2-ancestry mixing, negative discriminant

Time bar (total: 3.3s)

analyze118.0ms (3.6%)

Memory
-20.9MiB live, 143.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
26.7%25%68.7%0.1%0%6.2%0%5
27.6%25%65.6%0.1%0%9.4%0%6
49%37.5%39%0.1%0%23.4%0%7
50.5%37.5%36.7%0.1%0%25.8%0%8
67.9%43.7%20.7%0.1%0%35.5%0%9
69.3%43.7%19.3%0.1%0%36.9%0%10
81.5%46.8%10.6%0.1%0%42.4%0%11
82.5%46.8%9.9%0.1%0%43.2%0%12
Compiler

Compiled 18 to 16 computations (11.1% saved)

sample2.0s (60.6%)

Memory
-33.8MiB live, 2 493.0MiB allocated
Samples
1.1s8 256×0valid
390.0ms1 133×0invalid
Precisions
Click to see histograms. Total time spent on operations: 991.0ms
ival-cos: 339.0ms (34.2% of total)
ival-div: 231.0ms (23.3% of total)
ival-mult: 128.0ms (12.9% of total)
ival-acos: 82.0ms (8.3% of total)
ival-add: 68.0ms (6.9% of total)
ival-pi: 65.0ms (6.6% of total)
ival-neg: 57.0ms (5.8% of total)
exact: 10.0ms (1% of total)
ival-true: 8.0ms (0.8% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

preprocess27.0ms (0.8%)

Memory
-1.8MiB live, 37.1MiB allocated
Algorithm
egg-herbie
Rules
120×times-frac
70×associate-/r*
64×unsub-neg
54×associate-*l*
48×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03076
16666
212866
326166
449066
553366
655066
758266
860766
01416
02416
13514
24714
35714
46514
57514
69114
79914
810214
010213
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
Outputs
(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 3 binary64)))))

explain164.0ms (5%)

Memory
-11.6MiB live, 347.7MiB 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
62.0ms512×0valid
Compiler

Compiled 188 to 60 computations (68.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-cos: 13.0ms (30.8% of total)
ival-div: 11.0ms (26.1% of total)
ival-mult: 6.0ms (14.2% of total)
ival-acos: 4.0ms (9.5% of total)
ival-pi: 2.0ms (4.7% of total)
ival-add: 2.0ms (4.7% of total)
ival-neg: 2.0ms (4.7% of total)
exact: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify7.0ms (0.2%)

Memory
14.2MiB live, 14.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
cost-diff0
(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
cost-diff128
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))
cost-diff704
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))
Rules
32×lower-*.f32
32×lower-+.f32
30×lower-+.f64
28×lower-*.f64
24×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

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

localize48.0ms (1.5%)

Memory
0.1MiB live, 79.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy98.5%
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
accuracy98.5%
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))
accuracy98.4%
(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
accuracy98.4%
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))
Samples
31.0ms256×0valid
Compiler

Compiled 76 to 16 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-cos: 7.0ms (34.3% of total)
ival-div: 5.0ms (24.5% of total)
ival-mult: 3.0ms (14.7% of total)
ival-acos: 2.0ms (9.8% of total)
ival-pi: 1.0ms (4.9% of total)
ival-add: 1.0ms (4.9% of total)
ival-neg: 1.0ms (4.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory
10.3MiB live, 10.3MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))>
#<alt (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))))>
#<alt (+.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)))>
#<alt (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))>
Outputs
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
#<alt (* 1/3 (acos (* -1 (/ g h))))>
Calls

18 calls:

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

rewrite377.0ms (11.5%)

Memory
-22.3MiB live, 328.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 764×lower-fma.f64
7 764×lower-fma.f32
5 856×lower-*.f32
5 854×lower-*.f64
2 670×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01339
02239
19633
274033
0848331
Stop Event
iter limit
node limit
iter limit
Counts
4 → 247
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
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -2/3 binary64)))
(neg.f64 (*.f64 (PI.f64) #s(literal -2/3 binary64)))
(neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -2/3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) (PI.f64)))
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) (PI.f64)))
(/.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) #s(literal -3 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/2 binary64) (PI.f64)))
(pow.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/3 binary64))
(*.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2/3 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal -2/3 binary64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(*.f64 (neg.f64 (PI.f64)) #s(literal -2/3 binary64))
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(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))))
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(*.f64 #s(literal -1 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal -1/2 binary64)))

simplify10.0ms (0.3%)

