2-ancestry mixing, negative discriminant

Time bar (total: 3.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze91.0ms (2.4%)

Memory
16.1MiB live, 174.5MiB allocated
Algorithm
1×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)

sample1.5s (38.8%)

Memory
17.9MiB live, 1 775.7MiB allocated
Samples
979.0ms8 256×0valid
143.0ms1 198×0invalid
Precisions
Click to see histograms. Total time spent on operations: 894.0ms
ival-cos: 283.0ms (31.6% of total)
ival-div: 215.0ms (24% of total)
ival-mult: 145.0ms (16.2% of total)
ival-acos: 80.0ms (8.9% of total)
ival-neg: 57.0ms (6.4% of total)
ival-add: 48.0ms (5.4% of total)
ival-pi: 44.0ms (4.9% of total)
exact: 10.0ms (1.1% of total)
ival-true: 8.0ms (0.9% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain175.0ms (4.6%)

Memory
18.2MiB live, 175.9MiB 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
71.0ms512×0valid
Compiler

Compiled 242 to 60 computations (75.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-cos: 14.0ms (29% of total)
ival-mult: 12.0ms (24.8% of total)
ival-div: 10.0ms (20.7% of total)
ival-acos: 4.0ms (8.3% of total)
ival-pi: 2.0ms (4.1% of total)
ival-add: 2.0ms (4.1% of total)
ival-neg: 2.0ms (4.1% of total)
exact: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess33.0ms (0.9%)

Memory
-29.1MiB live, 17.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03076
16666
212866
326366
449366
553666
655366
758566
861066
01416
02416
13514
24714
35714
46514
57514
69114
79914
810214
010213
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(*.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 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
(*.f64 (cos.f64 (fma.f64 #s(literal 2/3 binary64) (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))) #s(literal 2 binary64))
Compiler

Compiled 16 to 14 computations (12.5% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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 16 to 14 computations (12.5% saved)

simplify5.0ms (0.1%)

Memory
3.4MiB live, 3.4MiB allocated
Algorithm
1×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))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01474
02474
13566
24766
35766
46566
57566
69166
79966
810266
010263
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.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)))))
#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 (/.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))
(*.f64 #s(literal 2 binary64) (PI.f64))
(PI.f64)
#s(literal 3 binary64)
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
Outputs
(*.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 (cos.f64 (fma.f64 #s(literal 2/3 binary64) (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))) #s(literal 2 binary64))
#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))))
(cos.f64 (fma.f64 #s(literal 2/3 binary64) (PI.f64) (/.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)))
(fma.f64 #s(literal 2/3 binary64) (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))
(*.f64 #s(literal 2/3 binary64) (PI.f64))
(*.f64 #s(literal 2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 3 binary64)
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h

localize47.0ms (1.2%)

Memory
0.9MiB live, 38.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.97265625
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
accuracy0.98046875
(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))))
accuracy0.984375
(+.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)))
accuracy1.0
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))
Samples
37.0ms256×0valid
Compiler

Compiled 150 to 30 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-cos: 7.0ms (31.7% of total)
ival-div: 5.0ms (22.6% of total)
ival-mult: 4.0ms (18.1% of total)
ival-acos: 2.0ms (9% of total)
ival-pi: 1.0ms (4.5% of total)
ival-add: 1.0ms (4.5% of total)
ival-neg: 1.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
5 → 4
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #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)))
(*.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)))))
(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))
Outputs
(+ (* 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))))
(* 1/3 (acos (* -1 (/ g h))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
h
@inf
((/ (* 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))
2.0ms
g
@0
((/ (* 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))
2.0ms
g
@inf
((/ (* 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))
1.0ms
g
@-inf
((/ (* 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))
1.0ms
h
@-inf
((/ (* 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))

simplify4.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01544
12344
23044
33644
44644
55244
66044
77444
88544
98844
108944
08941
Stop Event
1×iter limit
1×saturated
Counts
4 → 4
Calls
Call 1
Inputs
(+ (* 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))))
(* 1/3 (acos (* -1 (/ g h))))
Outputs
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(*.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 2 binary64))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))

rewrite151.0ms (4%)

