2-ancestry mixing, negative discriminant

Time bar (total: 3.4s)

analyze117.0ms (3.5%)

Memory
-4.4MiB live, 147.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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 18 to 16 computations (11.1% saved)

sample1.6s (48.3%)

Memory
51.9MiB live, 1 840.6MiB allocated
Samples
1.1s8 256×0valid
191.0ms1 133×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-cos: 370.0ms (35.9% of total)
ival-div: 287.0ms (27.9% of total)
ival-mult: 140.0ms (13.6% of total)
ival-acos: 93.0ms (9% of total)
ival-neg: 41.0ms (4% of total)
ival-add: 40.0ms (3.9% of total)
ival-pi: 38.0ms (3.7% of total)
exact: 10.0ms (1% of total)
ival-true: 7.0ms (0.7% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

preprocess29.0ms (0.9%)

Memory
-5.1MiB live, 42.0MiB allocated
Algorithm
egg-herbie
Rules
120×times-frac
70×associate-/r*
64×unsub-neg
54×associate-*l*
48×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03692
17580
213880
326980
449780
554080
655780
758980
861480
01416
12514
23714
34714
45514
56514
68114
78914
89214
09213
Stop Event
iter limit
saturated
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 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 (acos.f64 (/.f64 g (-.f64 #s(literal 0 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 (+ (* (PI) 2/3) (/ (acos (/ g (neg h))) 3))))
(* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg (neg g)) h)) 3))))
(* 2 (cos (+ (* (PI) 2/3) (/ (acos (/ g h)) 3))))
(* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) (neg h))) 3))))
(* 2 (cos (+ (* (PI) 2/3) (/ (acos (/ g h)) 3))))
(neg (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg (neg g)) h)) 3)))))
(* (cos (+ (* (PI) 2/3) (/ (acos (/ g h)) 3))) -2)
(neg (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) (neg h))) 3)))))
(* (cos (+ (* (PI) 2/3) (/ (acos (/ g h)) 3))) -2)
(* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg h) g)) 3))))
(* 2 (cos (+ (* (PI) 2/3) (/ (acos (/ h (neg g))) 3))))

explain178.0ms (5.3%)

Memory
27.0MiB live, 260.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))
00-0-(acos.f64 (/.f64 (neg.f64 g) h))
00-0-(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))))
00-0-#s(literal 3 binary64)
00-0-(+.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)))
00-0-(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
00-0-(*.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)))))
00-0-(neg.f64 g)
00-0-#s(literal 2 binary64)
00-0-g
00-0-(*.f64 #s(literal 2 binary64) (PI.f64))
00-0-h
00-0-(/.f64 (neg.f64 g) h)
00-0-(PI.f64)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
70.0ms512×0valid
Compiler

Compiled 188 to 60 computations (68.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-div: 15.0ms (32.3% of total)
ival-cos: 13.0ms (28% of total)
ival-mult: 6.0ms (12.9% of total)
ival-acos: 4.0ms (8.6% of total)
ival-pi: 2.0ms (4.3% of total)
ival-add: 2.0ms (4.3% of total)
ival-neg: 2.0ms (4.3% of total)
ival-true: 1.0ms (2.2% of total)
exact: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(*.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)))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify13.0ms (0.4%)

Memory
-28.8MiB live, 8.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(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))))
cost-diff0
(*.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)))))
cost-diff128
(+.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)))
cost-diff704
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))
Rules
32×+-lowering-+.f64
32×*-lowering-*.f32
32×*-lowering-*.f64
32×+-lowering-+.f32
24×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01474
12566
23766
34766
45566
56566
68166
78966
89266
09263
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))))
2
(cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))
(+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))
(/ (* 2 (PI)) 3)
(* 2 (PI))
(PI)
3
(/ (acos (/ (neg g) h)) 3)
(acos (/ (neg g) h))
(/ (neg g) h)
(neg g)
g
h
Outputs
(* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h))) #s(literal 3 binary64)))))
2
#s(literal 2 binary64)
(cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))
(cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h))) #s(literal 3 binary64))))
(+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))
(fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h))) #s(literal 3 binary64)))
(/ (* 2 (PI)) 3)
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(* 2 (PI))
(*.f64 #s(literal 2 binary64) (PI.f64))
(PI)
(PI.f64)
3
#s(literal 3 binary64)
(/ (acos (/ (neg g) h)) 3)
(/.f64 (acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h))) #s(literal 3 binary64))
(acos (/ (neg g) h))
(acos.f64 (/.f64 g (-.f64 #s(literal 0 binary64) h)))
(/ (neg g) h)
(/.f64 g (-.f64 #s(literal 0 binary64) h))
(neg g)
(-.f64 #s(literal 0 binary64) g)
g
h

localize67.0ms (2%)

