Metrics for 2-ancestry mixing, negative discriminant

analyze162.0ms (1.1%)

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 15 computations (21.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-div: 39.0ms (35.2% of total)

ival-cos: 37.0ms (33.4% of total)

ival-mult: 12.0ms (10.8% of total)

ival-neg: 7.0ms (6.3% of total)

ival-acos: 6.0ms (5.4% of total)

ival-add: 4.0ms (3.6% of total)

ival-pi: 3.0ms (2.7% of total)

const: 1.0ms (0.9% of total)

backward-pass: 0.0ms (0% of total)

sample2.1s (14.5%)

Results

1.3s	8256×	0	valid
172.0ms	1121×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-div: 319.0ms (28.8% of total)

ival-cos: 296.0ms (26.7% of total)

ival-mult: 217.0ms (19.6% of total)

ival-acos: 102.0ms (9.2% of total)

ival-neg: 56.0ms (5.1% of total)

ival-add: 48.0ms (4.3% of total)

ival-pi: 46.0ms (4.2% of total)

const: 18.0ms (1.6% of total)

backward-pass: 4.0ms (0.4% of total)

Bogosity

preprocess41.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

716×	`fma-define`
642×	`fnmadd-define`
480×	`sum3-define`
148×	`fmsub-define`
132×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	92
1	75	80
2	141	74
3	278	74
4	549	74
5	1177	74
6	1517	74
7	1559	74
8	1659	74
9	1691	74
0	14	16
1	25	14
2	38	13
3	50	13
4	63	13
5	79	13
6	100	13
7	142	13
8	148	13
9	152	13
0	152	13

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

Outputs

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

(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)) #s(literal 3 binary64)))))

Call 2

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

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

explain278.0ms (1.9%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(PI.f64)`
-	-	`(/.f64 (neg.f64 g) h)`
-	-	`h`
-	-	`(*.f64 #s(literal 2 binary64) (PI.f64))`
-	-	`g`
-	-	`#s(literal 2 binary64)`
-	-	`(neg.f64 g)`
-	-	`(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))`
-	-	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))`
-	-	`(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))`
-	-	`#s(literal 3 binary64)`
-	-	`(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))`
-	-	`(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))`
-	-	`(acos.f64 (/.f64 (neg.f64 g) h))`

Results

173.0ms

512×

valid

Compiler

Compiled 172 to 44 computations (74.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-add: 25.0ms (35.3% of total)

ival-cos: 15.0ms (21.2% of total)

ival-div: 12.0ms (16.9% of total)

ival-mult: 8.0ms (11.3% of total)

ival-acos: 5.0ms (7.1% of total)

ival-neg: 3.0ms (4.2% of total)

ival-pi: 2.0ms (2.8% of total)

const: 1.0ms (1.4% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 17 to 15 computations (11.8% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)) #s(literal 3 binary64)))))

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 (PI.f64) #s(literal 2/3 binary64))
✓	cost-diff	(+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)) #s(literal 3 binary64)))
✓	cost-diff	(cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)) #s(literal 3 binary64))))
✓	cost-diff	(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)) #s(literal 3 binary64)))))

Rules

48×	`sum3-define`
36×	`fma-define`
32×	`+-lowering-+.f64`
32×	`+-lowering-+.f32`
24×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	69
1	21	69
2	25	63
3	26	63
4	29	63
5	34	63
6	40	63
7	52	63
8	66	63
9	83	63
10	96	63
11	111	63
12	143	63
13	145	63
14	146	63
0	146	63

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(* 2 (cos (+ (* (PI) 2/3) (/ (acos (/ (/ g -1) h)) 3))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))))
2
#s(literal 2 binary64)
(cos (+ (* (PI) 2/3) (/ (acos (/ (/ g -1) h)) 3)))
(cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))))
(+ (* (PI) 2/3) (/ (acos (/ (/ g -1) h)) 3))
(+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))
(* (PI) 2/3)
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(PI)
(PI.f64)
2/3
#s(literal 2/3 binary64)
(/ (acos (/ (/ g -1) h)) 3)
(/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))
(acos (/ (/ g -1) h))
(acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))
(/ (/ g -1) h)
(-.f64 #s(literal 0 binary64) (/.f64 g h))
(/ g -1)
(/.f64 g #s(literal -1 binary64))
g
-1
#s(literal -1 binary64)
h
3
#s(literal 3 binary64)

localize148.0ms (1%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.5%	(/.f64 (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)) #s(literal 3 binary64))
✓	accuracy	98.5%	(+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)) #s(literal 3 binary64)))
✓	accuracy	98.5%	(cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)) #s(literal 3 binary64))))
✓	accuracy	98.4%	(*.f64 (PI.f64) #s(literal 2/3 binary64))

Results

130.0ms

256×

valid

Compiler

Compiled 75 to 16 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 18.0ms (43.3% of total)

ival-cos: 8.0ms (19.2% of total)

ival-div: 6.0ms (14.4% of total)

...c/correct-round.rkt:119:19: 4.0ms (9.6% of total)

ival-acos: 3.0ms (7.2% of total)

ival-pi: 1.0ms (2.4% of total)

ival-add: 1.0ms (2.4% of total)

const: 1.0ms (2.4% of total)

backward-pass: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts

5 → 96

Calls

Call 1

Inputs
#<alt (* 2 (cos (+ (* (PI) 2/3) (/ (acos (/ (/ g -1) h)) 3))))>
#<alt (cos (+ (* (PI) 2/3) (/ (acos (/ (/ g -1) h)) 3)))>
#<alt (+ (* (PI) 2/3) (/ (acos (/ (/ g -1) h)) 3))>
#<alt (* (PI) 2/3)>
#<alt (/ (acos (/ (/ g -1) h)) 3)>

Outputs
#<alt (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	h	@	inf	(* 2 (cos (+ (* (PI) 2/3) (/ (acos (/ (/ g -1) h)) 3))))
2.0ms	g	@	0	(* 2 (cos (+ (* (PI) 2/3) (/ (acos (/ (/ g -1) h)) 3))))
1.0ms	g	@	inf	(* 2 (cos (+ (* (PI) 2/3) (/ (acos (/ (/ g -1) h)) 3))))
1.0ms	g	@	-inf	(* 2 (cos (+ (* (PI) 2/3) (/ (acos (/ (/ g -1) h)) 3))))
1.0ms	h	@	-inf	(* 2 (cos (+ (* (PI) 2/3) (/ (acos (/ (/ g -1) h)) 3))))

rewrite270.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2258×	`-lowering-.f32`
2258×	`-lowering-.f64`
1706×	`fma-lowering-fma.f32`
1706×	`fma-lowering-fma.f64`
1554×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	73	44
2	338	44
3	1712	44
0	8325	44

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 208

Calls

Call 1

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

Outputs
(+.f64 (.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (+.f64 (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))))) (.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64))) (sin.f64 (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))))))
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(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (asin.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))))) (.f64 (/.f64 #s(literal 3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (asin.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))))))
(/.f64 (-.f64 #s(literal -3 binary64) (.f64 (/.f64 #s(literal 3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (/.f64 g h)))) (.f64 (/.f64 #s(literal 3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal -3 binary64)))
(/.f64 (-.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (asin.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))))) (.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (asin.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))))) (.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1 binary64))) (.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 #s(literal 3 binary64) (asin.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))))))
(/.f64 (-.f64 #s(literal -3 binary64) (.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (asin.f64 (/.f64 g h)))) (.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal -3 binary64)))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal 3 binary64)) (.f64 #s(literal -6 binary64) (asin.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))))) #s(literal -18 binary64))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal 3 binary64) (asin.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))))) #s(literal -6 binary64)) (.f64 #s(literal -6 binary64) (/.f64 #s(literal 3 binary64) (asin.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -3 binary64)) (.f64 #s(literal -6 binary64) (asin.f64 (/.f64 g h)))) #s(literal 18 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 #s(literal -3 binary64) (asin.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))))) #s(literal -9 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (asin.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))))) #s(literal -3 binary64)) (.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (asin.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))))))
(/.f64 (-.f64 (.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal -3 binary64)) (.f64 #s(literal -3 binary64) (asin.f64 (/.f64 g h)))) #s(literal 9 binary64))
(pow.f64 (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g)))))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))
(*.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 1/3 binary64))
(*.f64 (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g)))) #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))))))
(*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g)))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))))) #s(literal -1/3 binary64))

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

48×	`sum3-define`
40×	`fma-define`
32×	`+-lowering-+.f64`
32×	`+-lowering-+.f32`
28×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	984
1	24	984
2	34	984
3	40	984
4	50	984
5	62	984
6	78	984
7	93	984
8	111	984
9	146	984
10	148	984
11	149	984
0	149	984

Stop Event

1×	iter limit
1×	saturated

Counts

96 → 96

Calls

Call 1

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

Outputs
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64))))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h))) (.f64 #s(literal 2/3 binary64) (PI.f64)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)))

eval52.0ms (0.3%)

Compiler: Compiled 8511 to 909 computations (89.3% saved)

prune34.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	298	6	304
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	298	7	305

Accuracy

100.0%

Counts

305 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(.f64 #s(literal 2 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))) (sin.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))))))
	98.4%	(.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64))))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))))))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))))))))
▶	99.9%	(.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))))))) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))))))))
▶	97.6%	(.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))))) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))))))) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))))) #s(literal 2 binary64))))
▶	98.4%	(.f64 #s(literal 2 binary64) (+.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (cos.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64))))) (.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))))
▶	98.4%	(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))))
✓	98.4%	(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)) #s(literal 3 binary64)))))

Compiler

Compiled 819 to 289 computations (64.7% saved)

simplify189.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))))) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))))))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))))) #s(literal 2 binary64))
✓	cost-diff	256	(.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))))) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))))))) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))))) #s(literal 2 binary64))))
✓	cost-diff	27392	(/.f64 (-.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))))) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))))))) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))))) #s(literal 2 binary64)))
✓	cost-diff	0	(sin.f64 (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))))
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))) (sin.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))))))
✓	cost-diff	6400	(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))) (sin.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))))
✓	cost-diff	0	(/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (cos.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64)))))
✓	cost-diff	0	(+.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (cos.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64))))) (.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64))))))
✓	cost-diff	384	(.f64 #s(literal 2 binary64) (+.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (cos.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64))))) (.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))))
✓	cost-diff	6272	(fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))))) #s(literal 1 binary64))
✓	cost-diff	128	(.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))))))
✓	cost-diff	256	(.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))))))) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))))))))
✓	cost-diff	54528	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))))))) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))))))))

Rules

2890×	`-lowering-.f32`
2890×	`-lowering-.f64`
1544×	`/-lowering-/.f32`
1544×	`/-lowering-/.f64`
1324×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	58	1453
1	155	1453
2	439	1127
3	1874	1119
4	6521	1115
0	8244	1115

