64 i (.f64 alpha 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)) (.f64 2 (/.f64 (.f64 beta beta) (.f64 alpha alpha))))))))) 2)
	54.9b	(/.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)
	52.4b	(/.f64 (/.f64 (fma.f64 2 beta (+.f64 2 (*.f64 i 4))) alpha) 2)

Compiler

Compiled 24939 to 16090 computations (35.5% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))
✓	0.0b	(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))
✓	9.6b	(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)

series1.3s (11.5%)

Counts

3 → 108

Calls

3 calls:

932.0ms

(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)

301.0ms

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

45.0ms

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

rewrite39.0ms (0.4%)

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:

10.0ms

(/.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)

simplify277.0ms (2.5%)

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

prune633.0ms (5.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	296	1	297
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	297	4	301

Error

0.2b

Counts

301 → 4

Alt Table

Status	Error	Program
	56.3b	(/.f64 (-.f64 (fma.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 2 alpha) (fma.f64 32 (/.f64 (pow.f64 i 3) (pow.f64 alpha 3)) (fma.f64 4 (/.f64 i alpha) (fma.f64 2 (/.f64 beta alpha) (fma.f64 20 (/.f64 (.f64 i (.f64 beta beta)) (pow.f64 alpha 3)) (fma.f64 16 (/.f64 beta (pow.f64 alpha 3)) (fma.f64 48 (/.f64 (.f64 beta (.f64 i i)) (pow.f64 alpha 3)) (fma.f64 32 (/.f64 i (pow.f64 alpha 3)) (fma.f64 48 (/.f64 (.f64 i i) (pow.f64 alpha 3)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (fma.f64 48 (/.f64 (.f64 i beta) (pow.f64 alpha 3)) (.f64 (/.f64 (.f64 beta beta) (pow.f64 alpha 3)) 10))))))))))))) (fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (fma.f64 12 (/.f64 i (.f64 alpha 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)) (.f64 2 (/.f64 (.f64 beta beta) (.f64 alpha alpha))))))))) 2)
	54.9b	(/.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)
	52.4b	(/.f64 (/.f64 (fma.f64 2 beta (+.f64 2 (*.f64 i 4))) alpha) 2)
▶	9.7b	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))) 1) 2)

Compiler

Compiled 30499 to 18882 computations (38.1% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))
	0.0b	(/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))
✓	2.0b	(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))))
✓	9.6b	(fma.f64 (+.f64 alpha beta) (/.f64 (log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))) 1)

series812.0ms (7.3%)

Counts

3 → 108

Calls

3 calls:

480.0ms

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

283.0ms

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

48.0ms

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

rewrite56.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

182×	`times-frac_binary64`
171×	`*-un-lft-identity_binary64`
123×	`add-sqr-sqrt_binary64`
120×	`log-pow_binary64`
114×	`exp-prod_binary64`

Counts

3 → 180

Calls

3 calls:

11.0ms

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

5.0ms

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

0.0ms

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

simplify346.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

907×	`fma-def_binary64`
476×	`associate-+r+_binary64`
324×	`associate-*r/_binary64`
176×	`associate-/l*_binary64`
171×	`associate-/r*_binary64`

Counts

288 → 383

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1637	26396
1	4983	26367
2	5395	26367

prune738.0ms (6.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	465	1	466
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	465	5	470

Error

0.2b

Counts

470 → 5

Alt Table

Status	Error	Program
▶	9.5b	(/.f64 (+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))) 1) 2)
	56.3b	(/.f64 (-.f64 (fma.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 2 alpha) (fma.f64 32 (/.f64 (pow.f64 i 3) (pow.f64 alpha 3)) (fma.f64 4 (/.f64 i alpha) (fma.f64 2 (/.f64 beta alpha) (fma.f64 20 (/.f64 (.f64 i (.f64 beta beta)) (pow.f64 alpha 3)) (fma.f64 16 (/.f64 beta (pow.f64 alpha 3)) (fma.f64 48 (/.f64 (.f64 beta (.f64 i i)) (pow.f64 alpha 3)) (fma.f64 32 (/.f64 i (pow.f64 alpha 3)) (fma.f64 48 (/.f64 (.f64 i i) (pow.f64 alpha 3)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (fma.f64 48 (/.f64 (.f64 i beta) (pow.f64 alpha 3)) (.f64 (/.f64 (.f64 beta beta) (pow.f64 alpha 3)) 10))))))))))))) (fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (fma.f64 12 (/.f64 i (.f64 alpha 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)) (.f64 2 (/.f64 (.f64 beta beta) (.f64 alpha alpha))))))))) 2)
	54.9b	(/.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)
	52.4b	(/.f64 (/.f64 (fma.f64 2 beta (+.f64 2 (*.f64 i 4))) alpha) 2)
✓	9.7b	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))) 1) 2)

