Details

analyze1.2s (15.4%)

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 (46%)

Results

1.2s	1150×	body	2048	valid
887.0ms	1309×	body	1024	valid
821.0ms	4467×	body	128	valid
408.0ms	827×	body	512	valid
158.0ms	499×	body	256	valid
10.0ms	4×	body	4096	valid

Compiler

Compiled 47 to 35 computations (25.5% saved)

simplify38.0ms (0.5%)

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

34.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	34.1b	(/.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
✓	6.7b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
✓	27.0b	(sin.f64 (/.f64 x (*.f64 y 2)))
✓	27.5b	(tan.f64 (/.f64 x (*.f64 y 2)))

series68.0ms (0.9%)

Counts

3 → 72

Calls

3 calls:

38.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
23.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))
7.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))

rewrite11.0ms (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)))

simplify100.0ms (1.3%)

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

prune132.0ms (1.7%)

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

25.1b

Counts

78 → 17

Alt Table

Status	Error	Program
	48.6b	(.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))))))
	36.9b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))
	34.7b	(/.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))))
	45.8b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (-.f64 (.f64 1/2 (/.f64 x y)) (*.f64 1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
	48.3b	(.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))))))
	37.3b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	34.1b	(.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)))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	49.0b	(/.f64 (exp.f64 (log.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	49.1b	(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))))))
	58.5b	(/.f64 (log.f64 (exp.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	34.6b	(.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))))))
	34.1b	(.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 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
	34.1b	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	34.1b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
	34.6b	(/.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))))))
▶	28.0b	1
	59.3b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (/.f64 x (.f64 y 2))))))

Compiler

Compiled 2652 to 1925 computations (27.4% saved)

localize0.0ms (0%)

prune25.0ms (0.3%)

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

25.1b

Counts

17 → 17

Alt Table

Status	Error	Program
	48.6b	(.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))))))
	36.9b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))
	34.7b	(/.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))))
	45.8b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (-.f64 (.f64 1/2 (/.f64 x y)) (*.f64 1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
	48.3b	(.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))))))
	37.3b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	34.1b	(.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)))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	49.0b	(/.f64 (exp.f64 (log.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	49.1b	(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))))))
	58.5b	(/.f64 (log.f64 (exp.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	34.6b	(.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))))))
	34.1b	(.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 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
	34.1b	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
▶	34.1b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
	34.6b	(/.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))))))
✓	28.0b	1
	59.3b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (/.f64 x (.f64 y 2))))))

Compiler

Compiled 913 to 683 computations (25.2% saved)

localize15.0ms (0.2%)

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)))))
	6.7b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	27.0b	(sin.f64 (/.f64 x (*.f64 y 2)))
	27.5b	(tan.f64 (/.f64 x (*.f64 y 2)))

series47.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

47.0ms

(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:

1.0ms

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

simplify58.0ms (0.8%)

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

prune155.0ms (2.1%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	101	5	106
Fresh	3	12	15
Picked	1	0	1
Done	0	1	1
Total	105	18	123

Error

25.1b

Counts

123 → 18

Alt Table

Status	Error	Program
	48.6b	(.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))))))
	36.9b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))
	34.7b	(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))))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))))
	45.8b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (-.f64 (.f64 1/2 (/.f64 x y)) (*.f64 1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
	48.3b	(.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))))))
	37.3b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	34.7b	(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))))))))
	34.1b	(.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)))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	49.0b	(/.f64 (exp.f64 (log.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	49.1b	(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))))))
	58.5b	(/.f64 (log.f64 (exp.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	34.6b	(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))))))))
▶	34.1b	(log1p.f64 (cbrt.f64 (.f64 (.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))) (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))))
	34.6b	(.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))))))
	34.1b	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	34.1b	(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))))))))
✓	28.0b	1
	59.3b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (/.f64 x (.f64 y 2))))))

Compiler

Compiled 3600 to 2664 computations (26% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))))
	6.7b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	27.0b	(sin.f64 (/.f64 x (*.f64 y 2)))
	27.5b	(tan.f64 (/.f64 x (*.f64 y 2)))

series84.0ms (1.1%)

