Details

analyze146.0ms (3.5%)

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
26.7%	25%	68.7%	0.1%	0%	6.2%	0%	5
27.6%	25%	65.6%	0.1%	0%	9.4%	0%	6
49%	37.5%	39%	0.1%	0%	23.4%	0%	7
50.5%	37.5%	36.7%	0.1%	0%	25.8%	0%	8
67.9%	43.7%	20.7%	0.1%	0%	35.5%	0%	9
69.3%	43.7%	19.3%	0.1%	0%	36.9%	0%	10
81.5%	46.8%	10.6%	0.1%	0%	42.4%	0%	11
82.5%	46.8%	9.9%	0.1%	0%	43.2%	0%	12

Compiler

Compiled 19 to 17 computations (10.5% saved)

sample1.9s (44.7%)

Results

1.7s	8256×	body	256	valid
178.0ms	1146×	body	256	invalid

Bogosity

preprocess22.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

32×	`fma-def_binary64`
16×	`sub-neg_binary64`
12×	`+-commutative_binary64`
12×	`div-sub_binary64`
10×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	52
1	39	46
2	59	42
3	79	42
4	93	42
5	116	42
6	140	42
7	174	42
8	176	42
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 h) g)) 3))))

Outputs
(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 2 (/.f64 3 (PI.f64))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 h) g)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 2 (/.f64 3 (PI.f64))) (/.f64 (acos.f64 (/.f64 (neg.f64 h) g)) 3))))
(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 h) g)) 3))))
(*.f64 2 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 h) g)) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 h) g)) 3))))

Compiler

Compiled 20 to 18 computations (10% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`fma-def_binary64`
7×	`sub-neg_binary64`
6×	`*-commutative_binary64`
5×	`+-commutative_binary64`
5×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	26	23
2	40	21
3	51	21
4	58	21
5	70	21
6	82	21
7	98	21

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

Inputs
(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Outputs
(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 2 (/.f64 3 (PI.f64))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

eval2.0ms (0%)

Compiler: Compiled 74 to 48 computations (35.1% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	3	2	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	2	6

Error

1.0b

Counts

6 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
▶	1.0b	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Compiler

Compiled 31 to 27 computations (12.9% saved)

localize25.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
✓	1.0b	(+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
✓	1.0b	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
✓	1.0b	(*.f64 2/3 (PI.f64))

Compiler

Compiled 66 to 32 computations (51.5% saved)

series11.0ms (0.3%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	h	@	-inf	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0ms	g	@	0	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0ms	g	@	inf	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0ms	g	@	-inf	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0ms	h	@	inf	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))

rewrite79.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

651×	`log-prod_binary64`
366×	`pow2_binary64`
307×	`fma-def_binary64`
256×	`expm1-udef_binary64`
256×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	298	44
2	4135	44

Stop Event

1×	node limit

Counts

4 → 148

Calls

Call 1

Inputs
(*.f64 2/3 (PI.f64))
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 2/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 2/3 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 2/3 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 2/3 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 2/3 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2/3 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 2/3 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 2/3 (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 8/27 (pow.f64 (PI.f64) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 2/3 (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 2/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 2/3 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 8/27 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 2/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 2/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 2/3 (PI.f64))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3))) (fma.f64 (neg.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (neg.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (.f64 (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3))))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (/.f64 (pow.f64 (.f64 2/3 (PI.f64)) 2) (-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (/.f64 g h)) 1/3)))) (cos.f64 (/.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (/.f64 g h)) 1/3))))) (.f64 (sin.f64 (/.f64 (pow.f64 (.f64 2/3 (PI.f64)) 2) (-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (/.f64 g h)) 1/3)))) (sin.f64 (/.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (/.f64 g h)) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2) (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3)))) (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 3) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 2) (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 2) (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 2) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 2)) (cos.f64 (-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3))) 2))))) 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simplify110.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

493×	`distribute-rgt-in_binary64`
480×	`times-frac_binary64`
456×	`distribute-lft-in_binary64`
420×	`unswap-sqr_binary64`
346×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	326	4540
1	712	4394
2	2365	4315

Stop Event

1×	node limit

Counts

220 → 193

Calls

Call 1

Inputs
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(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
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(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
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(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 2) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 2)) (cos.f64 (-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (/.f64 g h)) 1/3))))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)
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(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) 1))

Outputs
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(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
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(.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cbrt.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (cbrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cbrt.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) 2) (.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) 1/3))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(.f64 (sqrt.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sqrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) (.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) 1/3))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 (neg.f64 (acos.f64 (/.f64 g h))) -1/3)
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 1)
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3)
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(pow.f64 (sqrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2)
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(pow.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27))
(pow.f64 (/.f64 3 (acos.f64 (/.f64 g h))) -1)
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(pow.f64 (/.f64 (/.f64 3 (acos.f64 (/.f64 g h))) 1) -1)
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(neg.f64 (/.f64 (acos.f64 (/.f64 g h)) -3))
(/.f64 (neg.f64 (acos.f64 (/.f64 g h))) -3)
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9))
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(cbrt.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27))
(expm1.f64 (log1p.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(log1p.f64 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(exp.f64 (log.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) 1))
(*.f64 1/3 (acos.f64 (/.f64 g h)))

localize22.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
	1.0b	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
✓	1.0b	(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))

