2-ancestry mixing, negative discriminant

Time bar (total: 6.3s)

start0.0ms (0%)

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

analyze114.0ms (1.8%)

Memory
35.7MiB live, 559.2MiB allocated; 28ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
26.7%25%68.7%0.1%0%6.2%0%5
27.6%25%65.6%0.1%0%9.4%0%6
49%37.5%39%0.1%0%23.4%0%7
50.5%37.5%36.7%0.1%0%25.8%0%8
67.9%43.7%20.7%0.1%0%35.5%0%9
69.3%43.7%19.3%0.1%0%36.9%0%10
81.5%46.8%10.6%0.1%0%42.4%0%11
82.5%46.8%9.9%0.1%0%43.2%0%12
Compiler

Compiled 18 to 16 computations (11.1% saved)

sample2.0s (31.7%)

Memory
57.9MiB live, 3 340.6MiB allocated; 419ms collecting garbage
Samples
1.2s8 256×0valid
194.0ms1 113×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-cos: 336.0ms (33.4% of total)
ival-div: 233.0ms (23.2% of total)
ival-mult: 158.0ms (15.7% of total)
ival-acos: 86.0ms (8.6% of total)
ival-add: 66.0ms (6.6% of total)
ival-neg: 64.0ms (6.4% of total)
ival-pi: 42.0ms (4.2% of total)
exact: 9.0ms (0.9% of total)
ival-true: 6.0ms (0.6% of total)
adjust: 3.0ms (0.3% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain187.0ms (3%)

Memory
28.8MiB live, 418.0MiB allocated; 38ms 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
65.0ms512×0valid
Compiler

Compiled 168 to 46 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-cos: 18.0ms (39% of total)
ival-div: 10.0ms (21.7% of total)
ival-mult: 7.0ms (15.2% of total)
ival-acos: 4.0ms (8.7% of total)
ival-pi: 2.0ms (4.3% of total)
ival-add: 2.0ms (4.3% of total)
ival-neg: 2.0ms (4.3% of total)
exact: 1.0ms (2.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess168.0ms (2.7%)

Memory
-9.0MiB live, 222.2MiB allocated; 38ms collecting garbage
Algorithm
1×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
1×iter limit
1×node limit
1×iter limit
1×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
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.5%
(*.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)

simplify129.0ms (2.1%)

Memory
-5.2MiB live, 150.0MiB allocated; 27ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
cost-diff0
(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
cost-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
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
#s(literal 2 binary64)
(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (PI.f64))
(PI.f64)
#s(literal 3 binary64)
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
Outputs
(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
(*.f64 (cos.f64 (/.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

localize45.0ms (0.7%)

Memory
16.5MiB live, 60.3MiB allocated; 10ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.9453125
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
accuracy0.95703125
(+.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)))
accuracy0.98046875
(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
accuracy1.0
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))
Samples
36.0ms256×0valid
Compiler

Compiled 76 to 16 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 11.0ms (40.5% of total)
ival-cos: 7.0ms (25.7% of total)
ival-mult: 3.0ms (11% of total)
ival-acos: 2.0ms (7.4% of total)
ival-pi: 1.0ms (3.7% of total)
ival-add: 1.0ms (3.7% of total)
ival-neg: 1.0ms (3.7% 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)

series27.0ms (0.4%)

Memory
-28.5MiB live, 24.9MiB allocated; 21ms 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
19.0ms
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))
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
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))

simplify130.0ms (2.1%)

Memory
18.2MiB live, 151.2MiB allocated; 17ms collecting garbage
Algorithm
1×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
1×iter limit
1×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))

rewrite126.0ms (2%)

Memory
8.0MiB live, 151.8MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01455
02433
19127
268319
0935918
Stop Event
1×iter limit
1×node limit
1×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)))

eval22.0ms (0.3%)

Memory
-9.9MiB live, 35.9MiB allocated; 5ms collecting garbage
Compiler

Compiled 3 918 to 596 computations (84.8% saved)

prune4.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1174121
Fresh000
Picked101
Done000
Total1184122
Accuracy
98.5%
Counts
122 → 4
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 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 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 91 to 81 computations (11% saved)

simplify134.0ms (2.1%)

