Details

analyze1.0s (16.7%)

Algorithm

1×

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
0%	99.9%	0.1%	6
18.7%	81.2%	0.1%	7
32.8%	67.1%	0.1%	8
38.2%	61.7%	0.1%	9
41%	58.9%	0.1%	10
43.9%	56%	0.1%	11
45.4%	54.5%	0.1%	12
46.9%	53%	0.1%	13
47.6%	52.3%	0.1%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample3.5s (56%)

Results

1.3s	1207×	body	2048	valid
889.0ms	1368×	body	1024	valid
741.0ms	4294×	body	128	valid
370.0ms	863×	body	512	valid
163.0ms	516×	body	256	valid
25.0ms	8×	body	4096	valid

Compiler

Compiled 47 to 35 computations (25.5% saved)

simplify20.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`associate-/r*_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	12	20
2	14	20

Stop Event

1×

saturated

Counts

1 → 1

prune2.0ms (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

35.6b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	35.6b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))

Compiler

Compiled 45 to 33 computations (26.7% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	7.2b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
✓	27.9b	(sin.f64 (/.f64 x (*.f64 y 2)))
✓	28.4b	(tan.f64 (/.f64 x (*.f64 y 2)))

series62.0ms (1%)

Counts

3 → 72

Calls

3 calls:

35.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
21.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))
6.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))

rewrite58.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

621×	`prod-diff_binary64`
522×	`log-prod_binary64`
180×	`expm1-udef_binary64`
180×	`log1p-udef_binary64`
159×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	193	38
2	2642	38

Stop Event

1×	node limit

Counts

3 → 87

Calls

3 calls:

56.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
56.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))
56.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))

simplify47.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

363×	`associate-/r/_binary64`
360×	`cancel-sign-sub-inv_binary64`
359×	`times-frac_binary64`
339×	`associate-/l/_binary64`
215×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	1410
1	187	1392
2	544	1326
3	2662	1299

Stop Event

1×	node limit

Counts

159 → 110

prune121.0ms (1.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	92	18	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	18	111

Error

24.9b

Counts

111 → 18

Alt Table

Status	Error	Program
	36.5b	(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (sin.f64 (.f64 (/.f64 x y) 1/2))))) (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (sin.f64 (.f64 (/.f64 x y) 1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (sin.f64 (*.f64 (/.f64 x y) 1/2)))))))
	59.4b	(/.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)))) (cbrt.f64 (exp.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
	35.7b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (sin.f64 (.f64 (/.f64 x y) 1/2)))))
	30.8b	(fma.f64 (/.f64 1/8 y) (/.f64 x (/.f64 y x)) 1)
	61.6b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 x y) 1/2)))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) 1/2)))) (sin.f64 1))))
	37.7b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))
	36.2b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (/.f64 x y) 1/2))) 2)) (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (cbrt.f64 (sin.f64 (.f64 (/.f64 x y) 1/2)))))
	36.3b	(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (/.f64 x y) 1/2))) 2) (/.f64 (cos.f64 (.f64 (/.f64 x y) 1/2)) (cbrt.f64 (sin.f64 (.f64 (/.f64 x y) 1/2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	60.2b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 (/.f64 x y) 1/2)))) (cbrt.f64 (exp.f64 (sin.f64 (.f64 (/.f64 x y) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (/.f64 x y) 1/2)))))))
	37.9b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	35.6b	(.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (sin.f64 (.f64 (/.f64 x y) 1/2)))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (sin.f64 (*.f64 (/.f64 x y) 1/2)))) 2))
	53.9b	(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) 2)) (sin.f64 (/.f64 x (.f64 y 2))))
	54.6b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 (/.f64 x y) 1/2)) 2)))
▶	27.6b	1
	35.6b	(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (sin.f64 (.f64 (/.f64 x y) 1/2)))) 3)
	49.3b	(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (/.f64 x y) 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (/.f64 x y) 1/2))) 2)) (/.f64 (sqrt.f64 (tan.f64 (.f64 (/.f64 x y) 1/2))) (cbrt.f64 (sin.f64 (*.f64 (/.f64 x y) 1/2)))))
	36.3b	(/.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 (/.f64 x y) 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (/.f64 x y) 1/2))) 2)) (sin.f64 (/.f64 x (.f64 y 2))))
	35.6b	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)))) (sin.f64 (/.f64 x (.f64 y 2))))

