Details

analyze99.0ms (0.9%)

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)

sample2.0s (18%)

Results

1.8s	8256×	body	256	valid
158.0ms	1085×	body	256	invalid

Bogosity

preprocess64.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

1382×	`rational_best-simplify-61`
990×	`rational_best-simplify-3`
748×	`rational_best-simplify-62`
576×	`rational_best-simplify-53`
562×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	102
1	98	102
2	608	102
3	4249	102
0	2	2

Stop Event

1×	saturated
1×	node limit

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

Compiler

Compiled 20 to 18 computations (10% saved)

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

870×	`rational_best-simplify-61`
842×	`rational_best-simplify-65`
834×	`rational_best-simplify-96`
642×	`rational_best-simplify-3`
612×	`rational_best-simplify-111`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	51
1	64	51
2	374	51
3	2495	51

Stop Event

1×	node limit

Counts

1 → 2

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

eval1.0ms (0%)

Compiler: Compiled 34 to 29 computations (14.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

1.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize26.0ms (0.2%)

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

Compiler

Compiled 76 to 41 computations (46.1% saved)

series27.0ms (0.2%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
21.0ms	g	@	0	(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0ms	h	@	-inf	(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0ms	g	@	inf	(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0ms	g	@	-inf	(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0ms	h	@	inf	(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))

rewrite81.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`rational_best-simplify-61`
832×	`rational_best-simplify-65`
828×	`rational_best-simplify-96`
614×	`rational_best-simplify-3`
600×	`rational_best-simplify-111`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	122
1	62	122
2	369	122
3	2456	122

Stop Event

1×	node limit

Counts

4 → 47

Calls

Call 1

Inputs
(/.f64 (*.f64 2 (PI.f64)) 3)
(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.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 (/.f64 (.f64 2 (PI.f64)) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (.f64 2 (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 2 (PI.f64)) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (.f64 2 (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 2 (PI.f64)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (/.f64 (.f64 2 (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 (.f64 2 (PI.f64)) 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 2 (PI.f64)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (.f64 2 (PI.f64)) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (neg.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (neg.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (neg.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (neg.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (neg.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (neg.f64 (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (neg.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (neg.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (neg.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (neg.f64 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 0) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (.f64 (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) 0) (/.f64 (.f64 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) 0) (/.f64 (.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 2 (PI.f64)) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (neg.f64 (/.f64 (.f64 2 (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (neg.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (neg.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (neg.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (-.f64 (neg.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (.f64 2 (PI.f64)) 3)) 0) (/.f64 (-.f64 (/.f64 (.f64 (acos.f64 (/.f64 g (neg.f64 h))) (acos.f64 (/.f64 g (neg.f64 h)))) 9) (/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 (PI.f64) 4)) 36)) (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (.f64 2 (PI.f64)) 3))) (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (/.f64 (.f64 2 (PI.f64)) 3)) 0) (/.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (/.f64 (.f64 2 (PI.f64)) 3)) (/.f64 (.f64 2 (PI.f64)) 3)) (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) 0) (/.f64 (.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) 0) (/.f64 (-.f64 (/.f64 (.f64 (acos.f64 (/.f64 g (neg.f64 h))) (acos.f64 (/.f64 g (neg.f64 h)))) 9) (/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 (PI.f64) 4)) 36)) (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (.f64 2 (PI.f64)) 3))) (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 (.f64 2 (PI.f64)) 3) 0) (/.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (/.f64 (.f64 2 (PI.f64)) 3)) (/.f64 (.f64 2 (PI.f64)) 3)) (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) 0) (/.f64 (.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))))

simplify168.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1178×	`rational_best-simplify-61`
1134×	`rational_best-simplify-65`
836×	`rational_best-simplify-3`
508×	`rational_best-simplify-53`
494×	`rational_best-simplify-62`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	132	4429
1	623	4285
2	3971	4285

Stop Event

1×	node limit

Counts

119 → 61

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))))
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(if (!=.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) 0) (/.f64 (.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
(cos.f64 (+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(-.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (neg.f64 (/.f64 (*.f64 2 (PI.f64)) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(-.f64 0 (-.f64 (neg.f64 (/.f64 (*.f64 2 (PI.f64)) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(.f64 -1 (-.f64 (neg.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(.f64 (-.f64 (neg.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) -1)
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(/.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) 1)
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 2 (PI.f64)) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) -1)
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(/.f64 (+.f64 (-.f64 (neg.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (-.f64 (neg.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) -2)
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(neg.f64 (-.f64 (neg.f64 (/.f64 (*.f64 2 (PI.f64)) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(if (!=.f64 (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (.f64 2 (PI.f64)) 3)) 0) (/.f64 (-.f64 (/.f64 (.f64 (acos.f64 (/.f64 g (neg.f64 h))) (acos.f64 (/.f64 g (neg.f64 h)))) 9) (/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 (PI.f64) 4)) 36)) (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (.f64 2 (PI.f64)) 3))) (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))
(if (!=.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3)) 0) (/.f64 (-.f64 (/.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (acos.f64 (/.f64 (neg.f64 g) h))) 9) (/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 (PI.f64) 4)) 36)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3))) (+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(if (!=.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3)) 0) (/.f64 (-.f64 (/.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (acos.f64 (/.f64 (neg.f64 g) h))) 9) (/.f64 (.f64 (PI.f64) (.f64 4 (.f64 (PI.f64) 4))) 36)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3))) (+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(if (!=.f64 (neg.f64 (/.f64 (.f64 2 (PI.f64)) 3)) 0) (/.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (/.f64 (.f64 2 (PI.f64)) 3)) (/.f64 (.f64 2 (PI.f64)) 3)) (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(if (!=.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) 0) (/.f64 (.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(if (!=.f64 (-.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) 0) (/.f64 (-.f64 (/.f64 (.f64 (acos.f64 (/.f64 g (neg.f64 h))) (acos.f64 (/.f64 g (neg.f64 h)))) 9) (/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 (PI.f64) 4)) 36)) (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (.f64 2 (PI.f64)) 3))) (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))
(if (!=.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 0) (/.f64 (-.f64 (/.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (acos.f64 (/.f64 (neg.f64 g) h))) 9) (/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 (PI.f64) 4)) 36)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3))) (+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(if (!=.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 0) (/.f64 (-.f64 (/.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (acos.f64 (/.f64 (neg.f64 g) h))) 9) (/.f64 (.f64 (PI.f64) (.f64 4 (.f64 (PI.f64) 4))) 36)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3))) (+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(if (!=.f64 (/.f64 (.f64 2 (PI.f64)) 3) 0) (/.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (/.f64 (.f64 2 (PI.f64)) 3)) (/.f64 (.f64 2 (PI.f64)) 3)) (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(if (!=.f64 (neg.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) 0) (/.f64 (.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) 0)
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
(-.f64 0 (neg.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
(*.f64 -1 (neg.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
(*.f64 (neg.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) -1)
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
(neg.f64 (neg.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

eval38.0ms (0.3%)

Compiler: Compiled 1914 to 1212 computations (36.7% saved)

prune61.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	57	4	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	5	62

Error

1.0b

Counts

62 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	48.4b	(.f64 2 (if (!=.f64 (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 0) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (.f64 (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
▶	1.0b	(.f64 2 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (*.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
▶	1.0b	(.f64 2 (cos.f64 (if (!=.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 0) (/.f64 (-.f64 (/.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (acos.f64 (/.f64 (neg.f64 g) h))) 9) (/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 (PI.f64) 4)) 36)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3))) (+.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
✓	1.0b	(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
▶	1.0b	(.f64 2 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))

Compiler

Compiled 287 to 199 computations (30.7% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 67 to 32 computations (52.2% saved)

series5.0ms (0%)

Counts

4 → 12

Calls

18 calls:

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

rewrite126.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

488×	`rational_best-simplify-124`
478×	`rational_best-simplify-126`
478×	`rational_best-simplify-127`
454×	`rational_best-simplify-61`
446×	`rational_best-simplify-96`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	104
1	42	104
2	203	104
3	1241	104

Stop Event

1×	node limit

Counts

4 → 63

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 2/3 (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (PI.f64) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) -2/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (PI.f64) -2/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (cos.f64 (.f64 2/3 (PI.f64)))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (neg.f64 (sin.f64 (.f64 2/3 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (neg.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (cos.f64 (.f64 2/3 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (neg.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (neg.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (neg.f64 (cos.f64 (.f64 2/3 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simplify104.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

694×	`rational_best-simplify-1`
514×	`rational_best-simplify-18`
418×	`rational_best-simplify-124`
410×	`rational_best-simplify-96`
402×	`rational_best-simplify-126`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	196	2749
1	1110	2705
2	7562	2705

Stop Event

1×	node limit

Counts

75 → 75

Calls

Call 1

Inputs
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Outputs
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(if (!=.f64 (.f64 (PI.f64) -2/3) 0) (/.f64 (.f64 2/3 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (PI.f64))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
(if (!=.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 (PI.f64) -2/3)) 0) (/.f64 (-.f64 (.f64 (.f64 2/3 (PI.f64)) (.f64 2/3 (PI.f64))) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) (.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) 1/3))) (-.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
(if (!=.f64 (+.f64 (.f64 (PI.f64) -2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 0) (/.f64 (-.f64 (.f64 (.f64 2/3 (PI.f64)) (.f64 2/3 (PI.f64))) (.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (-.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
(if (!=.f64 (+.f64 (.f64 (PI.f64) -2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 0) (/.f64 (-.f64 (.f64 (.f64 2/3 (PI.f64)) (.f64 2/3 (PI.f64))) (pow.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) 2)) (+.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
(if (!=.f64 (+.f64 (-.f64 (.f64 (PI.f64) -2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 0) 0) (/.f64 (-.f64 0 (.f64 (-.f64 (.f64 (PI.f64) -2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (-.f64 (.f64 (PI.f64) -2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) (+.f64 (-.f64 (.f64 (PI.f64) -2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 0)) (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(if (!=.f64 (-.f64 (.f64 (PI.f64) -2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 0) (/.f64 (-.f64 (.f64 (-.f64 (.f64 (PI.f64) -2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 0) (.f64 (-.f64 (.f64 (PI.f64) -2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (-.f64 (.f64 (PI.f64) -2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) (-.f64 (.f64 (PI.f64) -2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))

localize169.0ms (1.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(cos.f64 (if (!=.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 0) (/.f64 (-.f64 (/.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (acos.f64 (/.f64 (neg.f64 g) h))) 9) (/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 (PI.f64) 4)) 36)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3))) (+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓	1.0b	(-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3))
✓	1.0b	(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
✓	1.0b	(/.f64 (*.f64 (PI.f64) 2) 3)