Memory
13.3MiB live, 13.4MiB allocated
Algorithm
egg-herbie
Rules
32×lower-+.f64
32×lower-+.f32
24×lower-*.f64
24×lower-fma.f64
24×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013720
120720
227720
333720
443720
549720
657720
771720
882720
985720
1086720
086672
Stop Event
iter limit
saturated
Counts
72 → 72
Calls
Call 1
Inputs
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(* 1/3 (acos (* -1 (/ g h))))
(* 1/3 (acos (* -1 (/ g h))))
(* 1/3 (acos (* -1 (/ g h))))
(* 1/3 (acos (* -1 (/ g h))))
(* 1/3 (acos (* -1 (/ g h))))
(* 1/3 (acos (* -1 (/ g h))))
(* 1/3 (acos (* -1 (/ g h))))
(* 1/3 (acos (* -1 (/ g h))))
(* 1/3 (acos (* -1 (/ g h))))
(* 1/3 (acos (* -1 (/ g h))))
(* 1/3 (acos (* -1 (/ g h))))
(* 1/3 (acos (* -1 (/ g h))))
(* 1/3 (acos (* -1 (/ g h))))
(* 1/3 (acos (* -1 (/ g h))))
(* 1/3 (acos (* -1 (/ g h))))
(* 1/3 (acos (* -1 (/ g h))))
(* 1/3 (acos (* -1 (/ g h))))
(* 1/3 (acos (* -1 (/ g h))))
(* 1/3 (acos (* -1 (/ g h))))
(* 1/3 (acos (* -1 (/ g h))))
(* 1/3 (acos (* -1 (/ g h))))
(* 1/3 (acos (* -1 (/ g h))))
(* 1/3 (acos (* -1 (/ g h))))
(* 1/3 (acos (* -1 (/ g h))))
Outputs
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))

simplify53.0ms (1.6%)