Compiler

Compiled 3171 to 2140 computations (32.5% saved)

localize0.0ms (0%)

prune24.0ms (0.4%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	17	17
Picked	1	1
Done	0	0
Total	18	18

Error

24.9b

Counts

18 → 18

Alt Table

Status	Error	Program
	36.5b	(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (sin.f64 (.f64 (/.f64 x y) 1/2))))) (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (sin.f64 (.f64 (/.f64 x y) 1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (sin.f64 (*.f64 (/.f64 x y) 1/2)))))))
	59.4b	(/.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)))) (cbrt.f64 (exp.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
	35.7b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (sin.f64 (.f64 (/.f64 x y) 1/2)))))
▶	30.8b	(fma.f64 (/.f64 1/8 y) (/.f64 x (/.f64 y x)) 1)
	61.6b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 x y) 1/2)))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) 1/2)))) (sin.f64 1))))
	37.7b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))
	36.2b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (/.f64 x y) 1/2))) 2)) (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (cbrt.f64 (sin.f64 (.f64 (/.f64 x y) 1/2)))))
	36.3b	(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (/.f64 x y) 1/2))) 2) (/.f64 (cos.f64 (.f64 (/.f64 x y) 1/2)) (cbrt.f64 (sin.f64 (.f64 (/.f64 x y) 1/2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	60.2b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 (/.f64 x y) 1/2)))) (cbrt.f64 (exp.f64 (sin.f64 (.f64 (/.f64 x y) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (/.f64 x y) 1/2)))))))
	37.9b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	35.6b	(.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (sin.f64 (.f64 (/.f64 x y) 1/2)))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (sin.f64 (*.f64 (/.f64 x y) 1/2)))) 2))
	53.9b	(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) 2)) (sin.f64 (/.f64 x (.f64 y 2))))
	54.6b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 (/.f64 x y) 1/2)) 2)))
✓	27.6b	1
	35.6b	(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (sin.f64 (.f64 (/.f64 x y) 1/2)))) 3)
	49.3b	(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (/.f64 x y) 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (/.f64 x y) 1/2))) 2)) (/.f64 (sqrt.f64 (tan.f64 (.f64 (/.f64 x y) 1/2))) (cbrt.f64 (sin.f64 (*.f64 (/.f64 x y) 1/2)))))
	36.3b	(/.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 (/.f64 x y) 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (/.f64 x y) 1/2))) 2)) (sin.f64 (/.f64 x (.f64 y 2))))
	35.6b	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)))) (sin.f64 (/.f64 x (.f64 y 2))))

Compiler

Compiled 897 to 641 computations (28.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (/.f64 y x))
✓	1.5b	(fma.f64 (/.f64 1/8 y) (/.f64 x (/.f64 y x)) 1)

series21.0ms (0.3%)

Counts

2 → 48

Calls

2 calls:

12.0ms	(fma.f64 (/.f64 1/8 y) (/.f64 x (/.f64 y x)) 1)
9.0ms	(/.f64 x (/.f64 y x))

rewrite46.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

471×	`log-prod_binary64`
242×	`pow2_binary64`
170×	`pow1/3_binary64`
166×	`expm1-udef_binary64`
166×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	191	21
2	2526	21

Stop Event

1×	node limit

Counts

2 → 72

Calls

2 calls:

45.0ms	(/.f64 x (/.f64 y x))
45.0ms	(fma.f64 (/.f64 1/8 y) (/.f64 x (/.f64 y x)) 1)

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

706×	`associate-/l*_binary64`
427×	`associate-/l/_binary64`
423×	`associate-/r*_binary64`
399×	`unswap-sqr_binary64`
325×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	498
1	25	462
2	51	462
3	146	462
4	762	462
5	4776	462

Stop Event

1×	node limit

Counts

120 → 78

prune117.0ms (1.9%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	16	16
Picked	0	1	1
Done	0	1	1
Total	78	18	96