Memory
-32.2MiB live, 107.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01455
02455
19947
274347
0852744
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 253
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #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)))
(*.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)))))
(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))
Outputs
(*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (PI.f64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 2/3 binary64) (PI.f64))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal -1/3 binary64)))
(*.f64 (neg.f64 (PI.f64)) #s(literal -2/3 binary64))
(*.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal -2/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) #s(literal -1/3 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(*.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)) #s(literal 1 binary64))
(*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64))
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))
(pow.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/2 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 2 binary64) (/.f64 #s(literal 3 binary64) (PI.f64)))
(neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -2/3 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (PI.f64) #s(literal -2/3 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -2/3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64))) #s(literal 1/3 binary64)) (/.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal -2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) (-.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (neg.f64 g) h)))))
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(/.f64 (-.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal -2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))) (-.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal -2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))) (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))) #s(literal 2 binary64))
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal -2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))) (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64))))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal -2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal -2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))) (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal -2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))) (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal -1/2 binary64))))) (-.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) #s(literal 3 binary64)))))
(fma.f64 (cos.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64)) (*.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal -2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))) (cos.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) (*.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal -2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))) (*.f64 (sin.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64)) (*.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal -2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))) (sin.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) (*.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal -2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))))))
(fma.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal -2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(fma.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal -1/2 binary64) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal -2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal -2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal -1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal -1/2 binary64)))))))
(-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal -1/2 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64)) (*.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal -2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))) (cos.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) (*.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal -2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))))) (*.f64 (sin.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64)) (*.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal -2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))) (sin.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) (*.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal -2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -1/3 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 1 binary64))
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -1 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 g h)) #s(literal -3 binary64)) (/.f64 (asin.f64 (/.f64 g h)) #s(literal -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 -3 binary64))))
(/.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 g h)) #s(literal -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 g h)) #s(literal -3 binary64)) (/.f64 (asin.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 g h)) #s(literal -3 binary64))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(/.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
(neg.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(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))))
(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 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (neg.f64 (/.f64 (asin.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 g h)) #s(literal -3 binary64)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) (/.f64 (acos.f64 (/.f64 g h)) #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal -1 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))))
(+.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 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (neg.f64 (/.f64 (asin.f64 (/.f64 g h)) #s(literal -3 binary64))))

eval35.0ms (0.9%)

Memory
7.2MiB live, 45.9MiB allocated
Compiler

Compiled 6 862 to 1 173 computations (82.9% saved)

prune5.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2543257
Fresh000
Picked101
Done000
Total2553258
Accuracy
100.0%
Counts
258 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal -1/2 binary64) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))))
▶98.5%
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
▶98.5%
(*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (PI.f64))) #s(literal 9 binary64))))
Compiler

Compiled 54 to 49 computations (9.3% saved)

simplify225.0ms (6%)

Memory
-15.4MiB live, 63.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
cost-diff0
(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
cost-diff0
(fma.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal -1/2 binary64) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
cost-diff320
(*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal -1/2 binary64) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))))
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
cost-diff0
(cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
cost-diff0
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
cost-diff0
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (PI.f64)))
cost-diff0
(/.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (PI.f64))) #s(literal 9 binary64))
cost-diff0
(cos.f64 (/.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (PI.f64))) #s(literal 9 binary64)))
cost-diff0
(*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (PI.f64))) #s(literal 9 binary64))))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032254
057254
187254
2130253
3213252
4280252
5363252
6532252
7886252
81086252
91151252
101193252
111211252
121211252
131211252
141570252
151988252
162028252
172098252
182128252
192128252
203040252
213344252
224353252
234449252
244449252
254531252
264603252
274603252
287204252
297852252
08060252
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (PI.f64))) #s(literal 9 binary64))))
#s(literal 2 binary64)
(cos.f64 (/.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (PI.f64))) #s(literal 9 binary64)))
(/.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (PI.f64))) #s(literal 9 binary64))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (PI.f64)))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
#s(literal 3 binary64)
(*.f64 #s(literal 6 binary64) (PI.f64))
#s(literal 6 binary64)
(PI.f64)
#s(literal 9 binary64)
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
#s(literal 2 binary64)
(cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(PI.f64)
#s(literal 2/3 binary64)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
#s(literal 1/3 binary64)
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
(*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal -1/2 binary64) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))))
#s(literal 2 binary64)
(fma.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal -1/2 binary64) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
#s(literal -1/3 binary64)
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
#s(literal -1/2 binary64)
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(*.f64 #s(literal 2/3 binary64) (PI.f64))
#s(literal 2/3 binary64)
(PI.f64)
(sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
#s(literal 1/3 binary64)
Outputs
(*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (PI.f64))) #s(literal 9 binary64))))
(*.f64 (cos.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 6 binary64))) #s(literal 9 binary64))) #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 (/.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (PI.f64))) #s(literal 9 binary64)))
(cos.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 6 binary64))) #s(literal 9 binary64)))
(/.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (PI.f64))) #s(literal 9 binary64))
(/.f64 (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 6 binary64))) #s(literal 9 binary64))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (PI.f64)))
(fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 6 binary64)))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
#s(literal 3 binary64)
(*.f64 #s(literal 6 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 6 binary64))
#s(literal 6 binary64)
(PI.f64)
#s(literal 9 binary64)
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(*.f64 (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(PI.f64)
#s(literal 2/3 binary64)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
#s(literal 1/3 binary64)
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
(*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal -1/2 binary64) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))))
(neg.f64 (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
#s(literal 2 binary64)
(fma.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal -1/2 binary64) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))))))
(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
#s(literal -1/3 binary64)
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
#s(literal -1/2 binary64)
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(*.f64 #s(literal 2/3 binary64) (PI.f64))
#s(literal 2/3 binary64)
(PI.f64)
(sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
#s(literal 1/3 binary64)

localize123.0ms (3.3%)