Memory
-9.4MiB live, 65.4MiB allocated
Algorithm
egg-herbie
Rules
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06045819
16055819
06055819
Stop Event
saturated
saturated
Counts
247 → 0
Calls
Call 1
Inputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -2/3 binary64)))
(neg.f64 (*.f64 (PI.f64) #s(literal -2/3 binary64)))
(neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -2/3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) (PI.f64)))
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) (PI.f64)))
(/.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) #s(literal -3 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/2 binary64) (PI.f64)))
(pow.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/3 binary64))
(*.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2/3 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64)) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))))) (neg.f64 (/.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) (*.f64 (PI.f64) #s(literal -2 binary64))))) (neg.f64 (*.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal -3 binary64))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (acos.f64 (/.f64 g (neg.f64 h)))) (/.f64 #s(literal 3/2 binary64) (PI.f64)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal -3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal -3 binary64) (*.f64 (PI.f64) #s(literal 6 binary64)))) #s(literal -9 binary64))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 3 binary64)) #s(literal 1/27 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8/27 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64) (*.f64 (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2 binary64)) #s(literal -1/9 binary64))))) (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2 binary64)) #s(literal 1/9 binary64) (neg.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64))))) (neg.f64 (fma.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal -2/3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64)) (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64)) (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64)))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64)) (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64)))) (/.f64 (pow.f64 (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64)) (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64)))) (/.f64 (pow.f64 (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64)) (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64)))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64)) (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64)))) (/.f64 (pow.f64 (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64)))))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64)) (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64)))) (/.f64 (pow.f64 (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal -1 binary64))
(*.f64 (fma.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
(*.f64 (fma.f64 #s(literal 3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) #s(literal 6 binary64))) #s(literal 1/9 binary64))
(*.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 3 binary64)) #s(literal 1/27 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/9 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64)))))
(*.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 3 binary64)) #s(literal 1/27 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2 binary64)) #s(literal 1/9 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64)))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64))) (*.f64 (fma.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/9 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64))))))
(*.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))
(*.f64 #s(literal 1/3 binary64) (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 #s(literal 2 binary64) (PI.f64))))
(*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64) (*.f64 (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2 binary64)) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64)))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64)))))
(*.f64 (fma.f64 #s(literal -3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) #s(literal -6 binary64))) #s(literal -1/9 binary64))
(*.f64 (+.f64 #s(literal 3 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h))))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64)) #s(literal 3 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) (/.f64 #s(literal 3/2 binary64) (PI.f64))) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
(*.f64 (+.f64 #s(literal -3 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64)) #s(literal -3 binary64))))
(*.f64 (fma.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64)))))
(*.f64 (fma.f64 (acos.f64 (/.f64 g (neg.f64 h))) (/.f64 #s(literal 3/2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (fma.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -3 binary64) (*.f64 (PI.f64) #s(literal -6 binary64))) #s(literal -1/9 binary64))
(*.f64 (+.f64 #s(literal 3 binary64) (*.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) (*.f64 #s(literal 2 binary64) (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal 3 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64)) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 g (neg.f64 h))))) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
(*.f64 (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) (*.f64 (PI.f64) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal -3 binary64))))
(*.f64 (fma.f64 (neg.f64 (acos.f64 (/.f64 g (neg.f64 h)))) (/.f64 #s(literal 3/2 binary64) (PI.f64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (fma.f64 (neg.f64 (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal -3 binary64) (*.f64 (PI.f64) #s(literal 6 binary64))) #s(literal 1/9 binary64))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 3 binary64)) #s(literal 1/27 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8/27 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64) (*.f64 (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2 binary64)) #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal -2/3 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64)))))
(*.f64 #s(literal -1/3 binary64) (fma.f64 (PI.f64) #s(literal -2 binary64) (neg.f64 (acos.f64 (/.f64 g (neg.f64 h))))))
(*.f64 #s(literal -1/3 binary64) (+.f64 (neg.f64 (acos.f64 (/.f64 g (neg.f64 h)))) (*.f64 (PI.f64) #s(literal -2 binary64))))
(*.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2 binary64)) #s(literal 1/9 binary64) (neg.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal -2/3 binary64)))))
(*.f64 (/.f64 (fma.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (/.f64 (fma.f64 (PI.f64) #s(literal 2/3 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h))))))
(+.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (neg.f64 (*.f64 (asin.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64))))
(+.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (asin.f64 (/.f64 g h)) #s(literal 1/3 binary64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 g h))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 g (neg.f64 h))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) (/.f64 (acos.f64 (/.f64 g h)) #s(literal 3 binary64)))
(-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (asin.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (neg.f64 (*.f64 (asin.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64))))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (asin.f64 (/.f64 g h)) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 g h))))
(neg.f64 (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64)))
(neg.f64 (*.f64 (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(/.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))))
(/.f64 (neg.f64 (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal -3 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (asin.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64)) (*.f64 (asin.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (asin.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64)) (*.f64 (asin.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64)))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (asin.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64))))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal -1 binary64))
(*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64))
(*.f64 (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64)))
(*.f64 (neg.f64 (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal -1/2 binary64)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -2/3 binary64)))
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(/.f64 (neg.f64 (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal -3 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (asin.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64)) (*.f64 (asin.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (asin.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64)) (*.f64 (asin.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64)))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (asin.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64))))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal -1 binary64))
(*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64))
(*.f64 (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/3 binary64)))
(*.f64 (neg.f64 (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal -1/2 binary64)))

eval13.0ms (0.4%)

Memory
25.1MiB live, 25.1MiB allocated
Compiler

Compiled 2 018 to 20 computations (99% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1431144
Fresh000
Picked101
Done000
Total1441145
Accuracy
98.4%
Counts
145 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify7.0ms (0.2%)

Memory
8.6MiB live, 8.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(acos.f64 (/.f64 (neg.f64 g) h))
cost-diff0
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
cost-diff0
(cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64))))
cost-diff0
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
Rules
32×lower-+.f64
32×lower-+.f32
28×lower-*.f32
24×lower-*.f64
24×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01354
02254
13254
24054
34954
45754
56754
68354
79154
89454
09454
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
#s(literal 2 binary64)
(cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
#s(literal 1/3 binary64)
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
(*.f64 #s(literal 2/3 binary64) (PI.f64))
#s(literal 2/3 binary64)
(PI.f64)
Outputs
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
#s(literal 2 binary64)
(cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
#s(literal 1/3 binary64)
(acos.f64 (/.f64 (neg.f64 g) h))
(acos.f64 (neg.f64 (/.f64 g h)))
(/.f64 (neg.f64 g) h)
(neg.f64 (/.f64 g h))
(neg.f64 g)
g
h
(*.f64 #s(literal 2/3 binary64) (PI.f64))
#s(literal 2/3 binary64)
(PI.f64)

localize57.0ms (1.7%)