Memory
-23.9MiB live, 116.2MiB allocated; 26ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 16 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
(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))))
cost-diff0
(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))))))
cost-diff1
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))))
cost-diff2
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 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
042347
063334
1117328
2224328
3414328
4799328
51348328
62122328
72357328
82700328
93756328
106606328
08286321
Stop Event
1×iter limit
1×node limit
1×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 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))))))
#s(literal 2 binary64)
(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 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)
#s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
#s(literal 1/3 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 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))))))
(*.f64 (cos.f64 (fma.f64 #s(literal 2/3 binary64) (PI.f64) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))) #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))))
(cos.f64 (fma.f64 #s(literal 2/3 binary64) (PI.f64) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))))
(fma.f64 #s(literal 2/3 binary64) (PI.f64) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(/.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)
#s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))
#s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))
(*.f64 #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)
(*.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)

localize141.0ms (2.2%)

Memory
17.7MiB live, 170.5MiB allocated; 21ms collecting garbage
Localize:

Found 16 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)))
accuracy0.96875
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))
accuracy0.95703125
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))))
accuracy0.96875
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))
accuracy0.98046875
(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))))
accuracy1.0
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 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))))
accuracy0.015625
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
accuracy0.98046875
(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
#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)))
accuracy0.00390625
(cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))
accuracy0.015625
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
accuracy0.95703125
(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))
Samples
119.0ms256×0valid
Compiler

Compiled 275 to 30 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-mult: 41.0ms (48.8% of total)
ival-div: 16.0ms (19% of total)
ival-cos: 12.0ms (14.3% of total)
const: 6.0ms (7.1% of total)
ival-add: 3.0ms (3.6% of total)
ival-acos: 2.0ms (2.4% of total)
ival-pi: 1.0ms (1.2% of total)
ival-sub: 1.0ms (1.2% of total)
exact: 1.0ms (1.2% of total)
ival-neg: 1.0ms (1.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory
7.1MiB live, 51.7MiB allocated; 4ms collecting garbage
Counts
20 → 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)))
(/.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)) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))))
(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))))))
(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 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))
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 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
5.0ms
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)) (/ (* 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)) 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) 2/3) (* (acos (/ (neg g) h)) 1/3) (neg g))
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)) (/ (* 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)) 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) 2/3) (* (acos (/ (neg g) h)) 1/3) (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)) (/ (* 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)) 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) 2/3) (* (acos (/ (neg g) h)) 1/3) (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)) (/ (* 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)) 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) 2/3) (* (acos (/ (neg g) h)) 1/3) (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)) (/ (* 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)) 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) 2/3) (* (acos (/ (neg g) h)) 1/3) (neg g))

simplify130.0ms (2.1%)

Memory
6.4MiB live, 150.8MiB allocated; 12ms collecting garbage
Algorithm
1×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
1×iter limit
1×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)

rewrite265.0ms (4.2%)

Memory
-20.8MiB live, 303.4MiB allocated; 72ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042270
063257
1222251
21782251
09204244
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 1 195
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)))
(/.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)) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))))
(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))))))
(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 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))
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 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)))
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(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 1/3 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (acos.f64 (/.f64 (neg.f64 g) h))) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 1/3 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (acos.f64 (/.f64 (neg.f64 g) h))) (/.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 1/3 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (acos.f64 (/.f64 (neg.f64 g) h))) (/.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 1/3 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (acos.f64 (/.f64 (neg.f64 g) h))) (/.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 1/3 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (acos.f64 (/.f64 (neg.f64 g) h))) (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (acos.f64 (/.f64 (neg.f64 g) h))) (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (acos.f64 (/.f64 (neg.f64 g) h))) (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/9 binary64) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/9 binary64) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(fma.f64 #s(literal 1/9 binary64) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fabs.f64 (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 1/3 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (*.f64 (fabs.f64 (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 1/3 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (fabs.f64 (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 1/3 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (*.f64 (fabs.f64 (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 1/3 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(fma.f64 (*.f64 (fabs.f64 (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 1/3 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (*.f64 (fabs.f64 (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 1/3 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (/.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (/.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (/.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (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 #s(literal 0 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (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 #s(literal 0 binary64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (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))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (/.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (/.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (/.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (acos.f64 (/.f64 (neg.f64 g) h))) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (acos.f64 (/.f64 (neg.f64 g) h))) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 0 binary64))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (/.f64 #s(literal 0 binary64) (*.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 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(-.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(-.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(-.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 0 binary64))
(+.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(+.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 0 binary64))
(neg.f64 g)

eval268.0ms (4.3%)