Compiler

Compiled 60 to 27 computations (55% saved)

series7.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	g	@	inf	(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0ms	g	@	0	(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0ms	h	@	0	(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0ms	g	@	-inf	(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0ms	h	@	inf	(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))

rewrite64.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`log-prod_binary64`
304×	`pow2_binary64`
266×	`pow-prod-down_binary64`
216×	`expm1-udef_binary64`
216×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	261	30
2	3357	30

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

Inputs
(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 (.f64 (PI.f64) 2/3)) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (neg.f64 (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 (PI.f64) 2/3))))) (fma.f64 (neg.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (.f64 (PI.f64) 2/3)) (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 (PI.f64) 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 (PI.f64) 2/3)) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (.f64 (sin.f64 (.f64 (PI.f64) 2/3)) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (.f64 (PI.f64) 2/3))) (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 (PI.f64) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2/3) 1)) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (.f64 (sin.f64 (.f64 (.f64 (PI.f64) 2/3) 1)) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2) (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) (sqrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (.f64 (PI.f64) 2/3)) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) 2/3)) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 (PI.f64) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (PI.f64) 2/3) 1) (.f64 (acos.f64 (/.f64 g h)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 2) (cbrt.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (sqrt.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 2/3) 3) (pow.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) 2/3) 2) (-.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 2/3) 2) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (-.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))) (exp.f64 (.f64 (PI.f64) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (exp.f64 (.f64 (PI.f64) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 (PI.f64) 2/3)) (+.f64 1 (expm1.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2))))))

Outputs

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simplify73.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

532×	`fma-def_binary64`
328×	`log-prod_binary64`
292×	`unswap-sqr_binary64`
237×	`distribute-rgt-in_binary64`
227×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	180	2298
1	397	2150
2	1196	2019
3	4830	2019

Stop Event

1×	node limit

Counts

112 → 90

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 0 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(+.f64 (fma.f64 (cos.f64 (.f64 (PI.f64) 2/3)) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (neg.f64 (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 (PI.f64) 2/3))))) (fma.f64 (neg.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (.f64 (PI.f64) 2/3)) (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 (PI.f64) 2/3)))))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))) (sin.f64 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 1)
(-.f64 (.f64 (cos.f64 (.f64 (PI.f64) 2/3)) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (.f64 (sin.f64 (.f64 (PI.f64) 2/3)) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))))
(-.f64 (.f64 (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (.f64 (PI.f64) 2/3))) (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 (PI.f64) 2/3))))
(-.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2/3) 1)) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (.f64 (sin.f64 (.f64 (.f64 (PI.f64) 2/3) 1)) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))))
(.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)
(.f64 1 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))
(.f64 (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2) (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(.f64 (sqrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) (sqrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)
(pow.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2) 1/2)
(pow.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 3)
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2))
(log.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(exp.f64 (.f64 (log.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))) 2))
(fma.f64 (cos.f64 (.f64 (PI.f64) 2/3)) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) 2/3)) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 (PI.f64) 2/3))
(+.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3))
(+.f64 0 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(+.f64 (.f64 (.f64 (PI.f64) 2/3) 1) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 1)
(.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)) 1)
(.f64 1 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))
(.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 2) (cbrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(.f64 (sqrt.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (sqrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 2/3) 3) (pow.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) 2/3) 2) (-.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (.f64 (.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 2/3) 2) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (-.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3)))
(pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 1)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(log.f64 (.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))) (exp.f64 (.f64 (PI.f64) 2/3))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (exp.f64 (*.f64 (PI.f64) 2/3))))
(log.f64 (.f64 (exp.f64 (.f64 (PI.f64) 2/3)) (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(exp.f64 (.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2))

Outputs
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
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(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2))
(fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(log.f64 (.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))) (exp.f64 (.f64 (PI.f64) 2/3))))
(fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (exp.f64 (*.f64 (PI.f64) 2/3))))
(fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(log.f64 (.f64 (exp.f64 (.f64 (PI.f64) 2/3)) (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3))
(fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(exp.f64 (.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 1))
(fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)) 3)) 1/3))
(fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 3))
(fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2))
(fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))

eval199.0ms (4.8%)

Compiler: Compiled 7085 to 4497 computations (36.5% saved)

prune54.0ms (1.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	319	2	321
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	319	4	323

Error

0.0b

Counts

323 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(.f64 2 (.f64 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))) 3))
✓	1.0b	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
▶	1.8b	(.f64 2 (cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))
✓	1.0b	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Compiler