Memory
-30.2MiB live, 67.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy98.5%
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
accuracy98.5%
(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))))
accuracy98.5%
(+.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)))
accuracy98.4%
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))
Samples
30.0ms256×0valid
Compiler

Compiled 76 to 16 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-cos: 7.0ms (33.7% of total)
ival-div: 5.0ms (24.1% of total)
ival-mult: 3.0ms (14.5% of total)
ival-acos: 2.0ms (9.6% of total)
ival-pi: 1.0ms (4.8% of total)
ival-add: 1.0ms (4.8% of total)
ival-neg: 1.0ms (4.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series14.0ms (0.4%)

Memory
-22.9MiB live, 14.6MiB allocated
Counts
5 → 96
Calls
Call 1
Inputs
#<alt (/ (* 2 (PI)) 3)>
#<alt (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))>
#<alt (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))))>
#<alt (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))>
#<alt (/ (acos (/ (neg g) h)) 3)>
Outputs
#<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 (* 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))))>
#<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:

TimeVariablePointExpression
6.0ms
g
@inf
(* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))))
1.0ms
g
@-inf
(* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))))
1.0ms
g
@0
(* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))))
1.0ms
h
@inf
(* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))))
1.0ms
h
@-inf
(* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))))

rewrite609.0ms (17.9%)

Memory
4.9MiB live, 396.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 768×accelerator-lowering-fma.f32
7 768×accelerator-lowering-fma.f64
5 868×*-lowering-*.f32
5 868×*-lowering-*.f64
2 670×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01455
18947
273347
0849944
Stop Event
iter limit
node limit
Counts
5 → 253
Calls
Call 1
Inputs
(/ (* 2 (PI)) 3)
(+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))
(* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))))
(cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))
(/ (acos (/ (neg g) h)) 3)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -2/3 binary64)))
(neg.f64 (*.f64 (PI.f64) #s(literal -2/3 binary64)))
(neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -2/3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) (PI.f64)))
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) (PI.f64)))
(/.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) #s(literal -3 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/2 binary64) (PI.f64)))
(pow.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/3 binary64))
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(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)))) (*.f64 (sin.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) (-.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)))) (*.f64 (sin.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)))))))))
(*.f64 (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -1/3 binary64)))) (cos.f64 (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))))) (/.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -1/3 binary64))))))
(+.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64))))
(+.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (asin.f64 (/.f64 g h)) #s(literal 1/3 binary64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 g h))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -1/3 binary64)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) (/.f64 (acos.f64 (/.f64 g h)) #s(literal 3 binary64)))
(-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (neg.f64 (*.f64 (asin.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64))))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (asin.f64 (/.f64 g h)) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 g h))))
(neg.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -1/3 binary64)))
(neg.f64 (*.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(/.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))))
(/.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))) #s(literal -3 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (asin.f64 (-.f64 #s(literal 0 binary64) (/.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 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (asin.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64))))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))) #s(literal -1 binary64))
(*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64))
(*.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))) #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h)))) #s(literal -1/2 binary64)))

simplify18.0ms (0.5%)

Memory
22.7MiB live, 22.7MiB allocated
Algorithm
egg-herbie
Rules
32×+-lowering-+.f64
32×+-lowering-+.f32
28×*-lowering-*.f32
28×*-lowering-*.f64
24×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0151056
1231056
2301056
3361056
4461056
5521056
6601056
7741056
8851056
9881056
10891056
089984
Stop Event
iter limit
saturated
Counts
96 → 96
Calls
Call 1
Inputs
(+ (* 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)))
(* 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))))
(* 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
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
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eval138.0ms (4.1%)

Memory
-21.6MiB live, 62.9MiB allocated
Compiler

Compiled 9 057 to 1 158 computations (87.2% saved)

prune95.0ms (2.8%)