Memory
13.6MiB live, 92.5MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.9765625
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
accuracy0.9765625
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
accuracy1.0
(*.f64 #s(literal 2/3 binary64) (PI.f64))
accuracy1.0
(sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))
accuracy0.0
(PI.f64)
accuracy0.01171875
(fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
accuracy0.9765625
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
accuracy0.98046875
(cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
accuracy0.0
(PI.f64)
accuracy0.01171875
(/.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (PI.f64))) #s(literal 9 binary64))
accuracy0.96875
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (PI.f64)))
accuracy0.98046875
(cos.f64 (/.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (PI.f64))) #s(literal 9 binary64)))
Samples
97.0ms256×0valid
Compiler

Compiled 519 to 69 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 17.0ms (24% of total)
ival-cos: 16.0ms (22.6% of total)
const: 10.0ms (14.1% of total)
ival-sinu: 9.0ms (12.7% of total)
ival-div: 4.0ms (5.7% of total)
ival-sin: 4.0ms (5.7% of total)
ival-add: 3.0ms (4.2% of total)
ival-neg: 3.0ms (4.2% of total)
ival-acos: 2.0ms (2.8% of total)
ival-pi: 1.0ms (1.4% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series35.0ms (0.9%)

Memory
-5.3MiB live, 32.2MiB allocated
Counts
15 → 12
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (PI.f64))) #s(literal 9 binary64))))
(cos.f64 (/.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (PI.f64))) #s(literal 9 binary64)))
(/.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (PI.f64))) #s(literal 9 binary64))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (PI.f64)))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(PI.f64)
(*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal -1/2 binary64) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))))
(fma.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal -1/2 binary64) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(*.f64 #s(literal 2/3 binary64) (PI.f64))
Outputs
(* 2 (cos (* 1/9 (+ (* 3 (acos (* -1 (/ g h)))) (* 6 (PI))))))
(cos (* 1/9 (+ (* 3 (acos (* -1 (/ g h)))) (* 6 (PI)))))
(* 1/9 (+ (* 3 (acos (* -1 (/ g h)))) (* 6 (PI))))
(+ (* 3 (acos (* -1 (/ g h)))) (* 6 (PI)))
(* 2 (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)))
(* 2 (+ (* -1 (* (sin (* 1/3 (acos (* -1 (/ g h))))) (sin (* 2/3 (PI))))) (* -1/2 (cos (* -1/3 (acos (* -1 (/ g h))))))))
(+ (* -1 (* (sin (* 1/3 (acos (* -1 (/ g h))))) (sin (* 2/3 (PI))))) (* -1/2 (cos (* -1/3 (acos (* -1 (/ g h)))))))
(cos (* -1/3 (acos (* -1 (/ g h)))))
(* -1/3 (acos (* -1 (/ g h))))
(* 1/3 (acos (* -1 (/ g h))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
h
@inf
((* 2 (cos (/ (+ (* (acos (/ (neg g) h)) 3) (* 6 (PI))) 9))) (cos (/ (+ (* (acos (/ (neg g) h)) 3) (* 6 (PI))) 9)) (/ (+ (* (acos (/ (neg g) h)) 3) (* 6 (PI))) 9) (+ (* (acos (/ (neg g) h)) 3) (* 6 (PI))) (* 2 (cos (+ (* (PI) 2/3) (* 1/3 (acos (/ (neg g) h)))))) (cos (+ (* (PI) 2/3) (* 1/3 (acos (/ (neg g) h))))) (+ (* (PI) 2/3) (* 1/3 (acos (/ (neg g) h)))) (PI) (* 2 (+ (* (cos (* -1/3 (acos (/ (neg g) h)))) -1/2) (* (neg (sin (* 2/3 (PI)))) (sin (* 1/3 (acos (/ (neg g) h))))))) (+ (* (cos (* -1/3 (acos (/ (neg g) h)))) -1/2) (* (neg (sin (* 2/3 (PI)))) (sin (* 1/3 (acos (/ (neg g) h)))))) (cos (* -1/3 (acos (/ (neg g) h)))) (* -1/3 (acos (/ (neg g) h))) (* 1/3 (acos (/ (neg g) h))) (sin (* 2/3 (PI))) (* 2/3 (PI)))