Compiler

Compiled 396 to 204 computations (48.5% saved)

series9.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	g	@	0	(cos.f64 (if (!=.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 0) (/.f64 (-.f64 (/.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (acos.f64 (/.f64 (neg.f64 g) h))) 9) (/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 (PI.f64) 4)) 36)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3))) (+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
1.0ms	g	@	-inf	(cos.f64 (if (!=.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 0) (/.f64 (-.f64 (/.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (acos.f64 (/.f64 (neg.f64 g) h))) 9) (/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 (PI.f64) 4)) 36)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3))) (+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
1.0ms	g	@	inf	(cos.f64 (if (!=.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 0) (/.f64 (-.f64 (/.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (acos.f64 (/.f64 (neg.f64 g) h))) 9) (/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 (PI.f64) 4)) 36)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3))) (+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
1.0ms	h	@	inf	(cos.f64 (if (!=.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 0) (/.f64 (-.f64 (/.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (acos.f64 (/.f64 (neg.f64 g) h))) 9) (/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 (PI.f64) 4)) 36)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3))) (+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
1.0ms	h	@	-inf	(cos.f64 (if (!=.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 0) (/.f64 (-.f64 (/.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (acos.f64 (/.f64 (neg.f64 g) h))) 9) (/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 (PI.f64) 4)) 36)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3))) (+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

rewrite125.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

894×	`rational_best-simplify-1`
708×	`rational_best-simplify-21`
704×	`rational_best-simplify-18`
702×	`rational_best-simplify-20`
666×	`rational_best-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	312
1	156	312
2	976	306
3	6484	306

Stop Event

1×	node limit

Counts

4 → 55

Calls

Call 1

Inputs
(/.f64 (*.f64 (PI.f64) 2) 3)
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3))
(cos.f64 (if (!=.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 0) (/.f64 (-.f64 (/.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (acos.f64 (/.f64 (neg.f64 g) h))) 9) (/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 (PI.f64) 4)) 36)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3))) (+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (PI.f64) 2) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (.f64 (PI.f64) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (PI.f64) 2) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (.f64 (PI.f64) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (/.f64 (.f64 (PI.f64) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 (.f64 (PI.f64) 2) 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (PI.f64) 2) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (.f64 (PI.f64) 2) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (/.f64 (.f64 (PI.f64) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (.f64 (PI.f64) 2) 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (.f64 (PI.f64) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) 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()

simplify123.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

984×	`rational_best-simplify-3`
728×	`rational_best-simplify-53`
546×	`rational_best-simplify-1`
406×	`rational_best-simplify-21`
406×	`rational_best-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	165	8071
1	826	7783
2	5858	7783

Stop Event

1×	node limit

Counts

127 → 65

Calls

Call 1

Inputs
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Outputs
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(.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) -1)
(-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (*.f64 (PI.f64) 2) 3))
(.f64 -1 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))
(-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (*.f64 (PI.f64) 2) 3))
(.f64 1 (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (.f64 (PI.f64) 2) 3)))
(-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (*.f64 (PI.f64) 2) 3))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) -1)
(-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (*.f64 (PI.f64) 2) 3))
(/.f64 (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (*.f64 (PI.f64) 2) 3)) 1)
(-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (*.f64 (PI.f64) 2) 3))
(/.f64 (+.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) -2)
(-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (*.f64 (PI.f64) 2) 3))
(/.f64 (-.f64 (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (.f64 (PI.f64) 2) 3)) (.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (-.f64 1 (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (*.f64 (PI.f64) 2) 3))))
(-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (*.f64 (PI.f64) 2) 3))
(pow.f64 (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (*.f64 (PI.f64) 2) 3)) 1)
(-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (*.f64 (PI.f64) 2) 3))
(neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))
(-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (*.f64 (PI.f64) 2) 3))
(if (!=.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) 0) (/.f64 (.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (.f64 (PI.f64) 2) 3))) (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (.f64 (PI.f64) 2) 3)))
(-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (*.f64 (PI.f64) 2) 3))
(if (!=.f64 (+.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) 0) (/.f64 (-.f64 (/.f64 (.f64 (acos.f64 (/.f64 g (neg.f64 h))) (acos.f64 (/.f64 g (neg.f64 h)))) 9) (/.f64 (.f64 (.f64 (PI.f64) 2) (.f64 (PI.f64) 2)) 9)) (+.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (*.f64 (PI.f64) 2) 3))
(if (!=.f64 (/.f64 (.f64 (PI.f64) 2) 3) 0) (/.f64 (.f64 (/.f64 (.f64 (PI.f64) 2) 3) (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (.f64 (PI.f64) 2) 3))) (/.f64 (.f64 (PI.f64) 2) 3)) (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (.f64 (PI.f64) 2) 3)))
(-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (*.f64 (PI.f64) 2) 3))
(if (!=.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) 0) (/.f64 (.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (.f64 (PI.f64) 2) 3))) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (*.f64 (PI.f64) 2) 3))
(if (!=.f64 (neg.f64 (/.f64 (.f64 (PI.f64) 2) 3)) 0) (/.f64 (-.f64 (/.f64 (.f64 (.f64 (PI.f64) 2) (.f64 (PI.f64) 2)) 9) (.f64 (neg.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (neg.f64 (/.f64 (.f64 (PI.f64) 2) 3)))) (neg.f64 (/.f64 (.f64 (PI.f64) 2) 3))) (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (.f64 (PI.f64) 2) 3)))
(-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (*.f64 (PI.f64) 2) 3))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) 0)) 0) (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (*.f64 (PI.f64) 2) 3))
(if (!=.f64 (-.f64 (neg.f64 (/.f64 (.f64 (PI.f64) 2) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) 0) (/.f64 (-.f64 (/.f64 (.f64 (.f64 (PI.f64) 2) (.f64 (PI.f64) 2)) 9) (.f64 (neg.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (neg.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (-.f64 (neg.f64 (/.f64 (.f64 (PI.f64) 2) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (*.f64 (PI.f64) 2) 3))
(if (!=.f64 (neg.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) 0) (/.f64 (-.f64 (.f64 (neg.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (neg.f64 (/.f64 (.f64 (PI.f64) 2) 3))) (.f64 (neg.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (neg.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (neg.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (.f64 (PI.f64) 2) 3)))
(-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (*.f64 (PI.f64) 2) 3))
(if (!=.f64 -1 0) (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (.f64 (PI.f64) 2) 3)) (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (.f64 (PI.f64) 2) 3)))
(-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (*.f64 (PI.f64) 2) 3))

localize63.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)
	1.0b	(/.f64 (*.f64 2 (PI.f64)) 3)
✓	1.0b	(sin.f64 (/.f64 (*.f64 2 (PI.f64)) 3))
✓	1.6b	(cos.f64 (/.f64 (*.f64 2 (PI.f64)) 3))

Compiler

Compiled 155 to 90 computations (41.9% saved)

series2.0ms (0%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	g	@	0	(/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)
0.0ms	g	@	inf	(/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)
0.0ms	g	@	-inf	(/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)
0.0ms	h	@	inf	(/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)
0.0ms	h	@	-inf	(/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)

rewrite59.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`rational_best-simplify-113`
756×	`rational_best-simplify-61`
746×	`rational_best-simplify-65`
722×	`rational_best-simplify-96`
548×	`rational_best-simplify-111`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	59
1	55	59
2	327	59
3	2178	59

Stop Event

1×	node limit

Counts

3 → 4

Calls

Call 1

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

Outputs

()

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 (/.f64 (*.f64 2 (PI.f64)) 3)))) (neg.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 (/.f64 (*.f64 2 (PI.f64)) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 (/.f64 (*.f64 2 (PI.f64)) 3)))) (*.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 (/.f64 (*.f64 2 (PI.f64)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 (/.f64 (*.f64 2 (PI.f64)) 3)))) (*.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 (/.f64 (*.f64 2 (PI.f64)) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (*.f64 2 (PI.f64)) 3)))))))

()

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

880×	`rational_best-simplify-53`
742×	`rational_best-simplify-1`
688×	`rational_best-simplify-52`
548×	`rational_best-simplify-21`
546×	`rational_best-simplify-18`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	628
1	144	580
2	817	580
3	5318	580

Stop Event

1×	node limit

Counts

28 → 7

Calls

Call 1

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

Outputs
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(+.f64 (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 (/.f64 (.f64 2 (PI.f64)) 3)))) (neg.f64 (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 (/.f64 (.f64 2 (PI.f64)) 3))))))
(sin.f64 (/.f64 (*.f64 (PI.f64) 2) 3))
(-.f64 (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 (/.f64 (.f64 2 (PI.f64)) 3)))) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 (/.f64 (.f64 2 (PI.f64)) 3)))))
(sin.f64 (/.f64 (*.f64 (PI.f64) 2) 3))
(neg.f64 (-.f64 (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 (/.f64 (.f64 2 (PI.f64)) 3)))) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 (/.f64 (.f64 2 (PI.f64)) 3))))))
(sin.f64 (/.f64 (*.f64 (PI.f64) 2) 3))
(cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (*.f64 2 (PI.f64)) 3)))
(sin.f64 (/.f64 (*.f64 (PI.f64) 2) 3))

localize329.0ms (3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(sin.f64 (/.f64 (*.f64 2 (PI.f64)) 3))
✓	1.6b	(cos.f64 (/.f64 (*.f64 2 (PI.f64)) 3))
✓	59.7b	(+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
✓	59.7b	(-.f64 (.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (.f64 (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))

Compiler

Compiled 691 to 422 computations (38.9% saved)

series48.0ms (0.4%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
30.0ms	g	@	0	(-.f64 (.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (.f64 (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
5.0ms	g	@	-inf	(-.f64 (.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (.f64 (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
4.0ms	h	@	inf	(-.f64 (.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (.f64 (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
2.0ms	g	@	inf	(-.f64 (.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (.f64 (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
2.0ms	h	@	-inf	(-.f64 (.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (.f64 (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))

rewrite135.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1468×	`rational_best-simplify-61`
1234×	`rational_best-simplify-3`
592×	`rational_best-simplify-53`
586×	`rational_best-simplify-52`
584×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	333
1	107	333
2	638	333
3	4302	333

Stop Event

1×	node limit

Counts

3 → 36

Calls

Call 1

Inputs

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

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

(cos.f64 (/.f64 (*.f64 2 (PI.f64)) 3))

Outputs

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()

simplify220.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1298×	`rational_best-simplify-61`
1232×	`rational_best-simplify-65`
1066×	`rational_best-simplify-3`
634×	`rational_best-simplify-62`
550×	`rational_best-simplify-53`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	147	10812
1	651	10212
2	4128	10212

Stop Event

1×	node limit

Counts

84 → 46

Calls

Call 1

Inputs
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(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
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(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
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(-.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (neg.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
(-.f64 (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (neg.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)))))
(-.f64 0 (-.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (neg.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
(.f64 -1 (-.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (neg.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)))) (.f64 (sin.f64 (/.f64 (*.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
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(/.f64 (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 1)
(/.f64 (-.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (neg.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) -1)
(neg.f64 (-.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (neg.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
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(if (!=.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (neg.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)))) 0) (/.f64 (.f64 (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (*.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
(if (!=.f64 (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) 0) (/.f64 (+.f64 (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
(if (!=.f64 (neg.f64 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 0) (/.f64 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
(if (!=.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) 0) (/.f64 (.f64 (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (*.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
(if (!=.f64 (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (neg.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 0) (/.f64 (+.f64 (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))

