2-ancestry mixing, negative discriminant

Time bar (total: 7.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze184.0ms (2.6%)

Memory
-8.9MiB live, 185.8MiB allocated; 125ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
26.7%25%68.7%0.1%0%6.2%0%5
27.6%25%65.6%0.1%0%9.4%0%6
49%37.5%39%0.1%0%23.4%0%7
50.5%37.5%36.7%0.1%0%25.8%0%8
67.9%43.7%20.7%0.1%0%35.5%0%9
69.3%43.7%19.3%0.1%0%36.9%0%10
81.5%46.8%10.6%0.1%0%42.4%0%11
82.5%46.8%9.9%0.1%0%43.2%0%12
Compiler

Compiled 18 to 16 computations (11.1% saved)

sample2.2s (30.3%)

Memory
107.7MiB live, 2 924.5MiB allocated; 514ms collecting garbage
Samples
1.5s8 256×0valid
263.0ms1 072×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.5s
ival-cos: 575.0ms (38.6% of total)
ival-div: 217.0ms (14.6% of total)
ival-add: 206.0ms (13.8% of total)
ival-acos: 180.0ms (12.1% of total)
ival-mult: 152.0ms (10.2% of total)
ival-pi: 89.0ms (6% of total)
ival-neg: 50.0ms (3.4% of total)
exact: 9.0ms (0.6% of total)
ival-true: 6.0ms (0.4% of total)
ival-assert: 4.0ms (0.3% of total)
adjust: 3.0ms (0.2% of total)
Bogosity

explain187.0ms (2.6%)

Memory
-0.7MiB live, 431.6MiB allocated; 40ms collecting garbage
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
73.0ms512×0valid
Compiler

Compiled 168 to 46 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-cos: 18.0ms (35.8% of total)
ival-div: 12.0ms (23.8% of total)
ival-mult: 7.0ms (13.9% of total)
ival-acos: 5.0ms (9.9% of total)
ival-neg: 3.0ms (6% of total)
ival-pi: 2.0ms (4% of total)
ival-add: 2.0ms (4% of total)
exact: 1.0ms (2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess205.0ms (2.9%)

Memory
-23.0MiB live, 200.7MiB allocated; 77ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03066
17966
215066
333466
477566
5160366
6243666
7451864
01416
02414
14214
27714
315214
429714
544414
647114
752814
866714
970414
1091314
11210714
12491114
13612014
0808913
Stop Event
iter limit
node limit
iter limit
node 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)))))
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 (/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (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; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
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)

simplify160.0ms (2.2%)

Memory
-10.8MiB live, 200.9MiB allocated; 94ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
cost-diff0
(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
cost-diff1
(+.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-diff2
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01474
02468
14266
27766
315266
429766
544466
647166
752866
866766
970466
1091366
11210766
12491166
13612066
0808963
Stop Event
iter limit
node limit
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 (/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (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 (/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (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 (fma.f64 (PI.f64) #s(literal 2 binary64) (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

localize43.0ms (0.6%)

Memory
23.3MiB live, 114.4MiB allocated; 4ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.9453125
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
accuracy0.96484375
(+.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)))
accuracy0.96875
(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))))
accuracy1.0
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))
Samples
34.0ms256×0valid
Compiler

Compiled 76 to 16 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-cos: 7.0ms (29.8% of total)
ival-div: 5.0ms (21.3% of total)
ival-mult: 5.0ms (21.3% of total)
ival-acos: 2.0ms (8.5% of total)
ival-pi: 1.0ms (4.3% of total)
ival-add: 1.0ms (4.3% of total)
ival-neg: 1.0ms (4.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
-23.6MiB live, 28.2MiB allocated; 6ms collecting garbage
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
4.0ms
h
@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
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))

simplify120.0ms (1.7%)

Memory
36.0MiB live, 174.2MiB allocated; 7ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01544
13544
27044
311344
415244
516344
619244
724944
826644
939144
10107341
11291741
12568441
13738441
0838840
Stop Event
iter limit
node limit
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 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 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 #s(literal -4/3 binary64) (PI.f64))))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))

rewrite121.0ms (1.7%)