Compiled 65 to 57 computations (12.3% saved)

localize43.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(*.f64 (acos.f64 (/.f64 g h)) 1/3)
✓	1.0b	(+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 (PI.f64) 2/3))
✓	1.0b	(cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 (PI.f64) 2/3)))
✓	1.0b	(*.f64 (PI.f64) 2/3)

Compiler

Compiled 58 to 31 computations (46.6% saved)

series6.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	g	@	0	(cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 (PI.f64) 2/3)))
1.0ms	h	@	0	(cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 (PI.f64) 2/3)))
0.0ms	g	@	inf	(cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 (PI.f64) 2/3)))
0.0ms	g	@	-inf	(cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 (PI.f64) 2/3)))
0.0ms	h	@	-inf	(cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 (PI.f64) 2/3)))

rewrite75.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

636×	`log-prod_binary64`
359×	`pow2_binary64`
333×	`fma-def_binary64`
249×	`pow1/3_binary64`
249×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	266	44
2	3529	44

Stop Event

1×	node limit

Counts

4 → 139

Calls

Call 1

Inputs
(*.f64 (PI.f64) 2/3)
(cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 (PI.f64) 2/3)))
(+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 (PI.f64) 2/3))
(*.f64 (acos.f64 (/.f64 g h)) 1/3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (PI.f64) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (PI.f64))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) 2/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (PI.f64) 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (PI.f64) 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (PI.f64) 3) 8/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) 8/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (PI.f64) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (PI.f64) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (PI.f64) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 (PI.f64) 2/3)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (fma.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) 2/3))) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 (PI.f64) 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (.f64 (PI.f64) 2/3))) (neg.f64 (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 (PI.f64) 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (.f64 (PI.f64) 2/3))) (.f64 (neg.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (.f64 (PI.f64) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (/.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 -2/3 (PI.f64))))) (cos.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 -2/3 (PI.f64)))))) (.f64 (sin.f64 (/.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 -2/3 (PI.f64))))) (sin.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 -2/3 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (.f64 (PI.f64) 2/3))) (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 (PI.f64) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2) (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) (sqrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (.f64 (PI.f64) 2/3))) 3) (pow.f64 (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 (PI.f64) 2/3))) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (.f64 (PI.f64) 2/3))) 2) (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 (PI.f64) 2/3))) 2) (.f64 (.f64 (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (.f64 (PI.f64) 2/3))) (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 (PI.f64) 2/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (.f64 (PI.f64) 2/3))) 2) (pow.f64 (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 (PI.f64) 2/3))) 2)) (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 -2/3 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2)))) (#(struct:change #<rule egg-rr> 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (acos.f64 (/.f64 g h)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 1))))))

simplify106.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

464×	`distribute-rgt-in_binary64`
436×	`distribute-lft-in_binary64`
382×	`unswap-sqr_binary64`
311×	`*-commutative_binary64`
213×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	314	4239
1	694	4069
2	2211	4021