Memory
18.1MiB live, 56.1MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3436349
Fresh000
Picked101
Done000
Total3446350
Accuracy
100.0%
Counts
350 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64))) (*.f64 (sin.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
98.5%
(*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64)) (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -1/3 binary64))))) (cos.f64 (/.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -1/3 binary64))))) (*.f64 (sin.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64)) (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -1/3 binary64))))) (sin.f64 (/.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -1/3 binary64))))))))
99.8%
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)))))))))
98.4%
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -1/3 binary64)))) (cos.f64 (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))))) (/.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -1/3 binary64)))))))
98.5%
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)))))
98.5%
(*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) (/.f64 #s(literal -3/2 binary64) (PI.f64)) #s(literal -3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -3/2 binary64) (PI.f64))))))
Compiler

Compiled 688 to 272 computations (60.5% saved)

simplify471.0ms (13.9%)

Memory
-0.4MiB live, 518.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -1/3 binary64))))
cost-diff0
(*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -1/3 binary64)))) (cos.f64 (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)))))
cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -1/3 binary64)))) (cos.f64 (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))))) (/.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -1/3 binary64)))))))
cost-diff30144
(*.f64 (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -1/3 binary64)))) (cos.f64 (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))))) (/.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal -1/3 binary64))))))
cost-diff320
(*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64))) (*.f64 (sin.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
cost-diff384
(/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64))
cost-diff384
(fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64))) (*.f64 (sin.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
cost-diff2240
(*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))
cost-diff0
(cos.f64 (/.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) (/.f64 #s(literal -3/2 binary64) (PI.f64)) #s(literal -3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -3/2 binary64) (PI.f64)))))
cost-diff0
(*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) (/.f64 #s(literal -3/2 binary64) (PI.f64)) #s(literal -3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -3/2 binary64) (PI.f64))))))
cost-diff320
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal -3/2 binary64) (PI.f64)))
cost-diff384
(/.f64 (fma.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) (/.f64 #s(literal -3/2 binary64) (PI.f64)) #s(literal -3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -3/2 binary64) (PI.f64))))
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)))
cost-diff0
(cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64))))
cost-diff0
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)))))
cost-diff320
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
cost-diff384
(/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64))
cost-diff1280
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64))))))
cost-diff2240
