Details

analyze731.0ms (6.3%)

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
25%	74.9%	0.1%	7
37.4%	62.4%	0.1%	8
37.4%	62.4%	0.1%	9
56.2%	43.7%	0.1%	10
65.5%	34.3%	0.1%	11
65.5%	34.3%	0.1%	12
76.5%	23.4%	0.1%	13
81.9%	17.9%	0.1%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.4s (20.9%)

Results

1.0s	5946×	body	128	valid
955.0ms	1300×	body	1024	valid
289.0ms	659×	body	512	valid
100.0ms	344×	body	256	valid
10.0ms	7×	body	2048	valid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`fma-def_binary64`
5×	`+-commutative_binary64`
3×	`associate-+r+_binary64`
3×	`associate-+l+_binary64`
1×	`*-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	14	12
2	22	12
3	26	12
4	26	12

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))

Compiler

Compiled 42 to 23 computations (45.2% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (sin.f64 y))
✓	0.1b	(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))

series16.0ms (0.1%)

Counts

2 → 60

Calls

2 calls:

12.0ms	(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
4.0ms	(+.f64 x (sin.f64 y))

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64`
4×	`add-log-exp_binary64`
3×	`fma-def_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`add-cube-cbrt_binary64`

Counts

2 → 27

Calls

2 calls:

5.0ms	(+.f64 x (sin.f64 y))
0.0ms	(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))

simplify121.0ms (1%)

Algorithm

1×	egg-herbie

Rules

365×	`distribute-rgt-neg-in_binary64`
364×	`cancel-sign-sub-inv_binary64`
354×	`distribute-rgt-in_binary64`
339×	`distribute-lft-in_binary64`
311×	`associate-l_binary64`

Counts

87 → 63

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	875
1	178	835
2	400	828
3	1151	828
4	3114	828
5	4559	828
6	4930	828
7	4998	828
8	4927	828

prune45.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	60	3	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	4	64

Error

0.0b

Counts

64 → 4

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
	32.7b	(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
▶	1.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
	39.6b	(fma.f64 z (cos.f64 y) (log.f64 (exp.f64 (+.f64 (sin.f64 y) x))))

Compiler

Compiled 915 to 281 computations (69.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
✓	0.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
✓	0.5b	(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
✓	0.5b	(cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))

series1.1s (9.2%)

Counts

3 → 108

Calls

3 calls:

590.0ms

(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))

460.0ms

(cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))

15.0ms

(*.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
24×	`add-sqr-sqrt_binary64`
23×	`cbrt-prod_binary64`
16×	`pow1/3_binary64`
14×	`*-un-lft-identity_binary64`

Counts

3 → 93

Calls

3 calls:

8.0ms

(*.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))

4.0ms

(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))

1.0ms

(cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))

simplify222.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

804×	`fma-def_binary64`
652×	`times-frac_binary64`
323×	`*-commutative_binary64`
168×	`+-commutative_binary64`
127×	`sqr-pow_binary64`

Counts

201 → 254

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	772	10896
1	2612	9995
2	4999	9995
3	4962	9995

prune411.0ms (3.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	507	4	511
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	507	8	515

Error

0.0b

Counts

515 → 8

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
	32.7b	(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
✓	1.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
	4.5b	(.f64 (expm1.f64 (log1p.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
	33.1b	(.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
▶	1.5b	(.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
	30.7b	(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) 2)) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
	39.6b	(fma.f64 z (cos.f64 y) (log.f64 (exp.f64 (+.f64 (sin.f64 y) x))))

Compiler

Compiled 31485 to 11913 computations (62.2% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
✓	0.5b	(cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
	0.5b	(cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))
✓	0.6b	(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))

series979.0ms (8.4%)

Counts

2 → 72

Calls

2 calls:

578.0ms	(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
401.0ms	(cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))

rewrite5.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`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 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
1.0ms	(cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))

simplify142.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

789×	`fma-def_binary64`
638×	`times-frac_binary64`
301×	`*-commutative_binary64`
160×	`+-commutative_binary64`
139×	`sqr-pow_binary64`

Counts

99 → 150

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	724	9015
1	2517	8301
2	4979	8301

prune844.0ms (7.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	768	1	769
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	768	9	777

Error

0.0b

Counts

777 → 9

Alt Table

Status	Error	Program
▶	1.8b	(.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
✓	1.5b	(.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
✓	0.1b	(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
	32.7b	(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
✓	1.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
	4.5b	(.f64 (expm1.f64 (log1p.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
	33.1b	(.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
	30.7b	(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) 2)) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
	39.6b	(fma.f64 z (cos.f64 y) (log.f64 (exp.f64 (+.f64 (sin.f64 y) x))))

Compiler

Compiled 76923 to 27036 computations (64.9% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))
✓	0.6b	(.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))) (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))))
	0.6b	(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
✓	0.6b	(cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))

series1.8s (15.1%)

Counts

2 → 72

Calls

2 calls:

1.1s

(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))) (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))))

703.0ms

(cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`
9×	`unswap-sqr_binary64`

Counts

2 → 64

Calls

2 calls:

6.0ms

(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))) (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))))

1.0ms

(cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))

simplify332.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

608×	`*-commutative_binary64`
541×	`times-frac_binary64`
294×	`+-commutative_binary64`
292×	`associate-r_binary64`
270×	`fma-def_binary64`

Counts

136 → 193

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1210	18559
1	4367	18259
2	5058	18259

prune2.0s (16.8%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1251	1	1252
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	1251	10	1261

Error

0.0b

Counts

1261 → 10

Alt Table

Status	Error	Program
	32.7b	(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
	2.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (.f64 (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))))) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))))) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
✓	1.8b	(.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
✓	1.5b	(.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
✓	0.1b	(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
✓	1.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
	4.5b	(.f64 (expm1.f64 (log1p.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
	33.1b	(.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
	30.7b	(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) 2)) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
	39.6b	(fma.f64 z (cos.f64 y) (log.f64 (exp.f64 (+.f64 (sin.f64 y) x))))

Compiler

Compiled 194154 to 55898 computations (71.2% saved)

regimes334.0ms (2.9%)

Accuracy

Total 0.0b remaining (47.7%)

Threshold costs 0.0b (47.7%)

Counts

65 → 1

Compiler

Compiled 11172 to 3422 computations (69.4% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	9	12
2	9	12

end142.0ms (1.2%)

Compiler: Compiled 548 to 136 computations (75.2% saved)

Details

analyze731.0ms (6.3%)

sample2.4s (20.9%)

simplify9.0ms (0.1%)

prune3.0ms (0%)

localize7.0ms (0.1%)

series16.0ms (0.1%)

rewrite6.0ms (0.1%)

simplify121.0ms (1%)

prune45.0ms (0.4%)

localize11.0ms (0.1%)

series1.1s (9.2%)

rewrite21.0ms (0.2%)

simplify222.0ms (1.9%)

prune411.0ms (3.5%)

localize14.0ms (0.1%)

series979.0ms (8.4%)

rewrite5.0ms (0%)

simplify142.0ms (1.2%)

prune844.0ms (7.2%)

localize17.0ms (0.1%)

series1.8s (15.1%)

rewrite18.0ms (0.2%)

simplify332.0ms (2.9%)

prune2.0s (16.8%)

regimes334.0ms (2.9%)

simplify2.0ms (0%)

end142.0ms (1.2%)

Profiling