Stop Event

1×	node limit

Counts

211 → 174

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
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(+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))
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(+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))
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(+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
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(+.f64 0 (*.f64 (PI.f64) 2/3))
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(log.f64 (pow.f64 (exp.f64 2/3) (PI.f64)))
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(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 2/3)))
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(-.f64 (.f64 (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (.f64 (PI.f64) 2/3))) (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 (PI.f64) 2/3))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 1)
(.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)
(.f64 1 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))
(.f64 (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2))
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(pow.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 3)
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2)
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(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(exp.f64 (.f64 (log.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 1))
(fma.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 1 (fma.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) 2/3))) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 (PI.f64) 2/3)))))
(fma.f64 1 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (fma.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) 2/3))) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 (PI.f64) 2/3)))))
(fma.f64 1 (.f64 (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (.f64 (PI.f64) 2/3))) (neg.f64 (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 (PI.f64) 2/3)))))
(fma.f64 1 (.f64 (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (.f64 (PI.f64) 2/3))) (.f64 (neg.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (.f64 (PI.f64) 2/3))))
(fma.f64 (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2) (fma.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) 2/3))) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2) (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) (fma.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) 2/3))) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)))))
(fma.f64 (sqrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) (sqrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) (fma.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) 2/3))) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)))))
(fma.f64 (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (.f64 (PI.f64) 2/3)) (neg.f64 (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)))))
(fma.f64 (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (.f64 (PI.f64) 2/3)) (.f64 (neg.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 (PI.f64) 2/3))))
(fma.f64 (cos.f64 (.f64 (PI.f64) 2/3)) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (neg.f64 (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)))))
(fma.f64 (cos.f64 (.f64 (PI.f64) 2/3)) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (.f64 (neg.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 (PI.f64) 2/3))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (.f64 (PI.f64) 2/3)))) 2) (cbrt.f64 (.f64 (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (.f64 (PI.f64) 2/3)))) (neg.f64 (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (.f64 (PI.f64) 2/3)))) 2) (cbrt.f64 (.f64 (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (.f64 (PI.f64) 2/3)))) (.f64 (neg.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 (PI.f64) 2/3))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (.f64 (PI.f64) 2/3)))) (sqrt.f64 (.f64 (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (.f64 (PI.f64) 2/3)))) (neg.f64 (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (.f64 (PI.f64) 2/3)))) (sqrt.f64 (.f64 (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (.f64 (PI.f64) 2/3)))) (.f64 (neg.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 (PI.f64) 2/3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 -2/3 (PI.f64)))) (/.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 -2/3 (PI.f64)))))
(.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)) 1)
(.f64 1 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))
(.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 2) (cbrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(.f64 (sqrt.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (sqrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (.f64 (pow.f64 (PI.f64) 3) 8/27)) (/.f64 1 (fma.f64 (.f64 (PI.f64) 2/3) (-.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3)) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9))))
(.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (.f64 (pow.f64 (PI.f64) 2) 4/9)) (/.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 -2/3 (PI.f64)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 (PI.f64) 2/3) (-.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3)) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (*.f64 (pow.f64 (PI.f64) 3) 8/27))))
(/.f64 1 (/.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 -2/3 (PI.f64))) (-.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (*.f64 (pow.f64 (PI.f64) 2) 4/9))))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (.f64 (pow.f64 (PI.f64) 3) 8/27)) (fma.f64 (.f64 (PI.f64) 2/3) (-.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3)) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (.f64 (pow.f64 (PI.f64) 3) 8/27)) (fma.f64 (pow.f64 (PI.f64) 2) 4/9 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9 (neg.f64 (.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(/.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (.f64 (pow.f64 (PI.f64) 2) 4/9)) (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 -2/3 (PI.f64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (.f64 (pow.f64 (PI.f64) 3) 8/27))) (neg.f64 (fma.f64 (.f64 (PI.f64) 2/3) (-.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3)) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (.f64 (pow.f64 (PI.f64) 2) 4/9))) (neg.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 -2/3 (PI.f64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (-.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3)))
(pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 1)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 (PI.f64) 2/3) (-.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3)) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (*.f64 (pow.f64 (PI.f64) 3) 8/27))) -1)
(pow.f64 (/.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 -2/3 (PI.f64))) (-.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (*.f64 (pow.f64 (PI.f64) 2) 4/9))) -1)
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) 2/3))) (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h))))))
(log.f64 (.f64 (pow.f64 (exp.f64 2/3) (PI.f64)) (+.f64 1 (expm1.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) 2/3))) (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (pow.f64 (exp.f64 2/3) (PI.f64))))
(log.f64 (.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))) (+.f64 1 (expm1.f64 (.f64 (PI.f64) 2/3)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 2/3)))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(exp.f64 (.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 1))
(fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 (.f64 (PI.f64) 2/3) 1 (.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 (PI.f64) 2/3))
(fma.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) 1 (.f64 (PI.f64) 2/3))
(fma.f64 1 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 1 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 (PI.f64) 2/3))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) 2) (.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) 1/3) (.f64 (PI.f64) 2/3))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 (cbrt.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (pow.f64 (cbrt.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) 2) (*.f64 (PI.f64) 2/3))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) 2) (cbrt.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (*.f64 (PI.f64) 2/3))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) 2/3)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 2/3)) 2) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 2/3)) 2) (cbrt.f64 (.f64 (PI.f64) 2/3)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) (.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) 1/3) (.f64 (PI.f64) 2/3))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 (sqrt.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sqrt.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (*.f64 (PI.f64) 2/3))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 2/3)) (sqrt.f64 (.f64 (PI.f64) 2/3)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 (.f64 2/3 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 (.f64 2/3 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 (.f64 1/3 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) 2)) (cbrt.f64 (acos.f64 (/.f64 g h))) (.f64 (PI.f64) 2/3))
(fma.f64 (.f64 1/3 (sqrt.f64 (acos.f64 (/.f64 g h)))) (sqrt.f64 (acos.f64 (/.f64 g h))) (.f64 (PI.f64) 2/3))
(+.f64 0 (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)
(pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 1)
(pow.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) 1/2)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2)
(pow.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9))
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(cbrt.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27))
(expm1.f64 (log1p.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(log1p.f64 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(exp.f64 (log.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) 1))