Memory
-24.6MiB live, 57.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(PI.f64)
accuracy100.0%
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
accuracy98.4%
(cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64))))
accuracy98.4%
(*.f64 #s(literal 2/3 binary64) (PI.f64))
Samples
42.0ms256×0valid
Compiler

Compiled 59 to 16 computations (72.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-cos: 11.0ms (33.4% of total)
const: 10.0ms (30.3% of total)
ival-mult: 4.0ms (12.1% of total)
ival-div: 2.0ms (6.1% of total)
ival-acos: 2.0ms (6.1% of total)
ival-pi: 1.0ms (3% of total)
ival-add: 1.0ms (3% of total)
ival-neg: 1.0ms (3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 2/3 binary64) (PI.f64))>
#<alt (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64))))>
#<alt (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))>
#<alt (PI.f64)>
Outputs
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
#<alt (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))>
Calls

12 calls:

TimeVariablePointExpression
0.0ms
g
@0
(cos (+ (* 1/3 (acos (/ (neg g) h))) (* 2/3 (PI))))
0.0ms
g
@inf
(cos (+ (* 1/3 (acos (/ (neg g) h))) (* 2/3 (PI))))
0.0ms
g
@-inf
(cos (+ (* 1/3 (acos (/ (neg g) h))) (* 2/3 (PI))))
0.0ms
h
@-inf
(cos (+ (* 1/3 (acos (/ (neg g) h))) (* 2/3 (PI))))
0.0ms
h
@inf
(cos (+ (* 1/3 (acos (/ (neg g) h))) (* 2/3 (PI))))

rewrite287.0ms (8.7%)

