Details

analyze1.0s (14.6%)

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)

sample3.4s (48%)

Results

1.3s	1102×	body	2048	valid
854.0ms	1370×	body	1024	valid
753.0ms	4423×	body	128	valid
373.0ms	889×	body	512	valid
142.0ms	469×	body	256	valid
8.0ms	3×	body	4096	valid

Compiler

Compiled 47 to 35 computations (25.5% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	12	20
2	14	20
3	14	20

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

35.7b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	35.7b	(/.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
✓	9.1b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
✓	26.9b	(sin.f64 (/.f64 x (*.f64 y 2)))
✓	27.3b	(tan.f64 (/.f64 x (*.f64 y 2)))

series85.0ms (1.2%)

Counts

3 → 72

Calls

3 calls:

42.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
23.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))
19.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
5×	`add-cbrt-cube_binary64`

Counts

3 → 49

Calls

3 calls:

6.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))
4.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
2.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))

simplify105.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

469×	`associate-/l/_binary64`
418×	`associate-/r/_binary64`
384×	`times-frac_binary64`
369×	`fma-neg_binary64`
362×	`cancel-sign-sub-inv_binary64`

Counts

121 → 77

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	130	2675
1	284	2537
2	699	2471
3	2692	2444
4	4924	2444
5	5018	2444

prune95.0ms (1.3%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	60	17	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	17	78

Error

24.6b

Counts

78 → 17

Alt Table

Status	Error	Program
	49.5b	(/.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (sqrt.f64 (tan.f64 (/.f64 x (*.f64 y 2))))))
	36.2b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (.f64 (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
▶	27.3b	1
	35.7b	(/.f64 1 (/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (tan.f64 (/.f64 x (.f64 y 2)))))
	59.3b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	39.4b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))
	36.3b	(.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sin.f64 (/.f64 x (.f64 y 2)))))
	39.6b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	35.7b	(.f64 (/.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))))) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	58.5b	(/.f64 (log.f64 (exp.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	35.7b	(.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
	35.8b	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	35.8b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
	37.7b	(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
	36.2b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	36.3b	(/.f64 (.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	49.9b	(/.f64 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 y 2))) 3)) (sin.f64 (/.f64 x (.f64 y 2))))

Compiler

Compiled 2550 to 1851 computations (27.4% saved)

localize0.0ms (0%)

prune63.0ms (0.9%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	16	16
Picked	1	1
Done	0	0
Total	17	17

Error

24.6b

Counts

17 → 17

Alt Table

Status	Error	Program
	49.5b	(/.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (sqrt.f64 (tan.f64 (/.f64 x (*.f64 y 2))))))
	36.2b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (.f64 (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
✓	27.3b	1
▶	35.7b	(/.f64 1 (/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (tan.f64 (/.f64 x (.f64 y 2)))))
	59.3b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	39.4b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))
	36.3b	(.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sin.f64 (/.f64 x (.f64 y 2)))))
	39.6b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	35.7b	(.f64 (/.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))))) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	58.5b	(/.f64 (log.f64 (exp.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	35.7b	(.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
	35.8b	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	35.8b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
	37.7b	(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
	36.2b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	36.3b	(/.f64 (.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	49.9b	(/.f64 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x (.f64 y 2))) 3)) (sin.f64 (/.f64 x (.f64 y 2))))

Compiler

Compiled 811 to 609 computations (24.9% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (tan.f64 (/.f64 x (.f64 y 2)))))
✓	9.2b	(/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (tan.f64 (/.f64 x (.f64 y 2))))
	26.9b	(sin.f64 (/.f64 x (*.f64 y 2)))
	27.3b	(tan.f64 (/.f64 x (*.f64 y 2)))

series94.0ms (1.3%)

Counts

2 → 48

Calls

2 calls:

52.0ms	(/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (tan.f64 (/.f64 x (.f64 y 2))))
41.0ms	(/.f64 1 (/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (tan.f64 (/.f64 x (.f64 y 2)))))

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

87×	`times-frac_binary64`
53×	`*-un-lft-identity_binary64`
53×	`add-sqr-sqrt_binary64`
53×	`add-cube-cbrt_binary64`
17×	`associate-/r*_binary64`

Counts

2 → 112

Calls

2 calls:

