Details

analyze1.1s (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)

sample101.0ms (1.6%)

Algorithm

1×

intervals

Results

25.0ms	46×	body	1024	valid
23.0ms	31×	body	2048	valid
12.0ms	134×	body	128	valid
8.0ms	29×	body	512	valid
7.0ms	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

37.9b

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)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	9.4b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
✓	28.2b	(sin.f64 (/.f64 x (*.f64 y 2)))
✓	28.9b	(tan.f64 (/.f64 x (*.f64 y 2)))

series72.0ms (1.1%)

Counts

3 → 72

Calls

3 calls:

36.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
24.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))
7.0ms	(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))))
2.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))
1.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))

simplify107.0ms (1.7%)

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

prune94.0ms (1.5%)

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

25.9b

Counts

78 → 16

Alt Table

Status	Error	Program
	37.9b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
▶	27.5b	1
	38.3b	(/.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))))))
	40.4b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))
	60.3b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	40.4b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	38.4b	(.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)))))
	52.6b	(/.f64 (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))))) (sin.f64 (/.f64 x (.f64 y 2))))
	51.0b	(.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 (tan.f64 (/.f64 x (.f64 y 2)))) (sqrt.f64 (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	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (expm1.f64 (log1p.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))))))
	59.6b	(/.f64 (log.f64 (exp.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	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))))))
	53.0b	(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 2598 to 1883 computations (27.5% saved)

localize0.0ms (0%)

prune23.0ms (0.4%)

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

25.9b

Counts

16 → 16

Alt Table

Status	Error	Program
	37.9b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
✓	27.5b	1
	38.3b	(/.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))))))
	40.4b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))
	60.3b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	40.4b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	38.4b	(.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)))))
	52.6b	(/.f64 (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))))) (sin.f64 (/.f64 x (.f64 y 2))))
	51.0b	(.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 (tan.f64 (/.f64 x (.f64 y 2)))) (sqrt.f64 (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	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (expm1.f64 (log1p.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))))))
	59.6b	(/.f64 (log.f64 (exp.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	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))))))
	53.0b	(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 859 to 641 computations (25.4% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(log1p.f64 (sin.f64 (/.f64 x (*.f64 y 2))))
✓	9.4b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (expm1.f64 (log1p.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	28.2b	(sin.f64 (/.f64 x (*.f64 y 2)))
	28.9b	(tan.f64 (/.f64 x (*.f64 y 2)))

series386.0ms (6.1%)

Counts

2 → 48

Calls

2 calls:

347.0ms	(log1p.f64 (sin.f64 (/.f64 x (*.f64 y 2))))
39.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (expm1.f64 (log1p.f64 (sin.f64 (/.f64 x (.f64 y 2))))))

rewrite7.0ms (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`
4×	`add-cbrt-cube_binary64`

Counts

2 → 41

Calls

2 calls:

3.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (expm1.f64 (log1p.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
0.0ms	(log1p.f64 (sin.f64 (/.f64 x (*.f64 y 2))))

simplify101.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

686×	`fma-def_binary64`
380×	`associate-/l/_binary64`
333×	`associate-/r/_binary64`
330×	`times-frac_binary64`
262×	`fma-neg_binary64`

Counts

89 → 90

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	2023
1	233	1900
2	544	1870
3	2050	1792
4	4621	1792
5	4930	1792
6	4951	1792

prune182.0ms (2.9%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	120	6	126
Fresh	4	10	14
Picked	1	0	1
Done	0	1	1
Total	125	17	142