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* 2 (/ (- (* 1 (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) 1)) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))))))))
2
(/ (- (* 1 (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) 1)) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))))
(- (* 1 (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) 1))
(* 1 (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))))))
1
(/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))
(- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))))
(cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3)))
(+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))
(* (PI) 2/3)
(PI)
2/3
(/ (acos (/ -1 (/ h g))) -3)
(acos (/ -1 (/ h g)))
(/ -1 (/ h g))
-1
(/ h g)
h
g
-3
(cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))
(+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))
(/ (acos (/ -1 (/ h g))) 3)
3
(* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) 1)
(/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3)))))
(+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))
(* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))))))
(* 2 (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))))
2
(cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))
(+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))
(PI)
2/3
(/ (acos (/ -1 (/ h g))) 3)
(acos (/ -1 (/ h g)))
(/ -1 (/ h g))
-1
(/ h g)
h
g
3
(* 2 (+ (* (/ (sqrt 3) 2) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))) (* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3))))))
2
(+ (* (/ (sqrt 3) 2) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))) (* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))))
(* (/ (sqrt 3) 2) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3))))
(/ (sqrt 3) 2)
(sqrt 3)
3
(cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))
(- (/ (asin (/ g h)) -3) (* (PI) 2/3))
(/ (asin (/ g h)) -3)
(asin (/ g h))
(/ g h)
g
h
-3
(* (PI) 2/3)
(PI)
2/3
(* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3))))
1/2
(sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))
(* 2 (+ (* (- 0 (sin (/ (acos (/ -1 (/ h g))) 3))) (sin (* (PI) 2/3))) (* (cos (* (PI) 2/3)) (cos (/ (acos (/ -1 (/ h g))) 3)))))
2
(+ (* (- 0 (sin (/ (acos (/ -1 (/ h g))) 3))) (sin (* (PI) 2/3))) (* (cos (* (PI) 2/3)) (cos (/ (acos (/ -1 (/ h g))) 3))))
(- 0 (sin (/ (acos (/ -1 (/ h g))) 3)))
0
(sin (/ (acos (/ -1 (/ h g))) 3))
(/ (acos (/ -1 (/ h g))) 3)
(acos (/ -1 (/ h g)))
(/ -1 (/ h g))
-1
(/ h g)
h
g
3
(sin (* (PI) 2/3))
(* (PI) 2/3)
(PI)
2/3
(* (cos (* (PI) 2/3)) (cos (/ (acos (/ -1 (/ h g))) 3)))
(cos (* (PI) 2/3))
(cos (/ (acos (/ -1 (/ h g))) 3))
(* 2 (/ (- 2 (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) 2)))
2
(/ (- 2 (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) 2))
(- 2 (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))))))
(* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))
(/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3)))))
(+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))
(cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))
(+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))
(* (PI) 2/3)
(PI)
2/3
(/ (acos (/ -1 (/ h g))) 3)
(acos (/ -1 (/ h g)))
(/ -1 (/ h g))
-1
(/ h g)
h
g
3
(cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3)))
(+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))
(/ (acos (/ -1 (/ h g))) -3)
-3
(- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))))
(* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) 2)

Outputs
(* 2 (/ (- (* 1 (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) 1)) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))))))))
(+.f64 (-.f64 (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64))))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))))
2
#s(literal 2 binary64)
(/ (- (* 1 (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) 1)) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))))
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(- (* 1 (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) 1))
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(* 1 (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))))))
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1
#s(literal 1 binary64)
(/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))
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(- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))))
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(cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3)))
(cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64))))
(+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))
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(* (PI) 2/3)
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(PI)
(PI.f64)
2/3
#s(literal 2/3 binary64)
(/ (acos (/ -1 (/ h g))) -3)
(/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64))
(acos (/ -1 (/ h g)))
(acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g)))
(/ -1 (/ h g))
(/.f64 #s(literal -1 binary64) (/.f64 h g))
-1
#s(literal -1 binary64)
(/ h g)
(/.f64 h g)
h
g
-3
#s(literal -3 binary64)
(cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))
(cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))))
(+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))
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(/ (acos (/ -1 (/ h g))) 3)
(/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) 1)
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(/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3)))))
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(+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))
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(* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))))))
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(* 2 (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))))
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2
#s(literal 2 binary64)
(cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))
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(+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))
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(PI)
(PI.f64)
2/3
#s(literal 2/3 binary64)
(/ (acos (/ -1 (/ h g))) 3)
(/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))
(acos (/ -1 (/ h g)))
(acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g)))
(/ -1 (/ h g))
(/.f64 #s(literal -1 binary64) (/.f64 h g))
-1
#s(literal -1 binary64)
(/ h g)
(/.f64 h g)
h
g
3
#s(literal 3 binary64)
(* 2 (+ (* (/ (sqrt 3) 2) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))) (* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3))))))
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2
#s(literal 2 binary64)
(+ (* (/ (sqrt 3) 2) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))) (* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))))
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(* (/ (sqrt 3) 2) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3))))
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(/ (sqrt 3) 2)
(/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64))
(sqrt 3)
(sqrt.f64 #s(literal 3 binary64))
3
#s(literal 3 binary64)
(cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))
(cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64))))
(- (/ (asin (/ g h)) -3) (* (PI) 2/3))
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(/ (asin (/ g h)) -3)
(/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64))
(asin (/ g h))
(asin.f64 (/.f64 g h))
(/ g h)
(/.f64 g h)
g
h
-3
#s(literal -3 binary64)
(* (PI) 2/3)
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(PI)
(PI.f64)
2/3
#s(literal 2/3 binary64)
(* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3))))
(.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))))
1/2
#s(literal 1/2 binary64)
(sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))
(sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64))))
(* 2 (+ (* (- 0 (sin (/ (acos (/ -1 (/ h g))) 3))) (sin (* (PI) 2/3))) (* (cos (* (PI) 2/3)) (cos (/ (acos (/ -1 (/ h g))) 3)))))
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2
#s(literal 2 binary64)
(+ (* (- 0 (sin (/ (acos (/ -1 (/ h g))) 3))) (sin (* (PI) 2/3))) (* (cos (* (PI) 2/3)) (cos (/ (acos (/ -1 (/ h g))) 3))))
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(- 0 (sin (/ (acos (/ -1 (/ h g))) 3)))
(-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))))
0
#s(literal 0 binary64)
(sin (/ (acos (/ -1 (/ h g))) 3))
(sin.f64 (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))
(/ (acos (/ -1 (/ h g))) 3)
(/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))
(acos (/ -1 (/ h g)))
(acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g)))
(/ -1 (/ h g))
(/.f64 #s(literal -1 binary64) (/.f64 h g))
-1
#s(literal -1 binary64)
(/ h g)
(/.f64 h g)
h
g
3
#s(literal 3 binary64)
(sin (* (PI) 2/3))
(sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(* (PI) 2/3)
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(PI)
(PI.f64)
2/3
#s(literal 2/3 binary64)
(* (cos (* (PI) 2/3)) (cos (/ (acos (/ -1 (/ h g))) 3)))
(.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))))
(cos (* (PI) 2/3))
(cos.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(cos (/ (acos (/ -1 (/ h g))) 3))
(cos.f64 (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))
(* 2 (/ (- 2 (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) 2)))
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2
#s(literal 2 binary64)
(/ (- 2 (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) 2))
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(- 2 (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))))))
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(* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))
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(/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3)))))
(/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))))))
(+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))
(+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))))
(cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))
(cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))))
(+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))
(+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))
(* (PI) 2/3)
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(PI)
(PI.f64)
2/3
#s(literal 2/3 binary64)
(/ (acos (/ -1 (/ h g))) 3)
(/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))
(acos (/ -1 (/ h g)))
(acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g)))
(/ -1 (/ h g))
(/.f64 #s(literal -1 binary64) (/.f64 h g))
-1
#s(literal -1 binary64)
(/ h g)
(/.f64 h g)
h
g
3
#s(literal 3 binary64)
(cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3)))
(cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64))))
(+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))
(+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))
(/ (acos (/ -1 (/ h g))) -3)
(/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))))
(-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))))
(* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) 2)
(/.f64 #s(literal 4 binary64) (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))))))

localize1.2s (8.3%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.4%	(*.f64 (PI.f64) #s(literal 2/3 binary64))
✓	accuracy	98.4%	(+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))
✓	accuracy	97.9%	(/.f64 #s(literal -1 binary64) (/.f64 h g))
✓	accuracy	7.0%	(cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64))))
✓	accuracy	98.4%	(*.f64 (PI.f64) #s(literal 2/3 binary64))
✓	accuracy	98.4%	(sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))
✓	accuracy	97.9%	(/.f64 #s(literal -1 binary64) (/.f64 h g))
✓	accuracy	97.5%	(cos.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))
✓	accuracy	99.7%	(/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64))
✓	accuracy	98.5%	(sin.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
✓	accuracy	98.4%	(*.f64 (PI.f64) #s(literal 2/3 binary64))
✓	accuracy	97.5%	(cos.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
✓	accuracy	98.5%	(/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))
✓	accuracy	98.5%	(cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))))
✓	accuracy	97.9%	(/.f64 #s(literal -1 binary64) (/.f64 h g))
✓	accuracy	55.3%	(fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))
✓	accuracy	98.4%	(*.f64 (PI.f64) #s(literal 2/3 binary64))
✓	accuracy	98.4%	(+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))
✓	accuracy	97.9%	(/.f64 #s(literal -1 binary64) (/.f64 h g))
✓	accuracy	7.0%	(cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64))))

Results

536.0ms	116×	2	valid
441.0ms	128×	1	valid
15.0ms	12×	0	valid

Compiler

Compiled 1509 to 60 computations (96% saved)

Precisions

Click to see histograms. Total time spent on operations: 610.0ms

ival-cos: 165.0ms (27% of total)

ival-mult: 103.0ms (16.9% of total)

backward-pass: 92.0ms (15.1% of total)

ival-sin: 63.0ms (10.3% of total)

compiled-spec: 53.0ms (8.7% of total)

ival-div: 50.0ms (8.2% of total)

...c/correct-round.rkt:119:19: 21.0ms (3.4% of total)

ival-add: 19.0ms (3.1% of total)

ival-sub: 16.0ms (2.6% of total)

ival-acos: 13.0ms (2.1% of total)

ival-sqrt: 5.0ms (0.8% of total)

ival-pi: 4.0ms (0.7% of total)

const: 3.0ms (0.5% of total)

ival-asin: 3.0ms (0.5% of total)

series134.0ms (0.9%)

Counts

30 → 600

Calls

Call 1

Inputs
#<alt (/ (- (* 1 (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) 1)) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))))>
#<alt (* 2 (/ (- (* 1 (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) 1)) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))))))))>
#<alt (* 1 (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))))))>
#<alt (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) 1)>
#<alt (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))>
#<alt (* 2 (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))))>
#<alt (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))>
#<alt (PI)>
#<alt (* 2 (+ (* (/ (sqrt 3) 2) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))) (* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3))))))>
#<alt (+ (* (/ (sqrt 3) 2) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))) (* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))))>
#<alt (* (/ (sqrt 3) 2) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3))))>
#<alt (/ (sqrt 3) 2)>
#<alt (+ (* (- 0 (sin (/ (acos (/ -1 (/ h g))) 3))) (sin (* (PI) 2/3))) (* (cos (* (PI) 2/3)) (cos (/ (acos (/ -1 (/ h g))) 3))))>
#<alt (* 2 (+ (* (- 0 (sin (/ (acos (/ -1 (/ h g))) 3))) (sin (* (PI) 2/3))) (* (cos (* (PI) 2/3)) (cos (/ (acos (/ -1 (/ h g))) 3)))))>
#<alt (- 0 (sin (/ (acos (/ -1 (/ h g))) 3)))>
#<alt (sin (/ (acos (/ -1 (/ h g))) 3))>
#<alt (/ (- 2 (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) 2))>
#<alt (* 2 (/ (- 2 (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) 2)))>
#<alt (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) 2)>
#<alt (- 2 (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))))))>
#<alt (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3)))>
#<alt (/ -1 (/ h g))>
#<alt (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))>
#<alt (* (PI) 2/3)>
#<alt (/ (acos (/ -1 (/ h g))) 3)>
#<alt (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))>
#<alt (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))>
#<alt (/ (asin (/ g h)) -3)>
#<alt (cos (* (PI) 2/3))>
#<alt (sin (* (PI) 2/3))>