Memory
-4.3MiB live, 184.8MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01455
02433
19127
268319
0935918
Stop Event
iter limit
node limit
iter limit
Counts
5 → 119
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
#s(literal 0 binary64)
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) #s(literal 9 binary64)) (-.f64 #s(literal 0 binary64) (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))))) #s(literal -3 binary64))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) #s(literal 9 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 3 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) #s(literal 0 binary64)) #s(literal 27 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 0 binary64))) #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 0 binary64))) #s(literal 9 binary64))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) #s(literal 0 binary64)) #s(literal 27 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 0 binary64))) #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64))) (fma.f64 (/.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 0 binary64))) #s(literal 9 binary64)) (fma.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) #s(literal 9 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))) #s(literal 27 binary64))) (fma.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) #s(literal 9 binary64)) (fma.f64 #s(literal -3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 0 binary64))) #s(literal 9 binary64))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) #s(literal 9 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) #s(literal 9 binary64))) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) #s(literal 9 binary64)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) #s(literal 0 binary64))) #s(literal -9 binary64))
(*.f64 (fma.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) #s(literal 0 binary64))))
(*.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)) (/.f64 (/.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 0 binary64)) #s(literal -3 binary64)) (/.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 0 binary64)) #s(literal -3 binary64))))
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(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 6 binary64)) (/.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 6 binary64)) (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 6 binary64)) (/.f64 (PI.f64) #s(literal 6 binary64)) (fma.f64 (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 6 binary64)) (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) (*.f64 (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))) (*.f64 (fma.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -3 binary64))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
(neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -3 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 6 binary64)) (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 g h)) #s(literal 3 binary64)))

eval29.0ms (0.4%)

Memory
8.7MiB live, 58.5MiB allocated; 6ms collecting garbage
Compiler

Compiled 3 918 to 596 computations (84.8% saved)

prune4.0ms (0.1%)

Memory
-35.5MiB live, 11.4MiB allocated; 2ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1183121
Fresh000
Picked101
Done000
Total1193122
Accuracy
98.5%
Counts
122 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
1.6%
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))))
98.4%
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
98.5%
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
Compiler

Compiled 67 to 60 computations (10.4% saved)

simplify128.0ms (1.8%)

Memory
28.3MiB live, 215.3MiB allocated; 25ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(acos.f64 (/.f64 (neg.f64 g) h))
cost-diff0
(cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)))
cost-diff0
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))))
cost-diff1
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))
cost-diff0
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
cost-diff0
#s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
cost-diff0
(cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))
cost-diff0
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
cost-diff0
(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))
cost-diff0
(cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))
cost-diff0
(*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
cost-diff0
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035233
051222
197222
2191222
3348222
4652222
51044222
61514222
71745222
82454222
93375222
105427222
08025218
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
(PI.f64)
#s(literal 1/3 binary64)
#s(literal -2 binary64)
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (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.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))
#s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
#s(literal 1/3 binary64)
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(PI.f64)
#s(literal 2/3 binary64)
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))))
#s(literal 2 binary64)
(cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
#s(literal 1/3 binary64)
#s(literal 0 binary64)
Outputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))))
(*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))))
(cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))
(cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
(PI.f64)
#s(literal 1/3 binary64)
#s(literal -2 binary64)
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
(*.f64 (cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (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 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))
(cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
#s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
#s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
#s(literal 1/3 binary64)
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(*.f64 #s(literal 2/3 binary64) (PI.f64))
(PI.f64)
#s(literal 2/3 binary64)
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)))
(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
#s(literal 1/3 binary64)
#s(literal 0 binary64)

localize84.0ms (1.2%)

Memory
-3.2MiB live, 186.9MiB allocated; 9ms collecting garbage
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 g)
accuracy0.0
(acos.f64 (/.f64 (neg.f64 g) h))
accuracy0.00390625
(cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)))
accuracy0.9609375
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))
accuracy0.0
#s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
accuracy0.0078125
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
accuracy0.96875
(cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))
accuracy1.0
(*.f64 (PI.f64) #s(literal 2/3 binary64))
accuracy0.0
(PI.f64)
accuracy0.0
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
accuracy0.02734375
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
accuracy0.96875
(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))
Samples
65.0ms256×0valid
Compiler

Compiled 193 to 30 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-cos: 13.0ms (27.2% of total)
ival-mult: 11.0ms (23% of total)
const: 6.0ms (12.5% of total)
ival-div: 5.0ms (10.5% of total)
ival-add: 3.0ms (6.3% of total)
ival-neg: 3.0ms (6.3% of total)
ival-acos: 2.0ms (4.2% of total)
ival-pi: 1.0ms (2.1% of total)
ival-sub: 1.0ms (2.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
0.5MiB live, 47.1MiB allocated; 2ms collecting garbage
Counts
16 → 12
Calls
Call 1
Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
(cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))
#s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))))
(cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)))
(acos.f64 (/.f64 (neg.f64 g) h))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(PI.f64)
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(neg.f64 g)
Outputs
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(* -2 (cos (* 1/3 (- (acos (* -1 (/ g h))) (PI)))))
(cos (* 1/3 (- (acos (* -1 (/ g h))) (PI))))
(* 1/3 (- (acos (* -1 (/ g h))) (PI)))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(* 1/3 (acos (* -1 (/ g h))))
(* 2 (cos (* 1/3 (acos (* -1 (/ g h))))))
(cos (* 1/3 (acos (* -1 (/ g h)))))
(acos (* -1 (/ g h)))
(- (acos (* -1 (/ g h))) (PI))
(* -1 g)
Calls

