Details

analyze1.2s (12.9%)

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 (39%)

Results

1.3s	1164×	body	2048	valid
972.0ms	1330×	body	1024	valid
717.0ms	4415×	body	128	valid
393.0ms	846×	body	512	valid
158.0ms	499×	body	256	valid
5.0ms	2×	body	4096	valid

Compiler

Compiled 47 to 35 computations (25.5% saved)

simplify7.0ms (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

37.9b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	37.9b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))

Compiler

Compiled 45 to 33 computations (26.7% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	8.1b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
✓	29.2b	(sin.f64 (/.f64 x (*.f64 y 2)))
✓	29.6b	(tan.f64 (/.f64 x (*.f64 y 2)))

series72.0ms (0.8%)

Counts

3 → 72

Calls

3 calls:

39.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
27.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))
6.0ms	(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	(tan.f64 (/.f64 x (*.f64 y 2)))
1.0ms	(sin.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

prune97.0ms (1.1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	61	16	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	16	78

Error

27.1b

Counts

78 → 16

Alt Table

Status	Error	Program
	38.3b	(.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))))))
	40.1b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))
	37.9b	(.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)))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	38.4b	(/.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))))
	37.9b	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	37.9b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
	38.9b	(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
▶	28.8b	1
	60.0b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	50.9b	(.f64 (/.f64 1 (sqrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sqrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	51.3b	(.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sqrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sqrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	51.0b	(.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))))))
	40.3b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	50.6b	(cbrt.f64 (/.f64 (.f64 (.f64 (tan.f64 (/.f64 x (.f64 y 2))) (tan.f64 (/.f64 x (.f64 y 2)))) (tan.f64 (/.f64 x (.f64 y 2)))) (.f64 (.f64 (sin.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))) (sin.f64 (/.f64 x (.f64 y 2))))))
	37.9b	(.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))))))
	59.3b	(/.f64 (log.f64 (exp.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))

Compiler

Compiled 2592 to 1881 computations (27.4% saved)

localize0.0ms (0%)

prune23.0ms (0.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	15	15
Picked	1	1
Done	0	0
Total	16	16

Error

27.1b

Counts

16 → 16

Alt Table

Status	Error	Program
	38.3b	(.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))))))
	40.1b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))
	37.9b	(.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)))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	38.4b	(/.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))))
	37.9b	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
▶	37.9b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
	38.9b	(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
✓	28.8b	1
	60.0b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	50.9b	(.f64 (/.f64 1 (sqrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sqrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	51.3b	(.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sqrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sqrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	51.0b	(.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))))))
	40.3b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	50.6b	(cbrt.f64 (/.f64 (.f64 (.f64 (tan.f64 (/.f64 x (.f64 y 2))) (tan.f64 (/.f64 x (.f64 y 2)))) (tan.f64 (/.f64 x (.f64 y 2)))) (.f64 (.f64 (sin.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))) (sin.f64 (/.f64 x (.f64 y 2))))))
	37.9b	(.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))))))
	59.3b	(/.f64 (log.f64 (exp.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))

Compiler

Compiled 853 to 639 computations (25.1% saved)

localize11.0ms (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)))))
	8.1b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	29.2b	(sin.f64 (/.f64 x (*.f64 y 2)))
	29.6b	(tan.f64 (/.f64 x (*.f64 y 2)))

series39.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

38.0ms

(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)))))

simplify151.0ms (1.7%)

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

prune246.0ms (2.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	101	5	106
Fresh	6	8	14
Picked	1	0	1
Done	0	1	1
Total	108	14	122

Error

27.1b

Counts

122 → 14

Alt Table

Status	Error	Program
	60.0b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	37.9b	(log1p.f64 (expm1.f64 (.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))))))))
	38.3b	(.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))))))
	40.1b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))
	51.0b	(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))))))))
	38.4b	(/.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))))
	37.9b	(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))))
	37.9b	(log1p.f64 (log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))))
	59.3b	(/.f64 (log.f64 (exp.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	38.5b	(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))))))))
✓	28.8b	1
	40.3b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	50.6b	(cbrt.f64 (/.f64 (.f64 (.f64 (tan.f64 (/.f64 x (.f64 y 2))) (tan.f64 (/.f64 x (.f64 y 2)))) (tan.f64 (/.f64 x (.f64 y 2)))) (.f64 (.f64 (sin.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))) (sin.f64 (/.f64 x (.f64 y 2))))))
▶	37.9b	(.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))))))