6.0ms	(/.f64 1 (/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (tan.f64 (/.f64 x (.f64 y 2)))))
4.0ms	(/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (tan.f64 (/.f64 x (.f64 y 2))))

simplify155.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

657×	`fma-neg_binary64`
490×	`cancel-sign-sub-inv_binary64`
440×	`fma-def_binary64`
385×	`unswap-sqr_binary64`
344×	`associate-/l/_binary64`

Counts

160 → 187

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	143	4720
1	279	4357
2	664	4312
3	1822	4300
4	3253	4246
5	5127	4246

prune375.0ms (5.3%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	208	15	223
Fresh	7	8	15
Picked	1	0	1
Done	0	1	1
Total	216	24	240

Error

24.5b

Counts

240 → 24

Alt Table

Status	Error	Program
	34.0b	(/.f64 1 (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) -1/8 1))
	58.5b	(/.f64 (log.f64 (exp.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	37.7b	(/.f64 (/.f64 1 (sqrt.f64 (/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (tan.f64 (/.f64 x (.f64 y 2)))))) (sqrt.f64 (/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (tan.f64 (/.f64 x (.f64 y 2))))))
	35.8b	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	49.5b	(/.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (sqrt.f64 (tan.f64 (/.f64 x (*.f64 y 2))))))
	36.2b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (.f64 (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
✓	27.3b	1
	50.3b	(/.f64 1 (/.f64 (cbrt.f64 (.f64 (.f64 (sin.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))) (sin.f64 (/.f64 x (.f64 y 2))))) (tan.f64 (/.f64 x (.f64 y 2)))))
	36.3b	(.f64 (/.f64 1 (/.f64 1 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))))) (/.f64 1 (/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))))))
	36.3b	(/.f64 1 (/.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (tan.f64 (/.f64 x (.f64 y 2)))))
	36.2b	(.f64 (/.f64 1 (/.f64 (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) 1)) (/.f64 1 (/.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (tan.f64 (/.f64 x (.f64 y 2))))))
	59.3b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	39.4b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))
	49.9b	(/.f64 1 (/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (.f64 (.f64 (tan.f64 (/.f64 x (.f64 y 2))) (tan.f64 (/.f64 x (.f64 y 2)))) (tan.f64 (/.f64 x (.f64 y 2)))))))
	35.7b	(/.f64 1 (.f64 (/.f64 (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))))) (/.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (*.f64 y 2)))))))
	36.3b	(.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sin.f64 (/.f64 x (.f64 y 2)))))
	39.6b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	35.7b	(/.f64 1 (log.f64 (exp.f64 (/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (tan.f64 (/.f64 x (.f64 y 2)))))))
	35.7b	(/.f64 (/.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 2 y)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 2 y))))) (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 2 y)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 2 y)))))) (/.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))))
	35.7b	(/.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (tan.f64 (/.f64 x (.f64 y 2))))) (cbrt.f64 (/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (tan.f64 (/.f64 x (.f64 y 2))))))) (cbrt.f64 (/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (tan.f64 (/.f64 x (*.f64 y 2))))))
	36.4b	(/.f64 1 (.f64 (/.f64 1 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))))) (/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))))))
	49.7b	(.f64 (/.f64 1 (/.f64 (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))))) (/.f64 1 (/.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (sqrt.f64 (tan.f64 (/.f64 x (*.f64 y 2)))))))
	35.7b	(.f64 (.f64 (cbrt.f64 (/.f64 1 (/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (tan.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (/.f64 1 (/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (tan.f64 (/.f64 x (.f64 y 2))))))) (cbrt.f64 (/.f64 1 (/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (tan.f64 (/.f64 x (.f64 y 2)))))))
▶	26.5b	(/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))

Compiler

Compiled 7458 to 5632 computations (24.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))
✓	26.8b	(cos.f64 (/.f64 x (*.f64 y 2)))

series27.0ms (0.4%)

Counts

2 → 48

Calls

2 calls:

20.0ms	(/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))
7.0ms	(cos.f64 (/.f64 x (*.f64 y 2)))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
6×	`add-exp-log_binary64`

Counts

2 → 42

Calls

2 calls:

2.0ms	(/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))
1.0ms	(cos.f64 (/.f64 x (*.f64 y 2)))

simplify74.0ms (1%)

Algorithm

1×	egg-herbie

Rules

856×	`associate-/l*_binary64`
787×	`fma-def_binary64`
647×	`associate-/r*_binary64`
395×	`associate-*l/_binary64`
213×	`fma-neg_binary64`