Memory
-19.3MiB live, 330.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 770×lower-fma.f32
6 768×lower-fma.f64
4 290×lower-*.f32
4 288×lower-*.f64
1 814×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01125
01925
17425
244025
3416125
0817125
Stop Event
iter limit
node limit
iter limit
Counts
4 → 218
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) (PI.f64))
(cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(PI.f64)
Outputs
(exp.f64 (log.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))) #s(literal 1 binary64)))
(pow.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))
(*.f64 (PI.f64) (exp.f64 (log.f64 #s(literal 2/3 binary64))))
(*.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 2/3 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 2/3 binary64) (cbrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 2/3 binary64) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (exp.f64 (log.f64 (*.f64 #s(literal 2/3 binary64) (cbrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (log.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 2/3 binary64) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal 2/9 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (exp.f64 (log.f64 #s(literal 2/3 binary64))) (PI.f64))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (PI.f64)))
(*.f64 (exp.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64)) (log.f64 #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))))) (cos.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))))) (sin.f64 (*.f64 (PI.f64) #s(literal -2/3 binary64)))))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))))) (sin.f64 (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))))) (cos.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(+.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) #s(literal -2/3 binary64))))) (cos.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))))) (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) #s(literal -2/3 binary64))))) (sin.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))))))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64)) (fma.f64 #s(literal 2/3 binary64) (PI.f64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64))))) (cos.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal 2 binary64)) (fma.f64 #s(literal 2/3 binary64) (PI.f64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64)))))) (*.f64 (sin.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64)) (fma.f64 #s(literal 2/3 binary64) (PI.f64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64))))) (sin.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal 2 binary64)) (fma.f64 #s(literal 2/3 binary64) (PI.f64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64)))))))
(cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(cos.f64 (/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8/27 binary64)))) (neg.f64 (fma.f64 (acos.f64 (/.f64 g (neg.f64 h))) (-.f64 (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/9 binary64)) (*.f64 #s(literal 2/9 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64))))))
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(/.f64 (*.f64 (fma.f64 #s(literal 1/81 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 4 binary64)) (neg.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16/81 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) #s(literal -2/3 binary64))))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (PI.f64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 4/9 binary64)) (*.f64 #s(literal -1/9 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 #s(literal 2/3 binary64) (PI.f64))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) #s(literal -2/3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) #s(literal -2/3 binary64))))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 #s(literal 2/3 binary64) (PI.f64))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) #s(literal -2/3 binary64))) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8/27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (acos.f64 (/.f64 g (neg.f64 h))) (-.f64 (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/9 binary64)) (*.f64 #s(literal 2/9 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64)))))
(*.f64 (fma.f64 (acos.f64 (/.f64 g (neg.f64 h))) (-.f64 (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/9 binary64)) (*.f64 #s(literal 2/9 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 #s(literal 2/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fma.f64 (acos.f64 (/.f64 g (neg.f64 h))) (-.f64 (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/9 binary64)) (*.f64 #s(literal 2/9 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64))))))
(*.f64 (fma.f64 (acos.f64 (/.f64 g (neg.f64 h))) (-.f64 (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/9 binary64)) (*.f64 #s(literal 2/9 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 #s(literal 2/3 binary64) (PI.f64))) (fma.f64 (acos.f64 (/.f64 g (neg.f64 h))) (-.f64 (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/9 binary64)) (*.f64 #s(literal 2/9 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64)))))
(*.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8/27 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (acos.f64 (/.f64 g (neg.f64 h))) (-.f64 (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/9 binary64)) (*.f64 #s(literal 2/9 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64))))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4/9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (PI.f64) #s(literal -2/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (acos.f64 (/.f64 g (neg.f64 h))) (-.f64 (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/9 binary64)) (*.f64 #s(literal 2/9 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64)))) (fma.f64 #s(literal 1/27 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8/27 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4/9 binary64))))
(*.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 4/9 binary64)) (*.f64 #s(literal -1/9 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (PI.f64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4/9 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4/9 binary64)))) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8/27 binary64)))) (fma.f64 #s(literal 1/729 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 6 binary64)) (pow.f64 (*.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) #s(literal 4/9 binary64)) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2/9 binary64)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) #s(literal 4/9 binary64)) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2/9 binary64)))) (-.f64 (*.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) #s(literal 4/9 binary64)) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2/9 binary64)))) (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8/27 binary64)))) (-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) #s(literal 4/9 binary64)) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2/9 binary64)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal 2 binary64)) (*.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) #s(literal 4/9 binary64)) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2/9 binary64))))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4/9 binary64))) (fma.f64 #s(literal 1/27 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 3 binary64)) (*.f64 #s(literal -8/27 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 4/9 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2/9 binary64))) (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal 2 binary64))))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(+.f64 (log.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64)))
(fabs.f64 (PI.f64))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 4 binary64))
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 2/3 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (E.f64) #s(literal 1/3 binary64)) (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(pow.f64 (pow.f64 (E.f64) #s(literal 2 binary64)) (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (E.f64) #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (E.f64) (*.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (log.f64 (exp.f64 (cbrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 7/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 8/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (log.f64 (exp.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 8/3 binary64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4/3 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 8/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4/3 binary64)))
(*.f64 (pow.f64 (E.f64) (*.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64)))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64))) (pow.f64 (PI.f64) #s(literal 2/9 binary64)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 8/3 binary64)) #s(literal 1 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 8/3 binary64)) (pow.f64 (PI.f64) #s(literal 2/9 binary64)))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 8/3 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 17/6 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))))

simplify9.0ms (0.3%)

Memory
11.9MiB live, 11.9MiB allocated
Algorithm
egg-herbie
Rules
32×lower-+.f64
32×lower-+.f32
24×lower-*.f64
24×lower-fma.f64
24×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013552
120552
227552
333552
443552
549552
657552
771552
882552
985552
1086552
086504
Stop Event
iter limit
saturated
Counts
48 → 48
Calls
Call 1
Inputs
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
Outputs
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))

simplify47.0ms (1.4%)