Compiler

Compiled 3330 to 2462 computations (26.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.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))))))
	8.1b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	29.2b	(sin.f64 (/.f64 x (*.f64 y 2)))
	29.6b	(tan.f64 (/.f64 x (*.f64 y 2)))

series473.0ms (5.2%)

Counts

1 → 24

Calls

1 calls:

473.0ms

(*.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))))))

rewrite29.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

64×	`cbrt-prod_binary64`
57×	`add-sqr-sqrt_binary64`
42×	`times-frac_binary64`
33×	`*-un-lft-identity_binary64`
33×	`add-cube-cbrt_binary64`

Counts

1 → 80

Calls

1 calls:

14.0ms

(*.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))))))

simplify173.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

758×	`associate-/l*_binary64`
634×	`associate-/r*_binary64`
361×	`fma-def_binary64`
295×	`associate-*l/_binary64`
247×	`associate-l_binary64`

Counts

104 → 140

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	158	5231
1	263	5003
2	664	4558
3	1614	4516
4	4805	4420
5	4947	4420
6	4979	4420

prune893.0ms (9.9%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	357	14	371
Fresh	6	6	12
Picked	1	0	1
Done	0	1	1
Total	364	21	385

Error

26.8b

Counts

385 → 21

Alt Table

Status	Error	Program
	51.3b	(.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sqrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sqrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))))) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sqrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sqrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))))))) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
	39.9b	(.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (cbrt.f64 (/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
	51.0b	(.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sqrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (/.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sqrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))))) (.f64 (cbrt.f64 (/.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sqrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (/.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sqrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))))))) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
	38.9b	(.f64 (.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))) (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))) (sqrt.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))))))
	39.9b	(.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 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))))
	40.0b	(.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))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))))
	60.0b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	51.0b	(.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 2 y))))) (cbrt.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 2 y)))))) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 2 y)))) (sin.f64 (/.f64 x (.f64 2 y))))) (cbrt.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 2 y)))) (sin.f64 (/.f64 x (.f64 2 y))))))) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
	38.9b	(.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (sqrt.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))))))
	38.3b	(.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))))))
	51.0b	(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))))))))
	37.9b	(.f64 (.f64 (.f64 (cbrt.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))))))) (cbrt.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 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (/.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))))))) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
	37.9b	(.f64 (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))))) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))) (cbrt.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))))))
	38.5b	(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))))))))
✓	28.8b	1
	38.1b	(.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 1))
	37.9b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 2 y))) (sin.f64 (/.f64 x (.f64 2 y)))))) 5) (cbrt.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))))))
	37.9b	(.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 2 y))) (sin.f64 (/.f64 x (.f64 2 y))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 2 y))) (sin.f64 (/.f64 x (.f64 2 y))))) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 2 y))) (sin.f64 (/.f64 x (.f64 2 y))))) 2))) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))))
	37.9b	(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))))
	38.5b	(.f64 1 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))))
	59.3b	(/.f64 (log.f64 (exp.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))

Compiler

Compiled 21862 to 16122 computations (26.3% saved)

regimes939.0ms (10.4%)

Accuracy

Total 2.7b remaining (9.5%)

Threshold costs 0b (0%)

Counts

120 → 1

Compiler

Compiled 25716 to 19378 computations (24.6% 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 (11.7%)

Compiler: Compiled 1141 to 864 computations (24.3% saved)

Details

analyze1.2s (12.9%)

sample3.5s (39%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize10.0ms (0.1%)

series72.0ms (0.8%)

rewrite9.0ms (0.1%)

simplify105.0ms (1.2%)

prune97.0ms (1.1%)

localize0.0ms (0%)

prune23.0ms (0.3%)

localize11.0ms (0.1%)

series39.0ms (0.4%)

rewrite1.0ms (0%)

simplify151.0ms (1.7%)

prune246.0ms (2.7%)

localize11.0ms (0.1%)

series473.0ms (5.2%)

rewrite29.0ms (0.3%)

simplify173.0ms (1.9%)

prune893.0ms (9.9%)

regimes939.0ms (10.4%)

simplify2.0ms (0%)

end1.1s (11.7%)

Profiling