Details

analyze1.1s (12.4%)

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 (38.9%)

Results

1.3s	1160×	body	2048	valid
909.0ms	1348×	body	1024	valid
748.0ms	4359×	body	128	valid
395.0ms	882×	body	512	valid
162.0ms	502×	body	256	valid
14.0ms	5×	body	4096	valid

Compiler

Compiled 47 to 35 computations (25.5% saved)

simplify6.0ms (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

32.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	32.3b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))

Compiler

Compiled 45 to 33 computations (26.7% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	5.3b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
✓	27.0b	(sin.f64 (/.f64 x (*.f64 y 2)))
✓	27.4b	(tan.f64 (/.f64 x (*.f64 y 2)))

series64.0ms (0.7%)

Counts

3 → 72

Calls

3 calls:

34.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
21.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))
9.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))

rewrite9.0ms (0.1%)

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:

4.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
1.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))
1.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))

simplify105.0ms (1.2%)

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

prune105.0ms (1.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	62	15	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	15	78

Error

24.7b

Counts

78 → 15

Alt Table

Status	Error	Program
	32.3b	(.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))))))
	32.3b	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	32.9b	(/.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))))))
▶	27.0b	1
	59.8b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	35.3b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))
	32.8b	(.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))))))
	33.0b	(/.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))))
	58.9b	(/.f64 (log.f64 (exp.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	32.3b	(.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))))))
	32.3b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
	50.1b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y 2))) 3)))
	32.3b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (expm1.f64 (log1p.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	35.4b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	49.4b	(.f64 (/.f64 (sqrt.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 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))

Compiler

Compiled 2486 to 1803 computations (27.5% saved)

localize0.0ms (0%)

prune21.0ms (0.2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	14	14
Picked	1	1
Done	0	0
Total	15	15

Error

24.7b

Counts

15 → 15

Alt Table

Status	Error	Program
	32.3b	(.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))))))
	32.3b	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	32.9b	(/.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))))))
✓	27.0b	1
	59.8b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	35.3b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))
	32.8b	(.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))))))
	33.0b	(/.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))))
	58.9b	(/.f64 (log.f64 (exp.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	32.3b	(.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))))))
▶	32.3b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
	50.1b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y 2))) 3)))
	32.3b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (expm1.f64 (log1p.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	35.4b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	49.4b	(.f64 (/.f64 (sqrt.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 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))

Compiler

Compiled 747 to 561 computations (24.9% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))
	5.3b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	27.0b	(sin.f64 (/.f64 x (*.f64 y 2)))
	27.4b	(tan.f64 (/.f64 x (*.f64 y 2)))

series44.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

44.0ms

(expm1.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

2×	`log1p-expm1-u_binary64`
1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`

Counts

1 → 11

Calls

1 calls:

0.0ms

(expm1.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))))

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

808×	`fma-def_binary64`
713×	`unswap-sqr_binary64`
586×	`associate-l_binary64`
436×	`associate-*l/_binary64`
332×	`associate-*r/_binary64`

Counts

35 → 29

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	58	840
1	130	783
2	316	771
3	1210	771
4	4459	744
5	5964	744

prune224.0ms (2.5%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	100	6	106
Fresh	2	11	13
Picked	1	0	1
Done	0	1	1
Total	103	18	121

Error

24.7b

Counts

121 → 18

Alt Table

Status	Error	Program
	58.9b	(/.f64 (log.f64 (exp.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	49.4b	(log1p.f64 (expm1.f64 (.f64 (/.f64 (sqrt.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 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))))
	32.4b	(log1p.f64 (log.f64 (exp.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))))
▶	32.3b	(.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))))))
	32.4b	(log1p.f64 (log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))))
	32.9b	(/.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))))))
✓	27.0b	1
	59.8b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	35.3b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))
	32.8b	(.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))))))
	33.0b	(/.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))))
	32.3b	(log1p.f64 (expm1.f64 (.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))))))))
	49.4b	(.f64 (/.f64 (sqrt.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 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	33.0b	(log1p.f64 (.f64 (.f64 (cbrt.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))) (cbrt.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))))
	32.3b	(.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))))))
	33.7b	(log1p.f64 (fma.f64 1/8 (/.f64 (.f64 (E.f64) (.f64 x x)) (*.f64 y y)) (expm1.f64 1)))
	50.1b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y 2))) 3)))
	35.4b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))

Compiler

Compiled 3548 to 2628 computations (25.9% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.9b	(cbrt.f64 (tan.f64 (/.f64 x (*.f64 y 2))))
✓	5.9b	(cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))
	27.0b	(sin.f64 (/.f64 x (*.f64 y 2)))
	27.4b	(tan.f64 (/.f64 x (*.f64 y 2)))

series1.1s (11.8%)