Error

24.9b

Counts

96 → 18

Alt Table

Status	Error	Program
	36.5b	(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (sin.f64 (.f64 (/.f64 x y) 1/2))))) (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (sin.f64 (.f64 (/.f64 x y) 1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (sin.f64 (*.f64 (/.f64 x y) 1/2)))))))
	59.4b	(/.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)))) (cbrt.f64 (exp.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
	35.7b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (sin.f64 (.f64 (/.f64 x y) 1/2)))))
✓	30.8b	(fma.f64 (/.f64 1/8 y) (/.f64 x (/.f64 y x)) 1)
	61.6b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 x y) 1/2)))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) 1/2)))) (sin.f64 1))))
	37.7b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))
	36.2b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (/.f64 x y) 1/2))) 2)) (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (cbrt.f64 (sin.f64 (.f64 (/.f64 x y) 1/2)))))
	36.3b	(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (/.f64 x y) 1/2))) 2) (/.f64 (cos.f64 (.f64 (/.f64 x y) 1/2)) (cbrt.f64 (sin.f64 (.f64 (/.f64 x y) 1/2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	60.2b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 (/.f64 x y) 1/2)))) (cbrt.f64 (exp.f64 (sin.f64 (.f64 (/.f64 x y) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (/.f64 x y) 1/2)))))))
	37.9b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	35.6b	(.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (sin.f64 (.f64 (/.f64 x y) 1/2)))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (sin.f64 (*.f64 (/.f64 x y) 1/2)))) 2))
	53.9b	(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) 2)) (sin.f64 (/.f64 x (.f64 y 2))))
	54.6b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 (/.f64 x y) 1/2)) 2)))
✓	27.6b	1
	35.6b	(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (sin.f64 (.f64 (/.f64 x y) 1/2)))) 3)
	49.3b	(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (/.f64 x y) 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (/.f64 x y) 1/2))) 2)) (/.f64 (sqrt.f64 (tan.f64 (.f64 (/.f64 x y) 1/2))) (cbrt.f64 (sin.f64 (*.f64 (/.f64 x y) 1/2)))))
	36.3b	(/.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 (/.f64 x y) 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (/.f64 x y) 1/2))) 2)) (sin.f64 (/.f64 x (.f64 y 2))))
▶	35.6b	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)))) (sin.f64 (/.f64 x (.f64 y 2))))

Compiler

Compiled 2060 to 1248 computations (39.4% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(log1p.f64 (expm1.f64 (tan.f64 (*.f64 (/.f64 x y) 1/2))))
✓	7.2b	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)))) (sin.f64 (/.f64 x (.f64 y 2))))
	27.9b	(sin.f64 (/.f64 x (*.f64 y 2)))
✓	28.4b	(tan.f64 (*.f64 (/.f64 x y) 1/2))

series87.0ms (1.4%)

Counts

3 → 72

Calls

3 calls:

41.0ms	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)))) (sin.f64 (/.f64 x (.f64 y 2))))
23.0ms	(tan.f64 (*.f64 (/.f64 x y) 1/2))
22.0ms	(log1p.f64 (expm1.f64 (tan.f64 (*.f64 (/.f64 x y) 1/2))))

rewrite59.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

236×	`expm1-udef_binary64`
236×	`log1p-udef_binary64`
206×	`log-pow_binary64`
140×	`add-sqr-sqrt_binary64`
133×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	283	38
2	3759	38

Stop Event

1×	node limit

Counts

3 → 79

Calls

3 calls:

57.0ms	(log1p.f64 (expm1.f64 (tan.f64 (*.f64 (/.f64 x y) 1/2))))
57.0ms	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)))) (sin.f64 (/.f64 x (.f64 y 2))))
57.0ms	(tan.f64 (*.f64 (/.f64 x y) 1/2))

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Rules

787×	`associate-/r/_binary64`
787×	`fma-def_binary64`
443×	`associate-/l/_binary64`
314×	`times-frac_binary64`
288×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	1524
1	147	1518
2	400	1458
3	1952	1425
4	4221	1425

Stop Event

1×	node limit

Counts

151 → 76

prune106.0ms (1.7%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	101	5	106
Fresh	3	12	15
Picked	1	0	1
Done	0	2	2
Total	105	19	124