Memory
3.7MiB live, 506.3MiB allocated; 108ms collecting garbage
Compiler

Compiled 41 940 to 3 825 computations (90.9% saved)

prune29.0ms (0.5%)

Memory
-12.6MiB live, 93.8MiB allocated; 10ms collecting garbage
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New9264930
Fresh000
Picked314
Done000
Total9295934
Accuracy
100.0%
Counts
934 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.5%
(*.f64 (cos.f64 (fma.f64 #s(literal 2/3 binary64) (PI.f64) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))) #s(literal 2 binary64))
▶1.6%
(*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 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 122 to 106 computations (13.1% saved)

simplify150.0ms (2.4%)

Memory
3.0MiB live, 135.7MiB allocated; 29ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 #s(literal 2/3 binary64) (PI.f64) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
cost-diff0
(cos.f64 (fma.f64 #s(literal 2/3 binary64) (PI.f64) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
cost-diff0
(*.f64 (cos.f64 (fma.f64 #s(literal 2/3 binary64) (PI.f64) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))) #s(literal 2 binary64))
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
044326
069313
1111313
2200313
3337303
4562298
5694294
6833294
71159294
81295294
91862294
104005294
117576294
08196292
Stop Event
1×iter limit
1×node limit
1×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)
(*.f64 (cos.f64 (fma.f64 #s(literal 2/3 binary64) (PI.f64) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))) #s(literal 2 binary64))
(cos.f64 (fma.f64 #s(literal 2/3 binary64) (PI.f64) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(fma.f64 #s(literal 2/3 binary64) (PI.f64) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
#s(literal 2/3 binary64)
(PI.f64)
#s(approx (/ (acos (/ (neg g) h)) 3) (*.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)
(*.f64 (cos.f64 (fma.f64 #s(literal 2/3 binary64) (PI.f64) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))) #s(literal 2 binary64))
(*.f64 (cos.f64 (fma.f64 #s(literal 2/3 binary64) (PI.f64) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))))) #s(literal 2 binary64))
(cos.f64 (fma.f64 #s(literal 2/3 binary64) (PI.f64) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(cos.f64 (fma.f64 #s(literal 2/3 binary64) (PI.f64) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))))
(fma.f64 #s(literal 2/3 binary64) (PI.f64) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(fma.f64 #s(literal 2/3 binary64) (PI.f64) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))))
#s(literal 2/3 binary64)
(PI.f64)
#s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
#s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
#s(literal 2 binary64)

localize154.0ms (2.4%)

Memory
-15.6MiB live, 284.2MiB allocated; 27ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
accuracy0.0390625
(fma.f64 #s(literal 2/3 binary64) (PI.f64) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
accuracy0.96875
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
accuracy0.98046875
(cos.f64 (fma.f64 #s(literal 2/3 binary64) (PI.f64) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
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))))
accuracy0.96875
(*.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)))
accuracy0.015625
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
accuracy0.94140625
(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))))
accuracy0.94921875
(fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy0.00390625
(cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64)))
accuracy0.015625
(-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64))
accuracy0.015625
(-.f64 (PI.f64) (acos.f64 (/.f64 g h)))
accuracy0.95703125
(*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))
Samples
110.0ms256×0valid
Compiler

Compiled 272 to 41 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-cos: 22.0ms (24.6% of total)
ival-mult: 18.0ms (20.1% of total)
ival-div: 11.0ms (12.3% of total)
ival-add: 10.0ms (11.2% of total)
ival-sin: 10.0ms (11.2% of total)
const: 9.0ms (10% of total)
ival-acos: 4.0ms (4.5% of total)
ival-sub: 3.0ms (3.3% 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)

series30.0ms (0.5%)