Outputs
#<alt (* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))>
#<alt (* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))>
#<alt (* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))>
#<alt (* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))>
#<alt (* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))>
#<alt (* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))>
#<alt (* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))>
#<alt (* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))>
#<alt (* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))>
#<alt (* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))>
#<alt (* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))>
#<alt (* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))>
#<alt (* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))>
#<alt (* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))>
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#<alt (- 2 (* 2 (/ (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))))>
#<alt (- 2 (* 2 (/ (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))))>
#<alt (- 2 (* 2 (/ (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))))>
#<alt (- 2 (* 2 (/ (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))))>
#<alt (- 2 (* 2 (/ (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))))>
#<alt (- 2 (* 2 (/ (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))))>
#<alt (- 2 (* 2 (/ (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))))>
#<alt (- 2 (* 2 (/ (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))))>
#<alt (- 2 (* 2 (/ (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))))>
#<alt (- 2 (* 2 (/ (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))))>
#<alt (- 2 (* 2 (/ (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))))>
#<alt (- 2 (* 2 (/ (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))))>
#<alt (- 2 (* 2 (/ (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (* -1/3 (asin (/ g h)))>
#<alt (* -1/3 (asin (/ g h)))>
#<alt (* -1/3 (asin (/ g h)))>
#<alt (* -1/3 (asin (/ g h)))>
#<alt (* -1/3 (asin (/ g h)))>
#<alt (* -1/3 (asin (/ g h)))>
#<alt (* -1/3 (asin (/ g h)))>
#<alt (* -1/3 (asin (/ g h)))>
#<alt (* -1/3 (asin (/ g h)))>
#<alt (* -1/3 (asin (/ g h)))>
#<alt (* -1/3 (asin (/ g h)))>
#<alt (* -1/3 (asin (/ g h)))>
#<alt (* -1/3 (asin (/ g h)))>
#<alt (* -1/3 (asin (/ g h)))>
#<alt (* -1/3 (asin (/ g h)))>
#<alt (* -1/3 (asin (/ g h)))>
#<alt (* -1/3 (asin (/ g h)))>
#<alt (* -1/3 (asin (/ g h)))>
#<alt (* -1/3 (asin (/ g h)))>
#<alt (* -1/3 (asin (/ g h)))>
#<alt (* -1/3 (asin (/ g h)))>
#<alt (* -1/3 (asin (/ g h)))>
#<alt (* -1/3 (asin (/ g h)))>
#<alt (* -1/3 (asin (/ g h)))>

Calls

150 calls:

Time	Variable		Point	Expression
13.0ms	h	@	inf	(* 2 (+ (* (/ (sqrt 3) 2) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))) (* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3))))))
9.0ms	g	@	inf	(/ (- (* 1 (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) 1)) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))))
6.0ms	h	@	0	(/ (- (* 1 (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) 1)) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))))
6.0ms	h	@	-inf	(/ (- (* 1 (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) 1)) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))))
6.0ms	g	@	-inf	(/ (- (* 1 (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) 1)) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))))

rewrite1.0s (7%)

Algorithm

1×	batch-egg-rewrite

Rules

3032×	`/-lowering-/.f32`
3032×	`/-lowering-/.f64`
2764×	`-lowering-.f32`
2764×	`-lowering-.f64`
1314×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	1202
1	288	718
2	1669	347
0	8683	347

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 2417

Calls

Call 1

Inputs
(/ (- (* 1 (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) 1)) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))))
(* 2 (/ (- (* 1 (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) 1)) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))))))))
(* 1 (/ 2 (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))))))
(* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) 1)
(+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))
(* 2 (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))))
(cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))
(PI)
(* 2 (+ (* (/ (sqrt 3) 2) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))) (* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3))))))
(+ (* (/ (sqrt 3) 2) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))) (* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))))
(* (/ (sqrt 3) 2) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3))))
(/ (sqrt 3) 2)
(+ (* (- 0 (sin (/ (acos (/ -1 (/ h g))) 3))) (sin (* (PI) 2/3))) (* (cos (* (PI) 2/3)) (cos (/ (acos (/ -1 (/ h g))) 3))))
(* 2 (+ (* (- 0 (sin (/ (acos (/ -1 (/ h g))) 3))) (sin (* (PI) 2/3))) (* (cos (* (PI) 2/3)) (cos (/ (acos (/ -1 (/ h g))) 3)))))
(- 0 (sin (/ (acos (/ -1 (/ h g))) 3)))
(sin (/ (acos (/ -1 (/ h g))) 3))
(/ (- 2 (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) 2))
(* 2 (/ (- 2 (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3)))))) (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) 2)))
(* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) 2)
(- 2 (* (/ 2 (+ (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))))) (- (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) 3))))))
(cos (+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3)))
(/ -1 (/ h g))
(+ (* (PI) 2/3) (/ (acos (/ -1 (/ h g))) -3))
(* (PI) 2/3)
(/ (acos (/ -1 (/ h g))) 3)
(cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))
(sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))
(/ (asin (/ g h)) -3)
(cos (* (PI) 2/3))
(sin (* (PI) 2/3))

Outputs
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (sin.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (sin.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64))) (sin.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (.f64 (.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64))) (sin.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))))) (.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (.f64 (sin.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))) (sin.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)))))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))))) (.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (.f64 (sin.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64))))))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))))) (/.f64 #s(literal 2 binary64) (.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))))))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))))) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))))) (/.f64 (.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) #s(literal 2 binary64))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))))) (.f64 (sin.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))) (sin.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)))))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (.f64 (.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))))) (.f64 (sin.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))) (sin.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)))))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))))) (.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (.f64 (neg.f64 (.f64 (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))))) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))))) (.f64 (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))))) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))))) (.f64 (sin.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))) (sin.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)))))) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (.f64 (neg.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))))) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))))) #s(literal 4 binary64))) (.f64 (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 2 binary64)))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))))) (/.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))))))) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))))) #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))))))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))))) (/.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))) (sin.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))))))) (.f64 (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 2 binary64)))))
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(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))) (.f64 (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64))) (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64)))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))) (sin.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64))) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64))) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))))
(+.f64 (.f64 (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal -2/3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64))))) (.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sin.f64 (+.f64 (.f64 (PI.f64) #s(literal -2/3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64))))))
(-.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))))
(sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64))))
(fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64))))))
(fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))))
(fma.f64 (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64))) (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64))))))
(fma.f64 (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64))) (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (.f64 (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64))) (sin.f64 (*.f64 (PI.f64) #s(literal -2/3 binary64)))))
(fma.f64 (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64))) (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))))
(.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) #s(literal 2 binary64)))
(.f64 (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64))))) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64))))) #s(literal 1/2 binary64))
(+.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal -3 binary64)) (neg.f64 (/.f64 (acos.f64 (/.f64 g h)) #s(literal -3 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -3 binary64) (asin.f64 (/.f64 g h)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (asin.f64 (/.f64 g h)) #s(literal 3 binary64)))
(-.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal -3 binary64)) (/.f64 (acos.f64 (/.f64 g h)) #s(literal -3 binary64)))
(-.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))
(neg.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (asin.f64 (/.f64 g h))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -3 binary64) (asin.f64 (/.f64 g h))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -3 binary64) (asin.f64 (/.f64 g h)))))
(/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64))
(/.f64 (asin.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal -3 binary64)) (.f64 #s(literal -3 binary64) (acos.f64 (/.f64 g h)))) #s(literal 9 binary64))
(pow.f64 (/.f64 #s(literal -3 binary64) (asin.f64 (/.f64 g h))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (asin.f64 (/.f64 g h)) #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -3 binary64) (asin.f64 (/.f64 g h))))))
(*.f64 (asin.f64 (/.f64 g h)) #s(literal -1/3 binary64))
(*.f64 (asin.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (asin.f64 (/.f64 g h))) #s(literal -1 binary64)))
(+.f64 (.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)))) (.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)))))
(cos.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(cos.f64 (*.f64 (PI.f64) #s(literal -2/3 binary64)))
(sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))

simplify424.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

2938×	`-lowering-.f32`
2938×	`-lowering-.f64`
1778×	`+-lowering-+.f64`
1778×	`+-lowering-+.f32`
1130×	`--lowering--.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	65	18384
1	163	18240
2	446	17928
3	1978	15624
4	4867	13320
0	8092	13320

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 600

Calls

Call 1

Inputs
(* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))
(* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))
(* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))
(* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))
(* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))
(* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))
(* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))
(* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))
(* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))
(* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))
(* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))
(* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))
(* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))
(* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))
(* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))
(* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))
(* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))
(* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))
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Outputs
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(* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))
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(* 1/4 (* (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (* (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))) (- (* 2 (/ 1 (- (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))) (* 2 (/ 1 (+ (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))) (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))))))
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(cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))
(sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(* -1/3 (asin (/ g h)))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h)))
(* -1/3 (asin (/ g h)))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h)))
(* -1/3 (asin (/ g h)))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h)))
(* -1/3 (asin (/ g h)))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h)))
(* -1/3 (asin (/ g h)))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h)))
(* -1/3 (asin (/ g h)))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h)))
(* -1/3 (asin (/ g h)))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h)))
(* -1/3 (asin (/ g h)))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h)))
(* -1/3 (asin (/ g h)))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h)))
(* -1/3 (asin (/ g h)))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h)))
(* -1/3 (asin (/ g h)))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h)))
(* -1/3 (asin (/ g h)))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h)))
(* -1/3 (asin (/ g h)))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h)))
(* -1/3 (asin (/ g h)))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h)))
(* -1/3 (asin (/ g h)))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h)))
(* -1/3 (asin (/ g h)))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h)))
(* -1/3 (asin (/ g h)))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h)))
(* -1/3 (asin (/ g h)))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h)))
(* -1/3 (asin (/ g h)))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h)))
(* -1/3 (asin (/ g h)))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h)))
(* -1/3 (asin (/ g h)))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h)))
(* -1/3 (asin (/ g h)))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h)))
(* -1/3 (asin (/ g h)))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h)))
(* -1/3 (asin (/ g h)))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h)))

eval1.2s (8.4%)

Compiler: Compiled 566048 to 11207 computations (98% saved)

prune525.0ms (3.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	5709	8	5717
Fresh	1	0	1
Picked	5	0	5
Done	0	1	1
Total	5715	9	5724

Accuracy

100.0%

Counts

5724 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))))))
▶	98.4%	(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 3 binary64))))
▶	98.4%	(.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 2 binary64))) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))))) #s(literal 2 binary64)))
	98.4%	(.f64 #s(literal 2 binary64) (+.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (cos.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64))))) (.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (-.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal -3 binary64)) (/.f64 (acos.f64 (/.f64 g h)) #s(literal -3 binary64))) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))))
▶	100.0%	(.f64 #s(literal 2 binary64) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (cos.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64))))) (.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64)))))))
	98.5%	(.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/3 binary64) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))))
	98.4%	(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) #s(literal 3 binary64)))))
▶	98.5%	(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))))))))
✓	98.4%	(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)) #s(literal 3 binary64)))))

Compiler

Compiled 473 to 327 computations (30.9% saved)

simplify164.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))) (.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 2 binary64)))
✓	cost-diff	0	(-.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 2 binary64))) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))))))
✓	cost-diff	128	(/.f64 (-.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 2 binary64))) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))))) #s(literal 2 binary64))
✓	cost-diff	128	(.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 2 binary64))) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))))) #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h)))
✓	cost-diff	0	(+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))
✓	cost-diff	0	(sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
✓	cost-diff	0	(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 3 binary64))))
✓	cost-diff	0	(cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))))))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))))))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))))
✓	cost-diff	6272	(fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))))))
✓	cost-diff	0	(+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))
✓	cost-diff	0	(cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))))
✓	cost-diff	128	(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))))))
✓	cost-diff	128	(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
✓	cost-diff	128	(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (cos.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64))))) (.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
✓	cost-diff	256	(.f64 #s(literal 2 binary64) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (cos.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64))))) (.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64)))))))
✓	cost-diff	6336	(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))

Rules

2868×	`-lowering-.f32`
2868×	`-lowering-.f64`
1616×	`fma-lowering-fma.f32`
1616×	`fma-lowering-fma.f64`
1464×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	663
1	123	653
2	247	633
3	546	628
4	1319	628
5	3418	628
0	8106	628