Outputs
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
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(if (!=.f64 (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (neg.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 0) (/.f64 (+.f64 (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
(-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) 2) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) 2) 3)) (neg.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
(+.f64 (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) 2) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) 2) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))

eval383.0ms (3.5%)

Compiler: Compiled 26028 to 15964 computations (38.7% saved)

prune73.0ms (0.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	263	8	271
Fresh	0	0	0
Picked	1	0	1
Done	2	2	4
Total	266	10	276

Error

1.0b

Counts

276 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	48.5b	(.f64 2 (if (!=.f64 (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
	48.7b	(.f64 2 (if (!=.f64 (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 0) (/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2))) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
▶	49.1b	(.f64 2 (if (!=.f64 (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 0) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (.f64 (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (if (!=.f64 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) 0) (/.f64 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
	1.0b	(.f64 2 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
	1.0b	(.f64 2 (cos.f64 (if (!=.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 0) (/.f64 (-.f64 (/.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (acos.f64 (/.f64 (neg.f64 g) h))) 9) (/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 (PI.f64) 4)) 36)) (if (!=.f64 (neg.f64 (/.f64 (.f64 (PI.f64) 2) 3)) 0) (/.f64 (-.f64 (/.f64 (.f64 (.f64 (PI.f64) 2) (.f64 (PI.f64) 2)) 9) (.f64 (neg.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (neg.f64 (/.f64 (.f64 (PI.f64) 2) 3)))) (neg.f64 (/.f64 (.f64 (PI.f64) 2) 3))) (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (.f64 (PI.f64) 2) 3)))) (+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
▶	1.0b	(.f64 2 (cos.f64 (if (!=.f64 (+.f64 (.f64 (PI.f64) -2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 0) (/.f64 (-.f64 (.f64 (.f64 2/3 (PI.f64)) (.f64 2/3 (PI.f64))) (pow.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) 2)) (+.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))
▶	1.0b	(.f64 2 (cos.f64 (if (!=.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)) 0) (/.f64 (+.f64 (.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2)) (.f64 (pow.f64 (PI.f64) 2) -4/9)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 (PI.f64) -2/3))) (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))
▶	1.0b	(.f64 2 (cos.f64 (if (!=.f64 (.f64 (PI.f64) -2/3) 0) (/.f64 (.f64 2/3 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (PI.f64))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))
✓	1.0b	(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓	1.0b	(.f64 2 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))

Compiler

Compiled 1598 to 1106 computations (30.8% saved)

localize92.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 317 to 168 computations (47% saved)

series2.0ms (0%)

Counts

3 → 24

Calls

6 calls:

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

rewrite135.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`rational_best-simplify-1`
644×	`rational_best-simplify-18`
642×	`rational_best-simplify-21`
626×	`rational_best-simplify-20`
552×	`rational_best-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	67
1	41	67
2	175	67
3	998	61
4	6608	61

Stop Event

1×	node limit

Counts

3 → 56

Calls

Call 1

Inputs
(*.f64 (PI.f64) -2/3)
(.f64 (.f64 2/3 (PI.f64)) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.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 (*.f64 (PI.f64) -2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (PI.f64) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) -2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) 2/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) -2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (PI.f64) 2/3) (*.f64 (PI.f64) 2/3)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (-.f64 -2/3 (*.f64 (PI.f64) 4/9))) (-.f64 1 (*.f64 (PI.f64) -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (*.f64 (PI.f64) 2/3) (*.f64 (PI.f64) 2/3)) (+.f64 (*.f64 (PI.f64) 2/3) (*.f64 (PI.f64) 2/3))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (PI.f64) (-.f64 -2/3 (*.f64 (PI.f64) 4/9))) (*.f64 (PI.f64) (-.f64 -2/3 (*.f64 (PI.f64) 4/9)))) (+.f64 (-.f64 1 (*.f64 (PI.f64) -2/3)) (-.f64 1 (*.f64 (PI.f64) -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -2 (+.f64 (*.f64 (PI.f64) 2/3) (*.f64 (PI.f64) 2/3))) (*.f64 (+.f64 (*.f64 (PI.f64) 2/3) (*.f64 (PI.f64) 2/3)) (+.f64 (*.f64 (PI.f64) 2/3) (*.f64 (PI.f64) 2/3)))) (-.f64 4 (*.f64 -2 (+.f64 (*.f64 (PI.f64) 2/3) (*.f64 (PI.f64) 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 1 (*.f64 (PI.f64) -2/3)) (*.f64 (PI.f64) (-.f64 -2/3 (*.f64 (PI.f64) 4/9)))) (*.f64 (*.f64 (PI.f64) (-.f64 -2/3 (*.f64 (PI.f64) 4/9))) (*.f64 (PI.f64) (-.f64 -2/3 (*.f64 (PI.f64) 4/9))))) (-.f64 (*.f64 (-.f64 1 (*.f64 (PI.f64) -2/3)) (-.f64 1 (*.f64 (PI.f64) -2/3))) (*.f64 (-.f64 1 (*.f64 (PI.f64) -2/3)) (*.f64 (PI.f64) (-.f64 -2/3 (*.f64 (PI.f64) 4/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) -2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (PI.f64) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) 1 (*.f64 (PI.f64) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (PI.f64) 2/3) 0) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 4/9)) (*.f64 (PI.f64) -2/3)) (*.f64 (PI.f64) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) (*.f64 (PI.f64) -2/3) (*.f64 (PI.f64) -2/3))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (*.f64 (PI.f64) 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 4/9)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 4/9)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 4/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) 4/9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 4/9)) (*.f64 (PI.f64) (*.f64 (PI.f64) 4/9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (PI.f64) 2/3) (*.f64 (PI.f64) 2/3)) (+.f64 (*.f64 (PI.f64) 2/3) (*.f64 (PI.f64) 2/3))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (PI.f64) (-.f64 -2/3 (*.f64 (PI.f64) 4/9))) (*.f64 (PI.f64) (-.f64 -2/3 (*.f64 (PI.f64) 4/9)))) (*.f64 (-.f64 1 (*.f64 (PI.f64) -2/3)) (-.f64 1 (*.f64 (PI.f64) -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1 (*.f64 (PI.f64) (*.f64 (PI.f64) 4/9))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 4/9)) (*.f64 (PI.f64) (*.f64 (PI.f64) 4/9)))) (-.f64 1 (*.f64 1 (*.f64 (PI.f64) (*.f64 (PI.f64) 4/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 4/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 (PI.f64) 2/3) (*.f64 2/3 (fabs.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 2/3 (fabs.f64 (PI.f64))) (*.f64 (PI.f64) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (-.f64 0 (*.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) 4/9)) 0)) 0) (*.f64 (PI.f64) (*.f64 (PI.f64) 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) 4/9)) 0) (/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 4/9)) (*.f64 (PI.f64) (*.f64 (PI.f64) 4/9)))) (*.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) 4/9))) (*.f64 (PI.f64) (*.f64 (PI.f64) 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) 4/9)) 0) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) 4/9)) 0) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 4/9)) (*.f64 (PI.f64) (*.f64 (PI.f64) 4/9)))) (*.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) 4/9))) (*.f64 (PI.f64) (*.f64 (PI.f64) 4/9)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3) (*.f64 (PI.f64) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (*.f64 (PI.f64) -2/3) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (*.f64 (PI.f64) -2/3) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (PI.f64) -2/3) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (PI.f64) -2/3) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (*.f64 (PI.f64) -2/3) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) 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simplify87.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1232×	`rational_best-simplify-3`
782×	`rational_best-simplify-53`
656×	`rational_best-simplify-1`
482×	`rational_best-simplify-21`
476×	`rational_best-simplify-18`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	164	2814
1	862	2720
2	5934	2682

Stop Event

1×	node limit

Counts

80 → 78

Calls

Call 1

Inputs
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(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
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(+.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)))
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(/.f64 (+.f64 (.f64 (PI.f64) (-.f64 -2/3 (.f64 (PI.f64) 4/9))) (.f64 (PI.f64) (-.f64 -2/3 (.f64 (PI.f64) 4/9)))) (+.f64 (-.f64 1 (.f64 (PI.f64) -2/3)) (-.f64 1 (.f64 (PI.f64) -2/3))))
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(/.f64 (+.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)) 1)
(/.f64 (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) -1)
(/.f64 (+.f64 (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))) -2)
(/.f64 (-.f64 (+.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)) (.f64 (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)))) (-.f64 1 (+.f64 (.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))))
(pow.f64 (+.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)) 1)
(neg.f64 (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)))
(if (!=.f64 (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3) (.f64 (PI.f64) -2/3)) 0) (/.f64 (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) (.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) 1/3)) (.f64 (PI.f64) (.f64 (PI.f64) 4/9))) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3) (.f64 (PI.f64) -2/3))) (+.f64 (.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(if (!=.f64 (.f64 (PI.f64) -2/3) 0) (/.f64 (.f64 (+.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)) (.f64 (PI.f64) 2/3)) (.f64 (PI.f64) 2/3)) (+.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) 0)) 0) (+.f64 (.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(if (!=.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3) 0) (/.f64 (.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3) (+.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)) (+.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(if (!=.f64 (+.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) 0) (/.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) 4/9)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) (.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) 1/3))) (+.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))) (+.f64 (.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(if (!=.f64 (.f64 (PI.f64) 2/3) 0) (/.f64 (.f64 (+.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)) (.f64 (PI.f64) 2/3)) (.f64 (PI.f64) 2/3)) (+.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(if (!=.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) 0) (/.f64 (.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3) (+.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)) (+.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(if (!=.f64 (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) 0) (/.f64 (neg.f64 (.f64 (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)))) (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))) (+.f64 (.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(if (!=.f64 (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) 0) (/.f64 (-.f64 (.f64 (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) 0) (.f64 (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)))) (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))) (+.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))