Memory
29.6MiB live, 75.0MiB allocated; 4ms collecting garbage
Counts
22 → 18
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 (cos.f64 (fma.f64 #s(literal 2/3 binary64) (PI.f64) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))) #s(literal 2 binary64))
(cos.f64 (fma.f64 #s(literal 2/3 binary64) (PI.f64) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(fma.f64 #s(literal 2/3 binary64) (PI.f64) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(PI.f64)
(-.f64 (PI.f64) (acos.f64 (/.f64 g h)))
(cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(neg.f64 g)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
#s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
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)))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(- (PI) (acos (/ g h)))
(cos (* -1/3 (acos (/ g h))))
(- (acos (* -1 (/ g h))) (PI))
(* -1 g)
(* 1/3 (acos (* -1 (/ g h))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
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)) (* (cos (+ (* 2/3 (PI)) (/ (acos (/ (neg g) h)) 3))) 2) (cos (+ (* 2/3 (PI)) (/ (acos (/ (neg g) h)) 3))) (+ (* 2/3 (PI)) (/ (acos (/ (neg g) h)) 3)) (PI) (- (PI) (acos (/ g h))) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (- (acos (/ (neg g) h)) (PI)) (neg g) (* 1/3 (acos (/ (neg g) h))) (/ (acos (/ (neg g) h)) 3))
7.0ms
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)) (* (cos (+ (* 2/3 (PI)) (/ (acos (/ (neg g) h)) 3))) 2) (cos (+ (* 2/3 (PI)) (/ (acos (/ (neg g) h)) 3))) (+ (* 2/3 (PI)) (/ (acos (/ (neg g) h)) 3)) (PI) (- (PI) (acos (/ g h))) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (- (acos (/ (neg g) h)) (PI)) (neg g) (* 1/3 (acos (/ (neg g) h))) (/ (acos (/ (neg g) h)) 3))
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)) (* (cos (+ (* 2/3 (PI)) (/ (acos (/ (neg g) h)) 3))) 2) (cos (+ (* 2/3 (PI)) (/ (acos (/ (neg g) h)) 3))) (+ (* 2/3 (PI)) (/ (acos (/ (neg g) h)) 3)) (PI) (- (PI) (acos (/ g h))) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (- (acos (/ (neg g) h)) (PI)) (neg g) (* 1/3 (acos (/ (neg g) h))) (/ (acos (/ (neg g) h)) 3))
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)) (* (cos (+ (* 2/3 (PI)) (/ (acos (/ (neg g) h)) 3))) 2) (cos (+ (* 2/3 (PI)) (/ (acos (/ (neg g) h)) 3))) (+ (* 2/3 (PI)) (/ (acos (/ (neg g) h)) 3)) (PI) (- (PI) (acos (/ g h))) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (- (acos (/ (neg g) h)) (PI)) (neg g) (* 1/3 (acos (/ (neg g) h))) (/ (acos (/ (neg g) h)) 3))
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)) (* (cos (+ (* 2/3 (PI)) (/ (acos (/ (neg g) h)) 3))) 2) (cos (+ (* 2/3 (PI)) (/ (acos (/ (neg g) h)) 3))) (+ (* 2/3 (PI)) (/ (acos (/ (neg g) h)) 3)) (PI) (- (PI) (acos (/ g h))) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (- (acos (/ (neg g) h)) (PI)) (neg g) (* 1/3 (acos (/ (neg g) h))) (/ (acos (/ (neg g) h)) 3))

simplify168.0ms (2.7%)

Memory
-26.8MiB live, 208.5MiB allocated; 16ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034159
178159
2138159
3216159
4298159
5332159
6377159
7475159
8561159
9991159
102706156
116287156
08220152
Stop Event
1×iter limit
1×node limit
Counts
18 → 18
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)))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(- (PI) (acos (/ g h)))
(cos (* -1/3 (acos (/ g h))))
(- (acos (* -1 (/ g h))) (PI))
(* -1 g)
(* 1/3 (acos (* -1 (/ g h))))
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))
(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 -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)))
(- (PI) (acos (/ g h)))
(-.f64 (PI.f64) (acos.f64 (/.f64 g h)))
(cos (* -1/3 (acos (/ g h))))
(cos.f64 (*.f64 #s(literal 1/3 binary64) (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)
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))

rewrite271.0ms (4.3%)

