2-ancestry mixing, negative discriminant

Time bar (total: 6.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze117.0ms (1.9%)

Memory
-9.5MiB live, 109.0MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
26.7%25%68.7%0.1%0%6.2%0%5
27.6%25%65.6%0.1%0%9.4%0%6
49%37.5%39%0.1%0%23.4%0%7
50.5%37.5%36.7%0.1%0%25.8%0%8
67.9%43.7%20.7%0.1%0%35.5%0%9
69.3%43.7%19.3%0.1%0%36.9%0%10
81.5%46.8%10.6%0.1%0%42.4%0%11
82.5%46.8%9.9%0.1%0%43.2%0%12
Compiler

Compiled 18 to 16 computations (11.1% saved)

sample1.9s (29.9%)

Memory
42.2MiB live, 2 125.7MiB allocated
Samples
1.2s8 256×0valid
125.0ms1 084×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-cos: 400.0ms (36.7% of total)
ival-div: 255.0ms (23.4% of total)
ival-mult: 148.0ms (13.6% of total)
ival-acos: 134.0ms (12.3% of total)
ival-pi: 48.0ms (4.4% of total)
ival-add: 42.0ms (3.8% of total)
ival-neg: 42.0ms (3.8% of total)
exact: 10.0ms (0.9% of total)
ival-true: 8.0ms (0.7% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain172.0ms (2.7%)

Memory
-0.6MiB live, 362.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))
00-0-(acos.f64 (/.f64 (neg.f64 g) h))
00-0-(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
00-0-#s(literal 3 binary64)
00-0-(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))
00-0-(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
00-0-(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
00-0-(neg.f64 g)
00-0-#s(literal 2 binary64)
00-0-g
00-0-(*.f64 #s(literal 2 binary64) (PI.f64))
00-0-h
00-0-(/.f64 (neg.f64 g) h)
00-0-(PI.f64)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
64.0ms512×0valid
Compiler

Compiled 242 to 60 computations (75.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-cos: 14.0ms (30.7% of total)
ival-div: 11.0ms (24.1% of total)
ival-mult: 7.0ms (15.3% of total)
ival-acos: 6.0ms (13.1% of total)
ival-pi: 2.0ms (4.4% of total)
ival-add: 2.0ms (4.4% of total)
ival-neg: 2.0ms (4.4% of total)
exact: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess246.0ms (3.9%)

Memory
-53.4MiB live, 268.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
03066
19866
227766
392066
4285462
5530658
01416
02414
15314
215114
345414
4118614
5225814
6303212
7420612
8509312
9601812
0810212
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 (-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -1/3 binary64))) #s(literal -2 binary64))
Compiler

Compiled 16 to 14 computations (12.5% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.4%
(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize42.0ms (0.7%)

Memory
1.5MiB live, 86.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.953125
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
accuracy0.9765625
(+.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
32.0ms256×0valid
Compiler

Compiled 150 to 30 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-cos: 7.0ms (32.2% of total)
ival-div: 5.0ms (23% of total)
ival-mult: 4.0ms (18.4% of total)
ival-acos: 2.0ms (9.2% of total)
ival-pi: 1.0ms (4.6% of total)
ival-add: 1.0ms (4.6% of total)
ival-neg: 1.0ms (4.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
14.6MiB live, 14.6MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))
(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
(+.f64 (/.f64 (*.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
(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))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
h
@-inf
((/ (* 2 (PI)) 3) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (/ (acos (/ (neg g) h)) 3))
1.0ms
g
@0
((/ (* 2 (PI)) 3) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (/ (acos (/ (neg g) h)) 3))
1.0ms
g
@inf
((/ (* 2 (PI)) 3) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (/ (acos (/ (neg g) h)) 3))
1.0ms
g
@-inf
((/ (* 2 (PI)) 3) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (/ (acos (/ (neg g) h)) 3))
1.0ms
h
@inf
((/ (* 2 (PI)) 3) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (/ (acos (/ (neg g) h)) 3))

simplify195.0ms (3.1%)

Memory
-1.4MiB live, 229.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01330
13930
212730
332130
465130
5100230
6128930
7213130
8344629
9473129
0803328
Stop Event
1×iter limit
1×node limit
Counts
3 → 3
Calls
Call 1
Inputs
(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))))
Outputs
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal -5/6 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 (PI.f64) #s(literal 2/3 binary64)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))

rewrite264.0ms (4.2%)