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* 2 (+ (* (* 1/2 (pow (pow 3 -1/2) -1)) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))) (* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3))))))
2
(+ (* (* 1/2 (pow (pow 3 -1/2) -1)) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))) (* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))))
(* (* 1/2 (pow (pow 3 -1/2) -1)) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3))))
(* 1/2 (pow (pow 3 -1/2) -1))
1/2
(pow (pow 3 -1/2) -1)
(pow 3 -1/2)
3
-1/2
-1
(cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))
(- (/ (asin (/ g h)) -3) (* (PI) 2/3))
(/ (asin (/ g h)) -3)
(asin (/ g h))
(/ g h)
g
h
-3
(* (PI) 2/3)
(PI)
2/3
(* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3))))
(sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))
(/ 2 (/ 1 (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3)))))
2
(/ 1 (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3))))
1
(cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3)))
(+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3))
(* (PI) 2/3)
(PI)
2/3
(/ (acos (- 0 (/ g h))) 3)
(acos (- 0 (/ g h)))
(- 0 (/ g h))
0
(/ g h)
g
h
3
(* 2 (cos (+ (* (PI) 2/3) (/ 1 (/ 3 (acos (- 0 (/ g h))))))))
2
(cos (+ (* (PI) 2/3) (/ 1 (/ 3 (acos (- 0 (/ g h)))))))
(+ (* (PI) 2/3) (/ 1 (/ 3 (acos (- 0 (/ g h))))))
(PI)
2/3
(/ 1 (/ 3 (acos (- 0 (/ g h)))))
1
(/ 3 (acos (- 0 (/ g h))))
3
(acos (- 0 (/ g h)))
(- 0 (/ g h))
0
(/ g h)
g
h
(+ (sin (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))) (* (cos (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))) (sqrt 3)))
(sin (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3)))
(+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))
(* -1/3 (asin (/ g h)))
-1/3
(asin (/ g h))
(/ g h)
g
h
(* (PI) -2/3)
(PI)
-2/3
(* (cos (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))) (sqrt 3))
(cos (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3)))
(sqrt 3)
3
(* 2 (/ (- (* (cos (/ (acos (- 0 (/ g h))) -3)) (* (cos (* (PI) 2/3)) 2)) (- (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3))))) 2))
2
(/ (- (* (cos (/ (acos (- 0 (/ g h))) -3)) (* (cos (* (PI) 2/3)) 2)) (- (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3))))) 2)
(- (* (cos (/ (acos (- 0 (/ g h))) -3)) (* (cos (* (PI) 2/3)) 2)) (- (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3)))))
(* (cos (/ (acos (- 0 (/ g h))) -3)) (* (cos (* (PI) 2/3)) 2))
(cos (/ (acos (- 0 (/ g h))) -3))
(/ (acos (- 0 (/ g h))) -3)
(acos (- 0 (/ g h)))
(- 0 (/ g h))
0
(/ g h)
g
h
-3
(* (cos (* (PI) 2/3)) 2)
(cos (* (PI) 2/3))
(* (PI) 2/3)
(PI)
2/3
(- (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3))))
(cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) -3)))
(+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) -3))
(cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3)))
(+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3))
(/ (acos (- 0 (/ g h))) 3)
3

Outputs
(* 2 (+ (* (* 1/2 (pow (pow 3 -1/2) -1)) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))) (* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3))))))
(+.f64 (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
2
#s(literal 2 binary64)
(+ (* (* 1/2 (pow (pow 3 -1/2) -1)) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))) (* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))))
(* (* 1/2 (pow (pow 3 -1/2) -1)) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3))))
(.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))) (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))))
(* 1/2 (pow (pow 3 -1/2) -1))
(/.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(pow (pow 3 -1/2) -1)
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(pow 3 -1/2)
(pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))
3
#s(literal 3 binary64)
-1/2
#s(literal -1/2 binary64)
-1
#s(literal -1 binary64)
(cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))
(cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64))))
(- (/ (asin (/ g h)) -3) (* (PI) 2/3))
(+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64)))
(/ (asin (/ g h)) -3)
(/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64))
(asin (/ g h))
(asin.f64 (/.f64 g h))
(/ g h)
(/.f64 g h)
g
h
-3
#s(literal -3 binary64)
(* (PI) 2/3)
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(PI)
(PI.f64)
2/3
#s(literal 2/3 binary64)
(* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3))))
(.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))))
(sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))
(sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64))))
(/ 2 (/ 1 (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))))
2
#s(literal 2 binary64)
(/ 1 (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3))))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))))
1
#s(literal 1 binary64)
(cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3)))
(cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))))
(+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3))
(+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))
(* (PI) 2/3)
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(PI)
(PI.f64)
2/3
#s(literal 2/3 binary64)
(/ (acos (- 0 (/ g h))) 3)
(/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))
(acos (- 0 (/ g h)))
(acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))
(- 0 (/ g h))
(-.f64 #s(literal 0 binary64) (/.f64 g h))
0
#s(literal 0 binary64)
(/ g h)
(/.f64 g h)
g
h
3
#s(literal 3 binary64)
(* 2 (cos (+ (* (PI) 2/3) (/ 1 (/ 3 (acos (- 0 (/ g h))))))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)))))
2
#s(literal 2 binary64)
(cos (+ (* (PI) 2/3) (/ 1 (/ 3 (acos (- 0 (/ g h)))))))
(cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64))))
(+ (* (PI) 2/3) (/ 1 (/ 3 (acos (- 0 (/ g h))))))
(+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)))
(PI)
(PI.f64)
2/3
#s(literal 2/3 binary64)
(/ 1 (/ 3 (acos (- 0 (/ g h)))))
(*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64))
1
#s(literal 1 binary64)
(/ 3 (acos (- 0 (/ g h))))
(/.f64 #s(literal 3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))))
3
#s(literal 3 binary64)
(acos (- 0 (/ g h)))
(acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))
(- 0 (/ g h))
(-.f64 #s(literal 0 binary64) (/.f64 g h))
0
#s(literal 0 binary64)
(/ g h)
(/.f64 g h)
g
h
(+ (sin (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))) (* (cos (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))) (sqrt 3)))
(+.f64 (sin.f64 (+.f64 (.f64 (asin.f64 (/.f64 g h)) #s(literal -1/3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (asin.f64 (/.f64 g h)) #s(literal 1/3 binary64)))) (sqrt.f64 #s(literal 3 binary64))))
(sin (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3)))
(sin.f64 (+.f64 (.f64 (asin.f64 (/.f64 g h)) #s(literal -1/3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64))))
(+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))
(+.f64 (.f64 (asin.f64 (/.f64 g h)) #s(literal -1/3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))
(* -1/3 (asin (/ g h)))
(*.f64 (asin.f64 (/.f64 g h)) #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(asin (/ g h))
(asin.f64 (/.f64 g h))
(/ g h)
(/.f64 g h)
g
h
(* (PI) -2/3)
(*.f64 (PI.f64) #s(literal -2/3 binary64))
(PI)
(PI.f64)
-2/3
#s(literal -2/3 binary64)
(* (cos (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))) (sqrt 3))
(.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (asin.f64 (/.f64 g h)) #s(literal 1/3 binary64)))) (sqrt.f64 #s(literal 3 binary64)))
(cos (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3)))
(cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (asin.f64 (/.f64 g h)) #s(literal 1/3 binary64))))
(sqrt 3)
(sqrt.f64 #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* 2 (/ (- (* (cos (/ (acos (- 0 (/ g h))) -3)) (* (cos (* (PI) 2/3)) 2)) (- (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3))))) 2))
(+.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))) (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))))) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))))))
2
#s(literal 2 binary64)
(/ (- (* (cos (/ (acos (- 0 (/ g h))) -3)) (* (cos (* (PI) 2/3)) 2)) (- (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3))))) 2)
(+.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))) (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)))) (/.f64 (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))))) #s(literal -2 binary64)))
(- (* (cos (/ (acos (- 0 (/ g h))) -3)) (* (cos (* (PI) 2/3)) 2)) (- (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3)))))
(+.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))) (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))))) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))))))
(* (cos (/ (acos (- 0 (/ g h))) -3)) (* (cos (* (PI) 2/3)) 2))
(.f64 (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))) (.f64 #s(literal 2 binary64) (cos.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))))
(cos (/ (acos (- 0 (/ g h))) -3))
(cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))
(/ (acos (- 0 (/ g h))) -3)
(/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))
(acos (- 0 (/ g h)))
(acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))
(- 0 (/ g h))
(-.f64 #s(literal 0 binary64) (/.f64 g h))
0
#s(literal 0 binary64)
(/ g h)
(/.f64 g h)
g
h
-3
#s(literal -3 binary64)
(* (cos (* (PI) 2/3)) 2)
(.f64 #s(literal 2 binary64) (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))))
(cos (* (PI) 2/3))
(cos.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(* (PI) 2/3)
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(PI)
(PI.f64)
2/3
#s(literal 2/3 binary64)
(- (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3))))
(-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))))
(cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) -3)))
(cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))))
(+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) -3))
(+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))
(cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3)))
(cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))))
(+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3))
(+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))
(/ (acos (- 0 (/ g h))) 3)
(/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))
3
#s(literal 3 binary64)

localize1.0s (7%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.4%	(*.f64 (PI.f64) #s(literal 2/3 binary64))
✓	accuracy	98.4%	(+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))
✓	accuracy	97.5%	(cos.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))
✓	accuracy	7.0%	(cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))))
✓	accuracy	99.6%	(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h)))
✓	accuracy	98.5%	(sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
✓	accuracy	98.4%	(*.f64 (PI.f64) #s(literal -2/3 binary64))
✓	accuracy	97.5%	(cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))))
✓	accuracy	99.9%	(fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))))))
✓	accuracy	98.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))))
✓	accuracy	98.5%	(cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))))))
✓	accuracy	98.5%	(+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))
✓	accuracy	98.5%	(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))))))
✓	accuracy	98.5%	(cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))))
✓	accuracy	98.4%	(*.f64 (PI.f64) #s(literal 2/3 binary64))
✓	accuracy	98.5%	(sin.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
✓	accuracy	98.4%	(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
✓	accuracy	98.4%	(*.f64 (PI.f64) #s(literal 2/3 binary64))
✓	accuracy	97.5%	(cos.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal 2/3 binary64))))

Results

499.0ms	117×	2	valid
364.0ms	128×	1	valid
13.0ms	11×	0	valid

Compiler

Compiled 736 to 60 computations (91.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 530.0ms

ival-cos: 183.0ms (34.6% of total)

backward-pass: 78.0ms (14.7% of total)

ival-mult: 56.0ms (10.6% of total)

ival-sin: 42.0ms (7.9% of total)

ival-div: 41.0ms (7.7% of total)

...c/correct-round.rkt:119:19: 36.0ms (6.8% of total)

ival-pow: 25.0ms (4.7% of total)

ival-add: 18.0ms (3.4% of total)

ival-sub: 15.0ms (2.8% of total)

ival-acos: 11.0ms (2.1% of total)

compiled-spec: 11.0ms (2.1% of total)

ival-asin: 5.0ms (0.9% of total)

ival-sqrt: 4.0ms (0.8% of total)

const: 3.0ms (0.6% of total)

ival-pi: 3.0ms (0.6% of total)

series88.0ms (0.6%)

Counts

29 → 576

Calls

Call 1

Inputs
#<alt (pow (pow 3 -1/2) -1)>
#<alt (* 2 (+ (* (* 1/2 (pow (pow 3 -1/2) -1)) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))) (* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3))))))>
#<alt (+ (* (* 1/2 (pow (pow 3 -1/2) -1)) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))) (* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))))>
#<alt (* 1/2 (pow (pow 3 -1/2) -1))>
#<alt (/ 2 (/ 1 (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3)))))>
#<alt (/ 1 (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3))))>
#<alt (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3)))>
#<alt (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3))>
#<alt (+ (* (PI) 2/3) (/ 1 (/ 3 (acos (- 0 (/ g h))))))>
#<alt (/ 1 (/ 3 (acos (- 0 (/ g h)))))>
#<alt (* 2 (cos (+ (* (PI) 2/3) (/ 1 (/ 3 (acos (- 0 (/ g h))))))))>
#<alt (cos (+ (* (PI) 2/3) (/ 1 (/ 3 (acos (- 0 (/ g h)))))))>
#<alt (+ (sin (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))) (* (cos (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))) (sqrt 3)))>
#<alt (sin (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3)))>
#<alt (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))>
#<alt (* -1/3 (asin (/ g h)))>
#<alt (* 2 (/ (- (* (cos (/ (acos (- 0 (/ g h))) -3)) (* (cos (* (PI) 2/3)) 2)) (- (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3))))) 2))>
#<alt (/ (- (* (cos (/ (acos (- 0 (/ g h))) -3)) (* (cos (* (PI) 2/3)) 2)) (- (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3))))) 2)>
#<alt (- (* (cos (/ (acos (- 0 (/ g h))) -3)) (* (cos (* (PI) 2/3)) 2)) (- (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3)))))>
#<alt (* (cos (/ (acos (- 0 (/ g h))) -3)) (* (cos (* (PI) 2/3)) 2))>
#<alt (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))>
#<alt (* (PI) 2/3)>
#<alt (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))>
#<alt (/ 3 (acos (- 0 (/ g h))))>
#<alt (cos (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3)))>
#<alt (* (PI) -2/3)>
#<alt (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) -3)))>
#<alt (cos (* (PI) 2/3))>
#<alt (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) -3))>