7.0ms
h
@0
((* 2 (cos (/ (+ (* (acos (/ (neg g) h)) 3) (* 6 (PI))) 9))) (cos (/ (+ (* (acos (/ (neg g) h)) 3) (* 6 (PI))) 9)) (/ (+ (* (acos (/ (neg g) h)) 3) (* 6 (PI))) 9) (+ (* (acos (/ (neg g) h)) 3) (* 6 (PI))) (* 2 (cos (+ (* (PI) 2/3) (* 1/3 (acos (/ (neg g) h)))))) (cos (+ (* (PI) 2/3) (* 1/3 (acos (/ (neg g) h))))) (+ (* (PI) 2/3) (* 1/3 (acos (/ (neg g) h)))) (PI) (* 2 (+ (* (cos (* -1/3 (acos (/ (neg g) h)))) -1/2) (* (neg (sin (* 2/3 (PI)))) (sin (* 1/3 (acos (/ (neg g) h))))))) (+ (* (cos (* -1/3 (acos (/ (neg g) h)))) -1/2) (* (neg (sin (* 2/3 (PI)))) (sin (* 1/3 (acos (/ (neg g) h)))))) (cos (* -1/3 (acos (/ (neg g) h)))) (* -1/3 (acos (/ (neg g) h))) (* 1/3 (acos (/ (neg g) h))) (sin (* 2/3 (PI))) (* 2/3 (PI)))
6.0ms
g
@0
((* 2 (cos (/ (+ (* (acos (/ (neg g) h)) 3) (* 6 (PI))) 9))) (cos (/ (+ (* (acos (/ (neg g) h)) 3) (* 6 (PI))) 9)) (/ (+ (* (acos (/ (neg g) h)) 3) (* 6 (PI))) 9) (+ (* (acos (/ (neg g) h)) 3) (* 6 (PI))) (* 2 (cos (+ (* (PI) 2/3) (* 1/3 (acos (/ (neg g) h)))))) (cos (+ (* (PI) 2/3) (* 1/3 (acos (/ (neg g) h))))) (+ (* (PI) 2/3) (* 1/3 (acos (/ (neg g) h)))) (PI) (* 2 (+ (* (cos (* -1/3 (acos (/ (neg g) h)))) -1/2) (* (neg (sin (* 2/3 (PI)))) (sin (* 1/3 (acos (/ (neg g) h))))))) (+ (* (cos (* -1/3 (acos (/ (neg g) h)))) -1/2) (* (neg (sin (* 2/3 (PI)))) (sin (* 1/3 (acos (/ (neg g) h)))))) (cos (* -1/3 (acos (/ (neg g) h)))) (* -1/3 (acos (/ (neg g) h))) (* 1/3 (acos (/ (neg g) h))) (sin (* 2/3 (PI))) (* 2/3 (PI)))
5.0ms
h
@-inf
((* 2 (cos (/ (+ (* (acos (/ (neg g) h)) 3) (* 6 (PI))) 9))) (cos (/ (+ (* (acos (/ (neg g) h)) 3) (* 6 (PI))) 9)) (/ (+ (* (acos (/ (neg g) h)) 3) (* 6 (PI))) 9) (+ (* (acos (/ (neg g) h)) 3) (* 6 (PI))) (* 2 (cos (+ (* (PI) 2/3) (* 1/3 (acos (/ (neg g) h)))))) (cos (+ (* (PI) 2/3) (* 1/3 (acos (/ (neg g) h))))) (+ (* (PI) 2/3) (* 1/3 (acos (/ (neg g) h)))) (PI) (* 2 (+ (* (cos (* -1/3 (acos (/ (neg g) h)))) -1/2) (* (neg (sin (* 2/3 (PI)))) (sin (* 1/3 (acos (/ (neg g) h))))))) (+ (* (cos (* -1/3 (acos (/ (neg g) h)))) -1/2) (* (neg (sin (* 2/3 (PI)))) (sin (* 1/3 (acos (/ (neg g) h)))))) (cos (* -1/3 (acos (/ (neg g) h)))) (* -1/3 (acos (/ (neg g) h))) (* 1/3 (acos (/ (neg g) h))) (sin (* 2/3 (PI))) (* 2/3 (PI)))
5.0ms
g
@-inf
((* 2 (cos (/ (+ (* (acos (/ (neg g) h)) 3) (* 6 (PI))) 9))) (cos (/ (+ (* (acos (/ (neg g) h)) 3) (* 6 (PI))) 9)) (/ (+ (* (acos (/ (neg g) h)) 3) (* 6 (PI))) 9) (+ (* (acos (/ (neg g) h)) 3) (* 6 (PI))) (* 2 (cos (+ (* (PI) 2/3) (* 1/3 (acos (/ (neg g) h)))))) (cos (+ (* (PI) 2/3) (* 1/3 (acos (/ (neg g) h))))) (+ (* (PI) 2/3) (* 1/3 (acos (/ (neg g) h)))) (PI) (* 2 (+ (* (cos (* -1/3 (acos (/ (neg g) h)))) -1/2) (* (neg (sin (* 2/3 (PI)))) (sin (* 1/3 (acos (/ (neg g) h))))))) (+ (* (cos (* -1/3 (acos (/ (neg g) h)))) -1/2) (* (neg (sin (* 2/3 (PI)))) (sin (* 1/3 (acos (/ (neg g) h)))))) (cos (* -1/3 (acos (/ (neg g) h)))) (* -1/3 (acos (/ (neg g) h))) (* 1/3 (acos (/ (neg g) h))) (sin (* 2/3 (PI))) (* 2/3 (PI)))

simplify236.0ms (6.3%)