6 calls:

TimeVariablePointExpression
4.0ms
g
@inf
((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (acos (/ (neg g) h)) (PI)) 1/3)) -2) (cos (* (- (acos (/ (neg g) h)) (PI)) 1/3)) (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (+ (* (acos (/ (neg g) h)) 1/3) (* (PI) 2/3)) (+ (* (acos (/ (neg g) h)) 1/3) 0) (* 2 (cos (+ (* (acos (/ (neg g) h)) 1/3) 0))) (cos (+ (* (acos (/ (neg g) h)) 1/3) 0)) (acos (/ (neg g) h)) (- (acos (/ (neg g) h)) (PI)) (PI) (* (PI) 2/3) (neg g))
3.0ms
g
@0
((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (acos (/ (neg g) h)) (PI)) 1/3)) -2) (cos (* (- (acos (/ (neg g) h)) (PI)) 1/3)) (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (+ (* (acos (/ (neg g) h)) 1/3) (* (PI) 2/3)) (+ (* (acos (/ (neg g) h)) 1/3) 0) (* 2 (cos (+ (* (acos (/ (neg g) h)) 1/3) 0))) (cos (+ (* (acos (/ (neg g) h)) 1/3) 0)) (acos (/ (neg g) h)) (- (acos (/ (neg g) h)) (PI)) (PI) (* (PI) 2/3) (neg g))
3.0ms
g
@-inf
((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (acos (/ (neg g) h)) (PI)) 1/3)) -2) (cos (* (- (acos (/ (neg g) h)) (PI)) 1/3)) (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (+ (* (acos (/ (neg g) h)) 1/3) (* (PI) 2/3)) (+ (* (acos (/ (neg g) h)) 1/3) 0) (* 2 (cos (+ (* (acos (/ (neg g) h)) 1/3) 0))) (cos (+ (* (acos (/ (neg g) h)) 1/3) 0)) (acos (/ (neg g) h)) (- (acos (/ (neg g) h)) (PI)) (PI) (* (PI) 2/3) (neg g))
3.0ms
h
@inf
((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (acos (/ (neg g) h)) (PI)) 1/3)) -2) (cos (* (- (acos (/ (neg g) h)) (PI)) 1/3)) (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (+ (* (acos (/ (neg g) h)) 1/3) (* (PI) 2/3)) (+ (* (acos (/ (neg g) h)) 1/3) 0) (* 2 (cos (+ (* (acos (/ (neg g) h)) 1/3) 0))) (cos (+ (* (acos (/ (neg g) h)) 1/3) 0)) (acos (/ (neg g) h)) (- (acos (/ (neg g) h)) (PI)) (PI) (* (PI) 2/3) (neg g))
3.0ms
h
@-inf
((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (acos (/ (neg g) h)) (PI)) 1/3)) -2) (cos (* (- (acos (/ (neg g) h)) (PI)) 1/3)) (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (+ (* (acos (/ (neg g) h)) 1/3) (* (PI) 2/3)) (+ (* (acos (/ (neg g) h)) 1/3) 0) (* 2 (cos (+ (* (acos (/ (neg g) h)) 1/3) 0))) (cos (+ (* (acos (/ (neg g) h)) 1/3) 0)) (acos (/ (neg g) h)) (- (acos (/ (neg g) h)) (PI)) (PI) (* (PI) 2/3) (neg g))

simplify116.0ms (1.6%)

Memory
25.6MiB live, 160.9MiB allocated; 15ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023109
156109
2105109
3165109
4221109
5228109
6263109
7340109
8385109
9634109
101738104
114553104
127621104
08201103
Stop Event
iter limit
node limit
Counts
12 → 12
Calls
Call 1
Inputs
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(* -2 (cos (* 1/3 (- (acos (* -1 (/ g h))) (PI)))))
(cos (* 1/3 (- (acos (* -1 (/ g h))) (PI))))
(* 1/3 (- (acos (* -1 (/ g h))) (PI)))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(* 1/3 (acos (* -1 (/ g h))))
(* 2 (cos (* 1/3 (acos (* -1 (/ g h))))))
(cos (* 1/3 (acos (* -1 (/ g h)))))
(acos (* -1 (/ g h)))
(- (acos (* -1 (/ g h))) (PI))
(* -1 g)
Outputs
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal -1/3 binary64))) #s(literal -2 binary64))
(* -2 (cos (* 1/3 (- (acos (* -1 (/ g h))) (PI)))))
(*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal -1/3 binary64))) #s(literal -2 binary64))
(cos (* 1/3 (- (acos (* -1 (/ g h))) (PI))))
(cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal -1/3 binary64)))
(* 1/3 (- (acos (* -1 (/ g h))) (PI)))
(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 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 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))
(* 2 (cos (* 1/3 (acos (* -1 (/ g h))))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))
(cos (* 1/3 (acos (* -1 (/ g h)))))
(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(acos (* -1 (/ g h)))
(acos.f64 (/.f64 (neg.f64 g) h))
(- (acos (* -1 (/ g h))) (PI))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(* -1 g)
(neg.f64 g)

rewrite247.0ms (3.5%)