Outputs
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))>
#<alt (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))>
#<alt (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))>
#<alt (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))>
#<alt (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))>
#<alt (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))>
#<alt (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))>
#<alt (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))>
#<alt (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))>
#<alt (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))>
#<alt (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))>
#<alt (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))>
#<alt (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))>
#<alt (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))>
#<alt (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))>
#<alt (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))>
#<alt (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))>
#<alt (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))>
#<alt (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))>
#<alt (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))>
#<alt (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))>
#<alt (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))>
#<alt (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))>
#<alt (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (* 2 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (/ 1 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (/ 1 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (/ 1 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (/ 1 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (/ 1 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (/ 1 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (/ 1 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (/ 1 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (/ 1 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (/ 1 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (/ 1 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (/ 1 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))>
#<alt (/ 1 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (/ 1 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (/ 1 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (/ 1 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (/ 1 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (/ 1 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (/ 1 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (/ 1 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (/ 1 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (/ 1 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (/ 1 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (/ 1 (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))))>
#<alt (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
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#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))>
#<alt (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))>

Calls

144 calls:

Time	Variable		Point	Expression
23.0ms	h	@	-inf	(/ 2 (/ 1 (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3)))))
3.0ms	h	@	inf	(* 2 (/ (- (* (cos (/ (acos (- 0 (/ g h))) -3)) (* (cos (* (PI) 2/3)) 2)) (- (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3))))) 2))
2.0ms	h	@	-inf	(* 2 (/ (- (* (cos (/ (acos (- 0 (/ g h))) -3)) (* (cos (* (PI) 2/3)) 2)) (- (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3))))) 2))
2.0ms	g	@	inf	(* 2 (/ (- (* (cos (/ (acos (- 0 (/ g h))) -3)) (* (cos (* (PI) 2/3)) 2)) (- (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3))))) 2))
2.0ms	g	@	0	(* 2 (/ (- (* (cos (/ (acos (- 0 (/ g h))) -3)) (* (cos (* (PI) 2/3)) 2)) (- (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3))))) 2))

rewrite673.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3334×	`-lowering-.f32`
3334×	`-lowering-.f64`
1874×	`+-lowering-+.f64`
1874×	`+-lowering-+.f32`
1248×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	330
1	255	316
2	1049	308
3	6065	308
0	8065	308

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 1178

Calls

Call 1

Inputs
(pow (pow 3 -1/2) -1)
(* 2 (+ (* (* 1/2 (pow (pow 3 -1/2) -1)) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))) (* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3))))))
(+ (* (* 1/2 (pow (pow 3 -1/2) -1)) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))) (* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))))
(* 1/2 (pow (pow 3 -1/2) -1))
(/ 2 (/ 1 (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3)))))
(/ 1 (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3))))
(cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3)))
(+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3))
(+ (* (PI) 2/3) (/ 1 (/ 3 (acos (- 0 (/ g h))))))
(/ 1 (/ 3 (acos (- 0 (/ g h)))))
(* 2 (cos (+ (* (PI) 2/3) (/ 1 (/ 3 (acos (- 0 (/ g h))))))))
(cos (+ (* (PI) 2/3) (/ 1 (/ 3 (acos (- 0 (/ g h)))))))
(+ (sin (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))) (* (cos (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))) (sqrt 3)))
(sin (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3)))
(+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))
(* -1/3 (asin (/ g h)))
(* 2 (/ (- (* (cos (/ (acos (- 0 (/ g h))) -3)) (* (cos (* (PI) 2/3)) 2)) (- (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3))))) 2))
(/ (- (* (cos (/ (acos (- 0 (/ g h))) -3)) (* (cos (* (PI) 2/3)) 2)) (- (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3))))) 2)
(- (* (cos (/ (acos (- 0 (/ g h))) -3)) (* (cos (* (PI) 2/3)) 2)) (- (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) 3)))))
(* (cos (/ (acos (- 0 (/ g h))) -3)) (* (cos (* (PI) 2/3)) 2))
(cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))
(* (PI) 2/3)
(sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))
(/ 3 (acos (- 0 (/ g h))))
(cos (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3)))
(* (PI) -2/3)
(cos (+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) -3)))
(cos (* (PI) 2/3))
(+ (* (PI) 2/3) (/ (acos (- 0 (/ g h))) -3))

Outputs
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/3 binary64))))
(sqrt.f64 #s(literal 3 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))))
(pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/2 binary64))
(+.f64 (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(+.f64 (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (+.f64 (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64))) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64))))) (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))) (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64))) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))) (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64))) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))) (+.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))) (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))))
(+.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))))
(+.f64 (.f64 (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64))) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (+.f64 (.f64 (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64))))))
(+.f64 (+.f64 (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))) (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64))) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64))))))
(+.f64 (+.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))) (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))) (.f64 (sin.f64 (*.f64 (PI.f64) #s(literal -2/3 binary64))) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))))
(+.f64 (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64))) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))) (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))) (.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64))) (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))))
(+.f64 (+.f64 (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (.f64 (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64))) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (.f64 (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64))) (.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64))) (sqrt.f64 #s(literal 3 binary64)))))
(-.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))) (-.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))) (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))) (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))) (.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 3 binary64))) (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64))))) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64))))) (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64))) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64))))) (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64))))) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))))
(fma.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 3 binary64)) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 3 binary64))) (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64))))) #s(literal 2 binary64) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))))
(fma.f64 (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64))))) #s(literal 2 binary64) (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 3 binary64)) (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))))
(fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64))) (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64))) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))) (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))))
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(-.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal 3 binary64))) (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64))) (sin.f64 (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal 3 binary64)))))
(-.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal 3 binary64))) (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)))) (-.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64))) (sin.f64 (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal 3 binary64)))) (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64))) (sin.f64 (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal -3 binary64)))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64))) (sin.f64 (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal 3 binary64)))))))
(-.f64 (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal -3 binary64)) (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal 3 binary64))))) (.f64 (sin.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal -3 binary64)))) (sin.f64 (+.f64 (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal -3 binary64)) (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal 3 binary64))))))
(-.f64 (.f64 (cos.f64 (-.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (PI.f64) #s(literal 6 binary64)))) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))) (.f64 (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (PI.f64) #s(literal 6 binary64)))) (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))))
(fma.f64 (cos.f64 (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal 3 binary64))) (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64))) (sin.f64 (/.f64 (acos.f64 (*.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal -3 binary64)))))
(fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal 3 binary64))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64))) (sin.f64 (/.f64 (acos.f64 (*.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal -3 binary64)))))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal 3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal -3 binary64))))) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal 3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal -3 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal 3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal -3 binary64))))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal 3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal -3 binary64))))))) #s(literal 4 binary64))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)))) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)))))
(cos.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(cos.f64 (*.f64 (PI.f64) #s(literal -2/3 binary64)))
(-.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)))) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64)))))
(+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal -3 binary64)))
(+.f64 (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64)))
(+.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal -3 binary64))) (+.f64 (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal -3 binary64)) (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal 3 binary64))))
(+.f64 (-.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (PI.f64) #s(literal 6 binary64))) (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))
(-.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal 3 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal -6 binary64)) (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal 3 binary64)) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
(-.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (PI.f64) #s(literal -6 binary64))) (/.f64 (asin.f64 (/.f64 g h)) #s(literal 3 binary64)))
(fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 (acos.f64 (*.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal -3 binary64)))
(fma.f64 #s(literal 2/3 binary64) (PI.f64) (/.f64 (acos.f64 (*.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal -3 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal -3 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64)))
(fma.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal -1/3 binary64) (.f64 (PI.f64) #s(literal 2/3 binary64)))
(fma.f64 #s(literal -1/3 binary64) (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) (.f64 (PI.f64) #s(literal 2/3 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 #s(literal 2/3 binary64) (cbrt.f64 (PI.f64))) (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal -3 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64))) (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal -3 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h)))) #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 2/3 binary64)))
(fma.f64 (.f64 #s(literal 2/3 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal -3 binary64)))
(fma.f64 (.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal -3 binary64)))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (*.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal -3 binary64))))

simplify335.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

3644×	`-lowering-.f32`
3644×	`-lowering-.f64`
1642×	`fma-lowering-fma.f32`
1642×	`fma-lowering-fma.f64`
1600×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	67	9144
1	152	9000
2	252	8952
3	407	8952
4	672	8856
5	1523	8856
6	2584	8856
7	4739	8856
0	8900	8856

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 576

Calls

Call 1

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

Outputs
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
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(cos.f64 (+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h))))))
(cos (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h))))))
(cos (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h))))))
(cos (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h))))))
(cos (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h))))))
(cos (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h))))))
(cos (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h))))))
(cos (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h))))))
(cos (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h))))))
(cos (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h))))))
(cos (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h))))))
(cos (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h))))))
(cos (+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI))))
(cos.f64 (+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h))))))
(+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h)))))
(+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h)))))
(+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h)))))
(+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h)))))
(+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h)))))
(+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h)))))
(+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h)))))
(+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h)))))
(+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h)))))
(+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h)))))
(+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h)))))
(+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h)))))
(+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h)))))
(+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h)))))
(+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h)))))
(+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h)))))
(+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h)))))
(+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h)))))
(+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h)))))
(+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h)))))
(+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h)))))
(+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h)))))
(+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h)))))
(+ (* -1/3 (acos (neg (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h)))))

eval349.0ms (2.4%)

Compiler: Compiled 81932 to 4224 computations (94.8% saved)

prune178.0ms (1.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	2159	3	2162
Fresh	1	2	3
Picked	3	2	5
Done	0	1	1
Total	2163	8	2171

Accuracy

100.0%

Counts

2171 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))))))
▶	98.4%	(-.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))))) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal 3 binary64))))))
▶	98.5%	(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
▶	100.0%	(.f64 #s(literal 2 binary64) (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))) (cos.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64))))) (.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))))
▶	98.5%	(.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/3 binary64) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))))
▶	98.4%	(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) #s(literal 3 binary64)))))
✓	98.5%	(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))))))))
✓	98.4%	(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)) #s(literal 3 binary64)))))

Compiler

Compiled 344 to 232 computations (32.6% saved)

simplify167.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (acos.f64 (*.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal 3 binary64))
✓	cost-diff	0	(cos.f64 (/.f64 (acos.f64 (*.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal 3 binary64)))
✓	cost-diff	0	(.f64 (cos.f64 (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)))))
✓	cost-diff	0	(-.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))))) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal 3 binary64))))))
✓	cost-diff	0	(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h)))
✓	cost-diff	0	(+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))
✓	cost-diff	0	(sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
✓	cost-diff	0	(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
✓	cost-diff	0	(cos.f64 (fma.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 2/3 binary64) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))))
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/3 binary64) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))))
✓	cost-diff	6272	(fma.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 2/3 binary64) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))
✓	cost-diff	6656	(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) #s(literal 3 binary64))))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) #s(literal 3 binary64)))))
✓	cost-diff	6272	(fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) #s(literal 3 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
✓	cost-diff	0	(.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))) (cos.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64)))))
✓	cost-diff	128	(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))) (cos.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64))))) (.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64))))))
✓	cost-diff	256	(.f64 #s(literal 2 binary64) (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))) (cos.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64))))) (.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))))

Rules

1772×	`-lowering-.f32`
1772×	`-lowering-.f64`
1652×	`sum5-define`
1610×	`fma-lowering-fma.f32`
1610×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	66	558
1	129	548
2	217	531
3	368	530
4	644	530
5	1522	530
6	2648	530
7	4272	530
8	6584	529
0	8162	529