Memory
-9.4MiB live, 310.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01339
02235
111133
2101433
0882931
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 328
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))
(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
Outputs
(*.f64 (fabs.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 1/3 binary64))
(*.f64 (fabs.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(*.f64 (fabs.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(*.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/3 binary64) (fabs.f64 (*.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) #s(literal -1/3 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64))
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(*.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))
(pow.f64 (/.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64)) #s(literal -1 binary64))
(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/27 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (PI.f64)) #s(literal -3 binary64) (*.f64 #s(literal -3 binary64) (neg.f64 (PI.f64)))) #s(literal 9 binary64))
(/.f64 (fma.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 3 binary64) (PI.f64)) #s(literal -3 binary64)) (*.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (PI.f64))))
(/.f64 (fma.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (PI.f64))) #s(literal -9 binary64))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 3 binary64) (PI.f64)) (neg.f64 (PI.f64)))) (*.f64 (/.f64 #s(literal 3 binary64) (PI.f64)) #s(literal -3 binary64)))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 3 binary64) (PI.f64)) (/.f64 #s(literal 3 binary64) (PI.f64))))
(/.f64 (+.f64 #s(literal 3 binary64) (*.f64 (/.f64 #s(literal 3 binary64) (PI.f64)) (PI.f64))) (*.f64 (/.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 3 binary64)))
(/.f64 (fma.f64 (PI.f64) #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) (neg.f64 (PI.f64)))) #s(literal -9 binary64))
(/.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (PI.f64))))
(/.f64 (fma.f64 (PI.f64) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 9 binary64))
(/.f64 (fabs.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 3 binary64))
(/.f64 (fabs.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64))))
(/.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) (PI.f64)))
(/.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) (PI.f64)))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) #s(literal 3 binary64)))
(fma.f64 (fabs.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 1/3 binary64) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/3 binary64) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64))) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/3 binary64) (fabs.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) #s(literal -1/3 binary64) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (*.f64 (PI.f64) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) (*.f64 (PI.f64) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/3 binary64)) (*.f64 (PI.f64) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64) #s(literal 0 binary64))
(fma.f64 (PI.f64) #s(literal 2/3 binary64) #s(literal 0 binary64))
(fma.f64 (PI.f64) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/3 binary64)) #s(literal 0 binary64))
(sqrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) (/.f64 (PI.f64) #s(literal -3 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) #s(literal 3 binary64)))
(-.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 0 binary64))
(fabs.f64 (/.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) #s(literal 3 binary64)))
(fabs.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64))))
(fabs.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) (*.f64 (PI.f64) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 0 binary64))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
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(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -1 binary64))
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(/.f64 (neg.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
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(-.f64 #s(literal 0 binary64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal -1 binary64)))
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eval54.0ms (0.9%)

Memory
-4.4MiB live, 116.6MiB allocated
Compiler

Compiled 9 434 to 1 582 computations (83.2% saved)

prune12.0ms (0.2%)

Memory
0.4MiB live, 39.4MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3265331
Fresh000
Picked101
Done000
Total3275332
Accuracy
100.0%
Counts
332 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 0 binary64)) (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 1 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 0 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 1 binary64)))))))
▶97.6%
(*.f64 #s(literal 2 binary64) (sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
▶98.5%
(*.f64 #s(literal 2 binary64) (sin.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
▶98.5%
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
▶98.5%
(*.f64 #s(literal 2 binary64) #s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal -5/6 binary64) (PI.f64))))))
Compiler

Compiled 380 to 190 computations (50% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize225.0ms (3.6%)

Memory
-5.5MiB live, 309.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -3 binary64))
accuracy0.01953125
(+.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
accuracy0.0234375
(fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
accuracy0.953125
(sin.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
accuracy0.0
(acos.f64 (/.f64 (neg.f64 g) h))
accuracy0.0
(PI.f64)
accuracy1.0
(fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
accuracy1.5402961432682885
(sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
accuracy0.0
(PI.f64)
accuracy0.01953125
(fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
accuracy0.96484375
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
accuracy0.98046875
(cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
accuracy0.0
(PI.f64)
accuracy0.0
#s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal -5/6 binary64) (PI.f64)))))
accuracy0.015625
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal -5/6 binary64) (PI.f64)))
accuracy0.96875
(sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal -5/6 binary64) (PI.f64))))
accuracy0.98046875
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 0 binary64)) (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 1 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 0 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 1 binary64))))))
accuracy0.98046875
(cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
accuracy0.990566259768442
(sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
accuracy1.0
(*.f64 (PI.f64) #s(literal 2/3 binary64))
Samples
162.0ms256×0valid
Compiler

Compiled 1 777 to 118 computations (93.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 123.0ms
ival-sin: 31.0ms (25.1% of total)
ival-mult: 25.0ms (20.3% of total)
ival-cos: 20.0ms (16.2% of total)
const: 12.0ms (9.7% of total)
ival-add: 11.0ms (8.9% of total)
ival-div: 9.0ms (7.3% of total)
ival-pow: 8.0ms (6.5% of total)
ival-acos: 3.0ms (2.4% of total)
ival-pi: 1.0ms (0.8% of total)
ival-sub: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series27.0ms (0.4%)