Memory
3.5MiB live, 272.4MiB allocated; 77ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035192
051181
1188181
21535181
08355177
Stop Event
iter limit
node limit
iter limit
Counts
16 → 841
Calls
Call 1
Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
(cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))
#s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))))
(cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)))
(acos.f64 (/.f64 (neg.f64 g) h))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(PI.f64)
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(neg.f64 g)
Outputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))))
(*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal -2 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 1 binary64))))))
(fma.f64 (sin.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))))
(sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))))
(cos.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))))
(cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(cos.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))
(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (neg.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (neg.f64 (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))))) (neg.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))
(/.f64 (*.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64)))) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))
(*.f64 (cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (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 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))) (neg.f64 (neg.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (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.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))) (neg.f64 (neg.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (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 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))) (neg.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (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.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))) (neg.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (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)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (neg.f64 (PI.f64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))))) (neg.f64 (neg.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64)))) (neg.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(-.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(+.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) (/.f64 (*.f64 (neg.f64 (PI.f64)) (PI.f64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (neg.f64 (PI.f64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (neg.f64 (PI.f64))) (sqrt.f64 (neg.f64 (PI.f64))))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (PI.f64)))
(pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (PI.f64))) (cosh.f64 (log.f64 (PI.f64))) (-.f64 (*.f64 (sinh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64)))) (*.f64 (cosh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64)))))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(fabs.f64 (neg.f64 (PI.f64)))
(fabs.f64 (PI.f64))
(exp.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (log.f64 (PI.f64)))
(+.f64 (cosh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64))))
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(*.f64 (fabs.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (fabs.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (fabs.f64 (/.f64 (PI.f64) #s(literal 3 binary64))) #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 (/.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (*.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)) (fabs.f64 (*.f64 (cbrt.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 #s(literal 2/3 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(*.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (PI.f64) #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 3 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (PI.f64)))) #s(literal -3 binary64))
(/.f64 (fabs.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (PI.f64)))) #s(literal 3 binary64))
(/.f64 (fabs.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 3 binary64))
(/.f64 (fabs.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) #s(literal -3 binary64))
(/.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) #s(literal 3 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (/.f64 (PI.f64) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) (/.f64 (PI.f64) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 (PI.f64) (PI.f64))))
(-.f64 (/.f64 (PI.f64) #s(literal 3 binary64)) (/.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64)))
(fabs.f64 (/.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) #s(literal 3 binary64)))
(fabs.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 2/3 binary64)))
(fabs.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+.f64 (/.f64 (PI.f64) #s(literal 3 binary64)) (/.f64 (PI.f64) #s(literal 3 binary64)))
(log.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(neg.f64 g)

eval1.2s (16.4%)

Memory
-214.2MiB live, 408.9MiB allocated; 1.6s collecting garbage
Compiler

Compiled 38 832 to 4 025 computations (89.6% saved)

prune28.0ms (0.4%)

Memory
10.3MiB live, 101.6MiB allocated; 5ms collecting garbage
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New9223925
Fresh000
Picked123
Done000
Total9235928
Accuracy
100.0%
Counts
928 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
1.6%
(*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))
98.4%
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
100.0%
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64)))
98.5%
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
98.5%
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
Compiler

Compiled 128 to 111 computations (13.3% saved)

simplify124.0ms (1.7%)

Memory
13.7MiB live, 204.1MiB allocated; 24ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(acos.f64 (/.f64 (neg.f64 g) h))
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
(*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))
cost-diff0
(fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff0
(*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64))
cost-diff0
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64)))
cost-diff3
(sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
cost-diff0
(*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
cost-diff0
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
cost-diff1
(*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))
cost-diff3
(-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038229
058216
192216
2157216
3265206
4436201
5565197
6604197
7689197
8877197
9967197
101455197
113756197
126688197
08176195
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))
(-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64))
(-.f64 (PI.f64) (acos.f64 (/.f64 g h)))
(PI.f64)
(acos.f64 (/.f64 g h))
(/.f64 g h)
g
h
#s(literal 1/3 binary64)
#s(literal -2 binary64)
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64)))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64))
(sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(literal 1/3 binary64)
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
(PI.f64)
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -2 binary64)
(*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))
(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 2 binary64)
Outputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g h))))))
(*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g h)))))
(cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64)))
(cos.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g h))))
(*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))
(-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64))
(neg.f64 (acos.f64 (/.f64 g h)))
(-.f64 (PI.f64) (acos.f64 (/.f64 g h)))
(PI.f64)
(acos.f64 (/.f64 g h))
(/.f64 g h)
g
h
#s(literal 1/3 binary64)
#s(literal -2 binary64)
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64)))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64))
(*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(literal 1/3 binary64)
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
(PI.f64)
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -2 binary64)
(*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(cos.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)))
#s(literal -1/3 binary64)
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
#s(literal 2 binary64)

localize129.0ms (1.8%)