Error

25.6b

Counts

142 → 17

Alt Table

Status	Error	Program
▶	37.9b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
✓	27.5b	1
	60.3b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	40.4b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	38.3b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (sin.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (expm1.f64 (log1p.f64 (sin.f64 (/.f64 x (.f64 y 2)))))))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (expm1.f64 (log1p.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))))))
	40.7b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))))
	38.4b	(.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)))))
	52.6b	(/.f64 (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))))) (sin.f64 (/.f64 x (.f64 y 2))))
	37.9b	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (expm1.f64 (log1p.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	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 (expm1.f64 (log1p.f64 (sin.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (expm1.f64 (log1p.f64 (sin.f64 (/.f64 x (.f64 y 2)))))))) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (expm1.f64 (log1p.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))))
	39.0b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (expm1.f64 (.f64 (/.f64 x y) (-.f64 1/2 (/.f64 (*.f64 1/8 x) y)))))
	53.0b	(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))))))
	38.3b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (expm1.f64 (.f64 (.f64 (cbrt.f64 (log1p.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (cbrt.f64 (log1p.f64 (sin.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (log1p.f64 (sin.f64 (/.f64 x (.f64 y 2))))))))
	38.3b	(/.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))))))
	59.6b	(/.f64 (log.f64 (exp.f64 (tan.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 4002 to 2969 computations (25.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))
	9.4b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	28.2b	(sin.f64 (/.f64 x (*.f64 y 2)))
	28.9b	(tan.f64 (/.f64 x (*.f64 y 2)))

series42.0ms (0.7%)

Counts

1 → 24

Calls

1 calls:

42.0ms

(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)))))

simplify61.0ms (1%)

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

prune136.0ms (2.2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	100	6	106
Fresh	7	8	15
Picked	1	0	1
Done	0	1	1
Total	108	15	123

Error

25.6b

Counts

123 → 15

Alt Table

Status	Error	Program
	37.9b	(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))))))))
✓	27.5b	1
	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))))))))
	40.4b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	38.3b	(log1p.f64 (expm1.f64 (/.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))))))))
	40.7b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))))
	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))))))
	38.2b	(log1p.f64 (log1p.f64 (expm1.f64 (expm1.f64 (/.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))))) (expm1.f64 (log1p.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	38.3b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (expm1.f64 (.f64 (.f64 (cbrt.f64 (log1p.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (cbrt.f64 (log1p.f64 (sin.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (log1p.f64 (sin.f64 (/.f64 x (.f64 y 2))))))))
	39.0b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (expm1.f64 (.f64 (/.f64 x y) (-.f64 1/2 (/.f64 (*.f64 1/8 x) y)))))
	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))))))))
	60.3b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (/.f64 x (.f64 y 2))))))))
	38.4b	(.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)))))
	59.6b	(/.f64 (log.f64 (exp.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))

Compiler

Compiled 2933 to 2166 computations (26.2% saved)

regimes563.0ms (9%)

Accuracy

Total 2.8b remaining (10%)

Threshold costs 0b (0%)

Counts

93 → 1

Compiler

Compiled 11626 to 8853 computations (23.9% 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

end0.0ms (0%)

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

sample3.3s (52.6%)

Algorithm

1×

intervals

Results

986.0ms	1123×	body	2048	valid
684.0ms	1293×	body	1024	valid
457.0ms	4340×	body	128	valid
272.0ms	788×	body	512	valid
215.0ms	453×	body	256	valid
8.0ms	3×	body	4096	valid

Compiler

Compiled 441 to 336 computations (23.8% saved)

Details

analyze1.1s (16.7%)

sample101.0ms (1.6%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

series72.0ms (1.1%)

rewrite9.0ms (0.1%)

simplify107.0ms (1.7%)

prune94.0ms (1.5%)

localize0.0ms (0%)

prune23.0ms (0.4%)

localize10.0ms (0.2%)

series386.0ms (6.1%)

rewrite7.0ms (0.1%)

simplify101.0ms (1.6%)

prune182.0ms (2.9%)

localize13.0ms (0.2%)

series42.0ms (0.7%)

rewrite1.0ms (0%)

simplify61.0ms (1%)

prune136.0ms (2.2%)

regimes563.0ms (9%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.3s (52.6%)

Profiling