Details

analyze234.0ms (1.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
25%	25%	74.9%	0.1%	0%	0%	0%	7
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	8
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	9
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	10
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	11
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.8s (9.4%)

Results

976.0ms	6193×	body	256	valid
604.0ms	1383×	body	1024	valid
204.0ms	677×	body	512	valid
3.0ms	3×	body	2048	valid

Bogosity

preprocess16.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

24×	`fma-def_binary64`
20×	`+-commutative_binary64`
12×	`associate-+r+_binary64`
12×	`associate-+l+_binary64`
4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	56
1	42	48
2	78	48
3	102	48
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (+.f64 y (sin.f64 x)) (*.f64 z (cos.f64 x)))
(+.f64 (+.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+.f64 (+.f64 x (sin.f64 z)) (*.f64 y (cos.f64 z)))

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	14	12
2	23	12
3	29	12

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))

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

eval1.0ms (0%)

Compiler: Compiled 20 to 9 computations (55% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series15.0ms (0.1%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(+.f64 x (sin.f64 y))
2.0ms	z	@	0	(*.f64 z (cos.f64 y))
2.0ms	y	@	0	(*.f64 z (cos.f64 y))
1.0ms	z	@	inf	(*.f64 z (cos.f64 y))
1.0ms	y	@	inf	(*.f64 z (cos.f64 y))

Compiler

Compiled 485 to 368 computations (24.1% saved)

rewrite46.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`pow1_binary64`
820×	`add-log-exp_binary64`
820×	`log1p-expm1-u_binary64`
820×	`expm1-log1p-u_binary64`
801×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	166	12
2	2201	12

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(*.f64 z (cos.f64 y))
(+.f64 x (sin.f64 y))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 z (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 x x) (-.f64 x (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (fma.f64 x x (.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (sin.f64 y)) (-.f64 (.f64 x x) (pow.f64 (sin.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 x x (.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (.f64 x x) (.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) (neg.f64 (fma.f64 x x (.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 y) 2))) (neg.f64 (-.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (-.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) x)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (cos.f64 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (sin.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (*.f64 x x) (*.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) (neg.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (neg.f64 (-.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (-.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) x)))))

simplify72.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

639×	`associate-/r*_binary64`
379×	`fma-def_binary64`
376×	`fma-neg_binary64`
347×	`div-sub_binary64`
312×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	771
1	370	754
2	1150	750
3	4204	683

Stop Event

1×	node limit

Counts

86 → 77

Calls

Call 1

Inputs
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) z)) (.f64 -1/720 (.f64 z (pow.f64 y 6))))))
(sin.f64 y)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
x
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
x
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
x
(+.f64 y x)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y x))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (.f64 1/120 (pow.f64 y 5)) x)))
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(-.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1)
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(-.f64 (+.f64 1 (+.f64 x (sin.f64 y))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))))
(*.f64 (+.f64 x (sin.f64 y)) 1)
(*.f64 1 (+.f64 x (sin.f64 y)))
(*.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (+.f64 x (sin.f64 y))))
(*.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (fma.f64 x x (.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 x (sin.f64 y))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))))
(/.f64 1 (/.f64 (-.f64 x (sin.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (.f64 x x) (.f64 x (sin.f64 y)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) (neg.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (neg.f64 (-.f64 x (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (-.f64 (sin.f64 y) x))
(pow.f64 (+.f64 x (sin.f64 y)) 1)
(pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2))
(log.f64 (exp.f64 (+.f64 x (sin.f64 y))))
(cbrt.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sin.f64 y))))
(log1p.f64 (expm1.f64 (+.f64 x (sin.f64 y))))
(exp.f64 (log.f64 (+.f64 x (sin.f64 y))))
(fma.f64 1 x (sin.f64 y))
(fma.f64 1 (sin.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sin.f64 y))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) x)

Outputs
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 z (.f64 y y)) z)
(fma.f64 -1/2 (.f64 y (.f64 y z)) z)
(.f64 z (fma.f64 -1/2 (.f64 y y) 1))
(.f64 z (fma.f64 (.f64 y -1/2) y 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (.f64 z (.f64 y y)) z) (.f64 1/24 (.f64 z (pow.f64 y 4))))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(.f64 z (+.f64 (.f64 y (*.f64 y -1/2)) (fma.f64 1/24 (pow.f64 y 4) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) z)) (.f64 -1/720 (.f64 z (pow.f64 y 6))))))
(+.f64 (fma.f64 -1/2 (.f64 z (.f64 y y)) z) (fma.f64 1/24 (.f64 z (pow.f64 y 4)) (.f64 -1/720 (*.f64 z (pow.f64 y 6)))))
(+.f64 (fma.f64 -1/2 (.f64 y (.f64 y z)) z) (fma.f64 1/24 (.f64 z (pow.f64 y 4)) (.f64 (pow.f64 y 6) (*.f64 z -1/720))))
(fma.f64 z (.f64 y (.f64 y -1/2)) (.f64 z (+.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (.f64 -1/720 (pow.f64 y 6)))))
(.f64 z (+.f64 (.f64 y (.f64 y -1/2)) (+.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (.f64 -1/720 (pow.f64 y 6)))))
(sin.f64 y)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
x
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
x
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
x
(+.f64 y x)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y x))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 y x))
(+.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 y (fma.f64 -1/6 (pow.f64 y 3) x))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (.f64 1/120 (pow.f64 y 5)) x)))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 y (fma.f64 1/120 (pow.f64 y 5) x)))
(+.f64 (fma.f64 1/120 (pow.f64 y 5) x) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 y (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) x)))
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(-.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(*.f64 (cos.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 (cos.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(*.f64 (cos.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(*.f64 (cos.f64 y) z)
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))
(*.f64 (cos.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(-.f64 (+.f64 1 (+.f64 x (sin.f64 y))) 1)
(+.f64 (sin.f64 y) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (+.f64 (sin.f64 y) x) 1)
(*.f64 (+.f64 x (sin.f64 y)) 1)
(+.f64 (sin.f64 y) x)
(*.f64 1 (+.f64 x (sin.f64 y)))
(+.f64 (sin.f64 y) x)
(*.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2))
(+.f64 (sin.f64 y) x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (+.f64 x (sin.f64 y))))
(+.f64 (sin.f64 y) x)
(*.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))))
(+.f64 (sin.f64 y) x)
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (fma.f64 x x (.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) 1) (fma.f64 x x (.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))
(.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 x (sin.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (+.f64 (sin.f64 y) x) 1)
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) 1) (fma.f64 x x (.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))
(/.f64 1 (/.f64 (-.f64 x (sin.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (+.f64 (sin.f64 y) x) 1)
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) 1) (fma.f64 x x (.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (.f64 x x) (.f64 x (sin.f64 y)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) 1) (fma.f64 x x (.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (+.f64 (sin.f64 y) x) 1)
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) (neg.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) 1) (fma.f64 x x (.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (neg.f64 (-.f64 x (sin.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (+.f64 (sin.f64 y) x) 1)
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (-.f64 (sin.f64 y) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (+.f64 (sin.f64 y) x) 1)
(pow.f64 (+.f64 x (sin.f64 y)) 1)
(+.f64 (sin.f64 y) x)
(pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) 1/3)
(+.f64 (sin.f64 y) x)
(pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 3)
(+.f64 (sin.f64 y) x)
(pow.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) 2)
(+.f64 (sin.f64 y) x)
(sqrt.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2))
(+.f64 (sin.f64 y) x)
(log.f64 (exp.f64 (+.f64 x (sin.f64 y))))
(+.f64 (sin.f64 y) x)
(cbrt.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3))
(+.f64 (sin.f64 y) x)
(expm1.f64 (log1p.f64 (+.f64 x (sin.f64 y))))
(+.f64 (sin.f64 y) x)
(log1p.f64 (expm1.f64 (+.f64 x (sin.f64 y))))
(+.f64 (sin.f64 y) x)
(exp.f64 (log.f64 (+.f64 x (sin.f64 y))))
(+.f64 (sin.f64 y) x)
(fma.f64 1 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(fma.f64 1 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sin.f64 y))
(+.f64 (sin.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) x)
(+.f64 (sin.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sin.f64 y))
(+.f64 (sin.f64 y) x)
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) x)
(+.f64 (sin.f64 y) x)

eval27.0ms (0.1%)

Compiler: Compiled 1203 to 472 computations (60.8% saved)

prune19.0ms (0.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	70	7	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	7	78

Error

0.0b

Counts

78 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	31.3b	(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
▶	0.6b	(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
▶	23.8b	(+.f64 (+.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
	23.7b	(+.f64 (+.f64 x (sin.f64 y)) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))))
▶	11.4b	(+.f64 (+.f64 x (sin.f64 y)) z)
▶	26.3b	(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
▶	9.2b	(+.f64 x (*.f64 z (cos.f64 y)))

Compiler

Compiled 180 to 130 computations (27.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x (sin.f64 y))
	0.1b	(*.f64 z (cos.f64 y))
✓	0.6b	(cbrt.f64 (*.f64 z (cos.f64 y)))
✓	0.8b	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)

Compiler

Compiled 43 to 14 computations (67.4% saved)

series3.6s (18.7%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
1.2s	z	@	-inf	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
836.0ms	z	@	0	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
805.0ms	z	@	inf	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
277.0ms	z	@	-inf	(cbrt.f64 (*.f64 z (cos.f64 y)))
207.0ms	z	@	0	(cbrt.f64 (*.f64 z (cos.f64 y)))

Compiler

Compiled 315071 to 256230 computations (18.7% saved)

rewrite48.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`pow1_binary64`
596×	`add-log-exp_binary64`
596×	`log1p-expm1-u_binary64`
596×	`expm1-log1p-u_binary64`
581×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	166	14
2	1669	14

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(cbrt.f64 (*.f64 z (cos.f64 y)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 z (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 z) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) 3) (cbrt.f64 (.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 1) (cbrt.f64 (.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (pow.f64 (.f64 z (cos.f64 y)) 1/6)) (pow.f64 (.f64 z (cos.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (.f64 z (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (pow.f64 (.f64 z (cos.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 1/3) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (cos.f64 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (.f64 z (cos.f64 y)))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) 3) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (pow.f64 (*.f64 z (cos.f64 y)) 1/6)) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (cos.f64 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 z (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (cos.f64 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))))

simplify50.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

713×	`fma-def_binary64`
683×	`associate-/l*_binary64`
629×	`associate-/r*_binary64`
260×	`distribute-rgt-in_binary64`
259×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	1964
1	592	1416
2	2075	889

Stop Event

1×	node limit

Counts

76 → 88

Calls

Call 1

Inputs
(*.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/6 z) (.f64 (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 z 1/3) z) (pow.f64 (pow.f64 z 1/3) 2))) (.f64 -1/6 (/.f64 (.f64 z (pow.f64 z 1/3)) (pow.f64 (pow.f64 z 1/3) 2)))) (pow.f64 z 1/3)))) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3)))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/6 z) (.f64 (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 z 1/3) z) (pow.f64 (pow.f64 z 1/3) 2))) (.f64 -1/6 (/.f64 (.f64 z (pow.f64 z 1/3)) (pow.f64 (pow.f64 z 1/3) 2)))) (pow.f64 z 1/3)))) (+.f64 (.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3)) (.f64 (+.f64 (.f64 (+.f64 (.f64 1/36 (/.f64 (pow.f64 z 2) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (pow.f64 z 1/3)) (pow.f64 (pow.f64 z 1/3) 2)))) (pow.f64 z 1/3)) (+.f64 (.f64 1/3 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2)))))) (.f64 -1/6 (/.f64 (.f64 (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 z 1/3) z) (pow.f64 (pow.f64 z 1/3) 2))) (.f64 -1/6 (/.f64 (.f64 z (pow.f64 z 1/3)) (pow.f64 (pow.f64 z 1/3) 2)))) z) (pow.f64 (pow.f64 z 1/3) 2))))) (pow.f64 y 4))))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/6 z) (.f64 (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 z 1/3) z) (pow.f64 (pow.f64 z 1/3) 2))) (.f64 -1/6 (/.f64 (.f64 z (pow.f64 z 1/3)) (pow.f64 (pow.f64 z 1/3) 2)))) (pow.f64 z 1/3)))) (+.f64 (.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3)) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 z 1/3) (+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 z 1/3) (-.f64 (.f64 -1/720 z) (+.f64 (.f64 -1/6 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (.f64 (pow.f64 z 1/3) z)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (.f64 z (pow.f64 z 1/3))) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 -1/216 (/.f64 (pow.f64 z 3) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 3))))))) (pow.f64 (pow.f64 z 1/3) 2))) (.f64 -1/9 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) z) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 z 1/3) z) (pow.f64 (pow.f64 z 1/3) 2))) (.f64 -1/6 (/.f64 (.f64 z (pow.f64 z 1/3)) (pow.f64 (pow.f64 z 1/3) 2))))) (pow.f64 (pow.f64 z 1/3) 2))) (+.f64 (.f64 1/3 (-.f64 (.f64 -1/720 z) (+.f64 (.f64 -1/6 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (.f64 (pow.f64 z 1/3) z)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (.f64 z (pow.f64 z 1/3))) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 -1/216 (/.f64 (pow.f64 z 3) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 3))))))) (.f64 -1/6 (/.f64 (.f64 (+.f64 (.f64 1/36 (/.f64 (pow.f64 z 2) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (pow.f64 z 1/3)) (pow.f64 (pow.f64 z 1/3) 2)))) z) (pow.f64 (pow.f64 z 1/3) 2)))))) (pow.f64 y 6)) (.f64 (+.f64 (.f64 (+.f64 (.f64 1/36 (/.f64 (pow.f64 z 2) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (pow.f64 z 1/3)) (pow.f64 (pow.f64 z 1/3) 2)))) (pow.f64 z 1/3)) (+.f64 (.f64 1/3 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2)))))) (.f64 -1/6 (/.f64 (.f64 (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 z 1/3) z) (pow.f64 (pow.f64 z 1/3) 2))) (.f64 -1/6 (/.f64 (*.f64 z (pow.f64 z 1/3)) (pow.f64 (pow.f64 z 1/3) 2)))) z) (pow.f64 (pow.f64 z 1/3) 2))))) (pow.f64 y 4)))))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/3) 2) (pow.f64 (*.f64 (cos.f64 y) z) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/3) 2) (pow.f64 (*.f64 (cos.f64 y) z) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/3) 2) (pow.f64 (*.f64 (cos.f64 y) z) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/3) 2) (pow.f64 (*.f64 (cos.f64 y) z) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/3) 2) (pow.f64 (*.f64 (cos.f64 y) z) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/3) 2) (pow.f64 (*.f64 (cos.f64 y) z) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/3) 2) (pow.f64 (*.f64 (cos.f64 y) z) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/3) 2) (pow.f64 (*.f64 (cos.f64 y) z) 1/3))
(pow.f64 z 1/3)
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) z) (pow.f64 (pow.f64 z 1/3) 2))) (pow.f64 z 1/3))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) z) (pow.f64 (pow.f64 z 1/3) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (pow.f64 y 4)) (pow.f64 (pow.f64 z 1/3) 2))) (pow.f64 z 1/3)))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) z) (pow.f64 (pow.f64 z 1/3) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (pow.f64 y 4)) (pow.f64 (pow.f64 z 1/3) 2))) (+.f64 (pow.f64 z 1/3) (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 -1/720 z) (+.f64 (.f64 -1/6 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (.f64 (pow.f64 z 1/3) z)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (.f64 z (pow.f64 z 1/3))) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (*.f64 -1/216 (/.f64 (pow.f64 z 3) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 3)))))) (pow.f64 y 6)) (pow.f64 (pow.f64 z 1/3) 2))))))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(-.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(.f64 (.f64 z (cos.f64 y)) 1)
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(.f64 1 (.f64 z (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) 3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 1) (cbrt.f64 (.f64 z (cos.f64 y))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (pow.f64 (.f64 z (cos.f64 y)) 1/6)) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 z (cos.f64 y)))) 1)
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 1)
(.f64 1 (cbrt.f64 (.f64 z (cos.f64 y))))
(*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 z (cos.f64 y))))
(.f64 (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3))
(pow.f64 (*.f64 z (cos.f64 y)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))