Memory
12.8MiB live, 47.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035171
169157
2128156
3198155
4258155
5341155
6494155
7865155
81084155
91152155
101195155
111213155
121213155
131213155
141559155
151974155
162014155
172084155
182114155
192114155
203022155
213326155
224339155
234435155
244435155
254515155
264587155
274587155
287041155
297689155
08588148
Stop Event
1×iter limit
1×node limit
Counts
12 → 12
Calls
Call 1
Inputs
(* 2 (cos (* 1/9 (+ (* 3 (acos (* -1 (/ g h)))) (* 6 (PI))))))
(cos (* 1/9 (+ (* 3 (acos (* -1 (/ g h)))) (* 6 (PI)))))
(* 1/9 (+ (* 3 (acos (* -1 (/ g h)))) (* 6 (PI))))
(+ (* 3 (acos (* -1 (/ g h)))) (* 6 (PI)))
(* 2 (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)))
(* 2 (+ (* -1 (* (sin (* 1/3 (acos (* -1 (/ g h))))) (sin (* 2/3 (PI))))) (* -1/2 (cos (* -1/3 (acos (* -1 (/ g h))))))))
(+ (* -1 (* (sin (* 1/3 (acos (* -1 (/ g h))))) (sin (* 2/3 (PI))))) (* -1/2 (cos (* -1/3 (acos (* -1 (/ g h)))))))
(cos (* -1/3 (acos (* -1 (/ g h)))))
(* -1/3 (acos (* -1 (/ g h))))
(* 1/3 (acos (* -1 (/ g h))))
Outputs
(* 2 (cos (* 1/9 (+ (* 3 (acos (* -1 (/ g h)))) (* 6 (PI))))))
(*.f64 (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))) #s(literal 2 binary64))
(cos (* 1/9 (+ (* 3 (acos (* -1 (/ g h)))) (* 6 (PI)))))
(cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(* 1/9 (+ (* 3 (acos (* -1 (/ g h)))) (* 6 (PI))))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 3 (acos (* -1 (/ g h)))) (* 6 (PI)))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) (*.f64 (PI.f64) #s(literal 6 binary64)))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(*.f64 (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))) #s(literal 2 binary64))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.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 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(* 2 (+ (* -1 (* (sin (* 1/3 (acos (* -1 (/ g h))))) (sin (* 2/3 (PI))))) (* -1/2 (cos (* -1/3 (acos (* -1 (/ g h))))))))
(neg.f64 (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(+ (* -1 (* (sin (* 1/3 (acos (* -1 (/ g h))))) (sin (* 2/3 (PI))))) (* -1/2 (cos (* -1/3 (acos (* -1 (/ g h)))))))
(fma.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal -1/2 binary64)))
(cos (* -1/3 (acos (* -1 (/ g h)))))
(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(* -1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))

rewrite201.0ms (5.3%)