Memory
10.9MiB live, 47.7MiB allocated
Counts
18 → 12
Calls
Call 1
Inputs
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
(cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 0 binary64)) (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 1 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 0 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 1 binary64))))))
(sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal -5/6 binary64) (PI.f64))))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal -5/6 binary64) (PI.f64)))
#s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal -5/6 binary64) (PI.f64)))))
(PI.f64)
(cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(acos.f64 (/.f64 (neg.f64 g) h))
(sin.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(+.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -3 binary64))
Outputs
(sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(sin (+ (* -5/6 (PI)) (* 1/3 (acos (* -1 (/ g h))))))
(+ (* -5/6 (PI)) (* 1/3 (acos (* -1 (/ g h)))))
(* 1/3 (acos (* -1 (/ g h))))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(sin (+ (* 1/3 (acos (* -1 (/ g h)))) (+ (* 1/2 (PI)) (* 2/3 (PI)))))
(acos (* -1 (/ g h)))
(sin (+ (* -1/3 (+ (acos (* -1 (/ g h))) (* 2 (PI)))) (* 1/2 (PI))))
(+ (acos (* -1 (/ g h))) (* 2 (PI)))
(+ (* -1/3 (+ (acos (* -1 (/ g h))) (* 2 (PI)))) (* 1/2 (PI)))
(* -1/3 (+ (acos (* -1 (/ g h))) (* 2 (PI))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
h
@inf
((* (PI) 2/3) (sin (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) (cos (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) (/ (+ (pow (* (sin (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 0) 3) (pow (* (cos (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 1) 3)) (+ (* (* (sin (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 0) (* (sin (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 0)) (- (* (* (cos (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 1) (* (cos (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 1)) (* (* (sin (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 0) (* (cos (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 1))))) (sin (+ (* (acos (/ (neg g) h)) 1/3) (* -5/6 (PI)))) (+ (* (acos (/ (neg g) h)) 1/3) (* -5/6 (PI))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (PI) (cos (+ (* (PI) 2/3) (* 1/3 (acos (/ (neg g) h))))) (* 1/3 (acos (/ (neg g) h))) (+ (* (PI) 2/3) (* 1/3 (acos (/ (neg g) h)))) (sin (+ (* 1/3 (acos (/ (neg g) h))) (+ (* (PI) 2/3) (* (PI) 1/2)))) (+ (* (PI) 2/3) (* (PI) 1/2)) (acos (/ (neg g) h)) (sin (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2))) (+ (* (PI) 2) (acos (/ (neg g) h))) (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2)) (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3))
5.0ms
g
@inf
((* (PI) 2/3) (sin (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) (cos (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) (/ (+ (pow (* (sin (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 0) 3) (pow (* (cos (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 1) 3)) (+ (* (* (sin (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 0) (* (sin (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 0)) (- (* (* (cos (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 1) (* (cos (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 1)) (* (* (sin (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 0) (* (cos (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 1))))) (sin (+ (* (acos (/ (neg g) h)) 1/3) (* -5/6 (PI)))) (+ (* (acos (/ (neg g) h)) 1/3) (* -5/6 (PI))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (PI) (cos (+ (* (PI) 2/3) (* 1/3 (acos (/ (neg g) h))))) (* 1/3 (acos (/ (neg g) h))) (+ (* (PI) 2/3) (* 1/3 (acos (/ (neg g) h)))) (sin (+ (* 1/3 (acos (/ (neg g) h))) (+ (* (PI) 2/3) (* (PI) 1/2)))) (+ (* (PI) 2/3) (* (PI) 1/2)) (acos (/ (neg g) h)) (sin (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2))) (+ (* (PI) 2) (acos (/ (neg g) h))) (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2)) (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3))
4.0ms
g
@0
((* (PI) 2/3) (sin (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) (cos (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) (/ (+ (pow (* (sin (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 0) 3) (pow (* (cos (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 1) 3)) (+ (* (* (sin (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 0) (* (sin (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 0)) (- (* (* (cos (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 1) (* (cos (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 1)) (* (* (sin (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 0) (* (cos (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 1))))) (sin (+ (* (acos (/ (neg g) h)) 1/3) (* -5/6 (PI)))) (+ (* (acos (/ (neg g) h)) 1/3) (* -5/6 (PI))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (PI) (cos (+ (* (PI) 2/3) (* 1/3 (acos (/ (neg g) h))))) (* 1/3 (acos (/ (neg g) h))) (+ (* (PI) 2/3) (* 1/3 (acos (/ (neg g) h)))) (sin (+ (* 1/3 (acos (/ (neg g) h))) (+ (* (PI) 2/3) (* (PI) 1/2)))) (+ (* (PI) 2/3) (* (PI) 1/2)) (acos (/ (neg g) h)) (sin (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2))) (+ (* (PI) 2) (acos (/ (neg g) h))) (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2)) (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3))
4.0ms
h
@-inf
((* (PI) 2/3) (sin (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) (cos (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) (/ (+ (pow (* (sin (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 0) 3) (pow (* (cos (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 1) 3)) (+ (* (* (sin (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 0) (* (sin (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 0)) (- (* (* (cos (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 1) (* (cos (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 1)) (* (* (sin (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 0) (* (cos (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 1))))) (sin (+ (* (acos (/ (neg g) h)) 1/3) (* -5/6 (PI)))) (+ (* (acos (/ (neg g) h)) 1/3) (* -5/6 (PI))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (PI) (cos (+ (* (PI) 2/3) (* 1/3 (acos (/ (neg g) h))))) (* 1/3 (acos (/ (neg g) h))) (+ (* (PI) 2/3) (* 1/3 (acos (/ (neg g) h)))) (sin (+ (* 1/3 (acos (/ (neg g) h))) (+ (* (PI) 2/3) (* (PI) 1/2)))) (+ (* (PI) 2/3) (* (PI) 1/2)) (acos (/ (neg g) h)) (sin (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2))) (+ (* (PI) 2) (acos (/ (neg g) h))) (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2)) (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3))
4.0ms
g
@-inf
((* (PI) 2/3) (sin (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) (cos (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) (/ (+ (pow (* (sin (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 0) 3) (pow (* (cos (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 1) 3)) (+ (* (* (sin (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 0) (* (sin (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 0)) (- (* (* (cos (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 1) (* (cos (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 1)) (* (* (sin (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 0) (* (cos (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 2/3))) 1))))) (sin (+ (* (acos (/ (neg g) h)) 1/3) (* -5/6 (PI)))) (+ (* (acos (/ (neg g) h)) 1/3) (* -5/6 (PI))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (PI) (cos (+ (* (PI) 2/3) (* 1/3 (acos (/ (neg g) h))))) (* 1/3 (acos (/ (neg g) h))) (+ (* (PI) 2/3) (* 1/3 (acos (/ (neg g) h)))) (sin (+ (* 1/3 (acos (/ (neg g) h))) (+ (* (PI) 2/3) (* (PI) 1/2)))) (+ (* (PI) 2/3) (* (PI) 1/2)) (acos (/ (neg g) h)) (sin (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2))) (+ (* (PI) 2) (acos (/ (neg g) h))) (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2)) (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3))