Memory
18.5MiB live, 218.4MiB allocated; 28ms collecting garbage
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 g)
accuracy0.0
(acos.f64 (/.f64 (neg.f64 g) h))
accuracy0.00390625
(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
accuracy0.9609375
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
accuracy0.0
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64)))
accuracy0.02734375
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
accuracy0.94921875
(sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
accuracy0.95703125
(fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy0.0
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
accuracy0.02734375
(-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64))
accuracy0.02734375
(-.f64 (PI.f64) (acos.f64 (/.f64 g h)))
accuracy0.96875
(*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))
Samples
106.0ms256×0valid
Compiler

Compiled 204 to 35 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-mult: 23.0ms (25.6% of total)
ival-sin: 23.0ms (25.6% of total)
ival-cos: 12.0ms (13.4% of total)
ival-div: 9.0ms (10% of total)
ival-sub: 7.0ms (7.8% of total)
const: 7.0ms (7.8% of total)
ival-acos: 4.0ms (4.5% of total)
ival-add: 2.0ms (2.2% of total)
ival-pi: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series32.0ms (0.4%)

Memory
5.4MiB live, 51.1MiB allocated; 11ms collecting garbage
Counts
15 → 14
Calls
Call 1
Inputs
(-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64))
(*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64)))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64))
(fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))
(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)))
(acos.f64 (/.f64 (neg.f64 g) h))
(-.f64 (PI.f64) (acos.f64 (/.f64 g h)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(neg.f64 g)
Outputs
(* -1 (acos (/ g h)))
(* -1/3 (acos (/ g h)))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(* -2 (cos (* -1/3 (acos (/ g h)))))
(sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI))))
(* -2 (sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))))
(+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))
(* 2 (cos (* -1/3 (acos (* -1 (/ g h))))))
(cos (* -1/3 (acos (* -1 (/ g h)))))
(* -1/3 (acos (* -1 (/ g h))))
(acos (* -1 (/ g h)))
(- (PI) (acos (/ g h)))
(- (acos (* -1 (/ g h))) (PI))
(* -1 g)
Calls

6 calls:

TimeVariablePointExpression
14.0ms
g
@0
((- (- (PI) (acos (/ g h))) (PI)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* (cos (* -1/3 (acos (/ (neg g) h)))) 2) (cos (* -1/3 (acos (/ (neg g) h)))) (* -1/3 (acos (/ (neg g) h))) (acos (/ (neg g) h)) (- (PI) (acos (/ g h))) (- (acos (/ (neg g) h)) (PI)) (neg g))
4.0ms
g
@inf
((- (- (PI) (acos (/ g h))) (PI)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* (cos (* -1/3 (acos (/ (neg g) h)))) 2) (cos (* -1/3 (acos (/ (neg g) h)))) (* -1/3 (acos (/ (neg g) h))) (acos (/ (neg g) h)) (- (PI) (acos (/ g h))) (- (acos (/ (neg g) h)) (PI)) (neg g))
4.0ms
h
@inf
((- (- (PI) (acos (/ g h))) (PI)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* (cos (* -1/3 (acos (/ (neg g) h)))) 2) (cos (* -1/3 (acos (/ (neg g) h)))) (* -1/3 (acos (/ (neg g) h))) (acos (/ (neg g) h)) (- (PI) (acos (/ g h))) (- (acos (/ (neg g) h)) (PI)) (neg g))
3.0ms
g
@-inf
((- (- (PI) (acos (/ g h))) (PI)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* (cos (* -1/3 (acos (/ (neg g) h)))) 2) (cos (* -1/3 (acos (/ (neg g) h)))) (* -1/3 (acos (/ (neg g) h))) (acos (/ (neg g) h)) (- (PI) (acos (/ g h))) (- (acos (/ (neg g) h)) (PI)) (neg g))
3.0ms
h
@-inf
((- (- (PI) (acos (/ g h))) (PI)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* (cos (* -1/3 (acos (/ (neg g) h)))) 2) (cos (* -1/3 (acos (/ (neg g) h)))) (* -1/3 (acos (/ (neg g) h))) (acos (/ (neg g) h)) (- (PI) (acos (/ g h))) (- (acos (/ (neg g) h)) (PI)) (neg g))

simplify133.0ms (1.9%)