(*.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))
Rules
14 140×accelerator-lowering-fma.f32
14 140×accelerator-lowering-fma.f64
7 306×*-lowering-*.f32
7 306×*-lowering-*.f64
2 736×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0641125
11641075
2508836
33350824
47338824
08199796
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* 2 (/ (- (pow (* (- 1/4 (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (cos (* (acos (- 0 (/ g h))) 1/3))) 3) (pow (* (* 2 (* (/ (sqrt 3) 2) 1/2)) (sin (* (acos (- 0 (/ g h))) 1/3))) 3)) (+ (pow (* (- 1/4 (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (cos (* (acos (- 0 (/ g h))) 1/3))) 2) (* (* (* 2 (* (/ (sqrt 3) 2) 1/2)) (sin (* (acos (- 0 (/ g h))) 1/3))) (+ (* 2 (* (* (/ (sqrt 3) 2) 1/2) (sin (* (acos (- 0 (/ g h))) 1/3)))) (* (- 1/4 (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (cos (* (acos (- 0 (/ g h))) 1/3))))))))
2
(/ (- (pow (* (- 1/4 (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (cos (* (acos (- 0 (/ g h))) 1/3))) 3) (pow (* (* 2 (* (/ (sqrt 3) 2) 1/2)) (sin (* (acos (- 0 (/ g h))) 1/3))) 3)) (+ (pow (* (- 1/4 (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (cos (* (acos (- 0 (/ g h))) 1/3))) 2) (* (* (* 2 (* (/ (sqrt 3) 2) 1/2)) (sin (* (acos (- 0 (/ g h))) 1/3))) (+ (* 2 (* (* (/ (sqrt 3) 2) 1/2) (sin (* (acos (- 0 (/ g h))) 1/3)))) (* (- 1/4 (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (cos (* (acos (- 0 (/ g h))) 1/3)))))))
(- (pow (* (- 1/4 (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (cos (* (acos (- 0 (/ g h))) 1/3))) 3) (pow (* (* 2 (* (/ (sqrt 3) 2) 1/2)) (sin (* (acos (- 0 (/ g h))) 1/3))) 3))
(pow (* (- 1/4 (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (cos (* (acos (- 0 (/ g h))) 1/3))) 3)
(* (- 1/4 (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (cos (* (acos (- 0 (/ g h))) 1/3)))
(- 1/4 (* (/ (sqrt 3) 2) (/ (sqrt 3) 2)))
1/4
(* (/ (sqrt 3) 2) (/ (sqrt 3) 2))
(/ (sqrt 3) 2)
(sqrt 3)
3
(cos (* (acos (- 0 (/ g h))) 1/3))
(* (acos (- 0 (/ g h))) 1/3)
(acos (- 0 (/ g h)))
(- 0 (/ g h))
0
(/ g h)
g
h
1/3
(pow (* (* 2 (* (/ (sqrt 3) 2) 1/2)) (sin (* (acos (- 0 (/ g h))) 1/3))) 3)
(* (* 2 (* (/ (sqrt 3) 2) 1/2)) (sin (* (acos (- 0 (/ g h))) 1/3)))
(* 2 (* (/ (sqrt 3) 2) 1/2))
(* (/ (sqrt 3) 2) 1/2)
1/2
(sin (* (acos (- 0 (/ g h))) 1/3))
(+ (pow (* (- 1/4 (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (cos (* (acos (- 0 (/ g h))) 1/3))) 2) (* (* (* 2 (* (/ (sqrt 3) 2) 1/2)) (sin (* (acos (- 0 (/ g h))) 1/3))) (+ (* 2 (* (* (/ (sqrt 3) 2) 1/2) (sin (* (acos (- 0 (/ g h))) 1/3)))) (* (- 1/4 (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (cos (* (acos (- 0 (/ g h))) 1/3))))))
(pow (* (- 1/4 (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (cos (* (acos (- 0 (/ g h))) 1/3))) 2)
(* (* (* 2 (* (/ (sqrt 3) 2) 1/2)) (sin (* (acos (- 0 (/ g h))) 1/3))) (+ (* 2 (* (* (/ (sqrt 3) 2) 1/2) (sin (* (acos (- 0 (/ g h))) 1/3)))) (* (- 1/4 (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (cos (* (acos (- 0 (/ g h))) 1/3)))))
(+ (* 2 (* (* (/ (sqrt 3) 2) 1/2) (sin (* (acos (- 0 (/ g h))) 1/3)))) (* (- 1/4 (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (cos (* (acos (- 0 (/ g h))) 1/3))))
(* (* (/ (sqrt 3) 2) 1/2) (sin (* (acos (- 0 (/ g h))) 1/3)))
(* 2 (cos (+ (* (PI) 2/3) (* (acos (- 0 (/ g h))) 1/3))))
2
(cos (+ (* (PI) 2/3) (* (acos (- 0 (/ g h))) 1/3)))
(+ (* (PI) 2/3) (* (acos (- 0 (/ g h))) 1/3))
(PI)
2/3
(* (acos (- 0 (/ g h))) 1/3)
(acos (- 0 (/ g h)))
(- 0 (/ g h))
0
(/ g h)
g
h
1/3
(* 2 (cos (/ (+ (* (acos (- 0 (/ g h))) (/ -3/2 (PI))) -3) (* 3 (/ -3/2 (PI))))))
2
(cos (/ (+ (* (acos (- 0 (/ g h))) (/ -3/2 (PI))) -3) (* 3 (/ -3/2 (PI)))))
(/ (+ (* (acos (- 0 (/ g h))) (/ -3/2 (PI))) -3) (* 3 (/ -3/2 (PI))))