Outputs
(*.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3))
(pow.f64 (cbrt.f64 z) 3)
z
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/6 z) (.f64 (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 z 1/3) z) (pow.f64 (pow.f64 z 1/3) 2))) (.f64 -1/6 (/.f64 (.f64 z (pow.f64 z 1/3)) (pow.f64 (pow.f64 z 1/3) 2)))) (pow.f64 z 1/3)))) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3)))
(fma.f64 (.f64 y y) (fma.f64 -1/6 z (.f64 (cbrt.f64 z) (.f64 -1/6 (+.f64 (/.f64 (.f64 z (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (*.f64 z (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)))))) (pow.f64 (cbrt.f64 z) 3))
(fma.f64 (.f64 y y) (fma.f64 (cbrt.f64 z) (.f64 (/.f64 z (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z))) -1/3) (*.f64 z -1/6)) z)
(fma.f64 y (*.f64 y (fma.f64 z -1/6 (/.f64 z -3))) z)
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(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) z) (pow.f64 (pow.f64 z 1/3) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (pow.f64 y 4)) (pow.f64 (pow.f64 z 1/3) 2))) (pow.f64 z 1/3)))
(fma.f64 -1/6 (/.f64 (.f64 y y) (/.f64 (pow.f64 (cbrt.f64 z) 2) z)) (fma.f64 1/3 (/.f64 (-.f64 (.f64 z 1/24) (.f64 (/.f64 (.f64 (cbrt.f64 z) (*.f64 z z)) (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2)) 1/12)) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 y 4))) (cbrt.f64 z)))
(fma.f64 -1/6 (.f64 (/.f64 (.f64 y y) (pow.f64 (cbrt.f64 z) 2)) z) (fma.f64 1/3 (.f64 (/.f64 (fma.f64 z 1/24 (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (*.f64 z (cbrt.f64 z))) -1/12)) (pow.f64 (cbrt.f64 z) 2)) (pow.f64 y 4)) (cbrt.f64 z)))
(fma.f64 1/3 (.f64 (/.f64 (fma.f64 z 1/24 (.f64 z -1/12)) (/.f64 z (cbrt.f64 z))) (pow.f64 y 4)) (fma.f64 -1/6 (.f64 (cbrt.f64 z) (.f64 y y)) (cbrt.f64 z)))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) z) (pow.f64 (pow.f64 z 1/3) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (pow.f64 y 4)) (pow.f64 (pow.f64 z 1/3) 2))) (+.f64 (pow.f64 z 1/3) (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 -1/720 z) (+.f64 (.f64 -1/6 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (.f64 (pow.f64 z 1/3) z)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (.f64 z (pow.f64 z 1/3))) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (*.f64 -1/216 (/.f64 (pow.f64 z 3) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 3)))))) (pow.f64 y 6)) (pow.f64 (pow.f64 z 1/3) 2))))))
(fma.f64 -1/6 (/.f64 (.f64 y y) (/.f64 (pow.f64 (cbrt.f64 z) 2) z)) (+.f64 (fma.f64 1/3 (/.f64 (-.f64 (.f64 z 1/24) (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2)) 1/12)) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 y 4))) (cbrt.f64 z)) (.f64 1/3 (/.f64 (-.f64 (.f64 z -1/720) (fma.f64 -1/6 (/.f64 (-.f64 (.f64 z 1/24) (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2)) 1/12)) (/.f64 (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2) (.f64 z (cbrt.f64 z)))) (fma.f64 -1/6 (/.f64 (-.f64 (.f64 z 1/24) (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2)) 1/12)) (/.f64 (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2) (.f64 z (cbrt.f64 z)))) (.f64 -1/216 (/.f64 (pow.f64 z 3) (pow.f64 (pow.f64 (cbrt.f64 z) 2) 3)))))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 y 6))))))
(fma.f64 -1/6 (.f64 (/.f64 (.f64 y y) (pow.f64 (cbrt.f64 z) 2)) z) (fma.f64 1/3 (.f64 (/.f64 (fma.f64 z 1/24 (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (.f64 z (cbrt.f64 z))) -1/12)) (pow.f64 (cbrt.f64 z) 2)) (pow.f64 y 4)) (fma.f64 1/3 (/.f64 (-.f64 (.f64 z -1/720) (+.f64 (.f64 -1/216 (/.f64 (pow.f64 z 3) (.f64 z z))) (.f64 (.f64 (/.f64 (fma.f64 z 1/24 (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (.f64 z (cbrt.f64 z))) -1/12)) (.f64 z (cbrt.f64 z))) (.f64 z (cbrt.f64 z))) -1/3))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 y 6))) (cbrt.f64 z))))
(fma.f64 -1/6 (.f64 (cbrt.f64 z) (.f64 y y)) (fma.f64 1/3 (.f64 (/.f64 (fma.f64 z 1/24 (.f64 z -1/12)) (/.f64 z (cbrt.f64 z))) (pow.f64 y 4)) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 y 6) (/.f64 z (cbrt.f64 z))) (-.f64 (.f64 z -1/720) (fma.f64 z -1/216 (-.f64 (/.f64 z -72) (/.f64 z -36))))) (cbrt.f64 z))))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(-.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 (cos.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (.f64 z (cos.f64 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 1 (.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(.f64 (cbrt.f64 z) (.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (cos.f64 y))))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y))))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) 3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 1) (cbrt.f64 (.f64 z (cos.f64 y))))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y)))
(.f64 (cbrt.f64 z) (.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (cos.f64 y))))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (pow.f64 (.f64 z (cos.f64 y)) 1/6)) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 z (cos.f64 y)))) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 1 (cbrt.f64 (.f64 z (cos.f64 y))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 z (cos.f64 y))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(pow.f64 (*.f64 z (cos.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 2)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (cos.f64 y))

Compiler

Compiled 18 to 6 computations (66.7% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x (sin.f64 y))

Compiler

Compiled 18 to 6 computations (66.7% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series8.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
1.0ms	y	@	inf	(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
1.0ms	y	@	-inf	(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
1.0ms	z	@	-inf	(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
1.0ms	z	@	inf	(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))

Compiler

Compiled 278 to 205 computations (26.3% saved)

rewrite44.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

809×	`pow1_binary64`
748×	`add-log-exp_binary64`
748×	`log1p-expm1-u_binary64`
748×	`expm1-log1p-u_binary64`
731×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	147	9
2	2006	9

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (neg.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (cos.f64 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) z (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 y) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z (cos.f64 y)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))))))

simplify49.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

721×	`fma-neg_binary64`
519×	`associate-l_binary64`
454×	`associate-r_binary64`
442×	`div-sub_binary64`
280×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	98	723
1	252	698
2	844	698
3	5059	698

Stop Event

1×	node limit

Counts

59 → 52

Calls

Call 1

Inputs
z
(+.f64 y z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 y z))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z)))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(sin.f64 y)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(-.f64 (+.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y))) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) (.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1)
(*.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y)))
(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))
(.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))))
(.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (sin.f64 y)))) (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 3))))
(/.f64 1 (/.f64 (-.f64 (sin.f64 y) (.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (-.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 (sin.f64 y) z) (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (sin.f64 y) (.f64 z (cos.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (sin.f64 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) (neg.f64 (-.f64 (sin.f64 y) (.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (.f64 z (cos.f64 y)) (sin.f64 y)))
(pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2)
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 1 (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 1 (*.f64 z (cos.f64 y)) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (.f64 z (cos.f64 y))) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (.f64 z (cos.f64 y))) (sin.f64 y))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))

Outputs
z
(+.f64 y z)
(+.f64 z y)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 y z))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (+.f64 z y))
(+.f64 z (fma.f64 (.f64 y y) (.f64 z -1/2) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z)))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (.f64 z (.f64 y y)) (+.f64 z y)))
(+.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 (.f64 y y) (.f64 z -1/2) y)))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(sin.f64 y)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(-.f64 (+.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y))) 1)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) (.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))))
(/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) 1) (+.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 (sin.f64 y))) (pow.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (sin.f64 y)))) (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) 1) (+.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 (sin.f64 y))) (pow.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(/.f64 1 (/.f64 (-.f64 (sin.f64 y) (.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (sin.f64 y)))))
(/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) 1) (+.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 (sin.f64 y))) (pow.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (-.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 (sin.f64 y) z) (cos.f64 y)))))
(/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) 1) (+.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 (sin.f64 y))) (pow.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (sin.f64 y) (.f64 z (cos.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (sin.f64 y))))))
(/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) 1) (+.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 (sin.f64 y))) (pow.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) (neg.f64 (-.f64 (sin.f64 y) (.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(/.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (.f64 z (cos.f64 y)) (sin.f64 y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3) 1/3)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 3)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 1 (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 1 (*.f64 z (cos.f64 y)) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (.f64 z (cos.f64 y))) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (.f64 z (cos.f64 y))) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x (sin.f64 y))
	0.1b	(*.f64 z (cos.f64 y))
✓	0.1b	(pow.f64 (*.f64 z (cos.f64 y)) 3)
✓	41.1b	(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))

Compiler

Compiled 44 to 17 computations (61.4% saved)

series45.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
13.0ms	y	@	0	(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
6.0ms	z	@	-inf	(pow.f64 (*.f64 z (cos.f64 y)) 3)
4.0ms	y	@	inf	(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
4.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
4.0ms	z	@	inf	(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))

Compiler

Compiled 1967 to 1519 computations (22.8% saved)

rewrite49.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

645×	`pow1_binary64`
603×	`add-log-exp_binary64`
603×	`log1p-expm1-u_binary64`
603×	`expm1-log1p-u_binary64`
586×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	168	15
2	1728	15

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (cos.f64 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 (cos.f64 y) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) (*.f64 z (pow.f64 (*.f64 z (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (cos.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 z (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) (pow.f64 (*.f64 z (cos.f64 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 3) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) z) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (cos.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (sqrt.f64 (*.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 z (cos.f64 y)))))))))

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

467×	`associate-/r*_binary64`
456×	`distribute-rgt-in_binary64`
449×	`associate-/l*_binary64`
445×	`distribute-lft-in_binary64`
225×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	1998
1	591	1281
2	2478	1162

Stop Event

1×	node limit

Counts

102 → 98

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)))
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)))
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)))
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)))
(pow.f64 (*.f64 (pow.f64 z 2) z) 1/3)
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z)))) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z) (+.f64 (.f64 1/24 (.f64 (pow.f64 z 2) z)) (.f64 1/2 (.f64 (pow.f64 z 2) z)))) (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z))) 2) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3)) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 2))))) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z)))) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3)))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z) (+.f64 (.f64 1/24 (.f64 (pow.f64 z 2) z)) (.f64 1/2 (.f64 (pow.f64 z 2) z)))) (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z))) 2) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3)) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 2))))) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/720 (.f64 (pow.f64 z 2) z)) (+.f64 (.f64 -1/24 (.f64 (pow.f64 z 2) z)) (+.f64 (.f64 (+.f64 (.f64 -1/360 (pow.f64 z 2)) (.f64 -1/24 (pow.f64 z 2))) z) (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z))))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z) (+.f64 (.f64 1/24 (.f64 (pow.f64 z 2) z)) (.f64 1/2 (.f64 (pow.f64 z 2) z)))) (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z))) 2) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3)) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 2)))) (.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z))) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3))) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z))) (.f64 (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z) (+.f64 (.f64 1/24 (.f64 (pow.f64 z 2) z)) (.f64 1/2 (.f64 (pow.f64 z 2) z)))) (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z))) 2) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3)) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 2)))) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3))) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 2))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z))) 3) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 3)))))) (pow.f64 y 6)) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z)))) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3))))
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (cos.f64 y)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (cos.f64 y)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (cos.f64 y)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (cos.f64 y)))
(.f64 (pow.f64 (/.f64 1 z) -3) (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))
(.f64 (pow.f64 (/.f64 1 z) -3) (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))
(.f64 (pow.f64 (/.f64 1 z) -3) (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))
(.f64 (pow.f64 (/.f64 1 z) -3) (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))
(.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) (pow.f64 (/.f64 -1 z) -3))))
(.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) (pow.f64 (/.f64 -1 z) -3))))
(.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) (pow.f64 (/.f64 -1 z) -3))))
(.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) (pow.f64 (/.f64 -1 z) -3))))
(*.f64 (pow.f64 z 2) z)
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z)))) (.f64 (pow.f64 z 2) z))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z) (+.f64 (.f64 1/24 (.f64 (pow.f64 z 2) z)) (.f64 1/2 (.f64 (pow.f64 z 2) z)))) (pow.f64 y 4)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z)))) (.f64 (pow.f64 z 2) z)))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z) (+.f64 (.f64 1/24 (.f64 (pow.f64 z 2) z)) (.f64 1/2 (.f64 (pow.f64 z 2) z)))) (pow.f64 y 4)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z)))) (+.f64 (.f64 (pow.f64 z 2) z) (.f64 (+.f64 (.f64 -1/720 (.f64 (pow.f64 z 2) z)) (+.f64 (.f64 -1/24 (.f64 (pow.f64 z 2) z)) (+.f64 (.f64 (+.f64 (.f64 -1/360 (pow.f64 z 2)) (.f64 -1/24 (pow.f64 z 2))) z) (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z))))) (pow.f64 y 6)))))
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(-.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(.f64 (.f64 z (cos.f64 y)) 1)
(.f64 1 (.f64 z (cos.f64 y)))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(.f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(-.f64 (+.f64 1 (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1)
(.f64 z (.f64 (cos.f64 y) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(.f64 (cos.f64 y) (.f64 z (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(.f64 (.f64 z (cos.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) 1)
(.f64 1 (pow.f64 (.f64 z (cos.f64 y)) 3))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 3/2) (pow.f64 (*.f64 z (cos.f64 y)) 3/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 3) (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 3))
(.f64 (.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) z) (cos.f64 y))
(.f64 (.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (cos.f64 y)) z)
(.f64 (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) 1) (.f64 z (cos.f64 y)))
(.f64 (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2)) (cbrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (sqrt.f64 (.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(exp.f64 (.f64 3 (log.f64 (.f64 z (cos.f64 y)))))