Counts

90 → 79

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	1519
1	163	1432
2	339	1414
3	1129	1402
4	4898	1402
5	5256	1402

prune195.0ms (2.7%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	74	5	79
Fresh	3	19	22
Picked	1	0	1
Done	0	1	1
Total	78	25	103

Error

24.5b

Counts

103 → 25

Alt Table

Status	Error	Program
	34.0b	(/.f64 1 (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) -1/8 1))
	58.5b	(/.f64 (log.f64 (exp.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	37.7b	(/.f64 (/.f64 1 (sqrt.f64 (/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (tan.f64 (/.f64 x (.f64 y 2)))))) (sqrt.f64 (/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (tan.f64 (/.f64 x (.f64 y 2))))))
	35.8b	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	36.2b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (.f64 (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
✓	27.3b	1
	26.5b	(/.f64 1 (log.f64 (exp.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))
	50.3b	(/.f64 1 (/.f64 (cbrt.f64 (.f64 (.f64 (sin.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))) (sin.f64 (/.f64 x (.f64 y 2))))) (tan.f64 (/.f64 x (.f64 y 2)))))
	36.3b	(.f64 (/.f64 1 (/.f64 1 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))))) (/.f64 1 (/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))))))
	26.5b	(.f64 (.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (.f64 y 2))))) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))
	36.3b	(/.f64 1 (/.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (tan.f64 (/.f64 x (.f64 y 2)))))
	36.2b	(.f64 (/.f64 1 (/.f64 (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) 1)) (/.f64 1 (/.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (tan.f64 (/.f64 x (.f64 y 2))))))
	59.3b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	39.4b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))
	49.7b	(.f64 (/.f64 1 (/.f64 (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))))) (/.f64 1 (/.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (sqrt.f64 (tan.f64 (/.f64 x (*.f64 y 2)))))))
	26.5b	(/.f64 (/.f64 1 (.f64 (cbrt.f64 (cos.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (cos.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (cos.f64 (/.f64 x (.f64 y 2)))))
	49.9b	(/.f64 1 (/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (.f64 (.f64 (tan.f64 (/.f64 x (.f64 y 2))) (tan.f64 (/.f64 x (.f64 y 2)))) (tan.f64 (/.f64 x (.f64 y 2)))))))
	35.7b	(/.f64 1 (.f64 (/.f64 (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))))) (/.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (*.f64 y 2)))))))
	36.3b	(.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sin.f64 (/.f64 x (.f64 y 2)))))
	39.6b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	35.7b	(/.f64 (/.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 2 y)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 2 y))))) (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 2 y)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 2 y)))))) (/.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))))
	35.7b	(/.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (tan.f64 (/.f64 x (.f64 y 2))))) (cbrt.f64 (/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (tan.f64 (/.f64 x (.f64 y 2))))))) (cbrt.f64 (/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (tan.f64 (/.f64 x (*.f64 y 2))))))
	36.4b	(/.f64 1 (.f64 (/.f64 1 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))))) (/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))))))
	26.5b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (cos.f64 (/.f64 x (.f64 2 y)))) (cbrt.f64 (cos.f64 (/.f64 x (.f64 2 y)))))) (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 2 y))))))
	26.5b	(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))

Compiler

Compiled 1950 to 1503 computations (22.9% saved)

regimes857.0ms (12%)

Accuracy

Total 1.5b remaining (5.5%)

Threshold costs 0b (0%)

Counts

125 → 2

Compiler

Compiled 16788 to 12941 computations (22.9% saved)

bsearch2.0ms (0%)

Steps

Iters	Range		Point
1	4.132398006973419	4.5231024621510425	4.425426348356637

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	46
1	17	46
2	16	46

end461.0ms (6.5%)

Compiler: Compiled 778 to 595 computations (23.5% saved)

Details

analyze1.0s (14.6%)

sample3.4s (48%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

series85.0ms (1.2%)

rewrite13.0ms (0.2%)

simplify105.0ms (1.5%)

prune95.0ms (1.3%)

localize0.0ms (0%)

prune63.0ms (0.9%)

localize8.0ms (0.1%)

series94.0ms (1.3%)

rewrite23.0ms (0.3%)

simplify155.0ms (2.2%)

prune375.0ms (5.3%)

localize7.0ms (0.1%)

series27.0ms (0.4%)

rewrite5.0ms (0.1%)

simplify74.0ms (1%)

prune195.0ms (2.7%)

regimes857.0ms (12%)

bsearch2.0ms (0%)

simplify3.0ms (0%)

end461.0ms (6.5%)

Profiling