Memory
24.7MiB live, 310.0MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044270
069251
1242251
21653251
08786249
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 406
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 (cos.f64 (fma.f64 #s(literal 2/3 binary64) (PI.f64) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))) #s(literal 2 binary64))
(cos.f64 (fma.f64 #s(literal 2/3 binary64) (PI.f64) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(fma.f64 #s(literal 2/3 binary64) (PI.f64) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(PI.f64)
(-.f64 (PI.f64) (acos.f64 (/.f64 g h)))
(cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(neg.f64 g)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
#s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
Outputs
(/.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)))
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(/.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)
(*.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 (/.f64 g h)) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (neg.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 g h)) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (neg.f64 (fma.f64 (acos.f64 (/.f64 g h)) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (-.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 #s(literal 1/3 binary64) (-.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 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 (/.f64 g h)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 g h)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (acos.f64 (/.f64 g h)) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.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 #s(literal 1/3 binary64) (-.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))))
(neg.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
#s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))

eval165.0ms (2.6%)

Memory
-5.8MiB live, 192.3MiB allocated; 17ms collecting garbage
Compiler

Compiled 27 454 to 3 006 computations (89.1% saved)

prune40.0ms (0.6%)

Memory
-12.6MiB live, 32.4MiB allocated; 6ms collecting garbage
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New5713574
Fresh000
Picked314
Done101
Total5754579
Accuracy
100.0%
Counts
579 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.5%
(*.f64 (cos.f64 (fma.f64 #s(literal 2/3 binary64) (PI.f64) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))) #s(literal 2 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 (*.f64 (-.f64 (PI.f64) (+.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 #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 134 to 106 computations (20.9% saved)

simplify127.0ms (2%)

Memory
-15.7MiB live, 125.3MiB allocated; 28ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 12 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
(*.f64 (cos.f64 (*.f64 (-.f64 (PI.f64) (+.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 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
cost-diff1
(*.f64 (-.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))) #s(literal 1/3 binary64))
cost-diff3
(-.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))
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
051366
075356
1115356
2179340
3285332
4451325
5583325
6677325
7877325
8953325
91361325
103332325
116519325
08355318
Stop Event
1×iter limit
1×node limit
1×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 (cos.f64 (*.f64 (-.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(*.f64 (cos.f64 (*.f64 (-.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(cos.f64 (*.f64 (-.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))) #s(literal 1/3 binary64)))
(*.f64 (-.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))) #s(literal 1/3 binary64))
(-.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))
(PI.f64)
(+.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 #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 (cos.f64 (*.f64 (-.f64 (PI.f64) (+.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 (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(*.f64 (cos.f64 (*.f64 (-.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(*.f64 (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(cos.f64 (*.f64 (-.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))) #s(literal 1/3 binary64)))
(cos.f64 (*.f64 (acos.f64 (/.f64 g h)) #s(literal 1/3 binary64)))
(*.f64 (-.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))
(-.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))
(neg.f64 (acos.f64 (/.f64 g h)))
(PI.f64)
(+.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 #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)

localize141.0ms (2.2%)

Memory
45.2MiB live, 132.7MiB allocated; 13ms collecting garbage
Localize:

Found 12 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)))
accuracy0.015625
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
accuracy0.94140625
(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)))))
accuracy0.94921875
(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)))
accuracy0.00390625
(+.f64 (acos.f64 (/.f64 g h)) (PI.f64))
accuracy0.00390625
(cos.f64 (*.f64 (-.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))) #s(literal 1/3 binary64)))
accuracy0.05535126953688403
(-.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))
accuracy0.95703125
(*.f64 (-.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))) #s(literal 1/3 binary64))
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)))
accuracy0.00390625
(cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))))
accuracy0.95703125
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))
Samples
88.0ms256×0valid
Compiler