Outputs
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)))
(neg.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z) (cbrt.f64 -1)))
(.f64 (cbrt.f64 -1) (neg.f64 (.f64 (cos.f64 y) z)))
(.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) (neg.f64 z)))
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)))
(neg.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z) (cbrt.f64 -1)))
(.f64 (cbrt.f64 -1) (neg.f64 (.f64 (cos.f64 y) z)))
(.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) (neg.f64 z)))
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)))
(neg.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z) (cbrt.f64 -1)))
(.f64 (cbrt.f64 -1) (neg.f64 (.f64 (cos.f64 y) z)))
(.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) (neg.f64 z)))
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)))
(neg.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z) (cbrt.f64 -1)))
(.f64 (cbrt.f64 -1) (neg.f64 (.f64 (cos.f64 y) z)))
(.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) (neg.f64 z)))
(pow.f64 (*.f64 (pow.f64 z 2) z) 1/3)
(cbrt.f64 (pow.f64 z 3))
z
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z)))) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3))
(fma.f64 1/3 (/.f64 (.f64 (.f64 y y) (*.f64 (pow.f64 z 3) -3/2)) (pow.f64 (cbrt.f64 (pow.f64 z 3)) 2)) (cbrt.f64 (pow.f64 z 3)))
(fma.f64 1/3 (/.f64 y (/.f64 (*.f64 (/.f64 z (pow.f64 z 3)) (/.f64 z -3/2)) y)) z)
(fma.f64 1/3 (.f64 (/.f64 (.f64 y y) z) (/.f64 -3/2 (/.f64 z (pow.f64 z 3)))) z)
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z) (+.f64 (.f64 1/24 (.f64 (pow.f64 z 2) z)) (.f64 1/2 (.f64 (pow.f64 z 2) z)))) (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z))) 2) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3)) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 2))))) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z)))) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3)))
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(*.f64 (cos.f64 y) z)
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3))
(.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) z) 3/2)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3/2)))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(-.f64 (+.f64 1 (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1)
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 z (.f64 (cos.f64 y) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (cos.f64 y) (.f64 z (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (.f64 z (cos.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) 1)
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 1 (pow.f64 (.f64 z (cos.f64 y)) 3))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 3/2) (pow.f64 (*.f64 z (cos.f64 y)) 3/2))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 3) (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 3))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) z) (cos.f64 y))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (cos.f64 y)) z)
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) 1) (.f64 z (cos.f64 y)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2)) (cbrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (sqrt.f64 (.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 6))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(log.f64 (exp.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(exp.f64 (.f64 3 (log.f64 (.f64 z (cos.f64 y)))))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)

eval187.0ms (1%)

Compiler: Compiled 12075 to 6156 computations (49% saved)

prune95.0ms (0.5%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	486	12	498
Fresh	2	0	2
Picked	1	0	1
Done	2	2	4
Total	491	14	505

Error

0.0b

Counts

505 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y))))
	32.1b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
▶	0.1b	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z))
✓	11.4b	(+.f64 (+.f64 x (sin.f64 y)) z)
✓	26.3b	(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
	45.8b	(+.f64 z y)
▶	36.7b	(+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
	9.7b	(+.f64 x (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
▶	32.9b	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
	32.9b	(+.f64 x (cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))))
▶	20.5b	(+.f64 x z)
	35.2b	(*.f64 (cos.f64 y) z)
▶	53.3b	(sin.f64 y)
	46.5b	z

Compiler

Compiled 269 to 192 computations (28.6% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x (sin.f64 y))
✓	0.1b	(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
✓	0.3b	(pow.f64 (cos.f64 y) 3)
✓	0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 3))

Compiler

Compiled 43 to 21 computations (51.2% saved)

series28.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
4.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (cos.f64 y) 3))
4.0ms	y	@	inf	(cbrt.f64 (pow.f64 (cos.f64 y) 3))
3.0ms	y	@	inf	(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
3.0ms	z	@	-inf	(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)

Compiler

Compiled 781 to 608 computations (22.2% saved)

rewrite48.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

632×	`pow1_binary64`
590×	`add-log-exp_binary64`
590×	`log1p-expm1-u_binary64`
590×	`expm1-log1p-u_binary64`
575×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	166	15
2	1653	15

Stop Event

1×	node limit

Counts

3 → 50

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(pow.f64 (cos.f64 y) 3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3) (pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 y)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 3/2) (pow.f64 (cos.f64 y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 3) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 3) (pow.f64 (sqrt.f64 (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 1) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 y) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cos.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (cos.f64 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))))))

simplify49.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

597×	`distribute-rgt-in_binary64`
585×	`unswap-sqr_binary64`
570×	`distribute-lft-in_binary64`
452×	`log-prod_binary64`
397×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	137	899
1	308	598
2	1077	582
3	4161	579

Stop Event

1×	node limit

Counts

98 → 95

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
1
(+.f64 1 (*.f64 -3/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 7/8 (pow.f64 y 4)) (.f64 -3/2 (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 -61/240 (pow.f64 y 6)) (+.f64 (.f64 7/8 (pow.f64 y 4)) (*.f64 -3/2 (pow.f64 y 2)))))
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) z)) (.f64 -1/720 (.f64 z (pow.f64 y 6))))))
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(-.f64 (+.f64 1 (cos.f64 y)) 1)
(*.f64 (cos.f64 y) 1)
(*.f64 1 (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3) (pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3))
(pow.f64 (cos.f64 y) 1)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(log.f64 (exp.f64 (cos.f64 y)))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1)
(*.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (cos.f64 y) 3) 1)
(*.f64 1 (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(*.f64 (pow.f64 (cos.f64 y) 3/2) (pow.f64 (cos.f64 y) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 3) (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 3) (pow.f64 (sqrt.f64 (cos.f64 y)) 3))
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) 1) (cos.f64 y))
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (pow.f64 (cos.f64 y) 6))
(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 3)))
(exp.f64 (*.f64 3 (log.f64 (cos.f64 y))))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/2 (.f64 y y)))
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))) (fma.f64 -1/720 (pow.f64 y 6) 1))
(fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
1
(+.f64 1 (*.f64 -3/2 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -3/2))
(fma.f64 (*.f64 y y) -3/2 1)
(fma.f64 y (*.f64 y -3/2) 1)
(+.f64 1 (+.f64 (.f64 7/8 (pow.f64 y 4)) (.f64 -3/2 (pow.f64 y 2))))
(+.f64 1 (fma.f64 7/8 (pow.f64 y 4) (.f64 (.f64 y y) -3/2)))
(+.f64 1 (fma.f64 (pow.f64 y 4) 7/8 (.f64 y (.f64 y -3/2))))
(fma.f64 (pow.f64 y 4) 7/8 (fma.f64 y (*.f64 y -3/2) 1))
(fma.f64 y (*.f64 y -3/2) (fma.f64 (pow.f64 y 4) 7/8 1))
(+.f64 1 (+.f64 (.f64 -61/240 (pow.f64 y 6)) (+.f64 (.f64 7/8 (pow.f64 y 4)) (*.f64 -3/2 (pow.f64 y 2)))))
(+.f64 1 (fma.f64 -61/240 (pow.f64 y 6) (fma.f64 7/8 (pow.f64 y 4) (.f64 (.f64 y y) -3/2))))
(+.f64 1 (fma.f64 (pow.f64 y 6) -61/240 (fma.f64 (pow.f64 y 4) 7/8 (.f64 y (.f64 y -3/2)))))
(fma.f64 (pow.f64 y 6) -61/240 (fma.f64 (pow.f64 y 4) 7/8 (fma.f64 y (*.f64 y -3/2) 1)))
(fma.f64 (pow.f64 y 6) -61/240 (fma.f64 y (*.f64 y -3/2) (fma.f64 (pow.f64 y 4) 7/8 1)))
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 (.f64 y y) z) z)
(.f64 (fma.f64 -1/2 (.f64 y y) 1) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 y y) z) z) (.f64 1/24 (.f64 (pow.f64 y 4) z)))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 1/24 (*.f64 (pow.f64 y 4) z) z))
(.f64 z (fma.f64 -1/2 (.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) z)) (.f64 -1/720 (.f64 z (pow.f64 y 6))))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 y y) z) z) (fma.f64 1/24 (.f64 (pow.f64 y 4) z) (.f64 (*.f64 -1/720 z) (pow.f64 y 6))))
(+.f64 (.f64 (fma.f64 -1/2 (.f64 y y) 1) z) (fma.f64 1/24 (.f64 (pow.f64 y 4) z) (.f64 (pow.f64 y 6) (*.f64 -1/720 z))))
(fma.f64 (fma.f64 -1/2 (.f64 y y) 1) z (.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/720 (pow.f64 y 6)))))
(.f64 z (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1))))
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(-.f64 (+.f64 1 (cos.f64 y)) 1)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(*.f64 (cos.f64 y) 1)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(*.f64 1 (cos.f64 y))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3) (pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(pow.f64 (cos.f64 y) 1)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(log.f64 (exp.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(cos.f64 y)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(expm1.f64 (log1p.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(log1p.f64 (expm1.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(exp.f64 (log.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1)
(pow.f64 (cos.f64 y) 3)
(*.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) 1)
(pow.f64 (cos.f64 y) 3)
(*.f64 1 (pow.f64 (cos.f64 y) 3))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 3)
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 3/2) (pow.f64 (cos.f64 y) 3/2))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 3) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 3) (pow.f64 (sqrt.f64 (cos.f64 y)) 3))
(pow.f64 (cos.f64 y) 3)
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) 1) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) 3)
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) 3)
(sqrt.f64 (pow.f64 (cos.f64 y) 6))
(pow.f64 (cos.f64 y) 3)
(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 3)))
(pow.f64 (cos.f64 y) 3)
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 3) 3))
(pow.f64 (cos.f64 y) 3)
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 3)))
(pow.f64 (cos.f64 y) 3)
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 3)))
(pow.f64 (cos.f64 y) 3)
(exp.f64 (*.f64 3 (log.f64 (cos.f64 y))))
(pow.f64 (cos.f64 y) 3)
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)

localize3.0ms (0%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize5.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (cos.f64 y))
	0.1b	(pow.f64 (*.f64 z (cos.f64 y)) 3)
	41.1b	(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))

Compiler

Compiled 35 to 15 computations (57.1% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (*.f64 z (cos.f64 y)))
	0.1b	(*.f64 z (cos.f64 y))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)

Compiler

Compiled 34 to 12 computations (64.7% saved)

series4.3s (22.5%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
1.2s	z	@	-inf	(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
996.0ms	z	@	0	(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
876.0ms	z	@	inf	(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
407.0ms	z	@	inf	(sqrt.f64 (*.f64 z (cos.f64 y)))
403.0ms	z	@	0	(sqrt.f64 (*.f64 z (cos.f64 y)))

Compiler

Compiled 338501 to 226734 computations (33% saved)

rewrite43.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

613×	`pow1_binary64`
565×	`add-log-exp_binary64`
565×	`log1p-expm1-u_binary64`
565×	`expm1-log1p-u_binary64`
551×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	163	14
2	1592	14

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(sqrt.f64 (*.f64 z (cos.f64 y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) (sqrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 1/4)) (pow.f64 (*.f64 z (cos.f64 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 z)) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (cos.f64 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) (pow.f64 (*.f64 z (cos.f64 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (cos.f64 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))))))

simplify49.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

452×	`unswap-sqr_binary64`
381×	`fma-def_binary64`
336×	`fma-neg_binary64`
283×	`log-prod_binary64`
235×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	157	809
1	370	758
2	1223	686
3	5081	657

Stop Event

1×	node limit

Counts

74 → 88

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 z) 2)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (pow.f64 (sqrt.f64 z) 2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (pow.f64 (sqrt.f64 z) 2) (.f64 (-.f64 (+.f64 (.f64 1/24 z) (.f64 1/16 (/.f64 (pow.f64 z 2) (pow.f64 (sqrt.f64 z) 2)))) (pow.f64 (.f64 -1/4 (/.f64 z (sqrt.f64 z))) 2)) (pow.f64 y 4))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (pow.f64 (sqrt.f64 z) 2) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/24 z) (.f64 1/16 (/.f64 (pow.f64 z 2) (pow.f64 (sqrt.f64 z) 2)))) (pow.f64 (.f64 -1/4 (/.f64 z (sqrt.f64 z))) 2)) (pow.f64 y 4)) (.f64 -1/720 (.f64 z (pow.f64 y 6))))))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(sqrt.f64 z)
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 y 2) z) (sqrt.f64 z))) (sqrt.f64 z))
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (pow.f64 (.f64 -1/4 (/.f64 z (sqrt.f64 z))) 2)) (pow.f64 y 4)) (sqrt.f64 z))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 y 2) z) (sqrt.f64 z))) (sqrt.f64 z)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (pow.f64 (.f64 -1/4 (/.f64 z (sqrt.f64 z))) 2)) (pow.f64 y 4)) (sqrt.f64 z))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 y 2) z) (sqrt.f64 z))) (+.f64 (sqrt.f64 z) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -1/720 z) (.f64 -1/4 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (pow.f64 (*.f64 -1/4 (/.f64 z (sqrt.f64 z))) 2)) z) (pow.f64 (sqrt.f64 z) 2)))) (pow.f64 y 6)) (sqrt.f64 z))))))
(sqrt.f64 (*.f64 (cos.f64 y) z))
(sqrt.f64 (*.f64 (cos.f64 y) z))
(sqrt.f64 (*.f64 (cos.f64 y) z))
(sqrt.f64 (*.f64 (cos.f64 y) z))
(sqrt.f64 (*.f64 (cos.f64 y) z))
(sqrt.f64 (*.f64 (cos.f64 y) z))
(sqrt.f64 (*.f64 (cos.f64 y) z))
(sqrt.f64 (*.f64 (cos.f64 y) z))
(-.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(.f64 (.f64 z (cos.f64 y)) 1)
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(.f64 1 (.f64 z (cos.f64 y)))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/4) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/4) (sqrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(.f64 (.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (.f64 z (cos.f64 y)) 1/4)) (pow.f64 (*.f64 z (cos.f64 y)) 1/4))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 z)) (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) 1)
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 1)
(.f64 1 (sqrt.f64 (.f64 z (cos.f64 y))))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/4) (pow.f64 (*.f64 z (cos.f64 y)) 1/4))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 z))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 z (cos.f64 y))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1/2))
(pow.f64 (*.f64 z (cos.f64 y)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))