Outputs
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
(+.f64 (.f64 -1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
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(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
(+.f64 (.f64 -1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
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(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
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(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
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(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
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(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
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(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
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(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
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(*.f64 (PI.f64) -2/3)
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(-.f64 0 (*.f64 (PI.f64) 2/3))
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(/.f64 (*.f64 (PI.f64) 2/3) -1)
(*.f64 (PI.f64) -2/3)
(/.f64 (*.f64 (PI.f64) -2/3) 1)
(*.f64 (PI.f64) -2/3)
(/.f64 (+.f64 (.f64 (PI.f64) 2/3) (.f64 (PI.f64) 2/3)) -2)
(*.f64 (PI.f64) -2/3)
(/.f64 (.f64 (PI.f64) (-.f64 -2/3 (.f64 (PI.f64) 4/9))) (-.f64 1 (*.f64 (PI.f64) -2/3)))
(/.f64 (.f64 (PI.f64) (+.f64 -2/3 (.f64 (PI.f64) -4/9))) (+.f64 (*.f64 2/3 (PI.f64)) 1))
(/.f64 (+.f64 (+.f64 (.f64 (PI.f64) 2/3) (.f64 (PI.f64) 2/3)) (+.f64 (.f64 (PI.f64) 2/3) (.f64 (PI.f64) 2/3))) -4)
(*.f64 (PI.f64) -2/3)
(/.f64 (+.f64 (.f64 (PI.f64) (-.f64 -2/3 (.f64 (PI.f64) 4/9))) (.f64 (PI.f64) (-.f64 -2/3 (.f64 (PI.f64) 4/9)))) (+.f64 (-.f64 1 (.f64 (PI.f64) -2/3)) (-.f64 1 (.f64 (PI.f64) -2/3))))
(/.f64 (.f64 (PI.f64) (-.f64 -2/3 (.f64 (PI.f64) 4/9))) (-.f64 1 (*.f64 (PI.f64) -2/3)))
(/.f64 (.f64 (PI.f64) (+.f64 -2/3 (.f64 (PI.f64) -4/9))) (+.f64 (*.f64 2/3 (PI.f64)) 1))
(/.f64 (-.f64 (.f64 -2 (+.f64 (.f64 (PI.f64) 2/3) (.f64 (PI.f64) 2/3))) (.f64 (+.f64 (.f64 (PI.f64) 2/3) (.f64 (PI.f64) 2/3)) (+.f64 (.f64 (PI.f64) 2/3) (.f64 (PI.f64) 2/3)))) (-.f64 4 (.f64 -2 (+.f64 (.f64 (PI.f64) 2/3) (*.f64 (PI.f64) 2/3)))))
(*.f64 (PI.f64) -2/3)
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(/.f64 (.f64 (PI.f64) (-.f64 -2/3 (.f64 (PI.f64) 4/9))) (-.f64 1 (*.f64 (PI.f64) -2/3)))
(/.f64 (.f64 (PI.f64) (+.f64 -2/3 (.f64 (PI.f64) -4/9))) (+.f64 (*.f64 2/3 (PI.f64)) 1))
(pow.f64 (*.f64 (PI.f64) -2/3) 1)
(*.f64 (PI.f64) -2/3)
(neg.f64 (*.f64 (PI.f64) 2/3))
(*.f64 (PI.f64) -2/3)
(if (!=.f64 0 0) 1 (*.f64 (PI.f64) -2/3))
(*.f64 (PI.f64) -2/3)
(if (!=.f64 (.f64 (PI.f64) 2/3) 0) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) 4/9)) (.f64 (PI.f64) -2/3)) (*.f64 (PI.f64) -2/3))
(if (!=.f64 (.f64 2/3 (PI.f64)) 0) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) 4/9)) (.f64 (PI.f64) -2/3)) (*.f64 (PI.f64) -2/3))
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(if (!=.f64 -1 0) (.f64 (PI.f64) -2/3) (.f64 (PI.f64) -2/3))
(*.f64 (PI.f64) -2/3)
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(.f64 (PI.f64) (.f64 (PI.f64) 4/9))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) 4/9)) 0)
(+.f64 0 (.f64 (PI.f64) (.f64 (PI.f64) 4/9)))
(.f64 (PI.f64) (.f64 (PI.f64) 4/9))
(/.f64 (.f64 (PI.f64) (.f64 (PI.f64) 4/9)) 1)
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(.f64 (PI.f64) (.f64 (PI.f64) 4/9))
(/.f64 (.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) 4/9)) -1)
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(.f64 (PI.f64) (.f64 (PI.f64) 4/9))
(/.f64 (+.f64 (.f64 (PI.f64) (.f64 (PI.f64) 4/9)) (.f64 (PI.f64) (.f64 (PI.f64) 4/9))) 2)
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(.f64 (PI.f64) (.f64 (PI.f64) 4/9))
(/.f64 (.f64 (+.f64 (.f64 (PI.f64) 2/3) (.f64 (PI.f64) 2/3)) (+.f64 (.f64 (PI.f64) 2/3) (*.f64 (PI.f64) 2/3))) 4)
(/.f64 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 2/3 (PI.f64))) (+.f64 (.f64 2/3 (PI.f64)) (*.f64 2/3 (PI.f64)))) 4)
(/.f64 (.f64 (.f64 2/3 (-.f64 (PI.f64) (neg.f64 (PI.f64)))) (*.f64 2/3 (-.f64 (PI.f64) (neg.f64 (PI.f64))))) 4)
(pow.f64 (*.f64 (PI.f64) -2/3) 2)
(/.f64 (.f64 (.f64 (PI.f64) (-.f64 -2/3 (.f64 (PI.f64) 4/9))) (.f64 (PI.f64) (-.f64 -2/3 (.f64 (PI.f64) 4/9)))) (.f64 (-.f64 1 (.f64 (PI.f64) -2/3)) (-.f64 1 (.f64 (PI.f64) -2/3))))
(.f64 (/.f64 (.f64 (PI.f64) (-.f64 -2/3 (.f64 (PI.f64) 4/9))) (-.f64 1 (.f64 (PI.f64) -2/3))) (/.f64 (.f64 (PI.f64) (-.f64 -2/3 (.f64 (PI.f64) 4/9))) (-.f64 1 (*.f64 (PI.f64) -2/3))))
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(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) 4/9)) 1)
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(+.f64 0 (.f64 (PI.f64) (.f64 (PI.f64) 4/9)))
(.f64 (PI.f64) (.f64 (PI.f64) 4/9))
(if (!=.f64 (.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) 4/9)) 0) (/.f64 (neg.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) 4/9)) (.f64 (PI.f64) (.f64 (PI.f64) 4/9)))) (.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) 4/9))) (.f64 (PI.f64) (*.f64 (PI.f64) 4/9)))
(+.f64 0 (.f64 (PI.f64) (.f64 (PI.f64) 4/9)))
(.f64 (PI.f64) (.f64 (PI.f64) 4/9))
(if (!=.f64 (.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) 4/9)) 0) (/.f64 (-.f64 (.f64 (.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) 4/9)) 0) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) 4/9)) (.f64 (PI.f64) (.f64 (PI.f64) 4/9)))) (.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) 4/9))) (.f64 (PI.f64) (.f64 (PI.f64) 4/9)))
(+.f64 0 (.f64 (PI.f64) (.f64 (PI.f64) 4/9)))
(.f64 (PI.f64) (.f64 (PI.f64) 4/9))
(-.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
(-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3) (.f64 (PI.f64) -2/3))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
(-.f64 0 (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
(.f64 -1 (+.f64 (.f64 (PI.f64) -2/3) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
(.f64 (+.f64 (.f64 (PI.f64) -2/3) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) -1)
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
(/.f64 (+.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)) 1)
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
(/.f64 (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) -1)
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
(/.f64 (+.f64 (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))) -2)
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
(/.f64 (-.f64 (+.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)) (.f64 (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)))) (-.f64 1 (+.f64 (.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
(pow.f64 (+.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)) 1)
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
(neg.f64 (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
(if (!=.f64 (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3) (.f64 (PI.f64) -2/3)) 0) (/.f64 (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) (.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) 1/3)) (.f64 (PI.f64) (.f64 (PI.f64) 4/9))) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3) (.f64 (PI.f64) -2/3))) (+.f64 (.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(if (!=.f64 (+.f64 (.f64 (PI.f64) -2/3) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 0) (/.f64 (-.f64 (.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) (.f64 (PI.f64) (.f64 (PI.f64) 4/9))) (+.f64 (.f64 (PI.f64) -2/3) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (+.f64 (.f64 2/3 (PI.f64)) (*.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
(if (!=.f64 (+.f64 (.f64 (PI.f64) -2/3) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 0) (/.f64 (+.f64 (.f64 (PI.f64) (.f64 (PI.f64) -4/9)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/9))) (+.f64 (.f64 (PI.f64) -2/3) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)))
(if (!=.f64 (.f64 (PI.f64) -2/3) 0) (/.f64 (.f64 (+.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)) (.f64 (PI.f64) 2/3)) (.f64 (PI.f64) 2/3)) (+.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) 0)) 0) (+.f64 (.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
(if (!=.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3) 0) (/.f64 (.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3) (+.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)) (+.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
(if (!=.f64 (+.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) 0) (/.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) 4/9)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) (.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) 1/3))) (+.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))) (+.f64 (.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(if (!=.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) 0) (/.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) 4/9)) (.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))) (+.f64 (.f64 2/3 (PI.f64)) (*.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
(if (!=.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) 0) (/.f64 (+.f64 (.f64 (PI.f64) (.f64 (PI.f64) -4/9)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/9))) (+.f64 (.f64 (PI.f64) -2/3) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)))
(if (!=.f64 (.f64 (PI.f64) 2/3) 0) (/.f64 (.f64 (+.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)) (.f64 (PI.f64) 2/3)) (.f64 (PI.f64) 2/3)) (+.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
(if (!=.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) 0) (/.f64 (.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3) (+.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)) (+.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(if (!=.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) 0) (/.f64 (.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
(if (!=.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) 0) (/.f64 (.f64 -1/3 (.f64 (-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)))
(if (!=.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) 0) (/.f64 (.f64 -1/3 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) (-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)))) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)))
(if (!=.f64 (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) 0) (/.f64 (neg.f64 (.f64 (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)))) (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))) (+.f64 (.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))
(if (!=.f64 (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) 0) (/.f64 (-.f64 (.f64 (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) 0) (.f64 (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)))) (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))) (+.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))

localize61.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(cos.f64 (if (!=.f64 (.f64 (PI.f64) -2/3) 0) (/.f64 (.f64 2/3 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (PI.f64))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
✓	1.0b	(.f64 2/3 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (PI.f64)))
	1.0b	(*.f64 2/3 (PI.f64))
	1.0b	(*.f64 (PI.f64) -2/3)

Compiler

Compiled 210 to 118 computations (43.8% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

678×	`rational_best-simplify-61`
670×	`rational_best-simplify-65`
662×	`rational_best-simplify-111`
652×	`rational_best-simplify-3`
642×	`rational_best-simplify-96`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	168
1	61	168
2	296	168
3	1936	88

