Details

analyze1.2s (13.8%)

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)

sample3.8s (45.1%)

Results

1.3s	1394×	body	1024	valid
1.2s	1095×	body	2048	valid
713.0ms	4419×	body	128	valid
410.0ms	866×	body	512	valid
141.0ms	481×	body	256	valid
3.0ms	1×	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

35.6b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	35.6b	(/.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))))
✓	26.6b	(sin.f64 (/.f64 x (*.f64 y 2)))
✓	27.2b	(tan.f64 (/.f64 x (*.f64 y 2)))

series69.0ms (0.8%)

Counts

3 → 72

Calls

3 calls:

37.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
23.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))
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	(tan.f64 (/.f64 x (*.f64 y 2)))
1.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))

simplify100.0ms (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

prune95.0ms (1.1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	63	14	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	14	78

Error

24.9b

Counts

78 → 14

Alt Table

Status	Error	Program
	36.2b	(.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))))))
	60.1b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	38.1b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))
	35.6b	(.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))))))
	38.3b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	35.6b	(cbrt.f64 (.f64 (.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
	50.5b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (.f64 (.f64 (sin.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))) (sin.f64 (/.f64 x (.f64 y 2))))))
	47.3b	(.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sin.f64 (/.f64 x (.f64 y 2)))))
	36.3b	(.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)))))
	35.6b	(.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 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
▶	26.8b	1
	59.3b	(/.f64 (log.f64 (exp.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	35.6b	(/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (.f64 (sin.f64 (/.f64 x (.f64 y 2))) (cos.f64 (/.f64 x (.f64 y 2)))))
	36.2b	(/.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))))))

Compiler

Compiled 2506 to 1811 computations (27.7% saved)

localize0.0ms (0%)

prune21.0ms (0.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	13	13
Picked	1	1
Done	0	0
Total	14	14

Error

24.9b

Counts

14 → 14

Alt Table

Status	Error	Program
	36.2b	(.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))))))
	60.1b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	38.1b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))
	35.6b	(.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))))))
	38.3b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
▶	35.6b	(cbrt.f64 (.f64 (.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
	50.5b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (.f64 (.f64 (sin.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))) (sin.f64 (/.f64 x (.f64 y 2))))))
	47.3b	(.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sin.f64 (/.f64 x (.f64 y 2)))))
	36.3b	(.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)))))
	35.6b	(.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 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
✓	26.8b	1
	59.3b	(/.f64 (log.f64 (exp.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	35.6b	(/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (.f64 (sin.f64 (/.f64 x (.f64 y 2))) (cos.f64 (/.f64 x (.f64 y 2)))))
	36.2b	(/.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))))))

Compiler

Compiled 767 to 569 computations (25.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(cbrt.f64 (.f64 (.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (/.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))))
	26.6b	(sin.f64 (/.f64 x (*.f64 y 2)))
	27.2b	(tan.f64 (/.f64 x (*.f64 y 2)))

series68.0ms (0.8%)

Counts

1 → 24

Calls

1 calls:

67.0ms

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

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`cbrt-div_binary64`
5×	`associate-*l/_binary64`
5×	`frac-times_binary64`
3×	`associate-*r/_binary64`
1×	`*-un-lft-identity_binary64`

Counts

1 → 19

Calls

1 calls:

9.0ms

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

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

911×	`fma-def_binary64`
673×	`associate-/l*_binary64`
455×	`associate-/r*_binary64`
324×	`associate-l_binary64`
318×	`associate-r_binary64`

Counts

43 → 38

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	74	1660
1	126	1051
2	248	985
3	788	979
4	3868	952
5	5028	952

prune569.0ms (6.8%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	262	7	269
Fresh	3	9	12
Picked	1	0	1
Done	0	1	1
Total	266	17	283

Error

24.7b

Counts

283 → 17

Alt Table

Status	Error	Program
	36.2b	(.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))))))
	60.1b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	38.0b	(cbrt.f64 (.f64 (.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))) (/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
	35.7b	(cbrt.f64 (.f64 (.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))))
	36.3b	(.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)))))
	45.9b	(/.f64 (cbrt.f64 (.f64 (.f64 (tan.f64 (/.f64 x (.f64 y 2))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (tan.f64 (/.f64 x (.f64 y 2))))) (cbrt.f64 (.f64 (sin.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))))
	47.3b	(.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sin.f64 (/.f64 x (.f64 y 2)))))
	36.1b	(cbrt.f64 (.f64 (.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) 1))
	38.0b	(cbrt.f64 (.f64 (.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))))
	35.6b	(.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 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
✓	26.8b	1
	35.6b	(.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))))))
▶	35.6b	(/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (.f64 (sin.f64 (/.f64 x (.f64 y 2))) (cos.f64 (/.f64 x (.f64 y 2)))))
	35.6b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))) (cbrt.f64 (cbrt.f64 (.f64 (.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))))) (cbrt.f64 (cbrt.f64 (.f64 (.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))))
	38.0b	(cbrt.f64 (.f64 (.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))))
	36.2b	(/.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))))))

Compiler

Compiled 14637 to 10550 computations (27.9% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (sin.f64 (/.f64 x (.f64 y 2))) (cos.f64 (/.f64 x (*.f64 y 2))))
✓	8.4b	(/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (.f64 (sin.f64 (/.f64 x (.f64 y 2))) (cos.f64 (/.f64 x (.f64 y 2)))))
	26.6b	(sin.f64 (/.f64 x (*.f64 y 2)))
✓	26.9b	(cos.f64 (/.f64 x (*.f64 y 2)))

series45.0ms (0.5%)