Compiler

Compiled 39231 to 23542 computations (40% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))
✓	0.1b	(*.f64 (+.f64 alpha beta) (/.f64 (log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))))
✓	1.7b	(+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))) 1)
	2.0b	(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta)))))

series763.0ms (6.9%)

Counts

2 → 72

Calls

2 calls:

481.0ms

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

281.0ms

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

rewrite76.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

153×	`times-frac_binary64`
139×	`*-un-lft-identity_binary64`
98×	`associate-r_binary64`
96×	`add-sqr-sqrt_binary64`
80×	`log-pow_binary64`

Counts

2 → 138

Calls

2 calls:

26.0ms

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

15.0ms

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

simplify285.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

403×	`+-commutative_binary64`
370×	`*-commutative_binary64`
354×	`fma-def_binary64`
349×	`associate-+r+_binary64`
273×	`associate-*r/_binary64`

Counts

210 → 281

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1245	21584
1	4714	21511
2	5086	21511

prune748.0ms (6.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	459	0	459
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	459	5	464

Error

0.2b

Counts

464 → 5

Alt Table

Status	Error	Program
✓	9.5b	(/.f64 (+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta))))) 1) 2)
	56.3b	(/.f64 (-.f64 (fma.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 2 alpha) (fma.f64 32 (/.f64 (pow.f64 i 3) (pow.f64 alpha 3)) (fma.f64 4 (/.f64 i alpha) (fma.f64 2 (/.f64 beta alpha) (fma.f64 20 (/.f64 (.f64 i (.f64 beta beta)) (pow.f64 alpha 3)) (fma.f64 16 (/.f64 beta (pow.f64 alpha 3)) (fma.f64 48 (/.f64 (.f64 beta (.f64 i i)) (pow.f64 alpha 3)) (fma.f64 32 (/.f64 i (pow.f64 alpha 3)) (fma.f64 48 (/.f64 (.f64 i i) (pow.f64 alpha 3)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (fma.f64 48 (/.f64 (.f64 i beta) (pow.f64 alpha 3)) (.f64 (/.f64 (.f64 beta beta) (pow.f64 alpha 3)) 10))))))))))))) (fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (fma.f64 12 (/.f64 i (.f64 alpha 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)) (.f64 2 (/.f64 (.f64 beta beta) (.f64 alpha alpha))))))))) 2)
	54.9b	(/.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)
	52.4b	(/.f64 (/.f64 (fma.f64 2 beta (+.f64 2 (*.f64 i 4))) alpha) 2)
✓	9.7b	(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (fma.f64 2 i (+.f64 alpha beta))))) (+.f64 2 (fma.f64 2 i (+.f64 alpha beta)))) 1) 2)

Compiler

Compiled 39515 to 23984 computations (39.3% saved)

regimes1.1s (10.1%)

Accuracy

Total 1.1b remaining (93.4%)

Threshold costs 0b (0%)

Counts

95 → 2

Compiler

Compiled 21412 to 14401 computations (32.7% saved)

bsearch4.0ms (0%)

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

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
4×	`*-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	30	96
1	42	96
2	46	96
3	48	96
4	49	96
5	48	96

end257.0ms (2.3%)

Compiler: Compiled 437 to 261 computations (40.3% saved)

Details

analyze175.0ms (1.6%)

sample1.9s (17.2%)

simplify43.0ms (0.4%)

prune5.0ms (0%)

localize13.0ms (0.1%)

series803.0ms (7.2%)

rewrite15.0ms (0.1%)

simplify194.0ms (1.7%)

prune466.0ms (4.2%)

localize12.0ms (0.1%)

series1.3s (11.5%)

rewrite39.0ms (0.4%)

simplify277.0ms (2.5%)

prune633.0ms (5.7%)

localize15.0ms (0.1%)

series812.0ms (7.3%)

rewrite56.0ms (0.5%)

simplify346.0ms (3.1%)

prune738.0ms (6.7%)

localize15.0ms (0.1%)

series763.0ms (6.9%)

rewrite76.0ms (0.7%)

simplify285.0ms (2.6%)

prune748.0ms (6.7%)

regimes1.1s (10.1%)

bsearch4.0ms (0%)

simplify4.0ms (0%)

end257.0ms (2.3%)

Profiling