Memory
13.3MiB live, 93.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032164
057164
1163164
2972163
08536162
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 436
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (PI.f64))) #s(literal 9 binary64))))
(cos.f64 (/.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (PI.f64))) #s(literal 9 binary64)))
(/.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (PI.f64))) #s(literal 9 binary64))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (PI.f64)))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(PI.f64)
(*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal -1/2 binary64) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))))
(fma.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal -1/2 binary64) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(*.f64 #s(literal 2/3 binary64) (PI.f64))
Outputs
(*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 6 binary64))) #s(literal -1/9 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 6 binary64))) #s(literal -1/9 binary64))))
(cos.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 6 binary64))) #s(literal -1/9 binary64)))
(cos.f64 (*.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 6 binary64)))))
(*.f64 (*.f64 #s(literal 1/9 binary64) (fma.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -36 binary64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -6 binary64) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 27 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (PI.f64) (-.f64 (*.f64 #s(literal 36 binary64) (PI.f64)) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 18 binary64))) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) #s(literal 9 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -6 binary64) (PI.f64)))) #s(literal -1/9 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -6 binary64) (PI.f64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -6 binary64) (PI.f64)))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 (PI.f64) (-.f64 (*.f64 #s(literal 36 binary64) (PI.f64)) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 18 binary64))) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) #s(literal 9 binary64))) #s(literal 9 binary64)) (/.f64 (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 6 binary64))) (fma.f64 (PI.f64) (-.f64 (*.f64 #s(literal 36 binary64) (PI.f64)) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 18 binary64))) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) #s(literal 9 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -36 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -6 binary64) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 27 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (PI.f64) (-.f64 (*.f64 #s(literal 36 binary64) (PI.f64)) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 18 binary64))) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) #s(literal 9 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -36 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/9 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -6 binary64) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 3 binary64))) #s(literal 1/9 binary64)) (pow.f64 (fma.f64 (PI.f64) (-.f64 (*.f64 #s(literal 36 binary64) (PI.f64)) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 18 binary64))) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) #s(literal 9 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -36 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -6 binary64) (PI.f64))) #s(literal -1 binary64)) #s(literal 1/9 binary64)))
(*.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -36 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -6 binary64) (PI.f64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 6 binary64))) #s(literal -1/9 binary64)))
(*.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 6 binary64))))
(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (PI.f64) (-.f64 (*.f64 #s(literal 36 binary64) (PI.f64)) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 18 binary64))) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) #s(literal 9 binary64))) #s(literal -1 binary64)) #s(literal 1/9 binary64)))
(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (fma.f64 (PI.f64) (-.f64 (*.f64 #s(literal 36 binary64) (PI.f64)) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 18 binary64))) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) #s(literal 9 binary64))))))
(*.f64 (fma.f64 #s(literal -3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -6 binary64) (PI.f64))) #s(literal -1/9 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 6 binary64)))))
(*.f64 (*.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 6 binary64)))) (/.f64 (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -6 binary64) (PI.f64))) (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -6 binary64) (PI.f64)))))
(*.f64 (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 6 binary64))) #s(literal 1/9 binary64))
(pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -6 binary64) (PI.f64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -36 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/9 binary64))) (neg.f64 (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -6 binary64) (PI.f64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 3 binary64))) #s(literal 1/9 binary64))) (neg.f64 (fma.f64 (PI.f64) (-.f64 (*.f64 #s(literal 36 binary64) (PI.f64)) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 18 binary64))) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) #s(literal 9 binary64)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -36 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/9 binary64)) (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -6 binary64) (PI.f64))))
(/.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 3 binary64))) #s(literal 1/9 binary64)) (fma.f64 (PI.f64) (-.f64 (*.f64 #s(literal 36 binary64) (PI.f64)) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 18 binary64))) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -36 binary64) (*.f64 (PI.f64) (PI.f64))))) (neg.f64 (*.f64 #s(literal 9 binary64) (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -6 binary64) (PI.f64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 3 binary64)))) (neg.f64 (*.f64 #s(literal 9 binary64) (fma.f64 (PI.f64) (-.f64 (*.f64 #s(literal 36 binary64) (PI.f64)) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 18 binary64))) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) #s(literal 9 binary64))))))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -36 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 9 binary64) (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -6 binary64) (PI.f64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 6 binary64)))))
(/.f64 #s(literal 1/9 binary64) (pow.f64 (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 6 binary64))) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 9 binary64) (fma.f64 (PI.f64) (-.f64 (*.f64 #s(literal 36 binary64) (PI.f64)) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 18 binary64))) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) #s(literal 9 binary64)))))
(/.f64 (fma.f64 #s(literal -3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -6 binary64) (PI.f64))) #s(literal -9 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -6 binary64) (PI.f64))) (*.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -36 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) (-.f64 (*.f64 #s(literal 36 binary64) (PI.f64)) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 18 binary64))) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) #s(literal 9 binary64))) (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 3 binary64))) #s(literal 1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -6 binary64) (PI.f64)))) (fma.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -36 binary64) (*.f64 (PI.f64) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (fma.f64 (PI.f64) (-.f64 (*.f64 #s(literal 36 binary64) (PI.f64)) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 18 binary64))) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) #s(literal 9 binary64)))) (fma.f64 #s(literal 27 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -6 binary64) (PI.f64)))))
(/.f64 (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 6 binary64))) #s(literal 9 binary64))
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(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))))
(-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))))))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 1/3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 #s(literal 1/3 binary64) (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64))
(neg.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(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))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(+.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))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 (acos.f64 (/.f64 (neg.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))))
(+.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))))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) #s(literal -1 binary64))
(*.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(/.f64 (neg.f64 (pow.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))) #s(literal 2 binary64))) (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(/.f64 (pow.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) #s(literal 3 binary64)) (neg.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(neg.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(+.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(*.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 2/3 binary64) (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2/3 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2/3 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 2/3 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(*.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 2/3 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 2/3 binary64))

eval104.0ms (2.7%)

Memory
-29.8MiB live, 94.7MiB allocated
Compiler

Compiled 19 975 to 2 526 computations (87.4% saved)

prune11.0ms (0.3%)

Memory
27.8MiB live, 27.8MiB allocated
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New5561557
Fresh000
Picked123
Done000
Total5573560
Accuracy
100.0%
Counts
560 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) #s(literal -2 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
✓98.5%
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
✓98.5%
(*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (PI.f64))) #s(literal 9 binary64))))
Compiler

Compiled 52 to 47 computations (9.6% saved)

simplify18.0ms (0.5%)