simplify210.0ms (3.3%)

Memory
-9.3MiB live, 241.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030129
188129
2319125
3983125
41970125
52763121
64168119
75942119
87248119
08018114
Stop Event
1×iter limit
1×node limit
Counts
12 → 12
Calls
Call 1
Inputs
(sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(sin (+ (* -5/6 (PI)) (* 1/3 (acos (* -1 (/ g h))))))
(+ (* -5/6 (PI)) (* 1/3 (acos (* -1 (/ g h)))))
(* 1/3 (acos (* -1 (/ g h))))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(sin (+ (* 1/3 (acos (* -1 (/ g h)))) (+ (* 1/2 (PI)) (* 2/3 (PI)))))
(acos (* -1 (/ g h)))
(sin (+ (* -1/3 (+ (acos (* -1 (/ g h))) (* 2 (PI)))) (* 1/2 (PI))))
(+ (acos (* -1 (/ g h))) (* 2 (PI)))
(+ (* -1/3 (+ (acos (* -1 (/ g h))) (* 2 (PI)))) (* 1/2 (PI)))
(* -1/3 (+ (acos (* -1 (/ g h))) (* 2 (PI))))
Outputs
(sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(sin.f64 (*.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))))
(sin.f64 (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 11/6 binary64) (PI.f64))))
(sin (+ (* -5/6 (PI)) (* 1/3 (acos (* -1 (/ g h))))))
(sin.f64 (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 11/6 binary64) (PI.f64))))
(+ (* -5/6 (PI)) (* 1/3 (acos (* -1 (/ g h)))))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal -5/6 binary64) (PI.f64)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 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)))
(sin (+ (* 1/3 (acos (* -1 (/ g h)))) (+ (* 1/2 (PI)) (* 2/3 (PI)))))
(sin.f64 (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 11/6 binary64) (PI.f64))))
(acos (* -1 (/ g h)))
(acos.f64 (/.f64 (neg.f64 g) h))
(sin (+ (* -1/3 (+ (acos (* -1 (/ g h))) (* 2 (PI)))) (* 1/2 (PI))))
(sin.f64 (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 11/6 binary64) (PI.f64))))
(+ (acos (* -1 (/ g h))) (* 2 (PI)))
(fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(+ (* -1/3 (+ (acos (* -1 (/ g h))) (* 2 (PI)))) (* 1/2 (PI)))
(fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64)))
(* -1/3 (+ (acos (* -1 (/ g h))) (* 2 (PI))))
(fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -2/3 binary64) (PI.f64)))

rewrite234.0ms (3.7%)