Compiled 244 to 42 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 17.0ms (24.2% of total)
ival-cos: 12.0ms (17.1% of total)
const: 11.0ms (15.7% of total)
ival-div: 8.0ms (11.4% of total)
ival-sin: 8.0ms (11.4% of total)
ival-add: 4.0ms (5.7% of total)
ival-acos: 4.0ms (5.7% of total)
ival-sub: 4.0ms (5.7% of total)
ival-pi: 1.0ms (1.4% of total)
exact: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series44.0ms (0.7%)

Memory
-23.2MiB live, 31.2MiB allocated; 24ms collecting garbage
Counts
17 → 10
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 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))
(*.f64 (-.f64 (PI.f64) (+.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 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(*.f64 (cos.f64 (*.f64 (-.f64 (PI.f64) (+.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 (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)))
(cos.f64 (*.f64 (-.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))) #s(literal 1/3 binary64)))
(+.f64 (acos.f64 (/.f64 g h)) (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))
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)))
(* -1 (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)))
(+ (PI) (acos (/ g h)))
(- (acos (* -1 (/ g h))) (PI))
Calls

6 calls:

TimeVariablePointExpression
31.0ms
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) (- (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) (* 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))) (cos (* (- (PI) (+ (acos (/ g h)) (PI))) 1/3)) (+ (acos (/ g h)) (PI)) (+ (* (- (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) (- (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) (* 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))) (cos (* (- (PI) (+ (acos (/ g h)) (PI))) 1/3)) (+ (acos (/ g h)) (PI)) (+ (* (- (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) (- (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) (* 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))) (cos (* (- (PI) (+ (acos (/ g h)) (PI))) 1/3)) (+ (acos (/ g h)) (PI)) (+ (* (- (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) (- (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) (* 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))) (cos (* (- (PI) (+ (acos (/ g h)) (PI))) 1/3)) (+ (acos (/ g h)) (PI)) (+ (* (- (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) (- (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) (* 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))) (cos (* (- (PI) (+ (acos (/ g h)) (PI))) 1/3)) (+ (acos (/ g h)) (PI)) (+ (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 1/2 (PI))) (- (acos (/ (neg g) h)) (PI)))

simplify172.0ms (2.7%)

Memory
41.1MiB live, 169.0MiB allocated; 25ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03097
16797
212097
318797
426797
530697
635197
742997
850097
987497
10241895
11567995
12791995
0869992
Stop Event
1×iter limit
1×node limit
Counts
10 → 10
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)))
(* -1 (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)))
(+ (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 #s(literal 1/3 binary64) (acos.f64 (/.f64 g h)))) #s(literal -2 binary64))
(cos (* -1/3 (acos (/ g h))))
(cos.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g h))))
(* -1/3 (acos (/ g h)))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))
(* -1 (acos (/ g h)))
(neg.f64 (acos.f64 (/.f64 g h)))
(* -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)))
(+ (PI) (acos (/ g h)))
(+.f64 (acos.f64 (/.f64 g h)) (PI.f64))
(- (acos (* -1 (/ g h))) (PI))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))

rewrite263.0ms (4.2%)