Memory
-32.5MiB live, 6.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
cost-diff0
(sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
cost-diff0
(*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))))
cost-diff0
(fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) #s(literal -2 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019101
033101
150101
271101
3109101
4160101
5253101
6388101
7496101
8525101
9533101
0533101
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) #s(literal -2 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
#s(literal 1/3 binary64)
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
(sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(*.f64 #s(literal 2/3 binary64) (PI.f64))
#s(literal 2/3 binary64)
(PI.f64)
#s(literal -2 binary64)
(neg.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
#s(literal -1/3 binary64)
Outputs
(fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) #s(literal -2 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))))
(sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
(sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 2/3 binary64))
#s(literal 2/3 binary64)
(PI.f64)
#s(literal -2 binary64)
(neg.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
#s(literal -1/3 binary64)

localize69.0ms (1.8%)

Memory
12.0MiB live, 49.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.9765625
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
accuracy0.9765625
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
accuracy1.0
(*.f64 #s(literal 2/3 binary64) (PI.f64))
accuracy1.0
(sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))
Samples
55.0ms256×0valid
Compiler

Compiled 205 to 41 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
const: 10.0ms (22.5% of total)
ival-sinu: 9.0ms (20.2% of total)
ival-mult: 8.0ms (18% of total)
ival-cos: 5.0ms (11.2% of total)
ival-sin: 3.0ms (6.7% of total)
ival-div: 2.0ms (4.5% of total)
ival-acos: 2.0ms (4.5% of total)
ival-neg: 2.0ms (4.5% of total)
ival-pi: 1.0ms (2.2% of total)
ival-add: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series11.0ms (0.3%)

Memory
7.9MiB live, 7.9MiB allocated
Counts
7 → 5
Calls
Call 1
Inputs
(fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) #s(literal -2 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(*.f64 #s(literal 2/3 binary64) (PI.f64))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
Outputs
(- (* -2 (* (sin (* 1/3 (acos (* -1 (/ g h))))) (sin (* 2/3 (PI))))) (cos (* -1/3 (acos (* -1 (/ g h))))))
(* (sin (* 1/3 (acos (* -1 (/ g h))))) (sin (* 2/3 (PI))))
(sin (* 1/3 (acos (* -1 (/ g h)))))
(* 1/3 (acos (* -1 (/ g h))))
(* -1/3 (acos (* -1 (/ g h))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
g
@0
((+ (* (* (sin (* 1/3 (acos (/ (neg g) h)))) (sin (* 2/3 (PI)))) -2) (neg (cos (* -1/3 (acos (/ (neg g) h)))))) (* (sin (* 1/3 (acos (/ (neg g) h)))) (sin (* 2/3 (PI)))) (sin (* 1/3 (acos (/ (neg g) h)))) (* 1/3 (acos (/ (neg g) h))) (sin (* 2/3 (PI))) (* 2/3 (PI)) (* -1/3 (acos (/ (neg g) h))))
2.0ms
g
@inf
((+ (* (* (sin (* 1/3 (acos (/ (neg g) h)))) (sin (* 2/3 (PI)))) -2) (neg (cos (* -1/3 (acos (/ (neg g) h)))))) (* (sin (* 1/3 (acos (/ (neg g) h)))) (sin (* 2/3 (PI)))) (sin (* 1/3 (acos (/ (neg g) h)))) (* 1/3 (acos (/ (neg g) h))) (sin (* 2/3 (PI))) (* 2/3 (PI)) (* -1/3 (acos (/ (neg g) h))))
2.0ms
g
@-inf
((+ (* (* (sin (* 1/3 (acos (/ (neg g) h)))) (sin (* 2/3 (PI)))) -2) (neg (cos (* -1/3 (acos (/ (neg g) h)))))) (* (sin (* 1/3 (acos (/ (neg g) h)))) (sin (* 2/3 (PI)))) (sin (* 1/3 (acos (/ (neg g) h)))) (* 1/3 (acos (/ (neg g) h))) (sin (* 2/3 (PI))) (* 2/3 (PI)) (* -1/3 (acos (/ (neg g) h))))
2.0ms
h
@inf
((+ (* (* (sin (* 1/3 (acos (/ (neg g) h)))) (sin (* 2/3 (PI)))) -2) (neg (cos (* -1/3 (acos (/ (neg g) h)))))) (* (sin (* 1/3 (acos (/ (neg g) h)))) (sin (* 2/3 (PI)))) (sin (* 1/3 (acos (/ (neg g) h)))) (* 1/3 (acos (/ (neg g) h))) (sin (* 2/3 (PI))) (* 2/3 (PI)) (* -1/3 (acos (/ (neg g) h))))
2.0ms
h
@-inf
((+ (* (* (sin (* 1/3 (acos (/ (neg g) h)))) (sin (* 2/3 (PI)))) -2) (neg (cos (* -1/3 (acos (/ (neg g) h)))))) (* (sin (* 1/3 (acos (/ (neg g) h)))) (sin (* 2/3 (PI)))) (sin (* 1/3 (acos (/ (neg g) h)))) (* 1/3 (acos (/ (neg g) h))) (sin (* 2/3 (PI))) (* 2/3 (PI)) (* -1/3 (acos (/ (neg g) h))))