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* 2 (+ (* (/ 1/2 (pow 3 -1/2)) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))) (* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3))))))
2
(+ (* (/ 1/2 (pow 3 -1/2)) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))) (* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))))
(* (/ 1/2 (pow 3 -1/2)) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3))))
(/ 1/2 (pow 3 -1/2))
1/2
(pow 3 -1/2)
3
-1/2
(cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))
(- (/ (asin (/ g h)) -3) (* (PI) 2/3))
(/ (asin (/ g h)) -3)
(asin (/ g h))
(/ g h)
g
h
-3
(* (PI) 2/3)
(PI)
2/3
(* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3))))
(sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))
(* 2 (cos (+ (* (PI) 2/3) (/ (acos (neg (/ g h))) 3))))
2
(cos (+ (* (PI) 2/3) (/ (acos (neg (/ g h))) 3)))
(+ (* (PI) 2/3) (/ (acos (neg (/ g h))) 3))
(PI)
2/3
(/ (acos (neg (/ g h))) 3)
(acos (neg (/ g h)))
(neg (/ g h))
(/ g h)
g
h
3
(* 2 (cos (+ (* (cbrt (* (PI) (* (PI) (PI)))) 2/3) (/ (acos (/ -1 (/ h g))) 3))))
2
(cos (+ (* (cbrt (* (PI) (* (PI) (PI)))) 2/3) (/ (acos (/ -1 (/ h g))) 3)))
(+ (* (cbrt (* (PI) (* (PI) (PI)))) 2/3) (/ (acos (/ -1 (/ h g))) 3))
(cbrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
2/3
(/ (acos (/ -1 (/ h g))) 3)
(acos (/ -1 (/ h g)))
(/ -1 (/ h g))
-1
(/ h g)
h
g
3
(+ (sin (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))) (/ (cos (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))) (sqrt 1/3)))
(sin (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3)))
(+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))
(* -1/3 (asin (/ g h)))
-1/3
(asin (/ g h))
(/ g h)
g
h
(* (PI) -2/3)
(PI)
-2/3
(/ (cos (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))) (sqrt 1/3))
(cos (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3)))
(sqrt 1/3)
1/3
(- (* (cos (/ (acos (* g (/ -1 h))) 3)) (* 2 (cos (* (PI) 2/3)))) (- (cos (+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) 3)))))
(* (cos (/ (acos (* g (/ -1 h))) 3)) (* 2 (cos (* (PI) 2/3))))
(cos (/ (acos (* g (/ -1 h))) 3))
(/ (acos (* g (/ -1 h))) 3)
(acos (* g (/ -1 h)))
(* g (/ -1 h))
g
(/ -1 h)
-1
h
3
(* 2 (cos (* (PI) 2/3)))
2
(cos (* (PI) 2/3))
(* (PI) 2/3)
(PI)
2/3
(- (cos (+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) 3))))
(cos (+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) -3)))
(+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) -3))
(/ (acos (* g (/ -1 h))) -3)
-3
(cos (+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) 3)))
(+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) 3))

Outputs
(* 2 (+ (* (/ 1/2 (pow 3 -1/2)) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))) (* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3))))))
(+.f64 (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
2
#s(literal 2 binary64)
(+ (* (/ 1/2 (pow 3 -1/2)) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))) (* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))))
(* (/ 1/2 (pow 3 -1/2)) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3))))
(/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64))))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(/ 1/2 (pow 3 -1/2))
(/.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(pow 3 -1/2)
(pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))
3
#s(literal 3 binary64)
-1/2
#s(literal -1/2 binary64)
(cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))
(cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64))))
(- (/ (asin (/ g h)) -3) (* (PI) 2/3))
(+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64)))
(/ (asin (/ g h)) -3)
(/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64))
(asin (/ g h))
(asin.f64 (/.f64 g h))
(/ g h)
(/.f64 g h)
g
h
-3
#s(literal -3 binary64)
(* (PI) 2/3)
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(PI)
(PI.f64)
2/3
#s(literal 2/3 binary64)
(* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3))))
(.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))))
(sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))
(sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64))))
(* 2 (cos (+ (* (PI) 2/3) (/ (acos (neg (/ g h))) 3))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))))
2
#s(literal 2 binary64)
(cos (+ (* (PI) 2/3) (/ (acos (neg (/ g h))) 3)))
(cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))))
(+ (* (PI) 2/3) (/ (acos (neg (/ g h))) 3))
(+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))
(PI)
(PI.f64)
2/3
#s(literal 2/3 binary64)
(/ (acos (neg (/ g h))) 3)
(/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))
(acos (neg (/ g h)))
(acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))
(neg (/ g h))
(-.f64 #s(literal 0 binary64) (/.f64 g h))
(/ g h)
(/.f64 g h)
g
h
3
#s(literal 3 binary64)
(* 2 (cos (+ (* (cbrt (* (PI) (* (PI) (PI)))) 2/3) (/ (acos (/ -1 (/ h g))) 3))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))))
2
#s(literal 2 binary64)
(cos (+ (* (cbrt (* (PI) (* (PI) (PI)))) 2/3) (/ (acos (/ -1 (/ h g))) 3)))
(cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))))
(+ (* (cbrt (* (PI) (* (PI) (PI)))) 2/3) (/ (acos (/ -1 (/ h g))) 3))
(+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))
(cbrt (* (PI) (* (PI) (PI))))
(PI.f64)
(* (PI) (* (PI) (PI)))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
2/3
#s(literal 2/3 binary64)
(/ (acos (/ -1 (/ h g))) 3)
(/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))
(acos (/ -1 (/ h g)))
(acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))
(/ -1 (/ h g))
(-.f64 #s(literal 0 binary64) (/.f64 g h))
-1
#s(literal -1 binary64)
(/ h g)
(/.f64 h g)
h
g
3
#s(literal 3 binary64)
(+ (sin (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))) (/ (cos (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))) (sqrt 1/3)))
(+.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))))
(sin (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3)))
(sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64))))
(+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))
(+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64)))
(* -1/3 (asin (/ g h)))
(/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64))
-1/3
#s(literal -1/3 binary64)
(asin (/ g h))
(asin.f64 (/.f64 g h))
(/ g h)
(/.f64 g h)
g
h
(* (PI) -2/3)
(*.f64 (PI.f64) #s(literal -2/3 binary64))
(PI)
(PI.f64)
-2/3
#s(literal -2/3 binary64)
(/ (cos (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))) (sqrt 1/3))
(/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))
(cos (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3)))
(cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64))))
(sqrt 1/3)
(sqrt.f64 #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(- (* (cos (/ (acos (* g (/ -1 h))) 3)) (* 2 (cos (* (PI) 2/3)))) (- (cos (+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) 3)))))
(+.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))))) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))))))
(* (cos (/ (acos (* g (/ -1 h))) 3)) (* 2 (cos (* (PI) 2/3))))
(.f64 (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (cos.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))))
(cos (/ (acos (* g (/ -1 h))) 3))
(cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))
(/ (acos (* g (/ -1 h))) 3)
(/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))
(acos (* g (/ -1 h)))
(acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))
(* g (/ -1 h))
(-.f64 #s(literal 0 binary64) (/.f64 g h))
g
(/ -1 h)
(/.f64 #s(literal -1 binary64) h)
-1
#s(literal -1 binary64)
h
3
#s(literal 3 binary64)
(* 2 (cos (* (PI) 2/3)))
(.f64 #s(literal 2 binary64) (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))))
2
#s(literal 2 binary64)
(cos (* (PI) 2/3))
(cos.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(* (PI) 2/3)
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(PI)
(PI.f64)
2/3
#s(literal 2/3 binary64)
(- (cos (+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) 3))))
(-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))))
(cos (+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) -3)))
(cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))))
(+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) -3))
(+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))
(/ (acos (* g (/ -1 h))) -3)
(/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(cos (+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) 3)))
(cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))))
(+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) 3))
(+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))

localize999.0ms (6.8%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.4%	(*.f64 (PI.f64) #s(literal 2/3 binary64))
✓	accuracy	98.4%	(+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal -3 binary64)))
✓	accuracy	97.5%	(cos.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))
✓	accuracy	7.0%	(cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal -3 binary64))))
✓	accuracy	98.5%	(/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))
✓	accuracy	98.5%	(sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
✓	accuracy	98.4%	(*.f64 (PI.f64) #s(literal -2/3 binary64))
✓	accuracy	97.5%	(cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64))))
✓	accuracy	98.5%	(cos.f64 (fma.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 2/3 binary64) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))))
✓	accuracy	98.4%	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
✓	accuracy	98.4%	(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))
✓	accuracy	97.9%	(/.f64 #s(literal -1 binary64) (/.f64 h g))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.9%	(fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) #s(literal 3 binary64)))
✓	accuracy	98.5%	(/.f64 (acos.f64 (neg.f64 (/.f64 g h))) #s(literal 3 binary64))
✓	accuracy	98.5%	(cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) #s(literal 3 binary64))))
✓	accuracy	98.5%	(sin.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
✓	accuracy	98.4%	(/.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
✓	accuracy	98.4%	(*.f64 (PI.f64) #s(literal 2/3 binary64))
✓	accuracy	97.5%	(cos.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal 2/3 binary64))))

Results

521.0ms	123×	2	valid
335.0ms	123×	1	valid
12.0ms	10×	0	valid

Compiler

Compiled 609 to 66 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 578.0ms

ival-cos: 194.0ms (33.5% of total)

backward-pass: 76.0ms (13.1% of total)

ival-mult: 59.0ms (10.2% of total)

ival-div: 48.0ms (8.3% of total)

ival-sin: 41.0ms (7.1% of total)

...c/correct-round.rkt:119:19: 37.0ms (6.4% of total)

ival-acos: 29.0ms (5% of total)

ival-add: 29.0ms (5% of total)

compiled-spec: 22.0ms (3.8% of total)

ival-pow: 14.0ms (2.4% of total)

ival-sub: 10.0ms (1.7% of total)

ival-sqrt: 5.0ms (0.9% of total)

ival-cbrt: 4.0ms (0.7% of total)

ival-asin: 4.0ms (0.7% of total)

ival-pi: 3.0ms (0.5% of total)

const: 2.0ms (0.3% of total)

ival-neg: 2.0ms (0.3% of total)

series23.0ms (0.2%)

Counts

32 → 600

Calls

Call 1

Inputs
#<alt (* 2 (+ (* (/ 1/2 (pow 3 -1/2)) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))) (* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3))))))>
#<alt (+ (* (/ 1/2 (pow 3 -1/2)) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))) (* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))))>
#<alt (* (/ 1/2 (pow 3 -1/2)) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3))))>
#<alt (/ 1/2 (pow 3 -1/2))>
#<alt (+ (* (PI) 2/3) (/ (acos (neg (/ g h))) 3))>
#<alt (* 2 (cos (+ (* (PI) 2/3) (/ (acos (neg (/ g h))) 3))))>
#<alt (cos (+ (* (PI) 2/3) (/ (acos (neg (/ g h))) 3)))>
#<alt (PI)>
#<alt (cbrt (* (PI) (* (PI) (PI))))>
#<alt (+ (* (cbrt (* (PI) (* (PI) (PI)))) 2/3) (/ (acos (/ -1 (/ h g))) 3))>
#<alt (* 2 (cos (+ (* (cbrt (* (PI) (* (PI) (PI)))) 2/3) (/ (acos (/ -1 (/ h g))) 3))))>
#<alt (cos (+ (* (cbrt (* (PI) (* (PI) (PI)))) 2/3) (/ (acos (/ -1 (/ h g))) 3)))>
#<alt (+ (sin (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))) (/ (cos (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))) (sqrt 1/3)))>
#<alt (sin (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3)))>
#<alt (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))>
#<alt (* -1/3 (asin (/ g h)))>
#<alt (- (* (cos (/ (acos (* g (/ -1 h))) 3)) (* 2 (cos (* (PI) 2/3)))) (- (cos (+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) 3)))))>
#<alt (* (cos (/ (acos (* g (/ -1 h))) 3)) (* 2 (cos (* (PI) 2/3))))>
#<alt (cos (/ (acos (* g (/ -1 h))) 3))>
#<alt (/ (acos (* g (/ -1 h))) 3)>
#<alt (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))>
#<alt (* (PI) 2/3)>
#<alt (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))>
#<alt (/ (acos (neg (/ g h))) 3)>
#<alt (/ -1 (/ h g))>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (cos (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3)))>
#<alt (* (PI) -2/3)>
#<alt (/ (cos (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))) (sqrt 1/3))>
#<alt (cos (+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) -3)))>
#<alt (cos (* (PI) 2/3))>
#<alt (+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) -3))>