Outputs
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
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(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (.f64 (pow.f64 (PI.f64) 3) 8/27)) (fma.f64 (.f64 2/3 (PI.f64)) (fma.f64 (acos.f64 (/.f64 g h)) -1/3 (.f64 2/3 (PI.f64))) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)))
(pow.f64 (/.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 -2/3 (PI.f64))) (-.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (*.f64 (pow.f64 (PI.f64) 2) 4/9))) -1)
(/.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (.f64 (pow.f64 (PI.f64) 2) 4/9)) (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) -2/3)))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9 (.f64 (pow.f64 (PI.f64) 2) -4/9)) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) -2/3)))
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) 2/3))) (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h))))))
(+.f64 (*.f64 2/3 (PI.f64)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h))))))
(fma.f64 2/3 (PI.f64) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h))))))
(log.f64 (.f64 (pow.f64 (exp.f64 2/3) (PI.f64)) (+.f64 1 (expm1.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) 2/3))) (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (pow.f64 (exp.f64 2/3) (PI.f64))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(log.f64 (.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))) (+.f64 1 (expm1.f64 (.f64 (PI.f64) 2/3)))))
(+.f64 (*.f64 2/3 (PI.f64)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h))))))
(fma.f64 2/3 (PI.f64) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 2/3)))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(exp.f64 (.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 1))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (.f64 (PI.f64) 2/3) 1 (.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 (PI.f64) 2/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) 1 (.f64 (PI.f64) 2/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 1 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 1 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 (PI.f64) 2/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) 2) (.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) 1/3) (.f64 (PI.f64) 2/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (cbrt.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (pow.f64 (cbrt.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) 2) (*.f64 (PI.f64) 2/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) 2) (cbrt.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (*.f64 (PI.f64) 2/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) 2/3)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 2/3)) 2) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 2/3)) 2) (cbrt.f64 (.f64 (PI.f64) 2/3)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) (.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) 1/3) (.f64 (PI.f64) 2/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (sqrt.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sqrt.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (*.f64 (PI.f64) 2/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 2/3)) (sqrt.f64 (.f64 (PI.f64) 2/3)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (.f64 2/3 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (.f64 2/3 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (.f64 1/3 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) 2)) (cbrt.f64 (acos.f64 (/.f64 g h))) (.f64 (PI.f64) 2/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (.f64 1/3 (sqrt.f64 (acos.f64 (/.f64 g h)))) (sqrt.f64 (acos.f64 (/.f64 g h))) (.f64 (PI.f64) 2/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(+.f64 0 (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))))
(*.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))))
(*.f64 2 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 1)
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(pow.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) 1/2)
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9))
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3)
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(pow.f64 (sqrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2)
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(pow.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27))
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9))
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(cbrt.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27))
(expm1.f64 (log1p.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(log1p.f64 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(exp.f64 (log.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) 1))
(*.f64 1/3 (acos.f64 (/.f64 g h)))

localize55.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
✓	0.0b	(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
✓	1.0b	(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
	1.0b	(*.f64 2/3 (PI.f64))

Compiler

Compiled 106 to 63 computations (40.6% saved)

series153.0ms (3.7%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
40.0ms	h	@	inf	(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
33.0ms	g	@	0	(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
26.0ms	g	@	inf	(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
17.0ms	h	@	-inf	(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
16.0ms	g	@	-inf	(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))

rewrite84.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

624×	`log-prod_binary64`
353×	`pow2_binary64`
326×	`pow-prod-down_binary64`
248×	`expm1-udef_binary64`
248×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	58
1	278	55
2	3264	55

Stop Event

1×	node limit

Counts

3 → 113

Calls

Call 1

Inputs

(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))

(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))

(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) (*.f64 2/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) (*.f64 1/2 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 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simplify88.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

481×	`associate-+l+_binary64`
379×	`log-prod_binary64`
361×	`associate-/l*_binary64`
334×	`unswap-sqr_binary64`
326×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	255	4440
1	566	4306
2	2174	4154

Stop Event

1×	node limit

Counts

185 → 140

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
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(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3))
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(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))) 2)) (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))))) (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))))
(sqrt.f64 (exp.f64 (.f64 2/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))))
(exp.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))))
(exp.f64 (.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))) 1/3))
(+.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))) 0)
(+.f64 (.f64 1/6 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))) (.f64 1/6 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))))
(+.f64 (.f64 1/3 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 2/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))))
(+.f64 0 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (.f64 2/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))))) (.f64 1/3 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(+.f64 (log.f64 (pow.f64 1 1/3)) (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))))) 1)
(.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) 1)
(.f64 1 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))) (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))) 2) (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))) (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(.f64 2 (.f64 1/6 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(.f64 3 (.f64 1/3 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))))
(pow.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))) 1)
(pow.f64 (pow.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))) 3)
(pow.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))) 2)
(sqrt.f64 (pow.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))) 2))
(cbrt.f64 (pow.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))) 3))
(expm1.f64 (log1p.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))))
(log1p.f64 (expm1.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))))
(exp.f64 (log.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))) 1))