simplify15.0ms (0.4%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02059
13359
25059
36459
410059
514959
624059
737659
848959
951859
1052759
052759
Stop Event
1×iter limit
1×saturated
Counts
5 → 5
Calls
Call 1
Inputs
(- (* -2 (* (sin (* 1/3 (acos (* -1 (/ g h))))) (sin (* 2/3 (PI))))) (cos (* -1/3 (acos (* -1 (/ g h))))))
(* (sin (* 1/3 (acos (* -1 (/ g h))))) (sin (* 2/3 (PI))))
(sin (* 1/3 (acos (* -1 (/ g h)))))
(* 1/3 (acos (* -1 (/ g h))))
(* -1/3 (acos (* -1 (/ g h))))
Outputs
(- (* -2 (* (sin (* 1/3 (acos (* -1 (/ g h))))) (sin (* 2/3 (PI))))) (cos (* -1/3 (acos (* -1 (/ g h))))))
(neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(* (sin (* 1/3 (acos (* -1 (/ g h))))) (sin (* 2/3 (PI))))
(*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))))
(sin (* 1/3 (acos (* -1 (/ g h)))))
(sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))
(* -1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))

rewrite169.0ms (4.5%)

Memory
-55.8MiB live, 98.5MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01966
03366
19566
253966
3536765
0854965
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 169
Calls
Call 1
Inputs
(fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) #s(literal -2 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(*.f64 #s(literal 2/3 binary64) (PI.f64))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
Outputs
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))) (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))) #s(literal 2 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))) (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 3 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))) #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) #s(literal 2 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))) (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) (fma.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 3 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))) (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))) (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 3 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) #s(literal 2 binary64)))
(*.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))) (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))))
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(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2/3 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 2/3 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64))
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(*.f64 #s(literal 2/3 binary64) (PI.f64))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64))
(/.f64 (*.f64 (*.f64 (acos.f64 (/.f64 g h)) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -1/3 binary64)) (acos.f64 (/.f64 g h)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))) #s(literal -1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (acos.f64 (/.f64 g h)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (acos.f64 (/.f64 g h)) (acos.f64 (/.f64 (neg.f64 g) h)))) (acos.f64 (/.f64 g h)))
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (acos.f64 (/.f64 g h)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal -1/3 binary64) (*.f64 (asin.f64 (/.f64 g h)) #s(literal -1/3 binary64)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal -1/3 binary64)) (*.f64 (asin.f64 (/.f64 g h)) #s(literal -1/3 binary64)))
(+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 g h))))

eval26.0ms (0.7%)

Memory
21.3MiB live, 21.3MiB allocated
Compiler

Compiled 9 658 to 634 computations (93.4% saved)

prune8.0ms (0.2%)

Memory
14.2MiB live, 14.2MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1740174
Fresh000
Picked011
Done022
Total1743177
Accuracy
100.0%
Counts
177 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) #s(literal -2 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
✓98.5%
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
✓98.5%
(*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (PI.f64))) #s(literal 9 binary64))))
Compiler

Compiled 146 to 89 computations (39% saved)

regimes19.0ms (0.5%)

Memory
-14.8MiB live, 23.6MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (PI.f64))) #s(literal 9 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)))))
(fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) #s(literal -2 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal -1/2 binary64) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))))
Outputs
(fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) #s(literal -2 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
Calls

9 calls:

4.0ms
(/.f64 (neg.f64 g) h)
2.0ms
(neg.f64 g)
2.0ms
g
2.0ms
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
AccuracySegmentsBranch
100.0%1g
100.0%1h
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 63 to 62 computations (1.6% saved)

regimes14.0ms (0.4%)

Memory
20.0MiB live, 20.0MiB allocated
Accuracy

Total -0.0b remaining (-1.3%)

Threshold costs -0b (-1.3%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) (*.f64 #s(literal 6 binary64) (PI.f64))) #s(literal 9 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 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
Calls

9 calls:

2.0ms
h
2.0ms
(neg.f64 g)
1.0ms
(/.f64 (neg.f64 g) h)
1.0ms
g
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
AccuracySegmentsBranch
98.5%1g
98.5%1h
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 63 to 62 computations (1.6% saved)

simplify72.0ms (1.9%)

Memory
-38.4MiB live, 44.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02337
13337
24437
35437
46637
57437
69737
720937
8376037
Stop Event
1×node limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) #s(literal -2 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
Outputs
(fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) #s(literal -2 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))

soundness277.0ms (7.3%)

Memory
31.3MiB live, 143.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01455
02455
19947
274347
0852744
032164
057164
1163164
2972163
08536162
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 105 to 67 computations (36.2% saved)

preprocess123.0ms (3.2%)

Memory
-33.1MiB live, 14.5MiB allocated
Compiler

Compiled 106 to 74 computations (30.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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