Outputs
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
#<alt (* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))>
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#<alt (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))>
#<alt (* 1/3 (acos (neg (/ g h))))>
#<alt (* 1/3 (acos (neg (/ g h))))>
#<alt (* 1/3 (acos (neg (/ g h))))>
#<alt (* 1/3 (acos (neg (/ g h))))>
#<alt (* 1/3 (acos (neg (/ g h))))>
#<alt (* 1/3 (acos (neg (/ g h))))>
#<alt (* 1/3 (acos (neg (/ g h))))>
#<alt (* 1/3 (acos (neg (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (neg (/ g h))))>
#<alt (* 1/3 (acos (neg (/ g h))))>
#<alt (* 1/3 (acos (neg (/ g h))))>
#<alt (* 1/3 (acos (neg (/ g h))))>
#<alt (* 1/3 (acos (neg (/ g h))))>
#<alt (* 1/3 (acos (neg (/ g h))))>
#<alt (* 1/3 (acos (neg (/ g h))))>
#<alt (* 1/3 (acos (neg (/ g h))))>
#<alt (* 1/3 (acos (neg (/ g h))))>
#<alt (* 1/3 (acos (neg (/ g h))))>
#<alt (* 1/3 (acos (neg (/ g h))))>
#<alt (* 1/3 (acos (neg (/ g h))))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (* -1 (/ g h))>
#<alt (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h)))))>
#<alt (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h)))))>
#<alt (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h)))))>
#<alt (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h)))))>
#<alt (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h)))))>
#<alt (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h)))))>
#<alt (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h)))))>
#<alt (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h)))))>
#<alt (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h)))))>
#<alt (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h)))))>
#<alt (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h)))))>
#<alt (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h)))))>
#<alt (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h)))))>
#<alt (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h)))))>
#<alt (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h)))))>
#<alt (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h)))))>
#<alt (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h)))))>
#<alt (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h)))))>
#<alt (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h)))))>
#<alt (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h)))))>
#<alt (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h)))))>
#<alt (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h)))))>
#<alt (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h)))))>
#<alt (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h)))))>
#<alt (/ (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h))))) (sqrt 1/3))>
#<alt (/ (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h))))) (sqrt 1/3))>
#<alt (/ (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h))))) (sqrt 1/3))>
#<alt (/ (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h))))) (sqrt 1/3))>
#<alt (/ (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h))))) (sqrt 1/3))>
#<alt (/ (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h))))) (sqrt 1/3))>
#<alt (/ (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h))))) (sqrt 1/3))>
#<alt (/ (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h))))) (sqrt 1/3))>
#<alt (/ (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h))))) (sqrt 1/3))>
#<alt (/ (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h))))) (sqrt 1/3))>
#<alt (/ (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h))))) (sqrt 1/3))>
#<alt (/ (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h))))) (sqrt 1/3))>
#<alt (/ (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h))))) (sqrt 1/3))>
#<alt (/ (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h))))) (sqrt 1/3))>
#<alt (/ (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h))))) (sqrt 1/3))>
#<alt (/ (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h))))) (sqrt 1/3))>
#<alt (/ (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h))))) (sqrt 1/3))>
#<alt (/ (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h))))) (sqrt 1/3))>
#<alt (/ (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h))))) (sqrt 1/3))>
#<alt (/ (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h))))) (sqrt 1/3))>
#<alt (/ (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h))))) (sqrt 1/3))>
#<alt (/ (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h))))) (sqrt 1/3))>
#<alt (/ (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h))))) (sqrt 1/3))>
#<alt (/ (cos (+ (* -2/3 (PI)) (* -1/3 (asin (/ g h))))) (sqrt 1/3))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>

Calls

150 calls:

Time	Variable		Point	Expression
1.0ms	g	@	inf	(+ (sin (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))) (/ (cos (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))) (sqrt 1/3)))
1.0ms	g	@	-inf	(- (* (cos (/ (acos (* g (/ -1 h))) 3)) (* 2 (cos (* (PI) 2/3)))) (- (cos (+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) 3)))))
0.0ms	g	@	inf	(- (* (cos (/ (acos (* g (/ -1 h))) 3)) (* 2 (cos (* (PI) 2/3)))) (- (cos (+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) 3)))))
0.0ms	h	@	inf	(- (* (cos (/ (acos (* g (/ -1 h))) 3)) (* 2 (cos (* (PI) 2/3)))) (- (cos (+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) 3)))))
0.0ms	g	@	0	(- (* (cos (/ (acos (* g (/ -1 h))) 3)) (* 2 (cos (* (PI) 2/3)))) (- (cos (+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) 3)))))

rewrite293.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

3300×	`-lowering-.f32`
3300×	`-lowering-.f64`
1930×	`fnmadd-define`
1404×	`+-lowering-+.f64`
1404×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	66	361
1	283	353
2	1102	341
3	6343	341
0	8200	341

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 920

Calls

Call 1

Inputs
(* 2 (+ (* (/ 1/2 (pow 3 -1/2)) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))) (* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3))))))
(+ (* (/ 1/2 (pow 3 -1/2)) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))) (* 1/2 (sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))))
(* (/ 1/2 (pow 3 -1/2)) (cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3))))
(/ 1/2 (pow 3 -1/2))
(+ (* (PI) 2/3) (/ (acos (neg (/ g h))) 3))
(* 2 (cos (+ (* (PI) 2/3) (/ (acos (neg (/ g h))) 3))))
(cos (+ (* (PI) 2/3) (/ (acos (neg (/ g h))) 3)))
(PI)
(cbrt (* (PI) (* (PI) (PI))))
(+ (* (cbrt (* (PI) (* (PI) (PI)))) 2/3) (/ (acos (/ -1 (/ h g))) 3))
(* 2 (cos (+ (* (cbrt (* (PI) (* (PI) (PI)))) 2/3) (/ (acos (/ -1 (/ h g))) 3))))
(cos (+ (* (cbrt (* (PI) (* (PI) (PI)))) 2/3) (/ (acos (/ -1 (/ h g))) 3)))
(+ (sin (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))) (/ (cos (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))) (sqrt 1/3)))
(sin (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3)))
(+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))
(* -1/3 (asin (/ g h)))
(- (* (cos (/ (acos (* g (/ -1 h))) 3)) (* 2 (cos (* (PI) 2/3)))) (- (cos (+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) -3))) (cos (+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) 3)))))
(* (cos (/ (acos (* g (/ -1 h))) 3)) (* 2 (cos (* (PI) 2/3))))
(cos (/ (acos (* g (/ -1 h))) 3))
(/ (acos (* g (/ -1 h))) 3)
(cos (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))
(* (PI) 2/3)
(sin (- (/ (asin (/ g h)) -3) (* (PI) 2/3)))
(/ (acos (neg (/ g h))) 3)
(/ -1 (/ h g))
(* (PI) (* (PI) (PI)))
(cos (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3)))
(* (PI) -2/3)
(/ (cos (+ (* -1/3 (asin (/ g h))) (* (PI) -2/3))) (sqrt 1/3))
(cos (+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) -3)))
(cos (* (PI) 2/3))
(+ (* (PI) 2/3) (/ (acos (* g (/ -1 h))) -3))

Outputs
(+.f64 (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(+.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))))
(-.f64 (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))) (.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))))))
(-.f64 (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64))))) (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64))))) (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))) (.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64))))) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64)))))
(fma.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 3 binary64)) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))))
(fma.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 2 binary64) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))))
(fma.f64 (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64))))) #s(literal 2 binary64) (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 3 binary64)) (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))))
(fma.f64 (.f64 #s(literal 2 binary64) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64))))) #s(literal 1/2 binary64) (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))) (sin.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64)))))
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(.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
(.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64)))))
(.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64)))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64))) (sin.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (.f64 (sin.f64 (*.f64 (PI.f64) #s(literal -2/3 binary64))) (sin.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))))))
(+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (+.f64 (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64))) (sin.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64))) (sin.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))))) (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64))) (sin.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (.f64 (sin.f64 (*.f64 (PI.f64) #s(literal -2/3 binary64))) (sin.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))))))
(+.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))) (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64))) (sin.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))))
(+.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))) (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)))) (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64))) (sin.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64))) (sin.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64))) (sin.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))))))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64))) (sin.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (.f64 (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))) (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)))))
(+.f64 (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64))) (sin.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64))) (sin.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))))) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))))
(cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))))
(-.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))) (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64))) (sin.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))))
(-.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))) (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)))) (-.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64))) (sin.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))) (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64))) (sin.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -2/3 binary64))) (sin.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))))))
(fma.f64 (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))) (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (.f64 (sin.f64 (*.f64 (PI.f64) #s(literal -2/3 binary64))) (sin.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))))
(fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))) (.f64 (sin.f64 (*.f64 (PI.f64) #s(literal -2/3 binary64))) (sin.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))))) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))))))) #s(literal 4 binary64))
(+.f64 (.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)))) (.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)))))
(cos.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(cos.f64 (*.f64 (PI.f64) #s(literal -2/3 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))
(+.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(+.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))) (+.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))))
(+.f64 (-.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (PI.f64) #s(literal 3 binary64))) (/.f64 (acos.f64 (/.f64 g h)) #s(literal 3 binary64)))
(+.f64 (-.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (PI.f64) #s(literal 6 binary64))) (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)))
(-.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal -6 binary64)) (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal 3 binary64)) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal -3 binary64)) (-.f64 (/.f64 (acos.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
(-.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (PI.f64) #s(literal -6 binary64))) (/.f64 (asin.f64 (/.f64 g h)) #s(literal 3 binary64)))
(-.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (PI.f64) #s(literal -3 binary64))) (/.f64 (acos.f64 (/.f64 g h)) #s(literal -3 binary64)))
(fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))
(fma.f64 #s(literal 2/3 binary64) (PI.f64) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))
(fma.f64 #s(literal -1/3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(fma.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 2/3 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 2/3 binary64) (cbrt.f64 (PI.f64))) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64))) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(fma.f64 (*.f64 #s(literal 2/3 binary64) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))
(fma.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))
(fma.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))))

simplify277.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

2980×	`-lowering-.f32`
2980×	`-lowering-.f64`
1548×	`sum4-define`
1170×	`associate-*r/`
1162×	`associate-*l/`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	8016
1	108	7896
2	191	7800
3	313	7800
4	497	7728
5	1136	7728
6	1847	7728
7	3526	7728
8	7499	7728
0	8035	7728

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 600

Calls

Call 1

Inputs
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
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(+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))

Outputs
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(* 2 (+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
(+ (* 1/2 (sin (- (* -1/3 (asin (/ g h))) (* 2/3 (PI))))) (* 1/2 (/ (cos (- (* -1/3 (asin (/ g h))) (* 2/3 (PI)))) (sqrt 1/3))))
(.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
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(+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))))
(+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))))
(+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))))
(+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))))
(+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))))
(+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))))
(+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))))
(+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))))
(+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))))
(+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))))
(+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))))
(+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))))
(+ (* -1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))))

eval353.0ms (2.4%)

Compiler: Compiled 87892 to 7403 computations (91.6% saved)

prune227.0ms (1.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	2537	4	2541
Fresh	0	0	0
Picked	4	1	5
Done	1	2	3
Total	2542	7	2549

Accuracy

100.0%

Counts

2549 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal 1/6 binary64)) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
✓	98.5%	(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
	100.0%	(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64))))))
	98.5%	(.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/3 binary64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) #s(literal 3 binary64)))))
✓	98.5%	(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))))))))
	98.5%	(.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (PI.f64) #s(literal 3 binary64))) (/.f64 (acos.f64 (/.f64 g h)) #s(literal 3 binary64)))))
✓	98.4%	(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)) #s(literal 3 binary64)))))