Memory
-31.5MiB live, 267.3MiB allocated; 57ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051323
075308
1258308
21691308
08882301
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 226
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 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))
(*.f64 (-.f64 (PI.f64) (+.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 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(*.f64 (cos.f64 (*.f64 (-.f64 (PI.f64) (+.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 (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)))
(cos.f64 (*.f64 (-.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))) #s(literal 1/3 binary64)))
(+.f64 (acos.f64 (/.f64 g h)) (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))
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 (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)))
(/.f64 (-.f64 (pow.f64 (-.f64 (PI.f64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 g h)) #s(literal 3 binary64))) (fma.f64 (-.f64 (PI.f64) (PI.f64)) (-.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (acos.f64 (/.f64 g h)) #s(literal 2 binary64)) (*.f64 (-.f64 (PI.f64) (PI.f64)) (acos.f64 (/.f64 g h))))))
(/.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 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 g h)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 g h)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 g h)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 g h)))) (fma.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 g h)))) (/.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 g h)))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 g h)))) (/.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.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 (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 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 g h))) (*.f64 (PI.f64) (PI.f64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 g h))) (*.f64 (PI.f64) (PI.f64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 g h))) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 g h))) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 g h))) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 g h))) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 g h))) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 g h))) (*.f64 (PI.f64) (PI.f64))))))))
(/.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 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))))
(/.f64 (neg.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 (neg.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.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 (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 (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 (neg.f64 (fma.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 g h))) (*.f64 (PI.f64) (PI.f64))))))
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(/.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 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.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 (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)) (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 3 binary64))) (fma.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 g h))) (*.f64 (PI.f64) (PI.f64))))
(fma.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 (/.f64 g h)) #s(literal 2 binary64))) (-.f64 (pow.f64 (acos.f64 (/.f64 g h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64)))) (-.f64 (acos.f64 (/.f64 g h)) (PI.f64)) (neg.f64 (PI.f64)))
(fma.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 (/.f64 g h)) #s(literal 2 binary64))) (+.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 (neg.f64 g) h)) (PI.f64) (pow.f64 (acos.f64 (/.f64 g h)) #s(literal 2 binary64))) (neg.f64 (PI.f64)))
(-.f64 (-.f64 (PI.f64) (PI.f64)) (acos.f64 (/.f64 g h)))
(-.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 (PI.f64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 g h)))) (/.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 g h)))))
(-.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 (PI.f64) #s(literal 3 binary64)) (fma.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 g h))) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 g h))) (*.f64 (PI.f64) (PI.f64)))))
(-.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 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 g h)))) (/.f64 (*.f64 (neg.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))) (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 g h)))))
(+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (neg.f64 (PI.f64)))

eval37.0ms (0.6%)

Memory
22.6MiB live, 110.4MiB allocated; 8ms collecting garbage
Compiler

Compiled 11 829 to 1 323 computations (88.8% saved)

prune18.0ms (0.3%)

Memory
-1.6MiB live, 56.7MiB allocated; 8ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2020202
Fresh000
Picked033
Done011
Total2024206
Accuracy
100.0%
Counts
206 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.5%
(*.f64 (cos.f64 (fma.f64 #s(literal 2/3 binary64) (PI.f64) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))) #s(literal 2 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 (*.f64 (-.f64 (PI.f64) (+.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 #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 447 to 204 computations (54.4% saved)

regimes33.0ms (0.5%)

Memory
-23.9MiB live, 112.3MiB allocated; 8ms collecting garbage
Counts
12 → 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 (PI.f64) (+.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 (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))))))
(*.f64 (cos.f64 (fma.f64 #s(literal 2/3 binary64) (PI.f64) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 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)))
#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)) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))))))
(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
Outputs
#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:

5.0ms
h
5.0ms
(/.f64 (neg.f64 g) h)
4.0ms
(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
4.0ms
g
3.0ms
(neg.f64 g)
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)

regimes26.0ms (0.4%)

Memory
-7.9MiB live, 89.7MiB allocated; 9ms collecting garbage
Accuracy

Total -62.0b remaining (-6456.1%)

Threshold costs -62b (-6456.1%)

Counts
8 → 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 (PI.f64) (+.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 (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))))))
(*.f64 (cos.f64 (fma.f64 #s(literal 2/3 binary64) (PI.f64) #s(approx (/ (acos (/ (neg g) h)) 3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))) #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)))
Calls

9 calls:

5.0ms
(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
4.0ms
(neg.f64 g)
3.0ms
g
3.0ms
h
2.0ms
(/.f64 (neg.f64 g) h)
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)

simplify37.0ms (0.6%)

Memory
20.3MiB live, 66.5MiB allocated; 3ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
04579
17479
212179
321777
441376
559376
680576
7272176
Stop Event
1×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)))

derivations458.0ms (7.3%)

Memory
-26.5MiB live, 475.5MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042270
063257
1222251
21782251
09204244
01544
13544
27044
311344
415244
516344
619244
724944
826644
939144
10107341
11291741
12568441
13738441
0838840
034159
178159
2138159
3216159
4298159
5332159
6377159
7475159
8561159
9991159
102706156
116287156
08220152
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 83 to 46 computations (44.6% saved)

preprocess24.0ms (0.4%)

Memory
3.4MiB live, 50.2MiB allocated; 1ms 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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