Memory
-28.8MiB live, 156.5MiB allocated; 27ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034122
178122
2138122
3216122
4298122
5332122
6377122
7475122
8561122
9991122
102706120
116287120
08220117
Stop Event
iter limit
node limit
Counts
14 → 14
Calls
Call 1
Inputs
(* -1 (acos (/ g h)))
(* -1/3 (acos (/ g h)))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(* -2 (cos (* -1/3 (acos (/ g h)))))
(sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI))))
(* -2 (sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))))
(+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))
(* 2 (cos (* -1/3 (acos (* -1 (/ g h))))))
(cos (* -1/3 (acos (* -1 (/ g h)))))
(* -1/3 (acos (* -1 (/ g h))))
(acos (* -1 (/ g h)))
(- (PI) (acos (/ g h)))
(- (acos (* -1 (/ g h))) (PI))
(* -1 g)
Outputs
(* -1 (acos (/ g h)))
(neg.f64 (acos.f64 (/.f64 g h)))
(* -1/3 (acos (/ g h)))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal -1/3 binary64))) #s(literal -2 binary64))
(* -2 (cos (* -1/3 (acos (/ g h)))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g h)))) #s(literal -2 binary64))
(sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI))))
(sin.f64 (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(* -2 (sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))))
(*.f64 (sin.f64 (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -2 binary64))
(+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))
(fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 2 (cos (* -1/3 (acos (* -1 (/ g h))))))
(*.f64 (cos.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64))) #s(literal 2 binary64))
(cos (* -1/3 (acos (* -1 (/ g h)))))
(cos.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))
(acos (* -1 (/ g h)))
(acos.f64 (/.f64 (neg.f64 g) h))
(- (PI) (acos (/ g h)))
(-.f64 (PI.f64) (acos.f64 (/.f64 g h)))
(- (acos (* -1 (/ g h))) (PI))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(* -1 g)
(neg.f64 g)

rewrite258.0ms (3.6%)

Memory
7.5MiB live, 255.1MiB allocated; 74ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038178
058160
1204160
21349160
08102158
Stop Event
iter limit
node limit
iter limit
Counts
15 → 242
Calls
Call 1
Inputs
(-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64))
(*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64)))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64))
(fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))
(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)))
(acos.f64 (/.f64 (neg.f64 g) h))
(-.f64 (PI.f64) (acos.f64 (/.f64 g h)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(neg.f64 g)
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))) (+.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (*.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (neg.f64 (PI.f64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))))) (neg.f64 (neg.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64))) (+.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64)))) (neg.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))
(/.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))) (/.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))
(-.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))) (/.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))))
(-.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(-.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(-.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))
(+.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (*.f64 (neg.f64 (PI.f64)) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (neg.f64 (PI.f64)))
(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (neg.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (neg.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))))) (neg.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64)))) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal -2 binary64)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal -2 binary64))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 (/.f64 g h)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 g h)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (acos.f64 (/.f64 g h)) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 g h)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (neg.f64 g) h))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 g h)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (neg.f64 g) h))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 (/.f64 g h)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 g h)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (acos.f64 (/.f64 g h)) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 (/.f64 g h)) #s(literal 2 binary64))) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))
(/.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 g h)) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 g h)) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (neg.f64 g) h)))) (/.f64 (pow.f64 (asin.f64 (/.f64 g h)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (neg.f64 g) h)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 g h)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (neg.f64 g) h)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 g h)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (neg.f64 g) h)))))))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))) (/.f64 (pow.f64 (acos.f64 (/.f64 g h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))))
(-.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 g h)) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (acos.f64 (/.f64 g h)) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 g h)) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (neg.f64 g) h)))
(-.f64 (PI.f64) (acos.f64 (/.f64 g h)))
(+.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (/.f64 g h)))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))) (/.f64 (*.f64 (neg.f64 (acos.f64 (/.f64 g h))) (acos.f64 (/.f64 g h))) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))) (+.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (*.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (neg.f64 (PI.f64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))))) (neg.f64 (neg.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64))) (+.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64)))) (neg.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))
(/.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))) (/.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))
(-.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))) (/.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))))
(-.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(-.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(-.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))
(+.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (*.f64 (neg.f64 (PI.f64)) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (neg.f64 (PI.f64)))
(neg.f64 g)

eval38.0ms (0.5%)

Memory
24.5MiB live, 69.6MiB allocated; 5ms collecting garbage
Compiler

Compiled 12 369 to 1 250 computations (89.9% saved)

prune43.0ms (0.6%)