Compiler

Compiled 1008 to 306 computations (69.6% saved)

regimes52.0ms (0.3%)

Counts

23 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)) #s(literal 3 binary64)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
(.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (PI.f64) #s(literal 3 binary64))) (/.f64 (acos.f64 (/.f64 g h)) #s(literal 3 binary64)))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) #s(literal 3 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))))))))
(.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/3 binary64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) #s(literal 3 binary64)))))
(.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/3 binary64) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 3 binary64))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64))))))
(.f64 #s(literal 2 binary64) (+.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (cos.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64))))) (.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))))
(.f64 #s(literal 2 binary64) (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))) (cos.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64))))) (.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))))
(.f64 #s(literal 2 binary64) (+.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (cos.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64))))) (.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (-.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal -3 binary64)) (/.f64 (acos.f64 (/.f64 g h)) #s(literal -3 binary64))) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))))
(.f64 #s(literal 2 binary64) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (cos.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64))))) (.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64)))))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal 1/6 binary64)) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(.f64 #s(literal 2 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))) (sin.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) (cos.f64 (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))))))
(-.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))))) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (.f64 g (/.f64 #s(literal -1 binary64) h))) #s(literal 3 binary64))))))
(.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64))) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 2 binary64))) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))))) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))))) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))))))) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))))) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64))))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))))))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))))))))
(.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64))))))) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal -3 binary64)))) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))))))))

Outputs

(+.f64 (sin.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/6 binary64)) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))

Calls

9 calls:

7.0ms	g
6.0ms	(neg.f64 g)
6.0ms	h
6.0ms	(/.f64 (neg.f64 g) h)
5.0ms	(acos.f64 (/.f64 (neg.f64 g) h))

Results

Accuracy	Segments	Branch
100.0%	1	`g`
100.0%	1	`h`
100.0%	1	`(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))`
100.0%	1	`(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))`
100.0%	1	`(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))`
100.0%	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))`
100.0%	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
100.0%	1	`(/.f64 (neg.f64 g) h)`
100.0%	1	`(neg.f64 g)`

Compiler

Compiled 81 to 62 computations (23.5% saved)

regimes38.0ms (0.3%)

Counts

16 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)) #s(literal 3 binary64)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
(.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (PI.f64) #s(literal 3 binary64))) (/.f64 (acos.f64 (/.f64 g h)) #s(literal 3 binary64)))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) #s(literal 3 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))))))))
(.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/3 binary64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) #s(literal 3 binary64)))))
(.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/3 binary64) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 3 binary64))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64))))))
(.f64 #s(literal 2 binary64) (+.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (cos.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64))))) (.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))))
(.f64 #s(literal 2 binary64) (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))) (cos.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64))))) (.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))))
(.f64 #s(literal 2 binary64) (+.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (cos.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64))))) (.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (-.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal -3 binary64)) (/.f64 (acos.f64 (/.f64 g h)) #s(literal -3 binary64))) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))))
(.f64 #s(literal 2 binary64) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (cos.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64))))) (.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal 2/3 binary64)))))))

Outputs

(+.f64 (sin.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64))))))

Calls

9 calls:

5.0ms	g
5.0ms	h
4.0ms	(neg.f64 g)
4.0ms	(/.f64 (neg.f64 g) h)
4.0ms	(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
100.0%	1	`g`
100.0%	1	`h`
100.0%	1	`(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))`
100.0%	1	`(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))`
100.0%	1	`(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))`
100.0%	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))`
100.0%	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
100.0%	1	`(/.f64 (neg.f64 g) h)`
100.0%	1	`(neg.f64 g)`

Compiler

Compiled 81 to 62 computations (23.5% saved)

regimes29.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)) #s(literal 3 binary64)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
(.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (PI.f64) #s(literal 3 binary64))) (/.f64 (acos.f64 (/.f64 g h)) #s(literal 3 binary64)))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) #s(literal 3 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))))))))
(.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/3 binary64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) #s(literal 3 binary64)))))
(.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/3 binary64) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 3 binary64))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))

Outputs
(.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/3 binary64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) #s(literal 3 binary64)))))

Calls

9 calls:

4.0ms	(/.f64 (neg.f64 g) h)
3.0ms	g
3.0ms	(neg.f64 g)
3.0ms	h
3.0ms	(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))

Results

Accuracy	Segments	Branch
98.5%	1	`g`
98.5%	1	`h`
98.5%	1	`(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))`
98.5%	1	`(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))`
98.5%	1	`(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))`
98.5%	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))`
98.5%	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
98.5%	1	`(/.f64 (neg.f64 g) h)`
98.5%	1	`(neg.f64 g)`

Compiler

Compiled 81 to 62 computations (23.5% saved)

regimes21.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)) #s(literal 3 binary64)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
(.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (PI.f64) #s(literal 3 binary64))) (/.f64 (acos.f64 (/.f64 g h)) #s(literal 3 binary64)))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) #s(literal 3 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))))))))

Outputs
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))))))))

Calls

9 calls:

2.0ms	(neg.f64 g)
2.0ms	g
2.0ms	h
2.0ms	(/.f64 (neg.f64 g) h)
2.0ms	(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))

Results

Accuracy	Segments	Branch
98.5%	1	`g`
98.5%	1	`h`
98.5%	1	`(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))`
98.5%	1	`(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))`
98.5%	1	`(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))`
98.5%	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))`
98.5%	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
98.5%	1	`(/.f64 (neg.f64 g) h)`
98.5%	1	`(neg.f64 g)`

Compiler

Compiled 81 to 62 computations (23.5% saved)

regimes19.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)) #s(literal 3 binary64)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
(.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (PI.f64) #s(literal 3 binary64))) (/.f64 (acos.f64 (/.f64 g h)) #s(literal 3 binary64)))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) #s(literal 3 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 h g))) #s(literal 3 binary64)))))

Outputs
(.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (PI.f64) #s(literal 3 binary64))) (/.f64 (acos.f64 (/.f64 g h)) #s(literal 3 binary64)))))

Calls

9 calls:

3.0ms	h
2.0ms	(neg.f64 g)
2.0ms	(/.f64 (neg.f64 g) h)
2.0ms	g
2.0ms	(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))

Results

Accuracy	Segments	Branch
98.5%	1	`g`
98.5%	1	`h`
98.5%	1	`(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))`
98.5%	1	`(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))`
98.5%	1	`(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))`
98.5%	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))`
98.5%	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
98.5%	1	`(/.f64 (neg.f64 g) h)`
98.5%	1	`(neg.f64 g)`

Compiler

Compiled 81 to 62 computations (23.5% saved)

regimes12.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs

(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)) #s(literal 3 binary64)))))

(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))

Outputs
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)) #s(literal 3 binary64)))))

Calls

9 calls:

1.0ms	(neg.f64 g)
1.0ms	g
1.0ms	h
1.0ms	(/.f64 (neg.f64 g) h)
1.0ms	(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))

Results

Accuracy	Segments	Branch
98.4%	1	`g`
98.4%	1	`h`
98.4%	1	`(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))`
98.4%	1	`(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))`
98.4%	1	`(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))`
98.4%	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))`
98.4%	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
98.4%	1	`(/.f64 (neg.f64 g) h)`
98.4%	1	`(neg.f64 g)`

Compiler

Compiled 81 to 62 computations (23.5% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative_binary64`
28×	`+-commutative_binary64`
14×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	130
1	98	130
2	111	130
3	121	130
4	128	130
5	130	130

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal 1/6 binary64)) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64))))))
(.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/3 binary64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) #s(literal 3 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))))))))
(.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (PI.f64) #s(literal 3 binary64))) (/.f64 (acos.f64 (/.f64 g h)) #s(literal 3 binary64)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)) #s(literal 3 binary64)))))

Outputs
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal 1/6 binary64)) #s(literal -2/3 binary64)))) (/.f64 (cos.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (cos.f64 (+.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64)) (.f64 (PI.f64) #s(literal -2/3 binary64))))))
(+.f64 (sin.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))) (.f64 (PI.f64) #s(literal -2/3 binary64)))) (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal -2/3 binary64)) (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64))))))
(.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/3 binary64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) #s(literal 3 binary64)))))
(.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/3 binary64) (/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))))))))
(.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (PI.f64) #s(literal 3 binary64))) (/.f64 (acos.f64 (/.f64 g h)) #s(literal 3 binary64)))))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (acos.f64 (/.f64 (/.f64 g #s(literal -1 binary64)) h)) #s(literal 3 binary64)))))

soundness1.4s (9.5%)

Rules

3644×	`-lowering-.f32`
3644×	`-lowering-.f64`
3300×	`-lowering-.f32`
3300×	`-lowering-.f64`
3032×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	9144
1	152	9000
2	252	8952
3	407	8952
4	672	8856
5	1523	8856
6	2584	8856
7	4739	8856
0	8900	8856
0	58	1202
1	288	718
2	1669	347
0	8683	347
0	66	361
1	283	353
2	1102	341
3	6343	341
0	8200	341
0	15	48
1	73	44
2	338	44
3	1712	44
0	8325	44
0	14	16
1	25	14
2	38	13
3	50	13
4	63	13
5	79	13
6	100	13
7	142	13
8	148	13
9	152	13
0	152	13

Stop Event

1×	fuel
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 411 to 291 computations (29.2% saved)

preprocess46.0ms (0.3%)

Compiler: Compiled 304 to 160 computations (47.4% saved)

Iter	Nodes	Cost
0	15	69
1	21	69
2	25	63
3	26	63
4	29	63
5	34	63
6	40	63
7	52	63
8	66	63
9	83	63
10	96	63
11	111	63
12	143	63
13	145	63
14	146	63
0	146	63

Iter	Nodes	Cost
0	15	984
1	24	984
2	34	984
3	40	984
4	50	984
5	62	984
6	78	984
7	93	984
8	111	984
9	146	984
10	148	984
11	149	984
0	149	984

Iter	Nodes	Cost
0	15	69
1	21	69
2	25	63
3	26	63
4	29	63
5	34	63
6	40	63
7	52	63
8	66	63
9	83	63
10	96	63
11	111	63
12	143	63
13	145	63
14	146	63
0	146	63

Iter	Nodes	Cost
0	15	984
1	24	984
2	34	984
3	40	984
4	50	984
5	62	984
6	78	984
7	93	984
8	111	984
9	146	984
10	148	984
11	149	984
0	149	984

analyze162.0ms (1.1%)

sample2.1s (14.5%)

preprocess41.0ms (0.3%)

explain278.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.1%)

localize148.0ms (1%)

series11.0ms (0.1%)

rewrite270.0ms (1.8%)

simplify58.0ms (0.4%)

eval52.0ms (0.3%)

prune34.0ms (0.2%)

simplify189.0ms (1.3%)

localize1.2s (8.3%)

series134.0ms (0.9%)

rewrite1.0s (7%)

simplify424.0ms (2.9%)

eval1.2s (8.4%)

prune525.0ms (3.6%)

simplify164.0ms (1.1%)

localize1.0s (7%)

series88.0ms (0.6%)

rewrite673.0ms (4.6%)

simplify335.0ms (2.3%)

eval349.0ms (2.4%)

prune178.0ms (1.2%)

simplify167.0ms (1.1%)

localize999.0ms (6.8%)

series23.0ms (0.2%)

rewrite293.0ms (2%)

simplify277.0ms (1.9%)

eval353.0ms (2.4%)

prune227.0ms (1.5%)

regimes52.0ms (0.3%)

regimes38.0ms (0.3%)

regimes29.0ms (0.2%)

regimes21.0ms (0.1%)

regimes19.0ms (0.1%)

regimes12.0ms (0.1%)

simplify12.0ms (0.1%)

soundness1.4s (9.5%)

preprocess46.0ms (0.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	69
1	21	69
2	25	63
3	26	63
4	29	63
5	34	63
6	40	63
7	52	63
8	66	63
9	83	63
10	96	63
11	111	63
12	143	63
13	145	63
14	146	63
0	146	63

Iter	Nodes	Cost
0	15	984
1	24	984
2	34	984
3	40	984
4	50	984
5	62	984
6	78	984
7	93	984
8	111	984
9	146	984
10	148	984
11	149	984
0	149	984