(+ (* (acos (- 0 (/ g h))) (/ -3/2 (PI))) -3)
(acos (- 0 (/ g h)))
(- 0 (/ g h))
0
(/ g h)
g
h
(/ -3/2 (PI))
-3/2
(PI)
-3
(* 3 (/ -3/2 (PI)))
3
(* 2 (+ (* (- 1/4 (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (cos (* (acos (- 0 (/ g h))) 1/3))) (* (sin (* (acos (- 0 (/ g h))) 1/3)) (* -2 (* (/ (sqrt 3) 2) 1/2)))))
2
(+ (* (- 1/4 (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (cos (* (acos (- 0 (/ g h))) 1/3))) (* (sin (* (acos (- 0 (/ g h))) 1/3)) (* -2 (* (/ (sqrt 3) 2) 1/2))))
(- 1/4 (* (/ (sqrt 3) 2) (/ (sqrt 3) 2)))
1/4
(* (/ (sqrt 3) 2) (/ (sqrt 3) 2))
(/ (sqrt 3) 2)
(sqrt 3)
3
(cos (* (acos (- 0 (/ g h))) 1/3))
(* (acos (- 0 (/ g h))) 1/3)
(acos (- 0 (/ g h)))
(- 0 (/ g h))
0
(/ g h)
g
h
1/3
(* (sin (* (acos (- 0 (/ g h))) 1/3)) (* -2 (* (/ (sqrt 3) 2) 1/2)))
(sin (* (acos (- 0 (/ g h))) 1/3))
(* -2 (* (/ (sqrt 3) 2) 1/2))
-2
(* (/ (sqrt 3) 2) 1/2)
1/2
(* 2 (* (* (cos (+ (* (PI) 2/3) (* (acos (- 0 (/ g h))) -1/3))) (cos (+ (* (acos (- 0 (/ g h))) 1/3) (* (PI) 2/3)))) (/ 1 (cos (+ (* (PI) 2/3) (* (acos (- 0 (/ g h))) -1/3))))))
2
(* (* (cos (+ (* (PI) 2/3) (* (acos (- 0 (/ g h))) -1/3))) (cos (+ (* (acos (- 0 (/ g h))) 1/3) (* (PI) 2/3)))) (/ 1 (cos (+ (* (PI) 2/3) (* (acos (- 0 (/ g h))) -1/3)))))
(* (cos (+ (* (PI) 2/3) (* (acos (- 0 (/ g h))) -1/3))) (cos (+ (* (acos (- 0 (/ g h))) 1/3) (* (PI) 2/3))))
(cos (+ (* (PI) 2/3) (* (acos (- 0 (/ g h))) -1/3)))
(+ (* (PI) 2/3) (* (acos (- 0 (/ g h))) -1/3))
(PI)
2/3
(* (acos (- 0 (/ g h))) -1/3)
(acos (- 0 (/ g h)))
(- 0 (/ g h))
0
(/ g h)
g
h
-1/3
(cos (+ (* (acos (- 0 (/ g h))) 1/3) (* (PI) 2/3)))
(+ (* (acos (- 0 (/ g h))) 1/3) (* (PI) 2/3))
1/3
(* (PI) 2/3)
(/ 1 (cos (+ (* (PI) 2/3) (* (acos (- 0 (/ g h))) -1/3))))
1
Outputs
(* 2 (/ (- (pow (* (- 1/4 (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (cos (* (acos (- 0 (/ g h))) 1/3))) 3) (pow (* (* 2 (* (/ (sqrt 3) 2) 1/2)) (sin (* (acos (- 0 (/ g h))) 1/3))) 3)) (+ (pow (* (- 1/4 (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (cos (* (acos (- 0 (/ g h))) 1/3))) 2) (* (* (* 2 (* (/ (sqrt 3) 2) 1/2)) (sin (* (acos (- 0 (/ g h))) 1/3))) (+ (* 2 (* (* (/ (sqrt 3) 2) 1/2) (sin (* (acos (- 0 (/ g h))) 1/3)))) (* (- 1/4 (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (cos (* (acos (- 0 (/ g h))) 1/3))))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -3/8 binary64))) (pow.f64 (sin.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64))) #s(literal 3 binary64)))) (fma.f64 (sin.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64))) (fma.f64 (cos.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/4 binary64)) (*.f64 (sin.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64))) #s(literal 3/4 binary64))) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 (acos.f64 (-.f64 #s(literal 0 binary64) (/.f64 g h))) #s(literal 1/3 binary64)))) #s(literal 2 binary64))))
2
#s(literal 2 binary64)
(/ (- (pow (* (- 1/4 (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (cos (* (acos (- 0 (/ g h))) 1/3))) 3) (pow (* (* 2 (* (/ (sqrt 3) 2) 1/2)) (sin (* (acos (- 0 (/ g h))) 1/3))) 3)) (+ (pow (* (- 1/4 (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (cos (* (acos (- 0 (/ g h))) 1/3))) 2) (* (* (* 2 (* (/ (sqrt 3) 2) 1/2)) (sin (* (acos (- 0 (/ g h))) 1/3))) (+ (* 2 (* (* (/ (sqrt 3) 2) 1/2) (sin (* (acos (- 0 (/ g h))) 1/3)))) (* (- 1/4 (* (/ (sqrt 3) 2) (/ (sqrt 3) 2))) (cos (* (acos (- 0 (/ g h))) 1/3)))))))
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localize2.0ms (0.1%)

Memory
2.7MiB live, 2.7MiB allocated
Compiler

Compiled 1 240 to 66 computations (94.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

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