Memory
14.1MiB live, 327.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053287
088171
1504171
24138171
08641170
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 1 567
Calls
Call 1
Inputs
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
(cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 0 binary64)) (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 1 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 0 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 1 binary64))))))
(sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal -5/6 binary64) (PI.f64))))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal -5/6 binary64) (PI.f64)))
#s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal -5/6 binary64) (PI.f64)))))
(PI.f64)
(cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(acos.f64 (/.f64 (neg.f64 g) h))
(sin.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(+.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -3 binary64))
Outputs
(*.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) #s(literal -1/3 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 2/3 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 2/3 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64))))
(/.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) #s(literal -3 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) (PI.f64)))
(/.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 2/3 binary64)))
(neg.f64 (*.f64 (PI.f64) #s(literal -2/3 binary64)))
(fma.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) #s(literal -1/3 binary64) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (*.f64 (PI.f64) #s(literal 1/3 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2/3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) (*.f64 (PI.f64) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 2/3 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/3 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/3 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/3 binary64)) (*.f64 (PI.f64) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (PI.f64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2/3 binary64) (PI.f64) #s(literal 0 binary64))
(fma.f64 (PI.f64) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))
(fma.f64 (PI.f64) #s(literal 2/3 binary64) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) (*.f64 (PI.f64) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)) #s(literal 0 binary64))
(log.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))) #s(literal 1 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(log.f64 (pow.f64 (*.f64 (exp.f64 (PI.f64)) (exp.f64 (PI.f64))) #s(literal 1/3 binary64)))
(log.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 7/6 binary64) (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal 7/6 binary64) (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) (*.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal -2/3 binary64) (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 7/6 binary64) (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 7/6 binary64) (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal 7/6 binary64) (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))) (-.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))) (*.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 7/6 binary64) (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))))))
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(+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (PI.f64) #s(literal -2/3 binary64))) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal -2/3 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal -2/3 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal -2/3 binary64))) #s(literal 2 binary64)))))
(+.f64 (*.f64 (PI.f64) #s(literal -2/3 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (*.f64 (neg.f64 (PI.f64)) #s(literal 1/2 binary64))))
(+.f64 (*.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 1/2 binary64) (PI.f64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal -2/3 binary64))))
(+.f64 (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal -2/3 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 (pow.f64 (/.f64 #s(literal -3 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 (neg.f64 g) h)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -3 binary64) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(*.f64 #s(literal -1/3 binary64) (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 1/3 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -1/3 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal -2/3 binary64))))
(pow.f64 (/.f64 (/.f64 #s(literal -3 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -3 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (+.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 (neg.f64 g) h)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))) #s(literal -1/3 binary64)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal -2/3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64))) (*.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 (*.f64 (PI.f64) #s(literal -2/3 binary64)) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -8/27 binary64) (*.f64 #s(literal -1/27 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (PI.f64) #s(literal -2/3 binary64)) (*.f64 (PI.f64) #s(literal -2/3 binary64)) (-.f64 (*.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 (*.f64 (PI.f64) #s(literal -2/3 binary64)) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))) (fma.f64 #s(literal 2/3 binary64) (PI.f64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 (PI.f64) (PI.f64)))))) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal -2/3 binary64) (PI.f64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)) #s(literal 3 binary64)))) (fma.f64 (*.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) (*.f64 #s(literal -2/3 binary64) (PI.f64))) (*.f64 #s(literal 4/9 binary64) (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)) (fma.f64 #s(literal 2/3 binary64) (PI.f64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))) #s(literal -3 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 6 binary64)))) #s(literal 9 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -3 binary64) (*.f64 #s(literal -3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 9 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 2/3 binary64) (PI.f64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 (PI.f64) (PI.f64))))) (neg.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal -2/3 binary64) (PI.f64)))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) (*.f64 (+.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 (neg.f64 g) h)))) #s(literal -3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -3 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.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) (*.f64 #s(literal -2/3 binary64) (PI.f64))) (*.f64 #s(literal 4/9 binary64) (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)) #s(literal 3 binary64))) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)) (fma.f64 #s(literal 2/3 binary64) (PI.f64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))) (*.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -3 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 3 binary64))
(/.f64 (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 6 binary64))) #s(literal -9 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -3 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(neg.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(fma.f64 (neg.f64 (PI.f64)) #s(literal 2/3 binary64) (neg.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal -2/3 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/3 binary64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(fma.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -3 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) (*.f64 (PI.f64) #s(literal -2/3 binary64)))
(fma.f64 #s(literal 2/3 binary64) (neg.f64 (PI.f64)) (neg.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))))
(fma.f64 (PI.f64) #s(literal -2/3 binary64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(-.f64 #s(literal 0 binary64) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -3 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (*.f64 (neg.f64 (PI.f64)) #s(literal 2/3 binary64)))
(+.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 2/3 binary64)) (neg.f64 (*.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 (PI.f64) #s(literal -2/3 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal -2/3 binary64)) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))

eval701.0ms (11.1%)

Memory
47.9MiB live, 1 140.2MiB allocated
Compiler

Compiled 297 878 to 14 960 computations (95% saved)

prune47.0ms (0.7%)

Memory
-9.1MiB live, 188.9MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2 99833 001
Fresh000
Picked415
Done000
Total3 00243 006
Accuracy
100.0%
Counts
3 006 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.6%
(*.f64 #s(literal 2 binary64) (sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 7/6 binary64)))))
▶100.0%
(*.f64 #s(literal 2 binary64) (sin.f64 #s(approx (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2)) (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64))))))
✓98.5%
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
▶98.5%
(*.f64 #s(literal 2 binary64) #s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (PI.f64) #s(literal -5/6 binary64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))))))
Compiler

Compiled 83 to 77 computations (7.2% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize136.0ms (2.1%)

Memory
-15.9MiB live, 157.0MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 g)
accuracy0.0
(acos.f64 (/.f64 (neg.f64 g) h))
accuracy0.0
(PI.f64)
accuracy1.5402961432682885
(sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 7/6 binary64))))
accuracy0.0
#s(approx (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2)) (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64))))
accuracy0.01171875
(fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64)))
accuracy0.953125
(sin.f64 #s(approx (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2)) (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64)))))
accuracy1.0
(*.f64 #s(literal -1/6 binary64) (PI.f64))
accuracy0.0
#s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (PI.f64) #s(literal -5/6 binary64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))))
accuracy0.953125
(fma.f64 (PI.f64) #s(literal -5/6 binary64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))
accuracy0.96484375
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))
accuracy0.96875
(sin.f64 (fma.f64 (PI.f64) #s(literal -5/6 binary64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))))
Samples
113.0ms256×0valid
Compiler