Outputs
(pow.f64 (sqrt.f64 z) 2)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (pow.f64 (sqrt.f64 z) 2))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (pow.f64 (sqrt.f64 z) 2))
(fma.f64 -1/2 (.f64 (.f64 z y) y) z)
(fma.f64 (.f64 y y) (.f64 z -1/2) z)
(fma.f64 z (.f64 -1/2 (.f64 y y)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (pow.f64 (sqrt.f64 z) 2) (.f64 (-.f64 (+.f64 (.f64 1/24 z) (.f64 1/16 (/.f64 (pow.f64 z 2) (pow.f64 (sqrt.f64 z) 2)))) (pow.f64 (.f64 -1/4 (/.f64 z (sqrt.f64 z))) 2)) (pow.f64 y 4))))
(+.f64 (fma.f64 -1/2 (.f64 z (.f64 y y)) (pow.f64 (sqrt.f64 z) 2)) (.f64 (-.f64 (fma.f64 1/24 z (.f64 1/16 (/.f64 (.f64 z z) (pow.f64 (sqrt.f64 z) 2)))) (pow.f64 (/.f64 (.f64 -1/4 z) (sqrt.f64 z)) 2)) (pow.f64 y 4)))
(fma.f64 -1/2 (.f64 (.f64 z y) y) (fma.f64 (-.f64 (fma.f64 z 1/24 (/.f64 1/16 (/.f64 z (.f64 z z)))) (/.f64 1/16 (/.f64 z (.f64 z z)))) (pow.f64 y 4) z))
(fma.f64 z (.f64 -1/2 (.f64 y y)) (fma.f64 (fma.f64 z 1/24 0) (pow.f64 y 4) z))
(fma.f64 z (.f64 -1/2 (.f64 y y)) (fma.f64 (*.f64 z 1/24) (pow.f64 y 4) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (pow.f64 (sqrt.f64 z) 2) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/24 z) (.f64 1/16 (/.f64 (pow.f64 z 2) (pow.f64 (sqrt.f64 z) 2)))) (pow.f64 (.f64 -1/4 (/.f64 z (sqrt.f64 z))) 2)) (pow.f64 y 4)) (.f64 -1/720 (.f64 z (pow.f64 y 6))))))
(+.f64 (fma.f64 -1/2 (.f64 z (.f64 y y)) (pow.f64 (sqrt.f64 z) 2)) (fma.f64 (-.f64 (fma.f64 1/24 z (.f64 1/16 (/.f64 (.f64 z z) (pow.f64 (sqrt.f64 z) 2)))) (pow.f64 (/.f64 (.f64 -1/4 z) (sqrt.f64 z)) 2)) (pow.f64 y 4) (.f64 (*.f64 z -1/720) (pow.f64 y 6))))
(+.f64 (fma.f64 (-.f64 (fma.f64 z 1/24 (/.f64 1/16 (/.f64 z (.f64 z z)))) (/.f64 1/16 (/.f64 z (.f64 z z)))) (pow.f64 y 4) (.f64 (pow.f64 y 6) (.f64 z -1/720))) (fma.f64 -1/2 (.f64 (.f64 z y) y) z))
(fma.f64 z (.f64 -1/2 (.f64 y y)) (fma.f64 (fma.f64 z 1/24 0) (pow.f64 y 4) (fma.f64 (pow.f64 y 6) (*.f64 z -1/720) z)))
(fma.f64 z (.f64 -1/2 (.f64 y y)) (fma.f64 z (.f64 -1/720 (pow.f64 y 6)) (fma.f64 (.f64 z 1/24) (pow.f64 y 4) z)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 z (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 z (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 z (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 z (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 z (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 z (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 z (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 z (cos.f64 y))
(sqrt.f64 z)
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 y 2) z) (sqrt.f64 z))) (sqrt.f64 z))
(fma.f64 -1/4 (/.f64 (*.f64 y y) (/.f64 (sqrt.f64 z) z)) (sqrt.f64 z))
(fma.f64 -1/4 (/.f64 z (/.f64 (sqrt.f64 z) (*.f64 y y))) (sqrt.f64 z))
(fma.f64 -1/4 (*.f64 z (/.f64 y (/.f64 (sqrt.f64 z) y))) (sqrt.f64 z))
(fma.f64 -1/4 (.f64 (sqrt.f64 z) (.f64 y y)) (sqrt.f64 z))
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (pow.f64 (.f64 -1/4 (/.f64 z (sqrt.f64 z))) 2)) (pow.f64 y 4)) (sqrt.f64 z))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 y 2) z) (sqrt.f64 z))) (sqrt.f64 z)))
(fma.f64 1/2 (/.f64 (-.f64 (.f64 z 1/24) (pow.f64 (/.f64 (.f64 -1/4 z) (sqrt.f64 z)) 2)) (/.f64 (sqrt.f64 z) (pow.f64 y 4))) (fma.f64 -1/4 (/.f64 (*.f64 y y) (/.f64 (sqrt.f64 z) z)) (sqrt.f64 z)))
(fma.f64 1/2 (/.f64 (pow.f64 y 4) (/.f64 (sqrt.f64 z) (-.f64 (.f64 z 1/24) (/.f64 1/16 (/.f64 z (.f64 z z)))))) (fma.f64 -1/4 (/.f64 z (/.f64 (sqrt.f64 z) (*.f64 y y))) (sqrt.f64 z)))
(fma.f64 1/2 (.f64 (pow.f64 y 4) (/.f64 (fma.f64 z 1/24 (.f64 z -1/16)) (sqrt.f64 z))) (fma.f64 -1/4 (*.f64 z (/.f64 y (/.f64 (sqrt.f64 z) y))) (sqrt.f64 z)))
(fma.f64 -1/4 (.f64 (sqrt.f64 z) (.f64 y y)) (fma.f64 1/2 (.f64 (pow.f64 y 4) (/.f64 (.f64 z -1/48) (sqrt.f64 z))) (sqrt.f64 z)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (pow.f64 (.f64 -1/4 (/.f64 z (sqrt.f64 z))) 2)) (pow.f64 y 4)) (sqrt.f64 z))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 y 2) z) (sqrt.f64 z))) (+.f64 (sqrt.f64 z) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -1/720 z) (.f64 -1/4 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (pow.f64 (*.f64 -1/4 (/.f64 z (sqrt.f64 z))) 2)) z) (pow.f64 (sqrt.f64 z) 2)))) (pow.f64 y 6)) (sqrt.f64 z))))))
(fma.f64 1/2 (/.f64 (-.f64 (.f64 z 1/24) (pow.f64 (/.f64 (.f64 -1/4 z) (sqrt.f64 z)) 2)) (/.f64 (sqrt.f64 z) (pow.f64 y 4))) (+.f64 (fma.f64 -1/4 (/.f64 (.f64 y y) (/.f64 (sqrt.f64 z) z)) (sqrt.f64 z)) (.f64 1/2 (/.f64 (+.f64 (.f64 z -1/720) (.f64 1/4 (/.f64 (-.f64 (.f64 z 1/24) (pow.f64 (/.f64 (.f64 -1/4 z) (sqrt.f64 z)) 2)) (/.f64 (pow.f64 (sqrt.f64 z) 2) z)))) (/.f64 (sqrt.f64 z) (pow.f64 y 6))))))
(fma.f64 1/2 (/.f64 (pow.f64 y 4) (/.f64 (sqrt.f64 z) (-.f64 (.f64 z 1/24) (/.f64 1/16 (/.f64 z (.f64 z z)))))) (fma.f64 -1/4 (/.f64 z (/.f64 (sqrt.f64 z) (.f64 y y))) (fma.f64 1/2 (/.f64 (fma.f64 z -1/720 (.f64 (.f64 (/.f64 (-.f64 (.f64 z 1/24) (/.f64 1/16 (/.f64 z (*.f64 z z)))) z) z) 1/4)) (/.f64 (sqrt.f64 z) (pow.f64 y 6))) (sqrt.f64 z))))
(fma.f64 1/2 (.f64 (pow.f64 y 4) (/.f64 (fma.f64 z 1/24 (.f64 z -1/16)) (sqrt.f64 z))) (fma.f64 -1/4 (.f64 z (/.f64 y (/.f64 (sqrt.f64 z) y))) (fma.f64 1/2 (.f64 (pow.f64 y 6) (/.f64 (fma.f64 z -1/720 (.f64 (+.f64 (/.f64 z 24) (.f64 z -1/16)) 1/4)) (sqrt.f64 z))) (sqrt.f64 z))))
(+.f64 (fma.f64 -1/4 (.f64 (sqrt.f64 z) (.f64 y y)) (sqrt.f64 z)) (.f64 (/.f64 1/2 (sqrt.f64 z)) (+.f64 (.f64 (pow.f64 y 4) (.f64 z -1/48)) (.f64 (pow.f64 y 6) (fma.f64 z -1/720 (.f64 (.f64 z -1/48) 1/4))))))
(sqrt.f64 (*.f64 (cos.f64 y) z))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) z))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) z))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) z))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) z))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) z))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) z))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) z))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(-.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1)
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(.f64 (.f64 z (cos.f64 y)) 1)
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(.f64 1 (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(*.f64 z (cos.f64 y))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y))))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/4) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/4) (sqrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (.f64 z (cos.f64 y)) 1/4)) (pow.f64 (*.f64 z (cos.f64 y)) 1/4))
(*.f64 z (cos.f64 y))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 z)) (sqrt.f64 (cos.f64 y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(*.f64 z (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(*.f64 z (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) 1)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 1)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(.f64 1 (sqrt.f64 (.f64 z (cos.f64 y))))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (*.f64 z (cos.f64 y))))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/4) (pow.f64 (*.f64 z (cos.f64 y)) 1/4))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 z (cos.f64 y))))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1/2))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 z (cos.f64 y)) 1/2)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 3)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) 2)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(fabs.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(sqrt.f64 (*.f64 z (cos.f64 y)))

eval124.0ms (0.7%)

Compiler: Compiled 7738 to 4288 computations (44.6% saved)

prune69.0ms (0.4%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	382	5	387
Fresh	3	4	7
Picked	1	0	1
Done	1	5	6
Total	387	14	401

Error

Counts

401 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (-.f64 (+.f64 1 (cos.f64 y)) 1) z))
▶	0.1b	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (log1p.f64 (expm1.f64 (cos.f64 y))) z))
✓	11.4b	(+.f64 (+.f64 x (sin.f64 y)) z)
✓	26.3b	(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
▶	45.8b	(+.f64 z y)
▶	9.7b	(+.f64 x (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
▶	9.7b	(+.f64 x (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y))))
	37.7b	(+.f64 x (.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	9.2b	(+.f64 x (*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z))
✓	32.9b	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
✓	20.5b	(+.f64 x z)
	35.2b	(*.f64 (cos.f64 y) z)
✓	53.3b	(sin.f64 y)
	46.5b	z

Compiler

Compiled 236 to 167 computations (29.2% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x (sin.f64 y))
✓	0.1b	(*.f64 (log1p.f64 (expm1.f64 (cos.f64 y))) z)
✓	0.2b	(log1p.f64 (expm1.f64 (cos.f64 y)))
✓	0.6b	(expm1.f64 (cos.f64 y))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series16.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(expm1.f64 (cos.f64 y))
2.0ms	y	@	0	(expm1.f64 (cos.f64 y))
1.0ms	y	@	0	(log1p.f64 (expm1.f64 (cos.f64 y)))
1.0ms	y	@	inf	(expm1.f64 (cos.f64 y))
1.0ms	z	@	0	(*.f64 (log1p.f64 (expm1.f64 (cos.f64 y))) z)

Compiler

Compiled 603 to 491 computations (18.6% saved)

rewrite45.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

543×	`pow1_binary64`
518×	`add-sqr-sqrt_binary64`
498×	`expm1-log1p-u_binary64`
497×	`add-log-exp_binary64`
497×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	119	14
2	1356	14

Stop Event

1×	node limit

Counts

3 → 45

Calls

Call 1

Inputs
(expm1.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(*.f64 (log1p.f64 (expm1.f64 (cos.f64 y))) z)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (cos.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 2) (cbrt.f64 (expm1.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) (sqrt.f64 (expm1.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1) (+.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) (+.f64 1 (*.f64 (exp.f64 (cos.f64 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) 1) (+.f64 (exp.f64 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (cos.f64 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 y)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))))))

simplify46.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

497×	`fma-def_binary64`
480×	`log-prod_binary64`
431×	`unswap-sqr_binary64`
419×	`times-frac_binary64`
259×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	137	628
1	325	614
2	1230	593
3	5145	591

Stop Event

1×	node limit

Counts

93 → 93

Calls

Call 1

Inputs
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (.f64 -1/2 (.f64 (E.f64) (pow.f64 y 2)))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 -1/2 (.f64 (E.f64) (pow.f64 y 2))) (.f64 1/6 (.f64 (E.f64) (pow.f64 y 4))))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 -1/2 (.f64 (E.f64) (pow.f64 y 2))) (+.f64 (.f64 -31/720 (.f64 (E.f64) (pow.f64 y 6))) (.f64 1/6 (.f64 (E.f64) (pow.f64 y 4)))))) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) z)) (.f64 -1/720 (.f64 z (pow.f64 y 6))))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(+.f64 (exp.f64 (cos.f64 y)) -1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(*.f64 (expm1.f64 (cos.f64 y)) 1)
(*.f64 1 (expm1.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 2) (cbrt.f64 (expm1.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) (sqrt.f64 (expm1.f64 (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1) (+.f64 (.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) (+.f64 1 (.f64 (exp.f64 (cos.f64 y)) 1))))
(/.f64 (-.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) 1) (+.f64 (exp.f64 (cos.f64 y)) 1))
(pow.f64 (expm1.f64 (cos.f64 y)) 1)
(pow.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 3)
(pow.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 2))
(log.f64 (exp.f64 (expm1.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3))
(log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y))))
(exp.f64 (log.f64 (expm1.f64 (cos.f64 y))))
(-.f64 (+.f64 1 (cos.f64 y)) 1)
(*.f64 (cos.f64 y) 1)
(*.f64 1 (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) 1)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(log.f64 (exp.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))