Outputs
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3))
(.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3))
(.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3))
(.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3))
(.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3))
(.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) 1/3))
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(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))))) (sqrt.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))))) (sqrt.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))))))
(pow.f64 (pow.f64 (exp.f64 1) 1/3) (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(pow.f64 (cbrt.f64 (E.f64)) (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))))) (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))) 2))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))) 2)) (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))))) (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(sqrt.f64 (exp.f64 (.f64 2/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))))
(sqrt.f64 (pow.f64 (exp.f64 2/3) (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(fabs.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(exp.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(exp.f64 (.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))) 1/3))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(+.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))) 0)
(.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(+.f64 (.f64 1/6 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))) (.f64 1/6 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))))
(.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(+.f64 (.f64 1/3 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 2/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))))
(+.f64 (.f64 1/9 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))))
(fma.f64 1/9 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))))))
(+.f64 0 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))))
(.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (.f64 2/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))))) (.f64 1/3 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(+.f64 (.f64 1/9 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))))
(fma.f64 1/9 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))))))
(+.f64 (log.f64 (pow.f64 1 1/3)) (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))))
(.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))))) 1)
(.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) 1)
(.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(.f64 1 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))) (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))) 2))
(.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))) 2) (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))) (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(.f64 2 (.f64 1/6 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(.f64 3 (.f64 1/3 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))))
(.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(pow.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))) 1)
(.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(pow.f64 (pow.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))) 2) 1/2)
(.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(pow.f64 (pow.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))) 3) 1/3)
(.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))) 3)
(.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(pow.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))) 2)
(.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(sqrt.f64 (pow.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))) 2))
(.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(cbrt.f64 (pow.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))) 3))
(.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(expm1.f64 (log1p.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))))
(.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(log1p.f64 (expm1.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))))
(.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(exp.f64 (log.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))))
(.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))) 1))
(.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))

eval181.0ms (4.3%)

Compiler: Compiled 8691 to 5901 computations (32.1% saved)

prune62.0ms (1.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	334	1	335
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	334	5	339

Error

0.0b

Counts

339 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(.f64 2 (.f64 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))) 3))
▶	0.9b	(.f64 2 (.f64 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))))) 3))
✓	1.0b	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓	1.8b	(.f64 2 (cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))
✓	1.0b	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Compiler

Compiled 85 to 75 computations (11.8% saved)

localize56.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))
✓	1.0b	(*.f64 1/3 (acos.f64 (/.f64 g h)))
✓	1.0b	(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
	1.0b	(*.f64 2/3 (PI.f64))

Compiler

Compiled 119 to 72 computations (39.5% saved)

series6.0ms (0.1%)

Counts

3 → 0

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	g	@	0	(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
0.0ms	g	@	inf	(+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))
0.0ms	g	@	inf	(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
0.0ms	h	@	inf	(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
0.0ms	h	@	inf	(+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))

rewrite79.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

636×	`log-prod_binary64`
359×	`pow2_binary64`
333×	`fma-def_binary64`
249×	`pow1/3_binary64`
249×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	266	39
2	3529	39

Stop Event

1×	node limit

Counts

3 → 122

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))

Outputs

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simplify94.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

795×	`fma-def_binary64`
445×	`fma-neg_binary64`
374×	`log-prod_binary64`
336×	`unswap-sqr_binary64`
265×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	284	3266
1	647	3127
2	1863	2937
3	7038	2937