Compiled 481 to 86 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-sin: 28.0ms (32.5% of total)
ival-mult: 18.0ms (20.9% of total)
const: 15.0ms (17.4% of total)
ival-cos: 7.0ms (8.1% of total)
ival-div: 6.0ms (7% of total)
ival-add: 6.0ms (7% of total)
ival-acos: 2.0ms (2.3% of total)
ival-pi: 1.0ms (1.2% of total)
exact: 1.0ms (1.2% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series27.0ms (0.4%)

Memory
-11.1MiB live, 25.6MiB allocated
Counts
12 → 10
Calls
Call 1
Inputs
(sin.f64 (fma.f64 (PI.f64) #s(literal -5/6 binary64) (*.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))
(fma.f64 (PI.f64) #s(literal -5/6 binary64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))
#s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (PI.f64) #s(literal -5/6 binary64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))))
(*.f64 #s(literal -1/6 binary64) (PI.f64))
(sin.f64 #s(approx (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2)) (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64)))))
(fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64)))
#s(approx (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2)) (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64))))
(sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 7/6 binary64))))
(PI.f64)
(acos.f64 (/.f64 (neg.f64 g) h))
(neg.f64 g)
Outputs
(sin (+ (* -5/6 (PI)) (* 1/3 (acos (* -1 (/ g h))))))
(* 1/3 (acos (* -1 (/ g h))))
(+ (* -5/6 (PI)) (* 1/3 (acos (* -1 (/ g h)))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(sin (+ (* -1/3 (+ (acos (* -1 (/ g h))) (* 2 (PI)))) (* 1/2 (PI))))
(+ (* -1/3 (acos (* -1 (/ g h)))) (* -1/6 (PI)))
(+ (* -1/3 (+ (acos (* -1 (/ g h))) (* 2 (PI)))) (* 1/2 (PI)))
(sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 7/6 (PI))))
(acos (* -1 (/ g h)))
(* -1 g)
Calls

6 calls:

TimeVariablePointExpression
9.0ms
h
@0
((sin (+ (* (PI) -5/6) (* (acos (/ (neg g) h)) 1/3))) (* (acos (/ (neg g) h)) 1/3) (+ (* (PI) -5/6) (* (acos (/ (neg g) h)) 1/3)) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (* -1/6 (PI)) (sin (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2))) (+ (* -1/3 (acos (/ (neg g) h))) (* -1/6 (PI))) (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2)) (sin (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 7/6))) (PI) (acos (/ (neg g) h)) (neg g))
6.0ms
g
@inf
((sin (+ (* (PI) -5/6) (* (acos (/ (neg g) h)) 1/3))) (* (acos (/ (neg g) h)) 1/3) (+ (* (PI) -5/6) (* (acos (/ (neg g) h)) 1/3)) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (* -1/6 (PI)) (sin (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2))) (+ (* -1/3 (acos (/ (neg g) h))) (* -1/6 (PI))) (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2)) (sin (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 7/6))) (PI) (acos (/ (neg g) h)) (neg g))
3.0ms
g
@0
((sin (+ (* (PI) -5/6) (* (acos (/ (neg g) h)) 1/3))) (* (acos (/ (neg g) h)) 1/3) (+ (* (PI) -5/6) (* (acos (/ (neg g) h)) 1/3)) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (* -1/6 (PI)) (sin (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2))) (+ (* -1/3 (acos (/ (neg g) h))) (* -1/6 (PI))) (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2)) (sin (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 7/6))) (PI) (acos (/ (neg g) h)) (neg g))
3.0ms
h
@inf
((sin (+ (* (PI) -5/6) (* (acos (/ (neg g) h)) 1/3))) (* (acos (/ (neg g) h)) 1/3) (+ (* (PI) -5/6) (* (acos (/ (neg g) h)) 1/3)) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (* -1/6 (PI)) (sin (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2))) (+ (* -1/3 (acos (/ (neg g) h))) (* -1/6 (PI))) (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2)) (sin (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 7/6))) (PI) (acos (/ (neg g) h)) (neg g))
3.0ms
g
@-inf
((sin (+ (* (PI) -5/6) (* (acos (/ (neg g) h)) 1/3))) (* (acos (/ (neg g) h)) 1/3) (+ (* (PI) -5/6) (* (acos (/ (neg g) h)) 1/3)) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (* -1/6 (PI)) (sin (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2))) (+ (* -1/3 (acos (/ (neg g) h))) (* -1/6 (PI))) (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2)) (sin (+ (* 1/3 (acos (/ (neg g) h))) (* (PI) 7/6))) (PI) (acos (/ (neg g) h)) (neg g))

simplify195.0ms (3.1%)