Stop Event

1×	node limit

Counts

2 → 19

Calls

Call 1

Inputs

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

(cos.f64 (if (!=.f64 (*.f64 (PI.f64) -2/3) 0) (/.f64 (*.f64 2/3 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (PI.f64))) (*.f64 2/3 (PI.f64))) (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/3 (*.f64 (PI.f64) (*.f64 2/3 (PI.f64)))) (*.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (*.f64 2/3 (*.f64 (PI.f64) (*.f64 2/3 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/3 (*.f64 (PI.f64) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (*.f64 2/3 (*.f64 (PI.f64) (*.f64 2/3 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2/3 (*.f64 (PI.f64) (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2/3 (*.f64 (PI.f64) (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (*.f64 2/3 (PI.f64)) (-.f64 (*.f64 (PI.f64) -2/3) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2/3 (*.f64 (PI.f64) (*.f64 2/3 (PI.f64)))) (*.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2/3 (*.f64 (PI.f64) (*.f64 2/3 (PI.f64)))) (*.f64 2/3 (*.f64 (PI.f64) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2/3 (*.f64 (PI.f64) (*.f64 2/3 (PI.f64)))) (*.f64 (PI.f64) (*.f64 2/3 (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (*.f64 2/3 (*.f64 (PI.f64) (*.f64 (PI.f64) -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2/3 (*.f64 (PI.f64) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (*.f64 2/3 (*.f64 (PI.f64) (*.f64 (PI.f64) -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 2/3 (PI.f64)) 0) (*.f64 (*.f64 2/3 (PI.f64)) (-.f64 (*.f64 (PI.f64) -2/3) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 (*.f64 (PI.f64) -2/3) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 0) (*.f64 (*.f64 2/3 (PI.f64)) (-.f64 (*.f64 (PI.f64) -2/3) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 0) (*.f64 (*.f64 2/3 (PI.f64)) (-.f64 (*.f64 (PI.f64) -2/3) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (*.f64 2/3 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (*.f64 2/3 (*.f64 (PI.f64) (*.f64 (PI.f64) -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2/3 (*.f64 (PI.f64) (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2/3 (PI.f64)) (-.f64 (*.f64 (PI.f64) -2/3) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 2/3 (PI.f64)) (-.f64 (*.f64 (PI.f64) -2/3) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 2/3 (-.f64 (*.f64 (PI.f64) -2/3) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (PI.f64)))))))

()

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1074×	`rational_best-simplify-113`
560×	`rational_best-simplify-3`
444×	`rational_best-simplify-124`
440×	`rational_best-simplify-61`
434×	`rational_best-simplify-126`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	82	3043
1	414	2785
2	2491	2785

Stop Event

1×	node limit

Counts

67 → 27

Calls

Call 1

Inputs
(.f64 2/3 (.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (PI.f64)))
(.f64 2/3 (.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (PI.f64)))
(.f64 2/3 (.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (PI.f64)))
(.f64 2/3 (.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (PI.f64)))
(.f64 2/3 (.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (PI.f64)))
(.f64 2/3 (.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (PI.f64)))
(.f64 2/3 (.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (PI.f64)))
(.f64 2/3 (.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (PI.f64)))
(.f64 2/3 (.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (PI.f64)))
(.f64 2/3 (.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (PI.f64)))
(.f64 2/3 (.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (PI.f64)))
(.f64 2/3 (.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (PI.f64)))
(.f64 2/3 (.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (PI.f64)))
(.f64 2/3 (.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (PI.f64)))
(.f64 2/3 (.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (PI.f64)))
(.f64 2/3 (.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (PI.f64)))
(.f64 2/3 (.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (PI.f64)))
(.f64 2/3 (.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (PI.f64)))
(.f64 2/3 (.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (PI.f64)))
(.f64 2/3 (.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (PI.f64)))
(.f64 2/3 (.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (PI.f64)))
(.f64 2/3 (.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (PI.f64)))
(.f64 2/3 (.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (PI.f64)))
(.f64 2/3 (.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (PI.f64)))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.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)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.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)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.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)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.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)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
(+.f64 (.f64 2/3 (.f64 (PI.f64) (.f64 2/3 (PI.f64)))) (.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
(+.f64 (.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 2/3 (.f64 (PI.f64) (.f64 2/3 (PI.f64)))))
(+.f64 (.f64 2/3 (.f64 (PI.f64) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (.f64 2/3 (.f64 (PI.f64) (.f64 2/3 (PI.f64)))))
(-.f64 (.f64 2/3 (.f64 (PI.f64) (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) 0)
(-.f64 (.f64 2/3 (.f64 (PI.f64) (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) (.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 0))
(-.f64 0 (.f64 (.f64 2/3 (PI.f64)) (-.f64 (.f64 (PI.f64) -2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(-.f64 (.f64 2/3 (.f64 (PI.f64) (.f64 2/3 (PI.f64)))) (.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(-.f64 (.f64 2/3 (.f64 (PI.f64) (.f64 2/3 (PI.f64)))) (.f64 2/3 (.f64 (PI.f64) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))))
(-.f64 (.f64 2/3 (.f64 (PI.f64) (.f64 2/3 (PI.f64)))) (.f64 (PI.f64) (.f64 2/3 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))))
(-.f64 (.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 2/3 (.f64 (PI.f64) (.f64 (PI.f64) -2/3))))
(-.f64 (.f64 2/3 (.f64 (PI.f64) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (.f64 2/3 (.f64 (PI.f64) (.f64 (PI.f64) -2/3))))
(-.f64 (.f64 (.f64 2/3 (PI.f64)) 0) (.f64 (.f64 2/3 (PI.f64)) (-.f64 (.f64 (PI.f64) -2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(-.f64 (.f64 (-.f64 (.f64 (PI.f64) -2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 0) (.f64 (.f64 2/3 (PI.f64)) (-.f64 (.f64 (PI.f64) -2/3) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(-.f64 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 0) (.f64 (.f64 2/3 (PI.f64)) (-.f64 (.f64 (PI.f64) -2/3) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(-.f64 (.f64 (PI.f64) (.f64 2/3 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (.f64 2/3 (.f64 (PI.f64) (.f64 (PI.f64) -2/3))))
(/.f64 (.f64 2/3 (.f64 (PI.f64) (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) 1)
(/.f64 (.f64 (.f64 2/3 (PI.f64)) (-.f64 (.f64 (PI.f64) -2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) -1)
(neg.f64 (.f64 (.f64 2/3 (PI.f64)) (-.f64 (.f64 (PI.f64) -2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(neg.f64 (.f64 (.f64 2/3 (-.f64 (.f64 (PI.f64) -2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (PI.f64)))

Outputs
(.f64 2/3 (.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (PI.f64)))
(.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 2/3 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9) (*.f64 (PI.f64) -4/9)))
(.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 4/9) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9)))
(.f64 2/3 (.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (PI.f64)))
(.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 2/3 (PI.f64)))
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(.f64 (PI.f64) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9) (*.f64 (PI.f64) -4/9)))
(.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 4/9) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9)))
(+.f64 (.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 2/3 (.f64 (PI.f64) (.f64 2/3 (PI.f64)))))
(.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 2/3 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9) (*.f64 (PI.f64) -4/9)))
(.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 4/9) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9)))
(+.f64 (.f64 2/3 (.f64 (PI.f64) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (.f64 2/3 (.f64 (PI.f64) (.f64 2/3 (PI.f64)))))
(.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 2/3 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9) (*.f64 (PI.f64) -4/9)))
(.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 4/9) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9)))
(-.f64 (.f64 2/3 (.f64 (PI.f64) (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) 0)
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(.f64 (PI.f64) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9) (*.f64 (PI.f64) -4/9)))
(.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 4/9) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9)))
(-.f64 (.f64 2/3 (.f64 (PI.f64) (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) (.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 0))
(.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 2/3 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9) (*.f64 (PI.f64) -4/9)))
(.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 4/9) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9)))
(-.f64 0 (.f64 (.f64 2/3 (PI.f64)) (-.f64 (.f64 (PI.f64) -2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 2/3 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9) (*.f64 (PI.f64) -4/9)))
(.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 4/9) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9)))
(-.f64 (.f64 2/3 (.f64 (PI.f64) (.f64 2/3 (PI.f64)))) (.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 2/3 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9) (*.f64 (PI.f64) -4/9)))
(.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 4/9) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9)))
(-.f64 (.f64 2/3 (.f64 (PI.f64) (.f64 2/3 (PI.f64)))) (.f64 2/3 (.f64 (PI.f64) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))))
(.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 2/3 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9) (*.f64 (PI.f64) -4/9)))
(.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 4/9) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9)))
(-.f64 (.f64 2/3 (.f64 (PI.f64) (.f64 2/3 (PI.f64)))) (.f64 (PI.f64) (.f64 2/3 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))))
(.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 2/3 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9) (*.f64 (PI.f64) -4/9)))
(.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 4/9) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9)))
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(.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 2/3 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9) (*.f64 (PI.f64) -4/9)))
(.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 4/9) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9)))
(-.f64 (.f64 2/3 (.f64 (PI.f64) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (.f64 2/3 (.f64 (PI.f64) (.f64 (PI.f64) -2/3))))
(.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 2/3 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9) (*.f64 (PI.f64) -4/9)))
(.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 4/9) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9)))
(-.f64 (.f64 (.f64 2/3 (PI.f64)) 0) (.f64 (.f64 2/3 (PI.f64)) (-.f64 (.f64 (PI.f64) -2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 2/3 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9) (*.f64 (PI.f64) -4/9)))
(.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 4/9) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9)))
(-.f64 (.f64 (-.f64 (.f64 (PI.f64) -2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 0) (.f64 (.f64 2/3 (PI.f64)) (-.f64 (.f64 (PI.f64) -2/3) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 2/3 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9) (*.f64 (PI.f64) -4/9)))
(.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 4/9) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9)))
(-.f64 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 0) (.f64 (.f64 2/3 (PI.f64)) (-.f64 (.f64 (PI.f64) -2/3) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 2/3 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9) (*.f64 (PI.f64) -4/9)))
(.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 4/9) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9)))
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(.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 2/3 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9) (*.f64 (PI.f64) -4/9)))
(.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 4/9) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9)))
(/.f64 (.f64 2/3 (.f64 (PI.f64) (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) 1)
(.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 2/3 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9) (*.f64 (PI.f64) -4/9)))
(.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 4/9) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9)))
(/.f64 (.f64 (.f64 2/3 (PI.f64)) (-.f64 (.f64 (PI.f64) -2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) -1)
(.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 2/3 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9) (*.f64 (PI.f64) -4/9)))
(.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 4/9) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9)))
(neg.f64 (.f64 (.f64 2/3 (PI.f64)) (-.f64 (.f64 (PI.f64) -2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 2/3 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9) (*.f64 (PI.f64) -4/9)))
(.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 4/9) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9)))
(neg.f64 (.f64 (.f64 2/3 (-.f64 (.f64 (PI.f64) -2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (PI.f64)))
(.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 2/3 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9) (*.f64 (PI.f64) -4/9)))
(.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 4/9) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9)))

localize87.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 317 to 168 computations (47% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite90.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

938×	`rational_best-simplify-52`
816×	`rational_best-simplify-1`
634×	`rational_best-simplify-18`
632×	`rational_best-simplify-21`
616×	`rational_best-simplify-20`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	35
1	34	35
2	161	35
3	969	35
4	6522	35