Counts

2 → 48

Calls

2 calls:

693.0ms	(cbrt.f64 (tan.f64 (/.f64 x (*.f64 y 2))))
376.0ms	(cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))

rewrite4.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`cbrt-prod_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-sqr-sqrt_binary64`
4×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 27

Calls

2 calls:

1.0ms	(cbrt.f64 (tan.f64 (/.f64 x (*.f64 y 2))))
1.0ms	(cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))

simplify148.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

513×	`fma-neg_binary64`
456×	`times-frac_binary64`
314×	`associate-r_binary64`
292×	`associate-/l*_binary64`
249×	`fma-def_binary64`

Counts

75 → 69

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	2414
1	417	2406
2	980	2214
3	4133	1980
4	4883	1980
5	4961	1980

prune757.0ms (8.4%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	303	12	315
Fresh	3	13	16
Picked	1	0	1
Done	0	1	1
Total	307	26	333

Error

24.6b

Counts

333 → 26

Alt Table

Status	Error	Program
	35.3b	(.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 (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y)))))) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	33.1b	(.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 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (cbrt.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	58.9b	(/.f64 (log.f64 (exp.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	49.4b	(log1p.f64 (expm1.f64 (.f64 (/.f64 (sqrt.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 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))))
	32.4b	(log1p.f64 (log.f64 (exp.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))))
	32.9b	(.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)))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (cbrt.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))))
	32.4b	(log1p.f64 (log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))))
✓	27.0b	1
	32.6b	(.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 (.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)))))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	34.8b	(.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 (.f64 1/2 (/.f64 x y))))) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	35.0b	(.f64 (/.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (.f64 1/2 (/.f64 x y)))) (.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))))))
	59.8b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	32.8b	(.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))))))
	33.0b	(/.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))))
	32.3b	(log1p.f64 (expm1.f64 (.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))))))))
	49.4b	(.f64 (/.f64 (sqrt.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 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	33.0b	(log1p.f64 (.f64 (.f64 (cbrt.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))) (cbrt.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))))
	33.1b	(.f64 (/.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (cbrt.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (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))))))
	35.3b	(.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)))) (fma.f64 (.f64 (cbrt.f64 (.f64 x (.f64 (/.f64 -1 y) -1/2))) (.f64 (/.f64 x y) (/.f64 x y))) -1/72 (cbrt.f64 (.f64 x (.f64 (/.f64 -1 y) -1/2))))))
	34.8b	(.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 (.f64 x (.f64 (/.f64 -1 y) -1/2)))))
	32.3b	(.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))))))
	33.7b	(log1p.f64 (fma.f64 1/8 (/.f64 (.f64 (E.f64) (.f64 x x)) (*.f64 y y)) (expm1.f64 1)))
	50.1b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y 2))) 3)))
	60.1b	(.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 (exp.f64 (.f64 1/3 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1/2 x))))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	35.0b	(.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 (.f64 1/2 (/.f64 x y))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	35.3b	(.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)))) (fma.f64 (.f64 (cbrt.f64 (.f64 x (.f64 (/.f64 -1 y) -1/2))) (.f64 (/.f64 x y) (/.f64 x y))) -1/72 (cbrt.f64 (.f64 x (.f64 (/.f64 -1 y) -1/2)))))) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))))

Compiler

Compiled 21484 to 16006 computations (25.5% saved)

regimes677.0ms (7.5%)

Accuracy

Total 2.5b remaining (8.5%)

Threshold costs 0b (0%)

Counts

94 → 1

Compiler

Compiled 17646 to 13318 computations (24.5% 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
2	3	1

end1.1s (11.9%)

Compiler: Compiled 1118 to 845 computations (24.4% saved)

Details

analyze1.1s (12.4%)

sample3.5s (38.9%)

simplify6.0ms (0.1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

series64.0ms (0.7%)

rewrite9.0ms (0.1%)

simplify105.0ms (1.2%)

prune105.0ms (1.2%)

localize0.0ms (0%)

prune21.0ms (0.2%)

localize10.0ms (0.1%)

series44.0ms (0.5%)

rewrite1.0ms (0%)

simplify59.0ms (0.6%)

prune224.0ms (2.5%)

localize14.0ms (0.2%)

series1.1s (11.8%)

rewrite4.0ms (0%)

simplify148.0ms (1.6%)

prune757.0ms (8.4%)

regimes677.0ms (7.5%)

simplify2.0ms (0%)

end1.1s (11.9%)

Profiling