Error

24.7b

Counts

124 → 19

Alt Table

Status	Error	Program
	36.5b	(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (sin.f64 (.f64 (/.f64 x y) 1/2))))) (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (sin.f64 (.f64 (/.f64 x y) 1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (sin.f64 (*.f64 (/.f64 x y) 1/2)))))))
	59.4b	(/.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)))) (cbrt.f64 (exp.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
	53.9b	(/.f64 (log1p.f64 (expm1.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) 2)))) (sin.f64 (/.f64 x (.f64 y 2))))
	35.7b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (sin.f64 (.f64 (/.f64 x y) 1/2)))))
✓	30.8b	(fma.f64 (/.f64 1/8 y) (/.f64 x (/.f64 y x)) 1)
	35.6b	(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (sin.f64 (.f64 (/.f64 x y) 1/2)))) 3)
	60.2b	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)))) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 (/.f64 x y) 1/2)))) (cbrt.f64 (exp.f64 (sin.f64 (.f64 (/.f64 x y) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (/.f64 x y) 1/2)))))))
	61.6b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 x y) 1/2)))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) 1/2)))) (sin.f64 1))))
	37.7b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))
	36.2b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (/.f64 x y) 1/2))) 2)) (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (cbrt.f64 (sin.f64 (.f64 (/.f64 x y) 1/2)))))
	36.3b	(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (/.f64 x y) 1/2))) 2) (/.f64 (cos.f64 (.f64 (/.f64 x y) 1/2)) (cbrt.f64 (sin.f64 (.f64 (/.f64 x y) 1/2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	54.6b	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 (/.f64 x y) 1/2)) 2)))
	36.3b	(/.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 (/.f64 x y) 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (/.f64 x y) 1/2))) 2)) (sin.f64 (/.f64 x (.f64 y 2))))
	36.2b	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (/.f64 x y) 1/2))) 3))
	35.6b	(.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (sin.f64 (.f64 (/.f64 x y) 1/2)))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (/.f64 x y) 1/2)) (sin.f64 (*.f64 (/.f64 x y) 1/2)))) 2))
	60.6b	(/.f64 (log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 (exp.f64 (log1p.f64 (/.f64 x y)))) (sin.f64 1)) (+.f64 (cos.f64 (exp.f64 (log1p.f64 (/.f64 x y)))) (cos.f64 1))))) (sin.f64 (/.f64 x (*.f64 y 2))))
✓	27.6b	1
	49.3b	(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (/.f64 x y) 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (/.f64 x y) 1/2))) 2)) (/.f64 (sqrt.f64 (tan.f64 (.f64 (/.f64 x y) 1/2))) (cbrt.f64 (sin.f64 (*.f64 (/.f64 x y) 1/2)))))
	37.9b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))

Compiler

Compiled 2714 to 1827 computations (32.7% saved)

regimes476.0ms (7.6%)

Accuracy

Total 3.0b remaining (10.2%)

Threshold costs 0b (0%)

Counts

76 → 1

Compiler

Compiled 8376 to 6158 computations (26.5% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
1	4	1

Stop Event

1×

saturated

end325.0ms (5.2%)

Compiler: Compiled 495 to 355 computations (28.3% saved)

Details

analyze1.0s (16.7%)

sample3.5s (56%)

simplify20.0ms (0.3%)

prune2.0ms (0%)

localize7.0ms (0.1%)

series62.0ms (1%)

rewrite58.0ms (0.9%)

simplify47.0ms (0.7%)

prune121.0ms (1.9%)

localize0.0ms (0%)

prune24.0ms (0.4%)

localize6.0ms (0.1%)

series21.0ms (0.3%)

rewrite46.0ms (0.7%)

simplify51.0ms (0.8%)

prune117.0ms (1.9%)

localize12.0ms (0.2%)

series87.0ms (1.4%)

rewrite59.0ms (0.9%)

simplify60.0ms (1%)

prune106.0ms (1.7%)

regimes476.0ms (7.6%)

simplify2.0ms (0%)

end325.0ms (5.2%)

Profiling