Details

analyze1.1s (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)

sample81.0ms (0.7%)

Algorithm

1×

intervals

Results

29.0ms	35×	body	2048	valid
16.0ms	37×	body	1024	valid
13.0ms	136×	body	128	valid
9.0ms	32×	body	512	valid
3.0ms	16×	body	256	valid

Compiler

Compiled 33 to 25 computations (24.2% 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

37.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	37.5b	(/.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
✓	8.4b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
✓	28.6b	(sin.f64 (/.f64 x (*.f64 y 2)))
✓	29.0b	(tan.f64 (/.f64 x (*.f64 y 2)))

series74.0ms (0.6%)

Counts

3 → 72

Calls

3 calls:

40.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
26.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))
8.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))

rewrite13.0ms (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)))

simplify127.0ms (1%)

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

prune91.0ms (0.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	64	13	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	13	78

Error

26.5b

Counts

78 → 13

Alt Table

Status	Error	Program
	37.6b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
▶	28.5b	1
	38.1b	(/.f64 (.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))))))
	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))))
	52.1b	(.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))))))
	40.3b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	37.5b	(.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))))))
	37.6b	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	37.5b	(.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))))))
	38.0b	(/.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))))))
	52.4b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y 2))) 3)))
	37.6b	(/.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y)))) (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 2364 to 1707 computations (27.8% saved)

localize0.0ms (0%)

prune18.0ms (0.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	12	12
Picked	1	1
Done	0	0
Total	13	13

Error

26.5b

Counts

13 → 13

Alt Table

Status	Error	Program
	37.6b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
✓	28.5b	1
	38.1b	(/.f64 (.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))))))
	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))))
	52.1b	(.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))))))
	40.3b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
▶	37.5b	(.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))))))
	37.6b	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	37.5b	(.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))))))
	38.0b	(/.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))))))
	52.4b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y 2))) 3)))
	37.6b	(/.f64 (/.f64 (sin.f64 (.f64 1/2 (/.f64 x y))) (cos.f64 (.f64 1/2 (/.f64 x y)))) (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 625 to 465 computations (25.6% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	8.6b	(cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))
✓	8.7b	(cbrt.f64 (tan.f64 (/.f64 x (*.f64 y 2))))
	28.6b	(sin.f64 (/.f64 x (*.f64 y 2)))
	29.0b	(tan.f64 (/.f64 x (*.f64 y 2)))

series966.0ms (7.9%)

Counts

2 → 48

Calls

2 calls:

578.0ms	(cbrt.f64 (tan.f64 (/.f64 x (*.f64 y 2))))
388.0ms	(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:

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

simplify112.0ms (0.9%)

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	414	2406
2	980	2214
3	4133	1980
4	4883	1980
5	4961	1980

prune614.0ms (5%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	306	9	315
Fresh	4	7	11
Picked	1	0	1
Done	0	1	1
Total	311	17	328

Error

26.5b

Counts

328 → 17

Alt Table

Status	Error	Program
	37.6b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
✓	28.5b	1
	40.0b	(.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))))))
	38.1b	(.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 (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))))))))
	59.8b	(.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 (exp.f64 (.f64 1/3 (+.f64 (log.f64 (/.f64 1/2 y)) (log.f64 x)))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	40.0b	(.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 (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))))))
	52.1b	(.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))))))
	59.3b	(/.f64 (log.f64 (exp.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	38.2b	(.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))))))
	37.6b	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	38.2b	(.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))))))
▶	37.5b	(.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))))))
	40.0b	(.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)))) (fma.f64 (.f64 (.f64 (/.f64 x y) (/.f64 x y)) (cbrt.f64 (.f64 1/2 (/.f64 x y)))) -1/72 (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))))))
	38.0b	(/.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))))))
	52.4b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y 2))) 3)))
	59.8b	(.f64 (/.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (exp.f64 (.f64 1/3 (+.f64 (log.f64 (/.f64 1/2 y)) (log.f64 x))))) (.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))))))
	52.4b	(.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 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y 2))) 3)))))

Compiler

Compiled 21775 to 16222 computations (25.5% saved)

localize13.0ms (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))))))
	8.4b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	28.6b	(sin.f64 (/.f64 x (*.f64 y 2)))
	29.0b	(tan.f64 (/.f64 x (*.f64 y 2)))

series636.0ms (5.2%)

Counts

1 → 24

Calls

1 calls:

636.0ms

(*.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))))))

rewrite28.0ms (0.2%)

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:

12.0ms

(*.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))))))

simplify178.0ms (1.5%)

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

prune946.0ms (7.7%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	358	13	371
Fresh	5	10	15
Picked	1	0	1
Done	0	1	1
Total	364	24	388

Error

26.3b

Counts

388 → 24

Alt Table

Status	Error	Program
	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))))))
	37.5b	(.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))))))
	40.0b	(.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)))) (fma.f64 (.f64 (.f64 (/.f64 x y) (/.f64 x y)) (cbrt.f64 (.f64 1/2 (/.f64 x y)))) -1/72 (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))))))
	38.2b	(.f64 1 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))))
	37.6b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
✓	28.5b	1
	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 1))
	38.1b	(.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (.f64 (cbrt.f64 (/.f64 1 (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))))))
	40.0b	(.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))))))
	38.1b	(.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 (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))))))))
	59.8b	(.f64 (/.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (exp.f64 (.f64 1/3 (+.f64 (log.f64 (/.f64 1/2 y)) (log.f64 x))))) (.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))))))
	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))))))
	59.8b	(.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 (exp.f64 (.f64 1/3 (+.f64 (log.f64 (/.f64 1/2 y)) (log.f64 x)))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	40.0b	(.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 (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))))))
	37.5b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 2 y))) (sin.f64 (/.f64 x (.f64 2 y)))))) 4) (pow.f64 (cbrt.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))))))
	40.0b	(.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))))))
	37.5b	(.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))))))
	37.5b	(.f64 (cbrt.f64 (.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)))))) (.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))))))) (.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))))))
	52.3b	(.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))))))
	37.5b	(.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))))))
	38.2b	(.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))))))
	38.0b	(/.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))))))
	37.5b	(.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 (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 22081 to 16279 computations (26.3% saved)

regimes3.3s (27.3%)

Accuracy

Total 2.6b remaining (9.3%)

Threshold costs 0b (0%)

Counts

356 → 1

Compiler

Compiled 94096 to 70813 computations (24.7% saved)

simplify4.0ms (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

end1.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

sample3.9s (31.5%)

Algorithm

1×

intervals

Results

1.3s	1047×	body	2048	valid
648.0ms	1334×	body	1024	valid
465.0ms	4323×	body	128	valid
248.0ms	838×	body	512	valid
105.0ms	456×	body	256	valid
5.0ms	2×	body	4096	valid

Compiler

Compiled 1375 to 1032 computations (24.9% saved)

Details

analyze1.1s (9%)

sample81.0ms (0.7%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

series74.0ms (0.6%)

rewrite13.0ms (0.1%)

simplify127.0ms (1%)

prune91.0ms (0.7%)

localize0.0ms (0%)

prune18.0ms (0.1%)

localize14.0ms (0.1%)

series966.0ms (7.9%)

rewrite4.0ms (0%)

simplify112.0ms (0.9%)

prune614.0ms (5%)

localize13.0ms (0.1%)

series636.0ms (5.2%)

rewrite28.0ms (0.2%)

simplify178.0ms (1.5%)

prune946.0ms (7.7%)

regimes3.3s (27.3%)

simplify4.0ms (0%)

end1.0ms (0%)

sample3.9s (31.5%)

Profiling