Stop Event

1×	node limit

Counts

122 → 148

Calls

Call 1

Inputs
(+.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))) (fma.f64 (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))))))
(+.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 2/3 (PI.f64)))) (neg.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))))))
(+.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 2/3 (PI.f64)))) (.f64 (neg.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))))
(+.f64 0 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))) (sin.f64 1)))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 -2/3 (PI.f64))))) (cos.f64 (/.f64 (.f64 4/9 (pow.f64 (PI.f64) 2)) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 -2/3 (PI.f64)))))) (.f64 (sin.f64 (/.f64 (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 -2/3 (PI.f64))))) (sin.f64 (/.f64 (.f64 4/9 (pow.f64 (PI.f64) 2)) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 -2/3 (PI.f64)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))))))
(-.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 2/3 (PI.f64)))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))) 1)
(.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))) 1)
(.f64 1 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(.f64 (cbrt.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))) 2) (cbrt.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(.f64 (sqrt.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))) (sqrt.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 2/3 (PI.f64)))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 2/3 (PI.f64)))) 2) (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 2) (.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 2/3 (PI.f64)))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 2/3 (PI.f64)))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 -2/3 (PI.f64)))))
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 1)
(pow.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2) 1/2)
(pow.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 3) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) 3)
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(log.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) 1)
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(pow.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) 2)
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(sqrt.f64 (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)))
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
(cbrt.f64 (*.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(log1p.f64 (expm1.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(exp.f64 (log.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) 1)
(-.f64 (/.f64 (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 -2/3 (PI.f64)))) (/.f64 (.f64 4/9 (pow.f64 (PI.f64) 2)) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 -2/3 (PI.f64)))))
(.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))) 1)
(.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))
(.f64 (cbrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))) 2) (cbrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(.f64 (sqrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))) (sqrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
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(/.f64 1 (/.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 -2/3 (PI.f64))) (fma.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2) (neg.f64 (.f64 4/9 (pow.f64 (PI.f64) 2))))))
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(/.f64 (fma.f64 8/27 (pow.f64 (PI.f64) 3) (.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3))) (fma.f64 4/9 (pow.f64 (PI.f64) 2) (fma.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2) (neg.f64 (.f64 1/3 (.f64 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64))))))))
(/.f64 (fma.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2) (neg.f64 (.f64 4/9 (pow.f64 (PI.f64) 2)))) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 -2/3 (PI.f64))))
(/.f64 (neg.f64 (fma.f64 8/27 (pow.f64 (PI.f64) 3) (.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3)))) (neg.f64 (fma.f64 (.f64 2/3 (PI.f64)) (-.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)))))
(/.f64 (neg.f64 (fma.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2) (neg.f64 (.f64 4/9 (pow.f64 (PI.f64) 2))))) (neg.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 -2/3 (PI.f64)))))
(/.f64 (-.f64 (.f64 4/9 (pow.f64 (PI.f64) 2)) (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2))) (-.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (/.f64 g h)))))
(pow.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))) 1)
(pow.f64 (pow.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 2/3 (PI.f64)) (-.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2))) (fma.f64 8/27 (pow.f64 (PI.f64) 3) (*.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3)))) -1)
(pow.f64 (/.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 -2/3 (PI.f64))) (fma.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2) (neg.f64 (.f64 4/9 (pow.f64 (PI.f64) 2))))) -1)
(sqrt.f64 (pow.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) (pow.f64 (exp.f64 2/3) (PI.f64))))
(log.f64 (.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))) (+.f64 1 (expm1.f64 (.f64 2/3 (PI.f64))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) (+.f64 1 (expm1.f64 (*.f64 2/3 (PI.f64))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 2/3 (PI.f64)))) (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h))))))
(log.f64 (.f64 (pow.f64 (exp.f64 2/3) (PI.f64)) (+.f64 1 (expm1.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 2/3 (PI.f64)))) (+.f64 1 (expm1.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))))))
(cbrt.f64 (pow.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(log1p.f64 (expm1.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))) 1))
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(fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))
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(fma.f64 (PI.f64) 2/3 (*.f64 1/3 (acos.f64 (/.f64 g h))))
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(fma.f64 1 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))
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(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) 2/3) (.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) 2) (.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) 1/3) (.f64 2/3 (PI.f64)))
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(fma.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) 2) (*.f64 2/3 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) 2) (cbrt.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 2/3) (.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) (.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) 1/3) (.f64 2/3 (PI.f64)))
(fma.f64 (sqrt.f64 (.f64 2/3 (PI.f64))) (sqrt.f64 (.f64 2/3 (PI.f64))) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sqrt.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
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(fma.f64 (.f64 2/3 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 1/3 (acos.f64 (/.f64 g h))))
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(fma.f64 (.f64 1/3 (sqrt.f64 (acos.f64 (/.f64 g h)))) (sqrt.f64 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))

Outputs
(+.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))) (fma.f64 (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))))))
(+.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))) (fma.f64 (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))))))
(+.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (+.f64 (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 0 (sin.f64 (.f64 2/3 (PI.f64)))) (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 2/3 (PI.f64)))))
(+.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 2/3 (PI.f64)))) (neg.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))))))
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(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 1 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) 2/3) (.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) 2) (.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) 1/3) (.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (cbrt.f64 (.f64 2/3 (PI.f64))) (pow.f64 (cbrt.f64 (.f64 2/3 (PI.f64))) 2) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2/3 (PI.f64))) 2) (cbrt.f64 (.f64 2/3 (PI.f64))) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) 2) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) 2) (cbrt.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 2/3) (.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) (.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) 1/3) (.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (sqrt.f64 (.f64 2/3 (PI.f64))) (sqrt.f64 (.f64 2/3 (PI.f64))) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sqrt.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (.f64 2/3 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (.f64 2/3 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (.f64 1/3 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) 2)) (cbrt.f64 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (.f64 1/3 (sqrt.f64 (acos.f64 (/.f64 g h)))) (sqrt.f64 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))

eval95.0ms (2.3%)

Compiler: Compiled 5106 to 3562 computations (30.2% saved)

prune28.0ms (0.7%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	169	5	174

Error

0.0b

Counts

174 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(.f64 2 (.f64 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))) 3))
✓	0.9b	(.f64 2 (.f64 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))))) 3))
✓	1.0b	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓	1.8b	(.f64 2 (cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))
✓	1.0b	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Compiler

Compiled 85 to 75 computations (11.8% saved)

regimes44.0ms (1.1%)

Counts

6 → 1

Calls

Call 1

Inputs
(.f64 2 (cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))
(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (.f64 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))))) 3))
(.f64 2 (.f64 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))) 3))

Outputs
(.f64 2 (.f64 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))) 3))

Calls

9 calls:

5.0ms	(/.f64 (neg.f64 g) h)
5.0ms	h
4.0ms	(neg.f64 g)
4.0ms	g
2.0ms	(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Results

Error	Segments	Branch
0.8b	1	`g`
0.8b	1	`h`
0.8b	1	`(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))`
0.8b	1	`(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))`
0.8b	1	`(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))`
0.8b	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)`
0.8b	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
0.8b	1	`(/.f64 (neg.f64 g) h)`
0.8b	1	`(neg.f64 g)`