Outputs
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (E.f64) (.f64 -1/2 (.f64 (E.f64) (pow.f64 y 2)))) 1)
(+.f64 (E.f64) (-.f64 (.f64 (.f64 -1/2 (E.f64)) (*.f64 y y)) 1))
(+.f64 (.f64 (E.f64) (.f64 -1/2 (*.f64 y y))) (expm1.f64 1))
(fma.f64 (E.f64) (.f64 -1/2 (.f64 y y)) (expm1.f64 1))
(fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) (E.f64) -1)
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 -1/2 (.f64 (E.f64) (pow.f64 y 2))) (.f64 1/6 (.f64 (E.f64) (pow.f64 y 4))))) 1)
(+.f64 (E.f64) (-.f64 (fma.f64 -1/2 (.f64 (E.f64) (.f64 y y)) (.f64 1/6 (.f64 (E.f64) (pow.f64 y 4)))) 1))
(+.f64 (fma.f64 -1/2 (.f64 (E.f64) (.f64 y y)) (.f64 (.f64 1/6 (pow.f64 y 4)) (E.f64))) (expm1.f64 1))
(+.f64 (expm1.f64 1) (.f64 (E.f64) (+.f64 (.f64 -1/2 (.f64 y y)) (.f64 1/6 (pow.f64 y 4)))))
(+.f64 (E.f64) (fma.f64 (E.f64) (+.f64 (.f64 1/6 (pow.f64 y 4)) (.f64 -1/2 (*.f64 y y))) -1))
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 -1/2 (.f64 (E.f64) (pow.f64 y 2))) (+.f64 (.f64 -31/720 (.f64 (E.f64) (pow.f64 y 6))) (.f64 1/6 (.f64 (E.f64) (pow.f64 y 4)))))) 1)
(+.f64 (E.f64) (-.f64 (fma.f64 -1/2 (.f64 (E.f64) (.f64 y y)) (fma.f64 -31/720 (.f64 (E.f64) (pow.f64 y 6)) (.f64 1/6 (*.f64 (E.f64) (pow.f64 y 4))))) 1))
(+.f64 (fma.f64 -1/2 (.f64 (E.f64) (.f64 y y)) (fma.f64 1/6 (.f64 (E.f64) (pow.f64 y 4)) (.f64 (E.f64) (*.f64 (pow.f64 y 6) -31/720)))) (expm1.f64 1))
(+.f64 (expm1.f64 1) (fma.f64 (E.f64) (.f64 -1/2 (.f64 y y)) (.f64 (E.f64) (+.f64 (.f64 1/6 (pow.f64 y 4)) (*.f64 -31/720 (pow.f64 y 6))))))
(+.f64 (.f64 (fma.f64 -1/2 (.f64 y y) 1) (E.f64)) (fma.f64 (E.f64) (+.f64 (.f64 1/6 (pow.f64 y 4)) (.f64 -31/720 (pow.f64 y 6))) -1))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/2 (.f64 y y)))
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 (pow.f64 y 4) 1/24)))
(+.f64 1 (fma.f64 (pow.f64 y 4) 1/24 (.f64 -1/2 (.f64 y y))))
(fma.f64 (pow.f64 y 4) 1/24 (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 (pow.f64 y 4) 1/24))))
(+.f64 (fma.f64 (pow.f64 y 4) 1/24 (.f64 -1/2 (.f64 y y))) (fma.f64 (pow.f64 y 6) -1/720 1))
(fma.f64 (pow.f64 y 6) -1/720 (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 -1/2 (*.f64 y y) 1)))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 (.f64 y y) z) z)
(.f64 (fma.f64 -1/2 (.f64 y y) 1) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 y y) z) z) (.f64 1/24 (.f64 (pow.f64 y 4) z)))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 1/24 (*.f64 (pow.f64 y 4) z) z))
(.f64 z (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 -1/2 (.f64 y y) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) z)) (.f64 -1/720 (.f64 z (pow.f64 y 6))))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 y y) z) z) (fma.f64 1/24 (.f64 (pow.f64 y 4) z) (.f64 (*.f64 -1/720 z) (pow.f64 y 6))))
(+.f64 (.f64 (fma.f64 -1/2 (.f64 y y) 1) z) (fma.f64 1/24 (.f64 (pow.f64 y 4) z) (.f64 (pow.f64 y 6) (*.f64 -1/720 z))))
(fma.f64 (fma.f64 -1/2 (.f64 y y) 1) z (.f64 z (fma.f64 (pow.f64 y 4) 1/24 (*.f64 (pow.f64 y 6) -1/720))))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(+.f64 (exp.f64 (cos.f64 y)) -1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(*.f64 (expm1.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(*.f64 1 (expm1.f64 (cos.f64 y)))
(expm1.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 2))
(expm1.f64 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 2) (cbrt.f64 (expm1.f64 (cos.f64 y))))
(expm1.f64 (cos.f64 y))
(*.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) (sqrt.f64 (expm1.f64 (cos.f64 y))))
(expm1.f64 (cos.f64 y))
(/.f64 (-.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1) (+.f64 (.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) (+.f64 1 (.f64 (exp.f64 (cos.f64 y)) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) -1) (+.f64 (exp.f64 (+.f64 (cos.f64 y) (cos.f64 y))) (+.f64 1 (exp.f64 (cos.f64 y)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (cos.f64 y)) 3)) (+.f64 1 (+.f64 (exp.f64 (cos.f64 y)) (exp.f64 (*.f64 2 (cos.f64 y))))))
(/.f64 (expm1.f64 (*.f64 (cos.f64 y) 3)) (+.f64 1 (+.f64 (exp.f64 (cos.f64 y)) (pow.f64 (exp.f64 2) (cos.f64 y)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) 1) (+.f64 (exp.f64 (cos.f64 y)) 1))
(expm1.f64 (cos.f64 y))
(pow.f64 (expm1.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(pow.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3) 1/3)
(expm1.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 3)
(expm1.f64 (cos.f64 y))
(pow.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) 2)
(expm1.f64 (cos.f64 y))
(sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 2))
(expm1.f64 (cos.f64 y))
(log.f64 (exp.f64 (expm1.f64 (cos.f64 y))))
(expm1.f64 (cos.f64 y))
(cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3))
(expm1.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y))))
(expm1.f64 (cos.f64 y))
(exp.f64 (log.f64 (expm1.f64 (cos.f64 y))))
(expm1.f64 (cos.f64 y))
(-.f64 (+.f64 1 (cos.f64 y)) 1)
(cos.f64 y)
(*.f64 (cos.f64 y) 1)
(cos.f64 y)
(*.f64 1 (cos.f64 y))
(cos.f64 y)
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cos.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(cos.f64 y)
(pow.f64 (cos.f64 y) 1)
(cos.f64 y)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(cos.f64 y)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(cos.f64 y)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(cos.f64 y)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(cos.f64 y)
(log.f64 (exp.f64 (cos.f64 y)))
(cos.f64 y)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (log.f64 (cos.f64 y)))
(cos.f64 y)
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(*.f64 (cos.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(*.f64 (cos.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 (cos.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(*.f64 (cos.f64 y) z)
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(*.f64 (cos.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)

localize3.0ms (0%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x (sin.f64 y))
✓	0.1b	(*.f64 (-.f64 (+.f64 1 (cos.f64 y)) 1) z)
✓	0.3b	(-.f64 (+.f64 1 (cos.f64 y)) 1)
✓	0.4b	(+.f64 1 (cos.f64 y))

Compiler

Compiled 46 to 24 computations (47.8% saved)

series14.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(*.f64 (-.f64 (+.f64 1 (cos.f64 y)) 1) z)
1.0ms	y	@	0	(+.f64 1 (cos.f64 y))
1.0ms	y	@	0	(-.f64 (+.f64 1 (cos.f64 y)) 1)
1.0ms	y	@	inf	(+.f64 1 (cos.f64 y))
1.0ms	y	@	inf	(*.f64 (-.f64 (+.f64 1 (cos.f64 y)) 1) z)

Compiler

Compiled 561 to 460 computations (18% saved)

rewrite55.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

849×	`pow1_binary64`
790×	`add-log-exp_binary64`
790×	`log1p-expm1-u_binary64`
790×	`expm1-log1p-u_binary64`
776×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	173	15
2	2412	15

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

Inputs
(+.f64 1 (cos.f64 y))
(-.f64 (+.f64 1 (cos.f64 y)) 1)
(*.f64 (-.f64 (+.f64 1 (cos.f64 y)) 1) z)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 2)) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (/.f64 1 (-.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 2)) (cos.f64 y)) (+.f64 1 (pow.f64 (cos.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (cos.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 2)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (-.f64 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))) (neg.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 2)) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 y) (sin.f64 y))) (neg.f64 (-.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 y) 2) 1) (+.f64 (cos.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1) (-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 2)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 1) (-.f64 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (cos.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (cos.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 y) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (/.f64 1 (+.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) 1) (-.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 y) 2) (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (-.f64 1 (*.f64 (+.f64 1 (cos.f64 y)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (-.f64 (+.f64 1 (cos.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))) (neg.f64 (+.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1)) (+.f64 (cos.f64 y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1))) (-.f64 1 (+.f64 (cos.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (cos.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (cos.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (cos.f64 y))) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 (+.f64 (cos.f64 y) -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 z (+.f64 (cos.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (*.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (+.f64 1 (cos.f64 y))) (*.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) z) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) z) (+.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))) (+.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))))))

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

602×	`fma-neg_binary64`
598×	`associate-/l*_binary64`
486×	`unswap-sqr_binary64`
233×	`distribute-rgt-neg-in_binary64`
220×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	222	1230
1	538	1171
2	2537	1169

Stop Event

1×	node limit

Counts

133 → 147

Calls

Call 1

Inputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) z)) (.f64 -1/720 (.f64 z (pow.f64 y 6))))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(-.f64 (+.f64 (cos.f64 y) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))
(*.f64 1 (+.f64 1 (cos.f64 y)))
(*.f64 (+.f64 1 (cos.f64 y)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (cos.f64 y))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 1))
(*.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (cos.f64 y))))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) 1))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 2)) (cos.f64 y))))
(.f64 (.f64 (sin.f64 y) (sin.f64 y)) (/.f64 1 (-.f64 1 (cos.f64 y))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 2)) (cos.f64 y)) (+.f64 1 (pow.f64 (cos.f64 y) 3))))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 2)) (cos.f64 y)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (-.f64 1 (cos.f64 y)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))) (neg.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 2)) (cos.f64 y))))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (sin.f64 y))) (neg.f64 (-.f64 1 (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) 1) (+.f64 (cos.f64 y) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1) (-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 2)) (cos.f64 y)))
(/.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 y)) 1) (-.f64 1 (cos.f64 y)))
(pow.f64 (+.f64 1 (cos.f64 y)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) 2)
(pow.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2))
(log.f64 (exp.f64 (+.f64 1 (cos.f64 y))))
(cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3))
(expm1.f64 (log.f64 (+.f64 (cos.f64 y) 2)))
(log1p.f64 (expm1.f64 (+.f64 1 (cos.f64 y))))
(exp.f64 (log1p.f64 (cos.f64 y)))
(fma.f64 1 (cos.f64 y) 1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) 1)
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) 1)
(+.f64 1 (+.f64 (cos.f64 y) -1))
(+.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) 1))
(+.f64 (cos.f64 y) 0)
(+.f64 (+.f64 1 (cos.f64 y)) -1)
(+.f64 -1 (+.f64 1 (cos.f64 y)))
(+.f64 (+.f64 (cos.f64 y) -1) 1)
(*.f64 1 (cos.f64 y))
(*.f64 (cos.f64 y) 1)
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(.f64 (.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (/.f64 1 (+.f64 (cos.f64 y) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) 1) (-.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (cos.f64 y) 2) (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (-.f64 1 (*.f64 (+.f64 1 (cos.f64 y)) -1))))
(/.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (cos.f64 y) 2))
(/.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (-.f64 (+.f64 1 (cos.f64 y)) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))) (neg.f64 (+.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1)) (+.f64 (cos.f64 y) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1))) (-.f64 1 (+.f64 (cos.f64 y) -1)))
(pow.f64 (cos.f64 y) 1)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(log.f64 (exp.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(fma.f64 1 (+.f64 1 (cos.f64 y)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (cos.f64 y))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (cos.f64 y))) -1)
(+.f64 z (*.f64 (+.f64 (cos.f64 y) -1) z))
(+.f64 z (*.f64 z (+.f64 (cos.f64 y) -1)))
(+.f64 (.f64 (+.f64 1 (cos.f64 y)) z) (.f64 -1 z))
(+.f64 (.f64 z (+.f64 1 (cos.f64 y))) (.f64 z -1))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) z) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))
(/.f64 (.f64 (.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) z) (+.f64 (cos.f64 y) 2))
(/.f64 (*.f64 z (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))
(/.f64 (.f64 z (.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))) (+.f64 (cos.f64 y) 2))
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))

Outputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 2 (.f64 -1/2 (.f64 y y)))
(fma.f64 -1/2 (*.f64 y y) 2)
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 2 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))))
(+.f64 2 (fma.f64 1/24 (pow.f64 y 4) (.f64 (.f64 -1/2 y) y)))
(+.f64 (fma.f64 -1/2 (.f64 y y) 2) (.f64 1/24 (pow.f64 y 4)))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 2 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4)))))
(+.f64 (fma.f64 1/24 (pow.f64 y 4) (.f64 (.f64 -1/2 y) y)) (fma.f64 -1/720 (pow.f64 y 6) 2))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 (fma.f64 -1/2 (.f64 y y) 2) (.f64 1/24 (pow.f64 y 4))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 (.f64 -1/2 (.f64 y y)) 1)
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))) 1)
(+.f64 (.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (.f64 y y) 1))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))) 1))
(+.f64 (fma.f64 1/24 (pow.f64 y 4) (.f64 (.f64 -1/2 y) y)) (fma.f64 -1/720 (pow.f64 y 6) 1))
(+.f64 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))) (fma.f64 -1/720 (pow.f64 y 6) 1))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 (.f64 y y) z) z)
(fma.f64 -1/2 (.f64 y (.f64 y z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 y y) z) z) (.f64 1/24 (.f64 (pow.f64 y 4) z)))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 1/24 (*.f64 (pow.f64 y 4) z) z))
(.f64 z (+.f64 (.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 y y) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) z)) (.f64 -1/720 (.f64 z (pow.f64 y 6))))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 y y) z) z) (fma.f64 1/24 (.f64 (pow.f64 y 4) z) (.f64 -1/720 (*.f64 (pow.f64 y 6) z))))
(+.f64 (fma.f64 -1/2 (.f64 y (.f64 y z)) z) (fma.f64 -1/720 (.f64 (pow.f64 y 6) z) (.f64 (pow.f64 y 4) (*.f64 1/24 z))))
(+.f64 (fma.f64 -1/2 (.f64 y (.f64 y z)) z) (.f64 z (+.f64 (.f64 1/24 (pow.f64 y 4)) (*.f64 -1/720 (pow.f64 y 6)))))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(-.f64 (+.f64 (cos.f64 y) 2) 1)
(+.f64 1 (cos.f64 y))
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))
(*.f64 1 (+.f64 1 (cos.f64 y)))
(+.f64 1 (cos.f64 y))
(*.f64 (+.f64 1 (cos.f64 y)) 1)
(+.f64 1 (cos.f64 y))
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2))
(+.f64 1 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (cos.f64 y))))
(+.f64 1 (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 1))
(+.f64 1 (cos.f64 y))
(*.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (cos.f64 y))))
(+.f64 1 (cos.f64 y))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) 1))
(+.f64 1 (cos.f64 y))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 2)) (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -1))))
(/.f64 (-.f64 -1 (pow.f64 (cos.f64 y) 3)) (-.f64 (+.f64 (cos.f64 y) -1) (pow.f64 (cos.f64 y) 2)))
(.f64 (.f64 (sin.f64 y) (sin.f64 y)) (/.f64 1 (-.f64 1 (cos.f64 y))))
(/.f64 (sin.f64 y) (/.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)))
(/.f64 (sin.f64 y) (tan.f64 (/.f64 y 2)))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 2)) (cos.f64 y)) (+.f64 1 (pow.f64 (cos.f64 y) 3))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -1))))
(/.f64 (-.f64 -1 (pow.f64 (cos.f64 y) 3)) (-.f64 (+.f64 (cos.f64 y) -1) (pow.f64 (cos.f64 y) 2)))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))))
(/.f64 (sin.f64 y) (/.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)))
(/.f64 (sin.f64 y) (tan.f64 (/.f64 y 2)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 2)) (cos.f64 y)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -1))))
(/.f64 (-.f64 -1 (pow.f64 (cos.f64 y) 3)) (-.f64 (+.f64 (cos.f64 y) -1) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -1))))
(/.f64 (-.f64 -1 (pow.f64 (cos.f64 y) 3)) (-.f64 (+.f64 (cos.f64 y) -1) (pow.f64 (cos.f64 y) 2)))
(/.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (-.f64 1 (cos.f64 y)))
(/.f64 (sin.f64 y) (/.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)))
(/.f64 (sin.f64 y) (tan.f64 (/.f64 y 2)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))) (neg.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 2)) (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -1))))
(/.f64 (-.f64 -1 (pow.f64 (cos.f64 y) 3)) (-.f64 (+.f64 (cos.f64 y) -1) (pow.f64 (cos.f64 y) 2)))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (sin.f64 y))) (neg.f64 (-.f64 1 (cos.f64 y))))
(/.f64 (sin.f64 y) (/.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)))
(/.f64 (sin.f64 y) (tan.f64 (/.f64 y 2)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) 1) (+.f64 (cos.f64 y) -1))
(/.f64 (sin.f64 y) (/.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)))
(/.f64 (sin.f64 y) (tan.f64 (/.f64 y 2)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1) (-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 2)) (cos.f64 y)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -1))))
(/.f64 (-.f64 -1 (pow.f64 (cos.f64 y) 3)) (-.f64 (+.f64 (cos.f64 y) -1) (pow.f64 (cos.f64 y) 2)))
(/.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 y)) 1) (-.f64 1 (cos.f64 y)))
(/.f64 (sin.f64 y) (/.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)))
(/.f64 (sin.f64 y) (tan.f64 (/.f64 y 2)))
(pow.f64 (+.f64 1 (cos.f64 y)) 1)
(+.f64 1 (cos.f64 y))
(pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 3)
(+.f64 1 (cos.f64 y))
(pow.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) 2)
(+.f64 1 (cos.f64 y))
(pow.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) 1/3)
(+.f64 1 (cos.f64 y))
(sqrt.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2))
(+.f64 1 (cos.f64 y))
(log.f64 (exp.f64 (+.f64 1 (cos.f64 y))))
(+.f64 1 (cos.f64 y))
(cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3))
(+.f64 1 (cos.f64 y))
(expm1.f64 (log.f64 (+.f64 (cos.f64 y) 2)))
(expm1.f64 (log.f64 (+.f64 2 (cos.f64 y))))
(expm1.f64 (log1p.f64 (+.f64 1 (cos.f64 y))))
(log1p.f64 (expm1.f64 (+.f64 1 (cos.f64 y))))
(+.f64 1 (cos.f64 y))
(exp.f64 (log1p.f64 (cos.f64 y)))
(fma.f64 1 (cos.f64 y) 1)
(+.f64 1 (cos.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) 1)
(+.f64 1 (cos.f64 y))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) 1)
(+.f64 1 (cos.f64 y))
(+.f64 1 (+.f64 (cos.f64 y) -1))
(cos.f64 y)
(+.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) 1))
(cos.f64 y)
(+.f64 (cos.f64 y) 0)
(cos.f64 y)
(+.f64 (+.f64 1 (cos.f64 y)) -1)
(cos.f64 y)
(+.f64 -1 (+.f64 1 (cos.f64 y)))
(cos.f64 y)
(+.f64 (+.f64 (cos.f64 y) -1) 1)
(cos.f64 y)
(*.f64 1 (cos.f64 y))
(cos.f64 y)
(*.f64 (cos.f64 y) 1)
(cos.f64 y)
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cos.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (/.f64 1 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (-.f64 (-.f64 -2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))
(.f64 (.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (/.f64 1 (+.f64 (cos.f64 y) 2)))
(cos.f64 y)
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) 1) (-.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) 1))
(cos.f64 y)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (/.f64 1 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (-.f64 (-.f64 -2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))
(/.f64 1 (/.f64 (+.f64 (cos.f64 y) 2) (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))))
(cos.f64 y)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (/.f64 1 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (-.f64 (-.f64 -2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (-.f64 1 (*.f64 (+.f64 1 (cos.f64 y)) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (/.f64 1 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (-.f64 (-.f64 -2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))
(/.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (cos.f64 y) 2))
(cos.f64 y)
(/.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (-.f64 (+.f64 1 (cos.f64 y)) -1))
(cos.f64 y)
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (/.f64 1 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (-.f64 (-.f64 -2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))) (neg.f64 (+.f64 (cos.f64 y) 2)))
(cos.f64 y)
(/.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1)) (+.f64 (cos.f64 y) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (+.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (-.f64 (+.f64 (cos.f64 y) -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (+.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 -1 (+.f64 (cos.f64 y) -1)))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1))) (-.f64 1 (+.f64 (cos.f64 y) -1)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1))) (-.f64 2 (cos.f64 y)))
(pow.f64 (cos.f64 y) 1)
(cos.f64 y)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(cos.f64 y)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(cos.f64 y)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(cos.f64 y)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(cos.f64 y)
(log.f64 (exp.f64 (cos.f64 y)))
(cos.f64 y)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(cos.f64 y)
(log1p.f64 (expm1.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (log.f64 (cos.f64 y)))
(cos.f64 y)
(fma.f64 1 (+.f64 1 (cos.f64 y)) -1)
(cos.f64 y)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (cos.f64 y))) -1)
(cos.f64 y)
(fma.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (cos.f64 y))) -1)
(cos.f64 y)
(+.f64 z (*.f64 (+.f64 (cos.f64 y) -1) z))
(*.f64 (cos.f64 y) z)
(+.f64 z (*.f64 z (+.f64 (cos.f64 y) -1)))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (+.f64 1 (cos.f64 y)) z) (.f64 -1 z))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 z (+.f64 1 (cos.f64 y))) (.f64 z -1))
(*.f64 (cos.f64 y) z)
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(*.f64 (cos.f64 y) z)
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) z) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (/.f64 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) z))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) z)
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (-.f64 (-.f64 -2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) z)
(/.f64 (.f64 (.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) z) (+.f64 (cos.f64 y) 2))
(*.f64 (cos.f64 y) z)
(/.f64 (*.f64 z (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (/.f64 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) z))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) z)
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (-.f64 (-.f64 -2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) z)
(/.f64 (.f64 z (.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))) (+.f64 (cos.f64 y) 2))
(*.f64 (cos.f64 y) z)
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(*.f64 (cos.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(*.f64 (cos.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 (cos.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(*.f64 (cos.f64 y) z)
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)))
(*.f64 (cos.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (cos.f64 y))
	0.6b	(cbrt.f64 (*.f64 z (cos.f64 y)))
	0.8b	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)

Compiler

Compiled 34 to 12 computations (64.7% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cbrt.f64 z) (cos.f64 y))
✓	0.3b	(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
✓	0.5b	(pow.f64 (cbrt.f64 z) 2)
✓	0.6b	(cbrt.f64 z)

Compiler

Compiled 42 to 16 computations (61.9% saved)

series6.3s (32.9%)

Counts

4 → 24

Calls

18 calls:

Time	Variable		Point	Expression
1.3s	z	@	-inf	(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
892.0ms	z	@	0	(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
859.0ms	z	@	inf	(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
634.0ms	z	@	-inf	(pow.f64 (cbrt.f64 z) 2)
468.0ms	z	@	inf	(pow.f64 (cbrt.f64 z) 2)

Compiler

Compiled 571705 to 447184 computations (21.8% saved)

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

769×	`pow1_binary64`
708×	`add-log-exp_binary64`
708×	`log1p-expm1-u_binary64`
708×	`expm1-log1p-u_binary64`
691×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	181	23
2	2013	23

Stop Event

1×	node limit

Counts

4 → 63

Calls

Call 1

Inputs
(cbrt.f64 z)
(pow.f64 (cbrt.f64 z) 2)
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
(*.f64 (cbrt.f64 z) (cos.f64 y))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 z 1/6) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (.f64 z (cbrt.f64 z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 z) 1/3) (pow.f64 (sqrt.f64 z) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 z 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 z)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 z) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 z) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 z) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (.f64 z (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 z (cbrt.f64 z))) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 z) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 z 1/6) (.f64 (pow.f64 z 1/6) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 z (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 z))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 z z) (pow.f64 (.f64 (cbrt.f64 z) (cos.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 z) (cos.f64 y)) 3) (.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (cbrt.f64 z) (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 z) (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cbrt.f64 z) (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cbrt.f64 z) (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (cbrt.f64 z) (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (cbrt.f64 z) (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cbrt.f64 z)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (cbrt.f64 z) (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 z (pow.f64 (cos.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 3) z))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cbrt.f64 z) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (cbrt.f64 z) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cbrt.f64 z) (cos.f64 y))))))))

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

845×	`fma-def_binary64`
598×	`log-prod_binary64`
358×	`distribute-lft-out_binary64`
267×	`sqr-pow_binary64`
255×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	896
1	394	690
2	1754	632
3	4980	630

Stop Event

1×	node limit

Counts

87 → 105

Calls

Call 1

Inputs
(*.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3)))) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3)))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3)))) (*.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3)))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3)))) (+.f64 (.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3)) (.f64 -1/720 (.f64 (pow.f64 z 1/3) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 y 6)))))))
(.f64 (pow.f64 z 1/3) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (cos.f64 y)))
(.f64 (pow.f64 z 1/3) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (cos.f64 y)))
(.f64 (pow.f64 z 1/3) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (cos.f64 y)))
(.f64 (pow.f64 z 1/3) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (cos.f64 y)))
(.f64 (pow.f64 z 1/3) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (cos.f64 y)))
(.f64 (pow.f64 z 1/3) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (cos.f64 y)))
(.f64 (pow.f64 z 1/3) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (cos.f64 y)))
(.f64 (pow.f64 z 1/3) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (cos.f64 y)))
(pow.f64 z 1/3)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 z 1/3))) (pow.f64 z 1/3))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 z 1/3))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (pow.f64 z 1/3))) (pow.f64 z 1/3)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 z 1/3) (pow.f64 y 6))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 z 1/3))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (pow.f64 z 1/3))) (pow.f64 z 1/3))))
(*.f64 (pow.f64 z 1/3) (cos.f64 y))
(*.f64 (pow.f64 z 1/3) (cos.f64 y))
(*.f64 (pow.f64 z 1/3) (cos.f64 y))
(*.f64 (pow.f64 z 1/3) (cos.f64 y))
(*.f64 (pow.f64 z 1/3) (cos.f64 y))
(*.f64 (pow.f64 z 1/3) (cos.f64 y))
(*.f64 (pow.f64 z 1/3) (cos.f64 y))
(*.f64 (pow.f64 z 1/3) (cos.f64 y))
(-.f64 (+.f64 1 (cbrt.f64 z)) 1)
(*.f64 (cbrt.f64 z) 1)
(*.f64 1 (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (cbrt.f64 z)))
(*.f64 (cbrt.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))
(*.f64 (pow.f64 z 1/6) (pow.f64 z 1/6))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 z (cbrt.f64 z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 z))
(*.f64 (pow.f64 (sqrt.f64 z) 1/3) (pow.f64 (sqrt.f64 z) 1/3))
(pow.f64 z 1/3)
(pow.f64 (cbrt.f64 z) 1)
(pow.f64 (pow.f64 (cbrt.f64 z) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)
(pow.f64 (pow.f64 z 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 z) 2))
(fabs.f64 (cbrt.f64 z))
(log.f64 (exp.f64 (cbrt.f64 z)))
(expm1.f64 (log1p.f64 (cbrt.f64 z)))
(log1p.f64 (expm1.f64 (cbrt.f64 z)))
(exp.f64 (log.f64 (cbrt.f64 z)))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 z) 2)) 1)
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 z) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (.f64 z (cbrt.f64 z))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 z)))
(.f64 (cbrt.f64 (.f64 z (cbrt.f64 z))) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))
(*.f64 (sqrt.f64 z) (pow.f64 z 1/6))
(.f64 (pow.f64 z 1/6) (.f64 (pow.f64 z 1/6) (cbrt.f64 z)))
(.f64 (.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) (cbrt.f64 (cbrt.f64 z)))
(sqrt.f64 (*.f64 z (cbrt.f64 z)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))
(cbrt.f64 (*.f64 z z))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 z) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 z))))
(-.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1)
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)))
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (*.f64 (cbrt.f64 z) (cos.f64 y)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 z) (cos.f64 y)) 3) (*.f64 z z)))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(-.f64 (+.f64 1 (*.f64 (cbrt.f64 z) (cos.f64 y))) 1)
(pow.f64 (*.f64 (cbrt.f64 z) (cos.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 z) (cos.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 z) (cos.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 z) (cos.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 z) (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (cbrt.f64 z)) (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 z) (cos.f64 y)) 3))
(cbrt.f64 (*.f64 z (pow.f64 (cos.f64 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) z))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 z) (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 z) (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 z) (cos.f64 y))))