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 (PI.f64) -2/3))

Outputs

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simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

938×	`rational_best-simplify-113`
576×	`rational_best-simplify-96`
570×	`rational_best-simplify-117`
560×	`rational_best-simplify-61`
542×	`rational_best-simplify-65`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	1575
1	341	1575
2	2124	1575

Stop Event

1×	node limit

Counts

45 → 24

Calls

Call 1

Inputs
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(if (!=.f64 (-.f64 (.f64 (PI.f64) 2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 0) (/.f64 (neg.f64 (.f64 (-.f64 (.f64 (PI.f64) 2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (-.f64 (.f64 (PI.f64) 2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) (-.f64 (.f64 (PI.f64) 2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 (PI.f64) -2/3)))
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Outputs
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -2/3 (PI.f64)))
(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -2/3 (PI.f64)))
(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -2/3 (PI.f64)))
(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -2/3 (PI.f64)))
(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -2/3 (PI.f64)))
(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
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(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
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(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -2/3 (PI.f64)))
(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
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(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
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(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -2/3 (PI.f64)))
(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -2/3 (PI.f64)))
(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 (PI.f64) 2/3))
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -2/3 (PI.f64)))
(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(-.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -2/3 (PI.f64)))
(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(-.f64 0 (-.f64 (.f64 (PI.f64) 2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -2/3 (PI.f64)))
(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 (PI.f64) -2/3)) 1)
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -2/3 (PI.f64)))
(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(.f64 -1 (-.f64 (.f64 (PI.f64) 2/3) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -2/3 (PI.f64)))
(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(.f64 (-.f64 (.f64 (PI.f64) 2/3) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) -1)
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -2/3 (PI.f64)))
(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(/.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 (PI.f64) -2/3)) 1)
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -2/3 (PI.f64)))
(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(/.f64 (-.f64 (.f64 (PI.f64) 2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) -1)
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -2/3 (PI.f64)))
(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(/.f64 (+.f64 (-.f64 (.f64 (PI.f64) 2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (-.f64 (.f64 (PI.f64) 2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) -2)
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -2/3 (PI.f64)))
(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 (PI.f64) -2/3)) (.f64 (-.f64 (.f64 (PI.f64) 2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (-.f64 (.f64 (PI.f64) 2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) (-.f64 1 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 (PI.f64) -2/3))))
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -2/3 (PI.f64)))
(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(pow.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 (PI.f64) -2/3)) 1)
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -2/3 (PI.f64)))
(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(neg.f64 (-.f64 (.f64 (PI.f64) 2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -2/3 (PI.f64)))
(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(if (!=.f64 (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)) 0) (/.f64 (-.f64 (.f64 (.f64 (PI.f64) -2/3) (.f64 (PI.f64) -2/3)) (.f64 1/3 (.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (acos.f64 (neg.f64 (/.f64 g h)))))) (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 (PI.f64) -2/3)))
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -2/3 (PI.f64)))
(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(if (!=.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3) 0) (/.f64 (.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (-.f64 (.f64 (PI.f64) 2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 (PI.f64) -2/3)))
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -2/3 (PI.f64)))
(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (.f64 (PI.f64) 2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 0)) 0) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 (PI.f64) -2/3)))
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -2/3 (PI.f64)))
(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(if (!=.f64 (.f64 (PI.f64) -2/3) 0) (/.f64 (.f64 (-.f64 (.f64 (PI.f64) 2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (PI.f64) 2/3)) (.f64 (PI.f64) -2/3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 (PI.f64) -2/3)))
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -2/3 (PI.f64)))
(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(if (!=.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 (PI.f64) 2/3)) 0) (/.f64 (-.f64 (.f64 (.f64 (PI.f64) -2/3) (.f64 (PI.f64) -2/3)) (.f64 1/3 (.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (acos.f64 (neg.f64 (/.f64 g h)))))) (+.f64 (.f64 (PI.f64) -2/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 (PI.f64) -2/3)))
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -2/3 (PI.f64)))
(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(if (!=.f64 (.f64 (PI.f64) 2/3) 0) (/.f64 (.f64 (-.f64 (.f64 (PI.f64) 2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (PI.f64) 2/3)) (.f64 (PI.f64) -2/3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 (PI.f64) -2/3)))
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -2/3 (PI.f64)))
(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(if (!=.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) 0) (/.f64 (.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (-.f64 (.f64 (PI.f64) 2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 (PI.f64) -2/3)))
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -2/3 (PI.f64)))
(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(if (!=.f64 (-.f64 (.f64 (PI.f64) 2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 0) (/.f64 (neg.f64 (.f64 (-.f64 (.f64 (PI.f64) 2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (-.f64 (.f64 (PI.f64) 2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) (-.f64 (.f64 (PI.f64) 2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 (PI.f64) -2/3)))
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -2/3 (PI.f64)))
(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(if (!=.f64 (-.f64 (.f64 (PI.f64) 2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 0) (/.f64 (-.f64 (.f64 (-.f64 (.f64 (PI.f64) 2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 0) (.f64 (-.f64 (.f64 (PI.f64) 2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (-.f64 (.f64 (PI.f64) 2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) (-.f64 (.f64 (PI.f64) 2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 (PI.f64) -2/3)))
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -2/3 (PI.f64)))
(-.f64 (.f64 -2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))

localize291.0ms (2.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.6b	(cos.f64 (/.f64 (*.f64 2 (PI.f64)) 3))
✓	1.6b	(cos.f64 (*.f64 2/3 (PI.f64)))
	59.7b	(+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
✓	59.8b	(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))

Compiler

Compiled 605 to 357 computations (41% saved)

series17.0ms (0.2%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	g	@	inf	(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
2.0ms	g	@	0	(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
2.0ms	h	@	inf	(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
2.0ms	h	@	-inf	(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
1.0ms	h	@	0	(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))

rewrite75.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1198×	`rational_best-simplify-61`
1170×	`rational_best-simplify-65`
908×	`rational_best-simplify-3`
704×	`rational_best-simplify-62`
476×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	135
1	104	135
2	520	135
3	3383	135

Stop Event

1×	node limit

Counts

3 → 22

Calls

Call 1

Inputs

(-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))) 2))

(cos.f64 (*.f64 2/3 (PI.f64)))

(cos.f64 (/.f64 (*.f64 2 (PI.f64)) 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) 2) (neg.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) 2) (pow.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) 2) (pow.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))) 2)) (pow.f64 (*.f64 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()

()

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

762×	`rational_best-simplify-61`
726×	`rational_best-simplify-65`
726×	`rational_best-simplify-96`
706×	`rational_best-simplify-111`
564×	`rational_best-simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	4738
1	481	4738
2	2760	4738

Stop Event

1×	node limit

Counts

46 → 25

Calls

Call 1

Inputs
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
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(if (!=.f64 (neg.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) 2)) 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) 4) (pow.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))))) 2)) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) 2)) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)))

Outputs
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
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(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
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(if (!=.f64 (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) 2)) 0) (/.f64 (-.f64 (.f64 0 (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) 2))) (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)))) (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) 2))) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(if (!=.f64 (neg.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) 2)) 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) 4) (pow.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))))) 2)) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) 2)) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))

localize550.0ms (5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.6b	(cos.f64 (/.f64 (*.f64 2 (PI.f64)) 3))
	59.7b	(+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
✓	59.7b	(-.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))))
	59.7b	(-.f64 (.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (.f64 (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))

Compiler

Compiled 1403 to 852 computations (39.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite117.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1614×	`rational_best-simplify-61`
648×	`rational_best-simplify-1`
596×	`rational_best-simplify-52`
588×	`rational_best-simplify-53`
554×	`rational_best-simplify-56`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	206
1	118	206
2	690	194
3	4589	194

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs

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

(cos.f64 (/.f64 (*.f64 2 (PI.f64)) 3))

Outputs

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

()

simplify101.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1006×	`rational_best-simplify-96`
1004×	`rational_best-simplify-61`
966×	`rational_best-simplify-65`
772×	`rational_best-simplify-3`
536×	`rational_best-simplify-62`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	111	6286
1	504	6190
2	3249	6190

Stop Event

1×	node limit

Counts

46 → 28

Calls

Call 1

Inputs
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(+.f64 (.f64 (/.f64 (-.f64 -1 (cos.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) -2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (.f64 2 (PI.f64)) 3)))) 2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 2) (neg.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (.f64 2 (PI.f64)) 3)))) 2))))
(+.f64 (-.f64 (.f64 (/.f64 (-.f64 -1 (cos.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) -2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (.f64 2 (PI.f64)) 3)))) 2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (.f64 2 (PI.f64)) 3)))) 2))) 0)
(+.f64 0 (-.f64 (.f64 (/.f64 (-.f64 -1 (cos.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) -2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (.f64 2 (PI.f64)) 3)))) 2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (.f64 2 (PI.f64)) 3)))) 2))))
(+.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 2) (neg.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (.f64 2 (PI.f64)) 3)))) 2))) (.f64 (/.f64 (-.f64 -1 (cos.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) -2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (.f64 2 (PI.f64)) 3)))) 2)))
(.f64 (-.f64 (.f64 (/.f64 (-.f64 -1 (cos.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) -2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (.f64 2 (PI.f64)) 3)))) 2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (*.f64 2 (PI.f64)) 3)))) 2))) 1)
(.f64 -1 (-.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (.f64 2 (PI.f64)) 3)))) 2)) (.f64 (/.f64 (-.f64 -1 (cos.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) -2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (*.f64 2 (PI.f64)) 3)))) 2))))
(.f64 (-.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (.f64 2 (PI.f64)) 3)))) 2)) (.f64 (/.f64 (-.f64 -1 (cos.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) -2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (*.f64 2 (PI.f64)) 3)))) 2))) -1)
(/.f64 (-.f64 (.f64 (/.f64 (-.f64 -1 (cos.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) -2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (.f64 2 (PI.f64)) 3)))) 2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (.f64 2 (PI.f64)) 3)))) 2))) 1)
(/.f64 (-.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (.f64 2 (PI.f64)) 3)))) 2)) (.f64 (/.f64 (-.f64 -1 (cos.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) -2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (.f64 2 (PI.f64)) 3)))) 2))) -1)
(/.f64 (+.f64 (-.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (.f64 2 (PI.f64)) 3)))) 2)) (.f64 (/.f64 (-.f64 -1 (cos.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) -2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (.f64 2 (PI.f64)) 3)))) 2))) (-.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (.f64 2 (PI.f64)) 3)))) 2)) (.f64 (/.f64 (-.f64 -1 (cos.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) -2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (.f64 2 (PI.f64)) 3)))) 2)))) -2)
(/.f64 (-.f64 (-.f64 (.f64 (/.f64 (-.f64 -1 (cos.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) -2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (.f64 2 (PI.f64)) 3)))) 2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (.f64 2 (PI.f64)) 3)))) 2))) (.f64 (-.f64 (.f64 (/.f64 (-.f64 -1 (cos.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) -2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (.f64 2 (PI.f64)) 3)))) 2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (.f64 2 (PI.f64)) 3)))) 2))) (-.f64 (.f64 (/.f64 (-.f64 -1 (cos.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) -2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (.f64 2 (PI.f64)) 3)))) 2)) (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (.f64 2 (PI.f64)) 3)))) 2))))) (+.f64 1 (-.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 2) (/.f64 (-.f64 1 (cos.f64 (.f64 2 (/.f64 (.f64 2 (PI.f64)) 3)))) 2)) (.f64 (/.f64 (-.f64 -1 (cos.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) -2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (*.f64 2 (PI.f64)) 3)))) 2)))))
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Outputs
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(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))
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eval862.0ms (7.8%)