Compiler

Compiled 174 to 132 computations (24.1% saved)

regimes30.0ms (0.7%)

Counts

5 → 1

Calls

Call 1

Inputs
(.f64 2 (cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))
(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (.f64 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))))) 3))

Outputs
(.f64 2 (.f64 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))))) 3))

Calls

9 calls:

4.0ms	(neg.f64 g)
4.0ms	(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
4.0ms	h
4.0ms	g
3.0ms	(/.f64 (neg.f64 g) h)

Results

Error	Segments	Branch
0.9b	1	`g`
0.9b	1	`h`
0.9b	1	`(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))`
0.9b	1	`(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))`
0.9b	1	`(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))`
0.9b	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)`
0.9b	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
0.9b	1	`(/.f64 (neg.f64 g) h)`
0.9b	1	`(neg.f64 g)`

Compiler

Compiled 157 to 120 computations (23.6% saved)

regimes27.0ms (0.6%)

Counts

4 → 1

Calls

Call 1

Inputs
(.f64 2 (cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))
(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Outputs
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Calls

9 calls:

4.0ms	(neg.f64 g)
4.0ms	h
4.0ms	g
3.0ms	(/.f64 (neg.f64 g) h)
3.0ms	(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))

Results

Error	Segments	Branch
1.0b	1	`g`
1.0b	1	`h`
1.0b	1	`(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))`
1.0b	1	`(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))`
1.0b	1	`(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))`
1.0b	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)`
1.0b	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
1.0b	1	`(/.f64 (neg.f64 g) h)`
1.0b	1	`(neg.f64 g)`

Compiler

Compiled 139 to 107 computations (23% saved)

regimes25.0ms (0.6%)

Accuracy

Total -0.8b remaining (-82%)

Threshold costs -0.8b (-82%)

Counts

3 → 1

Calls

Call 1

Inputs

(*.f64 2 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))

(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Outputs
(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Calls

9 calls:

3.0ms	(neg.f64 g)
3.0ms	g
3.0ms	h
3.0ms	(/.f64 (neg.f64 g) h)
3.0ms	(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))

Results

Error	Segments	Branch
1.0b	1	`g`
1.0b	1	`h`
1.0b	1	`(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))`
1.0b	1	`(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))`
1.0b	1	`(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))`
1.0b	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)`
1.0b	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
1.0b	1	`(/.f64 (neg.f64 g) h)`
1.0b	1	`(neg.f64 g)`

Compiler

Compiled 126 to 100 computations (20.6% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	123
1	57	123
2	61	123
3	64	123
4	65	123

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 2 (.f64 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))) 3))
(.f64 2 (.f64 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))))) 3))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))

Outputs
(.f64 2 (.f64 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))) 3))
(.f64 2 (.f64 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))))) 3))
(.f64 2 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (/.f64 g h))))))))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))
(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h))))))

Compiler

Compiled 85 to 75 computations (11.8% saved)

soundness92.0ms (2.2%)

Algorithm

2×	egg-herbie

Rules

532×	`fma-def_binary64`
328×	`log-prod_binary64`
292×	`unswap-sqr_binary64`
237×	`distribute-rgt-in_binary64`
227×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	26	23
2	40	21
3	51	21
4	58	21
5	70	21
6	82	21
7	98	21
0	180	2298
1	397	2150
2	1196	2019
3	4830	2019

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 307 to 265 computations (13.7% saved)

end49.0ms (1.2%)

Compiler: Compiled 77 to 56 computations (27.3% saved)

Details

analyze146.0ms (3.5%)

sample1.9s (44.7%)

preprocess22.0ms (0.5%)

simplify8.0ms (0.2%)

eval2.0ms (0%)

prune2.0ms (0%)

localize25.0ms (0.6%)

series11.0ms (0.3%)

rewrite79.0ms (1.9%)

simplify110.0ms (2.6%)

localize22.0ms (0.5%)

series7.0ms (0.2%)

rewrite64.0ms (1.5%)

simplify73.0ms (1.8%)

eval199.0ms (4.8%)

prune54.0ms (1.3%)

localize43.0ms (1%)

series6.0ms (0.1%)

rewrite75.0ms (1.8%)

simplify106.0ms (2.5%)

localize55.0ms (1.3%)

series153.0ms (3.7%)

rewrite84.0ms (2%)

simplify88.0ms (2.1%)

eval181.0ms (4.3%)

prune62.0ms (1.5%)

localize56.0ms (1.4%)

series6.0ms (0.1%)

rewrite79.0ms (1.9%)

simplify94.0ms (2.2%)

eval95.0ms (2.3%)

prune28.0ms (0.7%)

regimes44.0ms (1.1%)

regimes30.0ms (0.7%)

regimes27.0ms (0.6%)

regimes25.0ms (0.6%)

simplify7.0ms (0.2%)

soundness92.0ms (2.2%)

end49.0ms (1.2%)

Profiling