Outputs
(*.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3))
(pow.f64 (cbrt.f64 z) 3)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3)))) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3)))
(fma.f64 -1/2 (.f64 (pow.f64 (cbrt.f64 z) 3) (.f64 y y)) (pow.f64 (cbrt.f64 z) 3))
(fma.f64 -1/2 (.f64 z (.f64 y y)) z)
(.f64 z (fma.f64 -1/2 (.f64 y y) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3)))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3)))) (*.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3))))
(fma.f64 -1/2 (.f64 (pow.f64 (cbrt.f64 z) 3) (.f64 y y)) (fma.f64 1/24 (*.f64 (pow.f64 (cbrt.f64 z) 3) (pow.f64 y 4)) (pow.f64 (cbrt.f64 z) 3)))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(fma.f64 z (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3)))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3)))) (+.f64 (.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3)) (.f64 -1/720 (.f64 (pow.f64 z 1/3) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 y 6)))))))
(fma.f64 -1/2 (.f64 (pow.f64 (cbrt.f64 z) 3) (.f64 y y)) (+.f64 (fma.f64 1/24 (.f64 (pow.f64 (cbrt.f64 z) 3) (pow.f64 y 4)) (pow.f64 (cbrt.f64 z) 3)) (.f64 -1/720 (*.f64 (pow.f64 (cbrt.f64 z) 3) (pow.f64 y 6)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 1/24 (.f64 z (pow.f64 y 4)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) z)))
(fma.f64 z (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))) (fma.f64 z (*.f64 (pow.f64 y 6) -1/720) z))
(fma.f64 z (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) z))
(.f64 (pow.f64 z 1/3) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 z) 3) (cos.f64 y))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 z 1/3) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 z) 3) (cos.f64 y))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 z 1/3) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 z) 3) (cos.f64 y))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 z 1/3) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 z) 3) (cos.f64 y))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 z 1/3) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 z) 3) (cos.f64 y))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 z 1/3) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 z) 3) (cos.f64 y))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 z 1/3) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 z) 3) (cos.f64 y))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 z 1/3) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 z) 3) (cos.f64 y))
(*.f64 z (cos.f64 y))
(pow.f64 z 1/3)
(cbrt.f64 z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 z 1/3))) (pow.f64 z 1/3))
(fma.f64 -1/2 (.f64 (.f64 y y) (cbrt.f64 z)) (cbrt.f64 z))
(.f64 (cbrt.f64 z) (+.f64 (.f64 -1/2 (*.f64 y y)) 1))
(.f64 (cbrt.f64 z) (fma.f64 -1/2 (.f64 y y) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 z 1/3))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (pow.f64 z 1/3))) (pow.f64 z 1/3)))
(fma.f64 -1/2 (.f64 (.f64 y y) (cbrt.f64 z)) (fma.f64 1/24 (*.f64 (pow.f64 y 4) (cbrt.f64 z)) (cbrt.f64 z)))
(+.f64 (cbrt.f64 z) (.f64 (cbrt.f64 z) (+.f64 (.f64 -1/2 (.f64 y y)) (.f64 1/24 (pow.f64 y 4)))))
(.f64 (cbrt.f64 z) (+.f64 (fma.f64 -1/2 (.f64 y y) 1) (*.f64 1/24 (pow.f64 y 4))))
(.f64 (cbrt.f64 z) (+.f64 (.f64 -1/2 (*.f64 y y)) (fma.f64 1/24 (pow.f64 y 4) 1)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 z 1/3) (pow.f64 y 6))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 z 1/3))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (pow.f64 z 1/3))) (pow.f64 z 1/3))))
(fma.f64 -1/720 (.f64 (pow.f64 y 6) (cbrt.f64 z)) (fma.f64 -1/2 (.f64 (.f64 y y) (cbrt.f64 z)) (fma.f64 1/24 (.f64 (pow.f64 y 4) (cbrt.f64 z)) (cbrt.f64 z))))
(fma.f64 -1/720 (.f64 (pow.f64 y 6) (cbrt.f64 z)) (+.f64 (cbrt.f64 z) (.f64 (cbrt.f64 z) (+.f64 (.f64 -1/2 (.f64 y y)) (*.f64 1/24 (pow.f64 y 4))))))
(+.f64 (cbrt.f64 z) (.f64 (cbrt.f64 z) (+.f64 (.f64 (pow.f64 y 6) -1/720) (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))))))
(.f64 (cbrt.f64 z) (+.f64 (.f64 -1/2 (.f64 y y)) (+.f64 (.f64 -1/720 (pow.f64 y 6)) (fma.f64 1/24 (pow.f64 y 4) 1))))
(*.f64 (pow.f64 z 1/3) (cos.f64 y))
(*.f64 (cos.f64 y) (cbrt.f64 z))
(*.f64 (pow.f64 z 1/3) (cos.f64 y))
(*.f64 (cos.f64 y) (cbrt.f64 z))
(*.f64 (pow.f64 z 1/3) (cos.f64 y))
(*.f64 (cos.f64 y) (cbrt.f64 z))
(*.f64 (pow.f64 z 1/3) (cos.f64 y))
(*.f64 (cos.f64 y) (cbrt.f64 z))
(*.f64 (pow.f64 z 1/3) (cos.f64 y))
(*.f64 (cos.f64 y) (cbrt.f64 z))
(*.f64 (pow.f64 z 1/3) (cos.f64 y))
(*.f64 (cos.f64 y) (cbrt.f64 z))
(*.f64 (pow.f64 z 1/3) (cos.f64 y))
(*.f64 (cos.f64 y) (cbrt.f64 z))
(*.f64 (pow.f64 z 1/3) (cos.f64 y))
(*.f64 (cos.f64 y) (cbrt.f64 z))
(-.f64 (+.f64 1 (cbrt.f64 z)) 1)
(cbrt.f64 z)
(*.f64 (cbrt.f64 z) 1)
(cbrt.f64 z)
(*.f64 1 (cbrt.f64 z))
(cbrt.f64 z)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (cbrt.f64 z)))
(cbrt.f64 z)
(*.f64 (cbrt.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))
(cbrt.f64 z)
(*.f64 (pow.f64 z 1/6) (pow.f64 z 1/6))
(cbrt.f64 z)
(.f64 (sqrt.f64 (cbrt.f64 (.f64 z (cbrt.f64 z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 z (cbrt.f64 z)))) (fabs.f64 (cbrt.f64 (cbrt.f64 z))))
(.f64 (cbrt.f64 (cbrt.f64 z)) (sqrt.f64 (cbrt.f64 (.f64 z (cbrt.f64 z)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 z))
(cbrt.f64 z)
(*.f64 (pow.f64 (sqrt.f64 z) 1/3) (pow.f64 (sqrt.f64 z) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(pow.f64 z 1/3)
(cbrt.f64 z)
(pow.f64 (cbrt.f64 z) 1)
(cbrt.f64 z)
(pow.f64 (pow.f64 (cbrt.f64 z) 2) 1/2)
(cbrt.f64 z)
(pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)
(cbrt.f64 z)
(pow.f64 (pow.f64 z 1/6) 2)
(cbrt.f64 z)
(sqrt.f64 (pow.f64 (cbrt.f64 z) 2))
(cbrt.f64 z)
(fabs.f64 (cbrt.f64 z))
(cbrt.f64 z)
(log.f64 (exp.f64 (cbrt.f64 z)))
(cbrt.f64 z)
(expm1.f64 (log1p.f64 (cbrt.f64 z)))
(cbrt.f64 z)
(log1p.f64 (expm1.f64 (cbrt.f64 z)))
(cbrt.f64 z)
(exp.f64 (log.f64 (cbrt.f64 z)))
(cbrt.f64 z)
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 z) 2)) 1)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(*.f64 (pow.f64 (cbrt.f64 z) 2) 1)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(*.f64 1 (pow.f64 (cbrt.f64 z) 2))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (.f64 z (cbrt.f64 z))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 z)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(.f64 (cbrt.f64 (.f64 z (cbrt.f64 z))) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (.f64 z (cbrt.f64 z))))
(*.f64 (sqrt.f64 z) (pow.f64 z 1/6))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(.f64 (pow.f64 z 1/6) (.f64 (pow.f64 z 1/6) (cbrt.f64 z)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(.f64 (.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) (cbrt.f64 (cbrt.f64 z)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(sqrt.f64 (*.f64 z (cbrt.f64 z)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(cbrt.f64 (*.f64 z z))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 z) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 z))))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 z) 2) 0)
(pow.f64 (cbrt.f64 z) 2)
(-.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1)
(*.f64 (pow.f64 (cbrt.f64 z) 3) (cos.f64 y))
(*.f64 z (cos.f64 y))
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(*.f64 (pow.f64 (cbrt.f64 z) 3) (cos.f64 y))
(*.f64 z (cos.f64 y))
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(*.f64 (pow.f64 (cbrt.f64 z) 3) (cos.f64 y))
(*.f64 z (cos.f64 y))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 (pow.f64 (cbrt.f64 z) 3) (cos.f64 y))
(*.f64 z (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(*.f64 (pow.f64 (cbrt.f64 z) 3) (cos.f64 y))
(*.f64 z (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 z) 3) (cos.f64 y))
(*.f64 z (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 z) 3) (cos.f64 y))
(*.f64 z (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(*.f64 (pow.f64 (cbrt.f64 z) 3) (cos.f64 y))
(*.f64 z (cos.f64 y))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)))
(*.f64 (pow.f64 (cbrt.f64 z) 3) (cos.f64 y))
(*.f64 z (cos.f64 y))
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (*.f64 (cbrt.f64 z) (cos.f64 y)) 3)))
(*.f64 (pow.f64 (cbrt.f64 z) 3) (cos.f64 y))
(*.f64 z (cos.f64 y))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 z) (cos.f64 y)) 3) (*.f64 z z)))
(*.f64 (pow.f64 (cbrt.f64 z) 3) (cos.f64 y))
(*.f64 z (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 z) 3) (cos.f64 y))
(*.f64 z (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 z) 3) (cos.f64 y))
(*.f64 z (cos.f64 y))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 z) 3) (cos.f64 y))
(*.f64 z (cos.f64 y))
(-.f64 (+.f64 1 (*.f64 (cbrt.f64 z) (cos.f64 y))) 1)
(*.f64 (cos.f64 y) (cbrt.f64 z))
(pow.f64 (*.f64 (cbrt.f64 z) (cos.f64 y)) 1)
(*.f64 (cos.f64 y) (cbrt.f64 z))
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 z) (cos.f64 y)) 3) 1/3)
(*.f64 (cos.f64 y) (cbrt.f64 z))
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 z) (cos.f64 y))) 3)
(*.f64 (cos.f64 y) (cbrt.f64 z))
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 z) (cos.f64 y))) 2)
(*.f64 (cos.f64 y) (cbrt.f64 z))
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 z) (cos.f64 y)) 2))
(*.f64 (cos.f64 y) (cbrt.f64 z))
(log.f64 (pow.f64 (exp.f64 (cbrt.f64 z)) (cos.f64 y)))
(*.f64 (cos.f64 y) (cbrt.f64 z))
(cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 z) (cos.f64 y)) 3))
(*.f64 (cos.f64 y) (cbrt.f64 z))
(cbrt.f64 (*.f64 z (pow.f64 (cos.f64 y) 3)))
(*.f64 (cos.f64 y) (cbrt.f64 z))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) z))
(*.f64 (cos.f64 y) (cbrt.f64 z))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 z) (cos.f64 y))))
(*.f64 (cos.f64 y) (cbrt.f64 z))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 z) (cos.f64 y))))
(*.f64 (cos.f64 y) (cbrt.f64 z))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 z) (cos.f64 y))))
(*.f64 (cos.f64 y) (cbrt.f64 z))

eval191.0ms (1%)

Compiler: Compiled 12440 to 6384 computations (48.7% saved)

prune127.0ms (0.7%)

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	575	5	580
Fresh	0	4	4
Picked	1	0	1
Done	3	6	9
Total	579	15	594

Error

Counts

594 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	0.1b	(+.f64 (+.f64 x (sin.f64 y)) (+.f64 (.f64 (+.f64 1 (cos.f64 y)) z) (.f64 -1 z)))
	0.1b	(+.f64 (+.f64 x (sin.f64 y)) (+.f64 z (*.f64 (+.f64 (cos.f64 y) -1) z)))
	0.1b	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (+.f64 (+.f64 (cos.f64 y) -1) 1) z))
✓	11.4b	(+.f64 (+.f64 x (sin.f64 y)) z)
✓	26.3b	(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
✓	45.8b	(+.f64 z y)
✓	9.7b	(+.f64 x (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
	9.7b	(+.f64 x (*.f64 (pow.f64 (cbrt.f64 z) 3) (cos.f64 y)))
	9.3b	(+.f64 x (*.f64 (-.f64 (+.f64 1 (cos.f64 y)) 1) z))
	37.7b	(+.f64 x (.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	9.2b	(+.f64 x (*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z))
✓	20.5b	(+.f64 x z)
	35.2b	(*.f64 (cos.f64 y) z)
✓	53.3b	(sin.f64 y)
	46.5b	z

Compiler

Compiled 159 to 114 computations (28.3% saved)

regimes74.0ms (0.4%)

Counts

30 → 1

Calls

Call 1

Inputs
z
(+.f64 x z)
(+.f64 z y)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 x (*.f64 z (cos.f64 y)))
(+.f64 (+.f64 x (sin.f64 y)) z)
(+.f64 x (*.f64 (-.f64 (+.f64 1 (cos.f64 y)) 1) z))
(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (+.f64 (+.f64 (cos.f64 y) -1) 1) z))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (-.f64 (+.f64 1 (cos.f64 y)) 1) z))
(+.f64 (+.f64 x (sin.f64 y)) (+.f64 z (*.f64 (+.f64 (cos.f64 y) -1) z)))
(+.f64 (+.f64 x (sin.f64 y)) (+.f64 (.f64 (+.f64 1 (cos.f64 y)) z) (.f64 -1 z)))
(+.f64 x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(+.f64 x (*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z))
(+.f64 x (*.f64 (pow.f64 (cbrt.f64 z) 3) (cos.f64 y)))
(+.f64 x (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
(+.f64 x (.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(+.f64 x (cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (log1p.f64 (expm1.f64 (cos.f64 y))) z))
(+.f64 x (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y))))
(+.f64 (+.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z))
(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(+.f64 (+.f64 x (sin.f64 y)) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))))
(+.f64 (+.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y))))

Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))

Calls

4 calls:

18.0ms	x
15.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
15.0ms	z
15.0ms	y

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`

Compiler

Compiled 311 to 130 computations (58.2% saved)

regimes62.0ms (0.3%)

Counts

9 → 3

Calls

Call 1

Inputs
z
(+.f64 x z)
(+.f64 z y)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 x (*.f64 z (cos.f64 y)))
(+.f64 (+.f64 x (sin.f64 y)) z)
(+.f64 x (*.f64 (-.f64 (+.f64 1 (cos.f64 y)) 1) z))
(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))

Outputs
(+.f64 x (*.f64 z (cos.f64 y)))
(+.f64 (+.f64 x (sin.f64 y)) z)
(+.f64 x (*.f64 z (cos.f64 y)))

Calls

3 calls:

22.0ms	y
21.0ms	x
17.0ms	z

Results

Error	Segments	Branch
2.3b	3	`x`
5.2b	4	`y`
0.2b	3	`z`

Compiler

Compiled 57 to 28 computations (50.9% saved)

bsearch70.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	1.1175429224496315e-6	11896.831472352229
33.0ms	-4.113067315640025e+19	-112358380156267.55

Results

34.0ms	230×	body	256	valid
26.0ms	57×	body	1024	valid
6.0ms	17×	body	512	valid

Compiler

Compiled 398 to 279 computations (29.9% saved)

regimes24.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

Inputs
z
(+.f64 x z)
(+.f64 z y)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 x (*.f64 z (cos.f64 y)))

Outputs
(+.f64 x (*.f64 z (cos.f64 y)))
(sin.f64 y)
(+.f64 x (*.f64 z (cos.f64 y)))

Calls

3 calls:

13.0ms	x
5.0ms	z
5.0ms	y

Results

Error	Segments	Branch
8.0b	3	`x`
9.2b	1	`y`
9.2b	1	`z`

Compiler

Compiled 34 to 19 computations (44.1% saved)

bsearch36.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
5.0ms	-1.5254716439258067e-235	-1.4624898316172225e-235
32.0ms	-6.790845869787692e-219	-3.5083468863258536e-221

Results

18.0ms	43×	body	1024	valid
11.0ms	68×	body	256	valid
6.0ms	17×	body	512	valid

Compiler

Compiled 146 to 109 computations (25.3% saved)

regimes50.0ms (0.3%)

Counts

5 → 5

Calls

Call 1

Inputs
z
(+.f64 x z)
(+.f64 z y)
(sin.f64 y)
(*.f64 (cos.f64 y) z)

Outputs
(+.f64 x z)
(*.f64 (cos.f64 y) z)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 x z)

Calls

3 calls:

20.0ms	x
16.0ms	y
12.0ms	z

Results

Error	Segments	Branch
13.3b	5	`x`
16.1b	4	`y`
14.0b	3	`z`

Compiler

Compiled 28 to 17 computations (39.3% saved)

bsearch98.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
62.0ms	9.45691296665491e+37	1.6061450816977374e+47
5.0ms	-1.5254716439258067e-235	-1.4624898316172225e-235
31.0ms	-6.790845869787692e-219	-3.5083468863258536e-221
0.0ms	-2.3564920836118957e+20	-2.3270794845759465e+20

Results

63.0ms	195×	body	256	valid
24.0ms	53×	body	1024	valid
7.0ms	24×	body	512	valid

Compiler

Compiled 265 to 200 computations (24.5% saved)

regimes38.0ms (0.2%)

Counts

4 → 7

Calls

Call 1

Inputs
z
(+.f64 x z)
(+.f64 z y)
(sin.f64 y)

Outputs
(+.f64 x z)
(sin.f64 y)
(+.f64 z y)
(sin.f64 y)
(+.f64 z y)
(sin.f64 y)
(+.f64 x z)

Calls

3 calls:

23.0ms	x
7.0ms	y
7.0ms	z

Results

Error	Segments	Branch
17.1b	7	`x`
18.9b	2	`y`
20.5b	1	`z`

Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch201.0ms (1.1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
24.0ms	4.4285123489338425e-116	1.7999097004691335e-115
24.0ms	4.4082972085318955e-142	4.040752323267594e-141
55.0ms	3.447335544390822e-220	1.068473973286527e-204
28.0ms	1.8116124208317902e-252	1.362697501407769e-250
41.0ms	-1.3032093329404595e-257	-7.891027205710115e-263
29.0ms	-6.790845869787692e-219	-3.5083468863258536e-221

Results

86.0ms	444×	body	256	valid
75.0ms	171×	body	1024	valid
30.0ms	105×	body	512	valid

Compiler

Compiled 603 to 463 computations (23.2% saved)

regimes19.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

Inputs
z
(+.f64 x z)
(+.f64 z y)

Outputs
(+.f64 x z)
(+.f64 z y)
(+.f64 x z)

Calls

3 calls:

9.0ms	x
6.0ms	z
3.0ms	y

Results

Error	Segments	Branch
19.5b	3	`x`
20.5b	1	`y`
20.5b	1	`z`

Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch63.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	5.297402179046915e-157	1.7399544604201005e-151
25.0ms	-1.4924860413020151e-112	-3.6957642829204015e-113

Results

30.0ms	65×	body	1024	valid
23.0ms	148×	body	256	valid
8.0ms	27×	body	512	valid

Compiler

Compiled 228 to 163 computations (28.5% saved)

regimes11.0ms (0.1%)

Accuracy

Total -26.1b remaining (-127.1%)

Threshold costs -26.1b (-127.1%)

Counts

2 → 1

Calls

Call 1

Inputs
z
(+.f64 x z)

Outputs
(+.f64 x z)

Calls

3 calls:

4.0ms	z
3.0ms	x
3.0ms	y

Results

Error	Segments	Branch
20.5b	1	`x`
20.5b	1	`y`
20.5b	1	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	223
1	71	223

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 z -114000000000000) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 z 2308094809027379/562949953421312) (+.f64 (+.f64 x (sin.f64 y)) z) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 x -21462010107965/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 x -1073958896942811/7159725979618740301104695983418709622680434793042663132360362425577766001338226039836321066456157093857339877304749930018599215189268344175111256510391144905128218576994803025566700315369744694061260002057936311868982638401684395903839696776618573824) (sin.f64 y) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 x -235000000000000000000) (+.f64 x z) (if (<=.f64 x -966585344121683/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704) (.f64 (cos.f64 y) z) (if (<=.f64 x -8477115559868589/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592) (sin.f64 y) (if (<=.f64 x 94999999999999995027949442561445199872) (.f64 (cos.f64 y) z) (+.f64 x z)))))
(if (<=.f64 x -1653369667576563/3179557053031851899185109992371205233166102563054994659612778573877352351101699863205638981281067986842598872467724437926239395930347139873677900339284338973090723790890700606566943304973513615002138622348731328001828550356615286489088) (+.f64 x z) (if (<=.f64 x -7616908286351531/17311155196253478792473470072144416162409589179551630037089016513386050438978760195257704640926750732932690575139049592549616764829783999684625661246273604056134014861279398598040994371221141620425498063936264221627122591096883175058256589578798251261609200218857078729474048) (sin.f64 y) (if (<=.f64 x 6835842321823793/64489078507771636517619602650941968569195230229018740494135828738607654120693952572560700181598777819174120482575333090683880317322105168121403683894401803821824546386597300313565859091360649542605497181178123584490726109955024626323046496431523007383976877550993408) (+.f64 z y) (if (<=.f64 x 8849353126114041/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712) (sin.f64 y) (if (<=.f64 x 3432398830065305/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) (+.f64 z y) (if (<=.f64 x 7985288719067947/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736) (sin.f64 y) (+.f64 x z)))))))
(if (<=.f64 x -3682451937504207/43322963970637732180912721627235682866194329302747133987038743447103457934462900359999600095377180907771737671271930809827721216) (+.f64 x z) (if (<=.f64 x 1094449103198247/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976) (+.f64 z y) (+.f64 x z)))
(+.f64 x z)
z

Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 z -114000000000000) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 z 2308094809027379/562949953421312) (+.f64 (+.f64 x (sin.f64 y)) z) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 x -21462010107965/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 x -1073958896942811/7159725979618740301104695983418709622680434793042663132360362425577766001338226039836321066456157093857339877304749930018599215189268344175111256510391144905128218576994803025566700315369744694061260002057936311868982638401684395903839696776618573824) (sin.f64 y) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 x -235000000000000000000) (+.f64 x z) (if (<=.f64 x -966585344121683/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704) (.f64 (cos.f64 y) z) (if (<=.f64 x -8477115559868589/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592) (sin.f64 y) (if (<=.f64 x 94999999999999995027949442561445199872) (.f64 (cos.f64 y) z) (+.f64 x z)))))
(if (<=.f64 x -235000000000000000000) (+.f64 x z) (if (<=.f64 x -966585344121683/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704) (.f64 z (cos.f64 y)) (if (<=.f64 x -8477115559868589/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592) (sin.f64 y) (if (<=.f64 x 94999999999999995027949442561445199872) (.f64 z (cos.f64 y)) (+.f64 x z)))))
(if (<=.f64 x -1653369667576563/3179557053031851899185109992371205233166102563054994659612778573877352351101699863205638981281067986842598872467724437926239395930347139873677900339284338973090723790890700606566943304973513615002138622348731328001828550356615286489088) (+.f64 x z) (if (<=.f64 x -7616908286351531/17311155196253478792473470072144416162409589179551630037089016513386050438978760195257704640926750732932690575139049592549616764829783999684625661246273604056134014861279398598040994371221141620425498063936264221627122591096883175058256589578798251261609200218857078729474048) (sin.f64 y) (if (<=.f64 x 6835842321823793/64489078507771636517619602650941968569195230229018740494135828738607654120693952572560700181598777819174120482575333090683880317322105168121403683894401803821824546386597300313565859091360649542605497181178123584490726109955024626323046496431523007383976877550993408) (+.f64 z y) (if (<=.f64 x 8849353126114041/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712) (sin.f64 y) (if (<=.f64 x 3432398830065305/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) (+.f64 z y) (if (<=.f64 x 7985288719067947/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736) (sin.f64 y) (+.f64 x z)))))))
(if (<=.f64 x -1653369667576563/3179557053031851899185109992371205233166102563054994659612778573877352351101699863205638981281067986842598872467724437926239395930347139873677900339284338973090723790890700606566943304973513615002138622348731328001828550356615286489088) (+.f64 x z) (if (<=.f64 x -7616908286351531/17311155196253478792473470072144416162409589179551630037089016513386050438978760195257704640926750732932690575139049592549616764829783999684625661246273604056134014861279398598040994371221141620425498063936264221627122591096883175058256589578798251261609200218857078729474048) (sin.f64 y) (if (<=.f64 x 6835842321823793/64489078507771636517619602650941968569195230229018740494135828738607654120693952572560700181598777819174120482575333090683880317322105168121403683894401803821824546386597300313565859091360649542605497181178123584490726109955024626323046496431523007383976877550993408) (+.f64 y z) (if (<=.f64 x 8849353126114041/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712) (sin.f64 y) (if (<=.f64 x 3432398830065305/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) (+.f64 y z) (if (<=.f64 x 7985288719067947/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736) (sin.f64 y) (+.f64 x z)))))))
(if (<=.f64 x -3682451937504207/43322963970637732180912721627235682866194329302747133987038743447103457934462900359999600095377180907771737671271930809827721216) (+.f64 x z) (if (<=.f64 x 1094449103198247/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976) (+.f64 z y) (+.f64 x z)))
(if (<=.f64 x -3682451937504207/43322963970637732180912721627235682866194329302747133987038743447103457934462900359999600095377180907771737671271930809827721216) (+.f64 x z) (if (<=.f64 x 1094449103198247/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976) (+.f64 y z) (+.f64 x z)))
(+.f64 x z)
z

Compiler

Compiled 176 to 97 computations (44.9% saved)

soundness0.0ms (0%)

end58.0ms (0.3%)

Compiler: Compiled 155 to 60 computations (61.3% saved)

Details

analyze234.0ms (1.2%)

sample1.8s (9.4%)

preprocess16.0ms (0.1%)

simplify6.0ms (0%)

eval1.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.1%)

series15.0ms (0.1%)

rewrite46.0ms (0.2%)

simplify72.0ms (0.4%)

eval27.0ms (0.1%)

prune19.0ms (0.1%)

localize16.0ms (0.1%)

series3.6s (18.7%)

rewrite48.0ms (0.3%)

simplify50.0ms (0.3%)

localize9.0ms (0%)

localize7.0ms (0%)

localize10.0ms (0.1%)

series8.0ms (0%)

rewrite44.0ms (0.2%)

simplify49.0ms (0.3%)

localize18.0ms (0.1%)

series45.0ms (0.2%)

rewrite49.0ms (0.3%)

simplify52.0ms (0.3%)

eval187.0ms (1%)

prune95.0ms (0.5%)

localize20.0ms (0.1%)

series28.0ms (0.1%)

rewrite48.0ms (0.3%)

simplify49.0ms (0.3%)

localize3.0ms (0%)

localize5.0ms (0%)

localize15.0ms (0.1%)

localize11.0ms (0.1%)

series4.3s (22.5%)

rewrite43.0ms (0.2%)

simplify49.0ms (0.3%)

eval124.0ms (0.7%)

prune69.0ms (0.4%)

localize15.0ms (0.1%)

series16.0ms (0.1%)

rewrite45.0ms (0.2%)

simplify46.0ms (0.2%)

localize3.0ms (0%)

localize19.0ms (0.1%)

series14.0ms (0.1%)

rewrite55.0ms (0.3%)

simplify53.0ms (0.3%)

localize12.0ms (0.1%)

localize19.0ms (0.1%)

series6.3s (32.9%)

rewrite56.0ms (0.3%)

simplify52.0ms (0.3%)

eval191.0ms (1%)

prune127.0ms (0.7%)

regimes74.0ms (0.4%)

regimes62.0ms (0.3%)

bsearch70.0ms (0.4%)

regimes24.0ms (0.1%)

bsearch36.0ms (0.2%)

regimes50.0ms (0.3%)

bsearch98.0ms (0.5%)

regimes38.0ms (0.2%)

bsearch201.0ms (1.1%)

regimes19.0ms (0.1%)

bsearch63.0ms (0.3%)

regimes11.0ms (0.1%)

simplify9.0ms (0%)

soundness0.0ms (0%)

end58.0ms (0.3%)

Profiling