Counts

1 → 24

Calls

1 calls:

83.0ms

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

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`pow1_binary64`
7×	`add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64`
5×	`add-cube-cbrt_binary64`
3×	`associate-r_binary64`

Counts

1 → 27

Calls

1 calls:

3.0ms

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

simplify88.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

772×	`fma-neg_binary64`
345×	`sub-neg_binary64`
341×	`times-frac_binary64`
242×	`associate-l_binary64`
227×	`associate-+l+_binary64`

Counts

51 → 48

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	2403
1	248	1993
2	790	1699
3	3735	1673
4	4909	1673
5	4962	1673

prune671.0ms (8.9%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	270	9	279
Fresh	5	11	16
Picked	1	0	1
Done	0	1	1
Total	276	21	297

Error

25.0b

Counts

297 → 21

Alt Table

Status	Error	Program
	34.1b	(log1p.f64 (cbrt.f64 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))) (cbrt.f64 (.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))))) (cbrt.f64 (.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))))) (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))))
	34.6b	(.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))))))
	48.3b	(.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))))))
	34.1b	(log1p.f64 (cbrt.f64 (.f64 (.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))) (expm1.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))))))
	37.3b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	34.7b	(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))))))))
	34.1b	(.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)))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	35.8b	(log1p.f64 (cbrt.f64 (.f64 (.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))) (expm1.f64 1))))
	49.1b	(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))))))
	58.5b	(/.f64 (log.f64 (exp.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	34.1b	(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))))))))
	34.1b	(log1p.f64 (cbrt.f64 (.f64 (expm1.f64 (log1p.f64 (.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))))) (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))))
	34.1b	(log1p.f64 (cbrt.f64 (.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (.f64 1/2 (/.f64 x y))))) 2) (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))))
	37.3b	(log1p.f64 (cbrt.f64 (.f64 (.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))) (expm1.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) (.f64 1/24 (pow.f64 (/.f64 x y) 3))) (sin.f64 (/.f64 x (.f64 y 2))))))))
	34.7b	(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))))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))))
	34.6b	(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))))))))
	45.7b	(log1p.f64 (cbrt.f64 (.f64 (.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (-.f64 (.f64 1/2 (/.f64 x y)) (.f64 1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))) (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))))))
	36.7b	(log1p.f64 (cbrt.f64 (.f64 (pow.f64 (expm1.f64 1) 2) (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))))))
	36.8b	(log1p.f64 (cbrt.f64 (.f64 (.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (expm1.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)))))) (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))))
✓	28.0b	1
	59.3b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (/.f64 x (.f64 y 2))))))

Compiler

Compiled 16401 to 12190 computations (25.7% saved)

regimes875.0ms (11.6%)

Accuracy

Total 1.6b remaining (5.8%)

Threshold costs 0b (0%)

Counts

100 → 2

Compiler

Compiled 21045 to 15932 computations (24.3% saved)

bsearch5.0ms (0.1%)

Steps

Iters	Range		Point
3	5.81000455098182	6.899522420418417	6.559048086219479

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	18	54
1	21	54
2	20	54

end514.0ms (6.8%)

Compiler: Compiled 922 to 698 computations (24.3% saved)

Details

analyze1.2s (15.4%)

sample3.5s (46%)

simplify38.0ms (0.5%)

prune2.0ms (0%)

localize7.0ms (0.1%)

series68.0ms (0.9%)

rewrite11.0ms (0.1%)

simplify100.0ms (1.3%)

prune132.0ms (1.7%)

localize0.0ms (0%)

prune25.0ms (0.3%)

localize15.0ms (0.2%)

series47.0ms (0.6%)

rewrite1.0ms (0%)

simplify58.0ms (0.8%)

prune155.0ms (2.1%)

localize15.0ms (0.2%)

series84.0ms (1.1%)

rewrite5.0ms (0.1%)

simplify88.0ms (1.2%)

prune671.0ms (8.9%)

regimes875.0ms (11.6%)

bsearch5.0ms (0.1%)

simplify3.0ms (0%)

end514.0ms (6.8%)

Profiling