Memory
3.7MiB live, 154.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035103
198103
236195
3103095
4192495
5281391
6388691
7473891
8599291
0814288
Stop Event
1×iter limit
1×node limit
Counts
10 → 10
Calls
Call 1
Inputs
(sin (+ (* -5/6 (PI)) (* 1/3 (acos (* -1 (/ g h))))))
(* 1/3 (acos (* -1 (/ g h))))
(+ (* -5/6 (PI)) (* 1/3 (acos (* -1 (/ g h)))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(sin (+ (* -1/3 (+ (acos (* -1 (/ g h))) (* 2 (PI)))) (* 1/2 (PI))))
(+ (* -1/3 (acos (* -1 (/ g h)))) (* -1/6 (PI)))
(+ (* -1/3 (+ (acos (* -1 (/ g h))) (* 2 (PI)))) (* 1/2 (PI)))
(sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 7/6 (PI))))
(acos (* -1 (/ g h)))
(* -1 g)
Outputs
(sin (+ (* -5/6 (PI)) (* 1/3 (acos (* -1 (/ g h))))))
(sin.f64 (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64))))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))
(+ (* -5/6 (PI)) (* 1/3 (acos (* -1 (/ g h)))))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal -5/6 binary64) (PI.f64)))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(sin.f64 (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64))))
(sin (+ (* -1/3 (+ (acos (* -1 (/ g h))) (* 2 (PI)))) (* 1/2 (PI))))
(sin.f64 (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64))))
(+ (* -1/3 (acos (* -1 (/ g h)))) (* -1/6 (PI)))
(fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64)))
(+ (* -1/3 (+ (acos (* -1 (/ g h))) (* 2 (PI)))) (* 1/2 (PI)))
(fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64)))
(sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 7/6 (PI))))
(sin.f64 (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64))))
(acos (* -1 (/ g h)))
(acos.f64 (/.f64 (neg.f64 g) h))
(* -1 g)
(neg.f64 g)

rewrite259.0ms (4.1%)

Memory
9.8MiB live, 256.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040139
059137
1270137
22289137
08639132
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 454
Calls
Call 1
Inputs
(sin.f64 (fma.f64 (PI.f64) #s(literal -5/6 binary64) (*.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))
(fma.f64 (PI.f64) #s(literal -5/6 binary64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))
#s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (PI.f64) #s(literal -5/6 binary64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))))
(*.f64 #s(literal -1/6 binary64) (PI.f64))
(sin.f64 #s(approx (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2)) (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64)))))
(fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64)))
#s(approx (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2)) (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64))))
(sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 7/6 binary64))))
(PI.f64)
(acos.f64 (/.f64 (neg.f64 g) h))
(neg.f64 g)
Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (cos.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64)))) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (fma.f64 #s(literal -5/6 binary64) (PI.f64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (cos.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (cos.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (cos.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64)))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (cos.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64)))) #s(literal 2 binary64))) (sin.f64 (fma.f64 #s(literal -5/6 binary64) (PI.f64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (cos.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (cos.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (cos.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64))))))))
(fma.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64)) #s(literal 3 binary64)) (fma.f64 #s(literal 25/36 binary64) (*.f64 (PI.f64) (PI.f64)) (*.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 -5/6 binary64) (PI.f64))))))) (cos.f64 (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))) (fma.f64 #s(literal 25/36 binary64) (*.f64 (PI.f64) (PI.f64)) (*.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 -5/6 binary64) (PI.f64))))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64)) #s(literal 3 binary64)) (fma.f64 #s(literal 25/36 binary64) (*.f64 (PI.f64) (PI.f64)) (*.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 -5/6 binary64) (PI.f64))))))) (sin.f64 (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))) (fma.f64 #s(literal 25/36 binary64) (*.f64 (PI.f64) (PI.f64)) (*.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 -5/6 binary64) (PI.f64)))))))))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (cos.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64)))))
(fma.f64 (cos.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64)))))
(fma.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64))) (sin.f64 (neg.f64 (*.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 1/3 binary64))))))
(fma.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (cos.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64)))))
(fma.f64 (sin.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64))) (cos.f64 (*.f64 (neg.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 1/3 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64))) (sin.f64 (*.f64 (neg.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 1/3 binary64)))))
(fma.f64 (sin.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 (cos.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64))) (sin.f64 (neg.f64 (*.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 1/3 binary64))))))
(fma.f64 (sin.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64))) (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (cos.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64)))))
(sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -5/6 binary64) (PI.f64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64)))) #s(literal 2 binary64)) (sin.f64 (fma.f64 #s(literal -5/6 binary64) (PI.f64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (cos.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64)))) #s(literal 2 binary64)) (sin.f64 (fma.f64 #s(literal -5/6 binary64) (PI.f64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))))
(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 #s(literal 25/36 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal -5/6 binary64) (PI.f64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))) (cos.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) (fma.f64 #s(literal -5/6 binary64) (PI.f64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))) (*.f64 (cos.f64 (/.f64 (*.f64 #s(literal 25/36 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal -5/6 binary64) (PI.f64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))) (sin.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) (fma.f64 #s(literal -5/6 binary64) (PI.f64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))))
(-.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (cos.f64 (*.f64 #s(literal 5/6 binary64) (PI.f64)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal 5/6 binary64) (PI.f64)))))
(-.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (cos.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal -5/6 binary64)))))
(-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64)))) (*.f64 (cos.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
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(-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64)))) (*.f64 (cos.f64 (*.f64 #s(literal -5/6 binary64) (PI.f64))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))))
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(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
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(*.f64 g #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 g g))) (neg.f64 (+.f64 #s(literal 0 binary64) g)))
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(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 g g (*.f64 #s(literal 0 binary64) g)))) (/.f64 (pow.f64 g #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 g g (*.f64 #s(literal 0 binary64) g)))))
(-.f64 #s(literal 0 binary64) g)
(+.f64 #s(literal 0 binary64) (neg.f64 g))

eval150.0ms (2.4%)