Memory
-32.5MiB live, 13.0MiB allocated; 4ms collecting garbage
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2202222
Fresh000
Picked303
Done112
Total2243227
Accuracy
100.0%
Counts
227 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
100.0%
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
98.5%
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
Compiler

Compiled 110 to 86 computations (21.8% saved)

simplify138.0ms (1.9%)

Memory
6.7MiB live, 172.6MiB allocated; 30ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
045276
062272
197272
2150272
3246264
4403260
5522260
6608256
7780256
8831256
91088256
102460256
115253256
127148256
08308250
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
(*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64))
(cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))))
#s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))
#s(literal -1/3 binary64)
(acos.f64 (/.f64 g h))
(/.f64 g h)
g
h
#s(literal -2 binary64)
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
(*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64))
(sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
(PI.f64)
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
#s(literal -2 binary64)
Outputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 #s(literal -2 binary64) (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))))
(*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))))
(cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))))
(cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))
#s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))
#s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))
(*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(acos.f64 (/.f64 g h))
(/.f64 g h)
g
h
#s(literal -2 binary64)
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
(*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64))
(sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
(PI.f64)
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
#s(literal -2 binary64)

localize113.0ms (1.6%)

Memory
-0.1MiB live, 144.7MiB allocated; 17ms collecting garbage
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
accuracy0.02734375
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
accuracy0.94921875
(sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
accuracy0.95703125
(fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
accuracy0.0
(acos.f64 (/.f64 g h))
accuracy0.0
#s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))
accuracy0.0
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
accuracy0.96875
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))
Samples
92.0ms256×0valid
Compiler

Compiled 168 to 37 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-mult: 17.0ms (21.8% of total)
ival-div: 16.0ms (20.6% of total)
ival-sin: 13.0ms (16.7% of total)
ival-cos: 10.0ms (12.9% of total)
const: 7.0ms (9% of total)
ival-acos: 5.0ms (6.4% of total)
ival-add: 3.0ms (3.9% of total)
ival-sub: 3.0ms (3.9% of total)
ival-pi: 1.0ms (1.3% of total)
ival-neg: 1.0ms (1.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory
-20.7MiB live, 24.1MiB allocated; 15ms collecting garbage
Counts
12 → 9
Calls
Call 1
Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
(*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64))
(cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))))
#s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
(*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64))
(sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))
(acos.f64 (/.f64 g h))
(fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
Outputs
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(* -2 (cos (* -1/3 (acos (/ g h)))))
(cos (* -1/3 (acos (/ g h))))
(* -1/3 (acos (/ g h)))
(* -2 (sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))))
(sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI))))
(+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))
(acos (/ g h))
(- (acos (* -1 (/ g h))) (PI))
Calls

6 calls:

TimeVariablePointExpression
10.0ms
g
@-inf
((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* -1/3 (acos (/ g h))) (acos (/ g h)) (+ (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 1/2 (PI))) (- (acos (/ (neg g) h)) (PI)))
2.0ms
g
@0
((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* -1/3 (acos (/ g h))) (acos (/ g h)) (+ (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 1/2 (PI))) (- (acos (/ (neg g) h)) (PI)))
2.0ms
h
@0
((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* -1/3 (acos (/ g h))) (acos (/ g h)) (+ (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 1/2 (PI))) (- (acos (/ (neg g) h)) (PI)))
2.0ms
g
@inf
((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* -1/3 (acos (/ g h))) (acos (/ g h)) (+ (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 1/2 (PI))) (- (acos (/ (neg g) h)) (PI)))
2.0ms
h
@inf
((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* -1/3 (acos (/ g h))) (acos (/ g h)) (+ (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 1/2 (PI))) (- (acos (/ (neg g) h)) (PI)))

simplify204.0ms (2.9%)

Memory
0.8MiB live, 188.5MiB allocated; 24ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02890
16290
211690
318190
424690
526190
630490
738290
845390
982790
10237788
11564488
12788488
0866485
Stop Event
iter limit
node limit
Counts
9 → 9
Calls
Call 1
Inputs
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(* -2 (cos (* -1/3 (acos (/ g h)))))
(cos (* -1/3 (acos (/ g h))))
(* -1/3 (acos (/ g h)))
(* -2 (sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))))
(sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI))))
(+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))
(acos (/ g h))
(- (acos (* -1 (/ g h))) (PI))
Outputs
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal -1/3 binary64))) #s(literal -2 binary64))
(* -2 (cos (* -1/3 (acos (/ g h)))))
(*.f64 (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(cos (* -1/3 (acos (/ g h))))
(cos.f64 (*.f64 (acos.f64 (/.f64 g h)) #s(literal 1/3 binary64)))
(* -1/3 (acos (/ g h)))
(*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))
(* -2 (sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))))
(*.f64 (sin.f64 (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -2 binary64))
(sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI))))
(sin.f64 (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))
(fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(acos (/ g h))
(acos.f64 (/.f64 g h))
(- (acos (* -1 (/ g h))) (PI))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))

rewrite189.0ms (2.7%)