Compiler: Compiled 51778 to 32330 computations (37.6% saved)

prune157.0ms (1.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	403	5	408
Fresh	2	1	3
Picked	1	0	1
Done	3	3	6
Total	409	9	418

Error

1.0b

Counts

418 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	48.5b	(.f64 2 (if (!=.f64 (+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
▶	48.7b	(.f64 2 (if (!=.f64 (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 0) (/.f64 (if (!=.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2) 0) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 4)) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
	49.4b	(.f64 2 (if (!=.f64 (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) (if (!=.f64 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) 0) (/.f64 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
▶	48.7b	(.f64 2 (if (!=.f64 (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 0) (/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2))) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
▶	1.0b	(.f64 2 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
▶	1.0b	(.f64 2 (cos.f64 (if (!=.f64 (.f64 (PI.f64) -2/3) 0) (/.f64 (.f64 (PI.f64) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9) (.f64 (PI.f64) -4/9))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))
✓	1.0b	(.f64 2 (cos.f64 (if (!=.f64 (.f64 (PI.f64) -2/3) 0) (/.f64 (.f64 2/3 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (PI.f64))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))
✓	1.0b	(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓	1.0b	(.f64 2 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))

Compiler

Compiled 1491 to 1032 computations (30.8% saved)

localize65.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
✓	1.0b	(cos.f64 (if (!=.f64 (.f64 (PI.f64) -2/3) 0) (/.f64 (.f64 (PI.f64) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9) (.f64 (PI.f64) -4/9))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
	1.0b	(*.f64 2/3 (PI.f64))
	1.0b	(*.f64 (PI.f64) -2/3)

Compiler

Compiled 210 to 113 computations (46.2% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	g	@	0	(cos.f64 (if (!=.f64 (.f64 (PI.f64) -2/3) 0) (/.f64 (.f64 (PI.f64) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9) (.f64 (PI.f64) -4/9))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
1.0ms	g	@	-inf	(cos.f64 (if (!=.f64 (.f64 (PI.f64) -2/3) 0) (/.f64 (.f64 (PI.f64) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9) (.f64 (PI.f64) -4/9))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
1.0ms	g	@	inf	(cos.f64 (if (!=.f64 (.f64 (PI.f64) -2/3) 0) (/.f64 (.f64 (PI.f64) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9) (.f64 (PI.f64) -4/9))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
1.0ms	h	@	-inf	(cos.f64 (if (!=.f64 (.f64 (PI.f64) -2/3) 0) (/.f64 (.f64 (PI.f64) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9) (.f64 (PI.f64) -4/9))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
1.0ms	h	@	inf	(cos.f64 (if (!=.f64 (.f64 (PI.f64) -2/3) 0) (/.f64 (.f64 (PI.f64) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9) (.f64 (PI.f64) -4/9))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

968×	`rational_best-simplify-3`
968×	`rational_best-simplify-61`
948×	`rational_best-simplify-65`
926×	`rational_best-simplify-96`
564×	`rational_best-simplify-62`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	113
1	85	113
2	440	113
3	2819	113

Stop Event

1×	node limit

Counts

1 → 0

Calls

Call 1

Inputs

(cos.f64 (if (!=.f64 (*.f64 (PI.f64) -2/3) 0) (/.f64 (*.f64 (PI.f64) (-.f64 (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9) (*.f64 (PI.f64) -4/9))) (*.f64 2/3 (PI.f64))) (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))

Outputs
()

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1380×	`rational_best-simplify-113`
700×	`rational_best-simplify-61`
692×	`rational_best-simplify-96`
690×	`rational_best-simplify-65`
654×	`rational_best-simplify-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	2328
1	119	2184
2	399	2184
3	2113	936

Stop Event

1×	node limit

Counts

24 → 6

Calls

Call 1

Inputs
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))

Outputs
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 (PI.f64) -4/9))) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 (PI.f64) 2/3))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 -2/3 (PI.f64))) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (*.f64 (PI.f64) 2/3))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 (PI.f64) 2/3)) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (*.f64 (PI.f64) 2/3))))
(cos.f64 (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 (PI.f64) 2/3)))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
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(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 (PI.f64) -4/9))) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 (PI.f64) 2/3))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 -2/3 (PI.f64))) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (*.f64 (PI.f64) 2/3))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 (PI.f64) 2/3)) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (*.f64 (PI.f64) 2/3))))
(cos.f64 (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 (PI.f64) 2/3)))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 (PI.f64) -4/9))) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 (PI.f64) 2/3))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 -2/3 (PI.f64))) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (*.f64 (PI.f64) 2/3))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 (PI.f64) 2/3)) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (*.f64 (PI.f64) 2/3))))
(cos.f64 (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 (PI.f64) 2/3)))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 (PI.f64) -4/9))) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 (PI.f64) 2/3))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 -2/3 (PI.f64))) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (*.f64 (PI.f64) 2/3))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 (PI.f64) 2/3)) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (*.f64 (PI.f64) 2/3))))
(cos.f64 (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 (PI.f64) 2/3)))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 (PI.f64) -4/9))) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 (PI.f64) 2/3))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 -2/3 (PI.f64))) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (*.f64 (PI.f64) 2/3))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 (PI.f64) 2/3)) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (*.f64 (PI.f64) 2/3))))
(cos.f64 (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 (PI.f64) 2/3)))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 (PI.f64) -4/9))) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 (PI.f64) 2/3))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 -2/3 (PI.f64))) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (*.f64 (PI.f64) 2/3))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 (PI.f64) 2/3)) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (*.f64 (PI.f64) 2/3))))
(cos.f64 (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 (PI.f64) 2/3)))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 (PI.f64) -4/9))) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 (PI.f64) 2/3))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 -2/3 (PI.f64))) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (*.f64 (PI.f64) 2/3))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 (PI.f64) 2/3)) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (*.f64 (PI.f64) 2/3))))
(cos.f64 (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 (PI.f64) 2/3)))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 -4/9 (PI.f64)))) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 (PI.f64) -4/9))) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 (PI.f64) 2/3))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 -2/3 (PI.f64))) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (*.f64 (PI.f64) 2/3))))
(cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 (PI.f64) 2/3)) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (*.f64 (PI.f64) 2/3))))
(cos.f64 (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 (PI.f64) 2/3)))

localize70.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
	1.0b	(/.f64 (*.f64 2 (PI.f64)) 3)
	1.0b	(sin.f64 (/.f64 (*.f64 2 (PI.f64)) 3))
✓	1.6b	(cos.f64 (/.f64 (*.f64 2 (PI.f64)) 3))

Compiler

Compiled 175 to 96 computations (45.1% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1208×	`rational_best-simplify-61`
1146×	`rational_best-simplify-65`
794×	`rational_best-simplify-52`
700×	`rational_best-simplify-62`
628×	`rational_best-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	22	19
2	97	19
3	557	19
4	3735	19

Stop Event

1×	node limit

Counts

1 → 0

Calls

Call 1

Inputs
(cos.f64 (/.f64 (*.f64 2 (PI.f64)) 3))

Outputs
()

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize229.0ms (2.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.6b	(cos.f64 (*.f64 2/3 (PI.f64)))
	59.7b	(+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
✓	59.7b	(+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
	59.8b	(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))

Compiler

Compiled 620 to 360 computations (41.9% saved)

series1.0ms (0%)

Counts

2 → 20

Calls

6 calls:

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

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

776×	`rational_best-simplify-61`
740×	`rational_best-simplify-65`
732×	`rational_best-simplify-96`
724×	`rational_best-simplify-117`
564×	`rational_best-simplify-113`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	104
1	60	104
2	318	104
3	2038	104

Stop Event

1×	node limit

Counts

2 → 16

Calls

Call 1

Inputs

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

(cos.f64 (*.f64 2/3 (PI.f64)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (neg.f64 (cos.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 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()

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

622×	`rational_best-simplify-111`
598×	`rational_best-simplify-96`
590×	`rational_best-simplify-117`
590×	`rational_best-simplify-61`
572×	`rational_best-simplify-65`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	3276
1	364	3276
2	2080	3276

Stop Event

1×	node limit

Counts

36 → 18

Calls

Call 1

Inputs
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Outputs
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(if (!=.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) 0) (/.f64 (-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))))))) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) (+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))
(+.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))))
(if (!=.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (neg.f64 (sin.f64 (.f64 2/3 (PI.f64))))) 0) (/.f64 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))))) (+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))
(+.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))))
(if (!=.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 0) (/.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) (+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))
(+.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))))
(if (!=.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 0) (/.f64 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))))) (+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))
(+.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))))
(if (!=.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (neg.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) 0) (/.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) (+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))
(+.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))))
(if (!=.f64 (neg.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) 0) (/.f64 (-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))))))) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) (+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))
(+.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))))

localize222.0ms (2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.6b	(cos.f64 (/.f64 (*.f64 2 (PI.f64)) 3))
✓	1.6b	(cos.f64 (*.f64 2/3 (PI.f64)))
	59.7b	(+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
✓	59.8b	(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))

Compiler

Compiled 631 to 383 computations (39.3% saved)

series6.0ms (0.1%)

Counts

3 → 4

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	h	@	-inf	(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
1.0ms	g	@	0	(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
1.0ms	g	@	inf	(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
1.0ms	h	@	inf	(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
1.0ms	h	@	0	(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))

rewrite74.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

978×	`rational_best-simplify-61`
968×	`rational_best-simplify-65`
920×	`rational_best-simplify-96`
794×	`rational_best-simplify-3`
584×	`rational_best-simplify-62`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	135
1	92	135
2	450	135
3	2799	135

Stop Event

1×	node limit

Counts

3 → 25

Calls

Call 1

Inputs

(-.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (*.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2)))

(cos.f64 (*.f64 2/3 (PI.f64)))

(cos.f64 (/.f64 (*.f64 2 (PI.f64)) 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (neg.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))) 2)) (pow.f64 (*.f64 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()

()

simplify111.0ms (1%)

Algorithm

1×	egg-herbie

Rules

834×	`rational_best-simplify-61`
796×	`rational_best-simplify-96`
788×	`rational_best-simplify-65`
622×	`rational_best-simplify-3`
504×	`rational_best-simplify-110`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	2987
1	497	2987
2	3027	2987