Memory
-2.7MiB live, 156.9MiB allocated
Compiler

Compiled 34 188 to 4 860 computations (85.8% saved)

prune23.0ms (0.4%)

Memory
18.8MiB live, 57.0MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New9830983
Fresh000
Picked033
Done011
Total9834987
Accuracy
100.0%
Counts
987 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓97.6%
(*.f64 #s(literal 2 binary64) (sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 7/6 binary64)))))
✓100.0%
(*.f64 #s(literal 2 binary64) (sin.f64 #s(approx (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2)) (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64))))))
✓98.5%
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
✓98.5%
(*.f64 #s(literal 2 binary64) #s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (PI.f64) #s(literal -5/6 binary64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))))))
Compiler

Compiled 359 to 167 computations (53.5% saved)

regimes26.0ms (0.4%)

Memory
-4.6MiB live, 33.5MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) #s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (PI.f64) #s(literal -5/6 binary64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))))))
(*.f64 #s(literal 2 binary64) #s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal -5/6 binary64) (PI.f64))))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(*.f64 #s(literal 2 binary64) (sin.f64 #s(approx (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2)) (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64))))))
(*.f64 #s(literal 2 binary64) (sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 7/6 binary64)))))
(*.f64 #s(literal 2 binary64) (sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (sin.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -3 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 0 binary64)) (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 1 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 0 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 1 binary64)))))))
Outputs
(*.f64 #s(literal 2 binary64) (sin.f64 #s(approx (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2)) (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64))))))
Calls

9 calls:

5.0ms
(/.f64 (neg.f64 g) h)
3.0ms
(neg.f64 g)
3.0ms
g
3.0ms
h
2.0ms
(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
Results
AccuracySegmentsBranch
100.0%1g
100.0%1h
100.0%1(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
100.0%1(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
100.0%1(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))
100.0%1(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
100.0%1(acos.f64 (/.f64 (neg.f64 g) h))
100.0%1(/.f64 (neg.f64 g) h)
100.0%1(neg.f64 g)
Compiler

Compiled 63 to 62 computations (1.6% saved)

regimes17.0ms (0.3%)

Memory
-26.5MiB live, 21.7MiB allocated
Accuracy

Total -0.0b remaining (-3.8%)

Threshold costs -0b (-3.8%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) #s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (PI.f64) #s(literal -5/6 binary64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))))))
(*.f64 #s(literal 2 binary64) #s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal -5/6 binary64) (PI.f64))))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))))
Outputs
(*.f64 #s(literal 2 binary64) #s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (PI.f64) #s(literal -5/6 binary64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))))))
Calls

9 calls:

6.0ms
(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))))
2.0ms
h
1.0ms
(neg.f64 g)
1.0ms
g
1.0ms
(/.f64 (neg.f64 g) h)
Results
AccuracySegmentsBranch
98.5%1g
98.5%1h
98.5%1(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
98.5%1(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
98.5%1(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))
98.5%1(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
98.5%1(acos.f64 (/.f64 (neg.f64 g) h))
98.5%1(/.f64 (neg.f64 g) h)
98.5%1(neg.f64 g)
Compiler

Compiled 63 to 62 computations (1.6% saved)

simplify31.0ms (0.5%)

Memory
6.0MiB live, 44.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03857
14857
25457
36457
48657
511457
615657
718457
819057
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sin.f64 #s(approx (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2)) (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64))))))
(*.f64 #s(literal 2 binary64) #s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (PI.f64) #s(literal -5/6 binary64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))))))
Outputs
(*.f64 #s(literal 2 binary64) (sin.f64 #s(approx (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2)) (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64))))))
(*.f64 (sin.f64 #s(approx (+ (/ (+ (* (PI) 2) (acos (/ (neg g) h))) -3) (* (PI) 1/2)) (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal -1/6 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (PI.f64) #s(literal -5/6 binary64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))))))
(*.f64 #s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (PI.f64) #s(literal -5/6 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))) #s(literal 2 binary64))

soundness995.0ms (15.7%)

Memory
-4.2MiB live, 276.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030129
188129
2319125
3983125
41970125
52763121
64168119
75942119
87248119
08018114
053287
088171
1504171
24138171
08641170
01330
13930
212730
332130
465130
5100230
6128930
7213130
8344629
9473129
0803328
01339
02235
111133
2101433
0882931
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 114 to 91 computations (20.2% saved)

preprocess21.0ms (0.3%)

Memory
13.8MiB live, 13.8MiB allocated
Compiler

Compiled 146 to 106 computations (27.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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