Memory
33.6MiB live, 268.3MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045249
062241
1217241
21438241
08381235
Stop Event
iter limit
node limit
iter limit
Counts
12 → 112
Calls
Call 1
Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
(*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64))
(cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))))
#s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
(*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64))
(sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))
(acos.f64 (/.f64 g h))
(fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
Outputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 #s(literal -2 binary64) (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))))
(*.f64 #s(literal -2 binary64) (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))))
(*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 0 binary64)) (*.f64 (sin.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 0 binary64))) (*.f64 (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))) (-.f64 (*.f64 (sin.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 0 binary64)) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 0 binary64)) (*.f64 (sin.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 0 binary64)) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64))))))
(fma.f64 (sin.f64 (neg.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))) #s(literal 0 binary64) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 0 binary64) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) (*.f64 #s(literal 0 binary64) (sin.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))))
(sin.f64 (+.f64 (neg.f64 (neg.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))))))
(cos.f64 (neg.f64 (neg.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))))
(cos.f64 (neg.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))))
(cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))
(+.f64 (*.f64 (sin.f64 (neg.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))) #s(literal 0 binary64)) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))) (*.f64 #s(literal 0 binary64) (sin.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))))
(+.f64 (*.f64 (sin.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 0 binary64)) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
#s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
(*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 g h)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 g h)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 g h)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 g h)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 g h)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 g h)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 g h))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 g h)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 g h)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 g h))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 g h)))) (/.f64 (pow.f64 (asin.f64 (/.f64 g h)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 g h)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 g h)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 g h)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 g h)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 g h)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 g h)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 g h)))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))
(acos.f64 (/.f64 g h))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (pow.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (neg.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) #s(literal 1/3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (neg.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64))) (+.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64)))) (neg.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))
(/.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))) (/.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))
(-.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))) (/.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))))
(-.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(-.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))
(-.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))
(+.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (*.f64 (neg.f64 (PI.f64)) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (neg.f64 (PI.f64)))

eval51.0ms (0.7%)

Memory
-2.2MiB live, 41.8MiB allocated; 6ms collecting garbage
Compiler

Compiled 8 612 to 819 computations (90.5% saved)

prune53.0ms (0.7%)

Memory
-33.5MiB live, 33.9MiB allocated; 13ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1190119
Fresh000
Picked022
Done011
Total1193122
Accuracy
100.0%
Counts
122 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
100.0%
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
98.5%
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
Compiler

Compiled 348 to 168 computations (51.7% saved)

regimes28.0ms (0.4%)

Memory
-3.6MiB live, 39.9MiB allocated; 7ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 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
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
Calls

9 calls:

8.0ms
(/.f64 (neg.f64 g) h)
3.0ms
(neg.f64 g)
3.0ms
h
3.0ms
g
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%1(neg.f64 g)
100.0%1(/.f64 (neg.f64 g) h)
100.0%1(acos.f64 (/.f64 (neg.f64 g) h))
100.0%1(/.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(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 #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%1g
100.0%1h
Compiler

Compiled 63 to 62 computations (1.6% saved)

regimes21.0ms (0.3%)

Memory
-2.1MiB live, 41.6MiB allocated; 8ms collecting garbage
Accuracy

Total -62.1b remaining (-6537%)

Threshold costs -62.1b (-6537%)

Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
Outputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
Calls

9 calls:

6.0ms
(neg.f64 g)
2.0ms
h
2.0ms
g
2.0ms
(/.f64 (neg.f64 g) h)
2.0ms
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
98.5%1(neg.f64 g)
98.5%1(/.f64 (neg.f64 g) h)
98.5%1(acos.f64 (/.f64 (neg.f64 g) h))
98.5%1(/.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(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 #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%1g
98.5%1h
Compiler

Compiled 63 to 62 computations (1.6% saved)

simplify39.0ms (0.5%)

Memory
13.1MiB live, 57.6MiB allocated; 7ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
04579
17479
212179
321777
441376
559376
680576
7272176
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
Outputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))

derivations439.0ms (6.1%)

Memory
-1.4MiB live, 530.3MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035192
051181
1188181
21535181
08355177
01544
13544
27044
311344
415244
516344
619244
724944
826644
939144
10107341
11291741
12568441
13738441
0838840
034122
178122
2138122
3216122
4298122
5332122
6377122
7475122
8561122
9991122
102706120
116287120
08220117
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 83 to 46 computations (44.6% saved)

preprocess59.0ms (0.8%)

Memory
-6.4MiB live, 40.0MiB allocated; 3ms collecting garbage
Compiler

Compiled 198 to 120 computations (39.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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