Stop Event

1×	node limit

Counts

29 → 27

Calls

Call 1

Inputs
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(+.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (neg.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)))
(+.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) 0)
(+.f64 0 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)))
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(.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))) 2)) 1)
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(/.f64 (+.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))) 2)
(/.f64 (+.f64 (+.f64 (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2)) (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2))) (+.f64 (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2)) (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2)))) -4)
(/.f64 (+.f64 (-.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)))) (-.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))))) (+.f64 (-.f64 1 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))) (-.f64 1 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)))))
(pow.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) 1)
(neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2)))
(if (!=.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 4) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 4)) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)))
(if (!=.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2) 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 4)) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)))
(if (!=.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 4) (pow.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))))) 2)) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2)) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 0 (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2)))) 0) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))) 2)))
(if (!=.f64 (-.f64 (neg.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2)) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 4) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 4)) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)))
(if (!=.f64 (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2)) 0) (/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)))) (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2))) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))) 2)))
(if (!=.f64 (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2)) 0) (/.f64 (-.f64 (.f64 0 (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2))) (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)))) (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2))) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)))
(if (!=.f64 (neg.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2)) 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 4) (pow.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))))) 2)) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2)) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)))
(if (!=.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 4)) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)))

Outputs
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
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(if (!=.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 4) (pow.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))))) 2)) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2)) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 0 (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2)))) 0) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2))
(if (!=.f64 (-.f64 (neg.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2)) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 4) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 4)) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2))
(if (!=.f64 (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2)) 0) (/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)))) (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2))) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2))
(if (!=.f64 (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2)) 0) (/.f64 (-.f64 (.f64 0 (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2))) (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)))) (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2))) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2))
(if (!=.f64 (neg.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2)) 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 4) (pow.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))))) 2)) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2)) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2))
(if (!=.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 4)) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2))

localize580.0ms (5.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.6b	(cos.f64 (*.f64 2/3 (PI.f64)))
	59.7b	(+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
✓	59.7b	(-.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 4))
✓	59.8b	(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))

Compiler

Compiled 1155 to 692 computations (40.1% saved)

series18.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	h	@	0	(-.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 4))
2.0ms	h	@	inf	(-.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 4))
2.0ms	g	@	inf	(-.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 4))
2.0ms	g	@	-inf	(-.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 4))
2.0ms	h	@	-inf	(-.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 4))

rewrite98.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1284×	`rational_best-simplify-61`
1246×	`rational_best-simplify-65`
1094×	`rational_best-simplify-3`
752×	`rational_best-simplify-62`
524×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	267
1	123	267
2	636	267
3	3879	267

Stop Event

1×	node limit

Counts

3 → 53

Calls

Call 1

Inputs

(-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) 2) (pow.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))) 2))

(-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64))))) 2) (pow.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))) 4))

(cos.f64 (*.f64 2/3 (PI.f64)))

Outputs

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()

simplify191.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1130×	`rational_best-simplify-3`
618×	`rational_best-simplify-1`
542×	`rational_best-simplify-53`
464×	`rational_best-simplify-56`
442×	`rational_best-simplify-52`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	202	15023
1	934	14411
2	5217	14411

Stop Event

1×	node limit

Counts

101 → 74

Calls

Call 1

Inputs
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
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(if (!=.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) (.f64 (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 2/3 (PI.f64)))))) 2)) 0) (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) (.f64 (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 2/3 (PI.f64)))))) 4) (.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) 2) (pow.f64 (.f64 (sin.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) (sin.f64 (.f64 2/3 (PI.f64)))) 6))) (pow.f64 (.f64 (sin.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) (.f64 (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 2/3 (PI.f64)))))) 2)) (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) (.f64 (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 2/3 (PI.f64)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) (sin.f64 (.f64 2/3 (PI.f64)))) 4)))

Outputs
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))) 2))
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(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))) 2))
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(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))) 2))
(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 -1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2)))
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eval774.0ms (7%)

Compiler: Compiled 48643 to 30542 computations (37.2% saved)

prune75.0ms (0.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	327	5	332
Fresh	1	0	1
Picked	1	0	1
Done	3	4	7
Total	332	9	341

Error

1.0b

Counts

341 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	48.7b	(.f64 2 (if (!=.f64 (+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) 0) (/.f64 (if (!=.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2) 0) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 4)) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
	49.4b	(.f64 2 (if (!=.f64 (+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) (if (!=.f64 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) 0) (/.f64 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
	48.4b	(.f64 2 (if (!=.f64 (+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) (+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
	1.0b	(.f64 2 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) (.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) 1/3))) (-.f64 1 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
✓	1.0b	(.f64 2 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
✓	1.0b	(.f64 2 (cos.f64 (if (!=.f64 (.f64 (PI.f64) -2/3) 0) (/.f64 (.f64 (PI.f64) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9) (.f64 (PI.f64) -4/9))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))
	1.0b	(.f64 2 (cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 (PI.f64) -4/9))) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (*.f64 (PI.f64) 2/3)))))
✓	1.0b	(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓	1.0b	(.f64 2 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))

Compiler

Compiled 707 to 487 computations (31.1% saved)

regimes124.0ms (1.1%)

Counts

23 → 1

Calls

Call 1

Inputs
(.f64 2 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (cos.f64 (if (!=.f64 (.f64 -2/3 (PI.f64)) 0) (.f64 3/2 (-.f64 (.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 (PI.f64) -4/9))) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (*.f64 (PI.f64) 2/3)))))
(.f64 2 (cos.f64 (if (!=.f64 (.f64 (PI.f64) -2/3) 0) (/.f64 (.f64 (PI.f64) (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/9) (.f64 (PI.f64) -4/9))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))
(.f64 2 (cos.f64 (if (!=.f64 (.f64 (PI.f64) -2/3) 0) (/.f64 (.f64 2/3 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (PI.f64))) (.f64 2/3 (PI.f64))) (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))
(.f64 2 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
(.f64 2 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (*.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
(.f64 2 (cos.f64 (if (!=.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)) 0) (/.f64 (+.f64 (.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2)) (.f64 (pow.f64 (PI.f64) 2) -4/9)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 (PI.f64) -2/3))) (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))
(.f64 2 (cos.f64 (if (!=.f64 (+.f64 (.f64 (PI.f64) -2/3) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 0) (/.f64 (-.f64 (.f64 (.f64 2/3 (PI.f64)) (.f64 2/3 (PI.f64))) (pow.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) 2)) (+.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))
(.f64 2 (cos.f64 (if (!=.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 0) (/.f64 (-.f64 (/.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (acos.f64 (/.f64 (neg.f64 g) h))) 9) (/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 (PI.f64) 4)) 36)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3))) (+.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(.f64 2 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) (.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) 1/3))) (-.f64 1 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
(.f64 2 (cos.f64 (if (!=.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 0) (/.f64 (-.f64 (/.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (acos.f64 (/.f64 (neg.f64 g) h))) 9) (/.f64 (.f64 (.f64 (PI.f64) 4) (.f64 (PI.f64) 4)) 36)) (if (!=.f64 (neg.f64 (/.f64 (.f64 (PI.f64) 2) 3)) 0) (/.f64 (-.f64 (/.f64 (.f64 (.f64 (PI.f64) 2) (.f64 (PI.f64) 2)) 9) (.f64 (neg.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (neg.f64 (/.f64 (.f64 (PI.f64) 2) 3)))) (neg.f64 (/.f64 (.f64 (PI.f64) 2) 3))) (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (.f64 (PI.f64) 2) 3)))) (+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(.f64 2 (if (!=.f64 (+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) (+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
(.f64 2 (if (!=.f64 (+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
(.f64 2 (if (!=.f64 (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
(.f64 2 (if (!=.f64 (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 0) (/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2))) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
(.f64 2 (if (!=.f64 (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 0) (/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2/3 (PI.f64))) 2) (pow.f64 (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (.f64 2/3 (PI.f64))) 2))) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
(.f64 2 (if (!=.f64 (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 0) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (.f64 (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
(.f64 2 (if (!=.f64 (+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) 0) (/.f64 (if (!=.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2) 0) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 4)) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
(.f64 2 (if (!=.f64 (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 0) (/.f64 (if (!=.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2) 0) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 4)) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2))) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
(.f64 2 (if (!=.f64 (+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) (if (!=.f64 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) 0) (/.f64 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
(.f64 2 (if (!=.f64 (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 0) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) 2)) (if (!=.f64 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) 0) (/.f64 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))
(.f64 2 (if (!=.f64 (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) 0) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (.f64 (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (if (!=.f64 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) 0) (/.f64 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))) (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))))

Outputs

(*.f64 2 (cos.f64 (if (!=.f64 (*.f64 -2/3 (PI.f64)) 0) (*.f64 3/2 (-.f64 (*.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 (PI.f64) -4/9))) (+.f64 (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (*.f64 (PI.f64) 2/3)))))

Calls

9 calls:

14.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
12.0ms	h
12.0ms	(neg.f64 g)
11.0ms	g
9.0ms	(/.f64 (neg.f64 g) h)

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 2378 to 1497 computations (37% saved)

regimes25.0ms (0.2%)

Accuracy

Total -0.0b remaining (-1.6%)

Threshold costs -0.0b (-1.6%)

Counts

2 → 1

Calls

Call 1

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

Calls

9 calls:

4.0ms	h
3.0ms	(neg.f64 g)
3.0ms	g
3.0ms	(acos.f64 (/.f64 (neg.f64 g) h))
3.0ms	(/.f64 (neg.f64 g) h)

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 113 to 93 computations (17.7% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	199

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

(*.f64 2 (cos.f64 (if (!=.f64 (*.f64 -2/3 (PI.f64)) 0) (*.f64 3/2 (-.f64 (*.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 (PI.f64) -4/9))) (+.f64 (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (*.f64 (PI.f64) 2/3)))))

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

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

Outputs

(*.f64 2 (cos.f64 (if (!=.f64 (*.f64 -2/3 (PI.f64)) 0) (*.f64 3/2 (-.f64 (*.f64 2/9 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 (PI.f64) -4/9))) (+.f64 (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (*.f64 (PI.f64) 2/3)))))

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

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

Compiler

Compiled 69 to 56 computations (18.8% saved)

soundness298.0ms (2.7%)

Algorithm

4×	egg-herbie

Rules

1380×	`rational_best-simplify-113`
1178×	`rational_best-simplify-61`
1134×	`rational_best-simplify-65`
1074×	`rational_best-simplify-113`
836×	`rational_best-simplify-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	4429
1	623	4285
2	3971	4285
0	196	2749
1	1110	2705
2	7562	2705
0	82	3043
1	414	2785
2	2491	2785
0	41	2328
1	119	2184
2	399	2184
3	2113	936

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 814 to 524 computations (35.6% saved)

end39.0ms (0.4%)

Compiler: Compiled 65 to 47 computations (27.7% saved)