Counts

3 → 72

Calls

3 calls:

20.0ms

(/.f64 (sin.f64 (/.f64 x (*.f64 y 2))) (*.f64 (sin.f64 (/.f64 x (*.f64 y 2))) (cos.f64 (/.f64 x (*.f64 y 2)))))

17.0ms

(*.f64 (sin.f64 (/.f64 x (*.f64 y 2))) (cos.f64 (/.f64 x (*.f64 y 2))))

7.0ms

(cos.f64 (/.f64 x (*.f64 y 2)))

rewrite16.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
7×	`add-cube-cbrt_binary64`

Counts

3 → 54

Calls

3 calls:

8.0ms

(/.f64 (sin.f64 (/.f64 x (*.f64 y 2))) (*.f64 (sin.f64 (/.f64 x (*.f64 y 2))) (cos.f64 (/.f64 x (*.f64 y 2)))))

4.0ms

(*.f64 (sin.f64 (/.f64 x (*.f64 y 2))) (cos.f64 (/.f64 x (*.f64 y 2))))

1.0ms

(cos.f64 (/.f64 x (*.f64 y 2)))

simplify121.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

657×	`fma-def_binary64`
479×	`associate-/l*_binary64`
410×	`cancel-sign-sub-inv_binary64`
333×	`associate-/r*_binary64`
265×	`associate-l_binary64`

Counts

126 → 114

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	137	2687
1	324	2436
2	983	2373
3	3059	2307
4	4723	2307
5	4984	2307
6	4937	2307

prune499.0ms (5.9%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	140	8	148
Fresh	5	10	15
Picked	1	0	1
Done	0	1	1
Total	146	19	165

Error

24.7b

Counts

165 → 19

Alt Table

Status	Error	Program
	36.3b	(/.f64 (.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))))) (.f64 (sin.f64 (/.f64 x (.f64 y 2))) (cos.f64 (/.f64 x (.f64 y 2)))))
	36.2b	(.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))))))
	60.1b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	38.0b	(cbrt.f64 (.f64 (.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))) (/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
	36.3b	(.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)))))
	35.6b	(/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (.f64 (sin.f64 (/.f64 x (.f64 y 2))) (.f64 (.f64 (cbrt.f64 (cos.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (cos.f64 (/.f64 x (.f64 y 2))))) (cbrt.f64 (cos.f64 (/.f64 x (.f64 y 2)))))))
	59.3b	(/.f64 (log.f64 (exp.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (.f64 (sin.f64 (/.f64 x (.f64 y 2))) (cos.f64 (/.f64 x (.f64 y 2)))))
	36.2b	(/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (/.f64 x (.f64 y 2))) (cos.f64 (/.f64 x (.f64 y 2))))) (cbrt.f64 (.f64 (sin.f64 (/.f64 x (.f64 y 2))) (cos.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (.f64 (sin.f64 (/.f64 x (.f64 y 2))) (cos.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))))
	38.0b	(cbrt.f64 (.f64 (.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))))
	41.4b	(/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (.f64 (sin.f64 (/.f64 x (.f64 y 2))) (fma.f64 (/.f64 (.f64 x x) (*.f64 y y)) -1/8 1)))
	47.3b	(.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sin.f64 (/.f64 x (.f64 y 2)))))
	36.1b	(cbrt.f64 (.f64 (.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) 1))
	38.0b	(cbrt.f64 (.f64 (.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))))
	27.1b	(.f64 (.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (.f64 2 y))))) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (.f64 2 y)))))) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y))))))
✓	26.8b	1
	36.3b	(/.f64 (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (/.f64 (.f64 (sin.f64 (/.f64 x (.f64 y 2))) (cos.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	60.1b	(/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (log.f64 (pow.f64 (exp.f64 (cos.f64 (/.f64 x (.f64 2 y)))) (sin.f64 (/.f64 x (*.f64 2 y))))))
	35.6b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))) (cbrt.f64 (cbrt.f64 (.f64 (.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))))) (cbrt.f64 (cbrt.f64 (.f64 (.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))))

Compiler

Compiled 4792 to 3443 computations (28.2% saved)

regimes1.3s (15.8%)

Accuracy

Total 2.5b remaining (8.7%)

Threshold costs 0b (0%)

Counts

195 → 1

Compiler

Compiled 31766 to 23568 computations (25.8% 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

end413.0ms (4.9%)

Compiler: Compiled 709 to 526 computations (25.8% saved)

Details

analyze1.2s (13.8%)

sample3.8s (45.1%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

series69.0ms (0.8%)

rewrite9.0ms (0.1%)

simplify100.0ms (1.2%)

prune95.0ms (1.1%)

localize0.0ms (0%)

prune21.0ms (0.2%)

localize11.0ms (0.1%)

series68.0ms (0.8%)

rewrite10.0ms (0.1%)

simplify59.0ms (0.7%)

prune569.0ms (6.8%)

localize10.0ms (0.1%)

series45.0ms (0.5%)

rewrite16.0ms (0.2%)

simplify121.0ms (1.4%)

prune499.0ms (5.9%)

regimes1.3s (15.8%)

simplify2.0ms (0%)

end413.0ms (4.9%)

Profiling