Memory
-20.0MiB live, 55.7MiB allocated
Algorithm
egg-herbie
Rules
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05535860
15555860
05555860
Stop Event
saturated
saturated
Counts
218 → 0
Calls
Call 1
Inputs
(exp.f64 (log.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))) #s(literal 1 binary64)))
(pow.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))
(*.f64 (PI.f64) (exp.f64 (log.f64 #s(literal 2/3 binary64))))
(*.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 2/3 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 2/3 binary64) (cbrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 2/3 binary64) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (exp.f64 (log.f64 (*.f64 #s(literal 2/3 binary64) (cbrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (log.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 2/3 binary64) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal 2/9 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (exp.f64 (log.f64 #s(literal 2/3 binary64))) (PI.f64))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (PI.f64)))
(*.f64 (exp.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64)) (log.f64 #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))))) (cos.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))))) (sin.f64 (*.f64 (PI.f64) #s(literal -2/3 binary64)))))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))))) (sin.f64 (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))))) (cos.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(+.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) #s(literal -2/3 binary64))))) (cos.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))))) (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) #s(literal -2/3 binary64))))) (sin.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))))))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64)) (fma.f64 #s(literal 2/3 binary64) (PI.f64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64))))) (cos.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal 2 binary64)) (fma.f64 #s(literal 2/3 binary64) (PI.f64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64)))))) (*.f64 (sin.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64)) (fma.f64 #s(literal 2/3 binary64) (PI.f64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64))))) (sin.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal 2 binary64)) (fma.f64 #s(literal 2/3 binary64) (PI.f64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64)))))))
(cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 #s(literal 2/3 binary64) (PI.f64))))
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(/.f64 (*.f64 (fma.f64 #s(literal 1/81 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 4 binary64)) (neg.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16/81 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) #s(literal -2/3 binary64))))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (PI.f64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 4/9 binary64)) (*.f64 #s(literal -1/9 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 #s(literal 2/3 binary64) (PI.f64))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) #s(literal -2/3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) #s(literal -2/3 binary64))))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 #s(literal 2/3 binary64) (PI.f64))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) #s(literal -2/3 binary64))) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8/27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (acos.f64 (/.f64 g (neg.f64 h))) (-.f64 (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/9 binary64)) (*.f64 #s(literal 2/9 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64)))))
(*.f64 (fma.f64 (acos.f64 (/.f64 g (neg.f64 h))) (-.f64 (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/9 binary64)) (*.f64 #s(literal 2/9 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 #s(literal 2/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fma.f64 (acos.f64 (/.f64 g (neg.f64 h))) (-.f64 (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/9 binary64)) (*.f64 #s(literal 2/9 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64))))))
(*.f64 (fma.f64 (acos.f64 (/.f64 g (neg.f64 h))) (-.f64 (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/9 binary64)) (*.f64 #s(literal 2/9 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 #s(literal 2/3 binary64) (PI.f64))) (fma.f64 (acos.f64 (/.f64 g (neg.f64 h))) (-.f64 (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/9 binary64)) (*.f64 #s(literal 2/9 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64)))))
(*.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8/27 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (acos.f64 (/.f64 g (neg.f64 h))) (-.f64 (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/9 binary64)) (*.f64 #s(literal 2/9 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64))))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4/9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (PI.f64) #s(literal -2/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (acos.f64 (/.f64 g (neg.f64 h))) (-.f64 (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 1/9 binary64)) (*.f64 #s(literal 2/9 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/9 binary64)))) (fma.f64 #s(literal 1/27 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8/27 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) #s(literal -2/3 binary64)))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4/9 binary64))))
(*.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 4/9 binary64)) (*.f64 #s(literal -1/9 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (PI.f64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal -1/3 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4/9 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4/9 binary64)))) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8/27 binary64)))) (fma.f64 #s(literal 1/729 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 6 binary64)) (pow.f64 (*.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) #s(literal 4/9 binary64)) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2/9 binary64)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) #s(literal 4/9 binary64)) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2/9 binary64)))) (-.f64 (*.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) #s(literal 4/9 binary64)) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2/9 binary64)))) (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8/27 binary64)))) (-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal 4 binary64)) (pow.f64 (*.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) #s(literal 4/9 binary64)) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2/9 binary64)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal 2 binary64)) (*.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) #s(literal 4/9 binary64)) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2/9 binary64))))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4/9 binary64))) (fma.f64 #s(literal 1/27 binary64) (pow.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 3 binary64)) (*.f64 #s(literal -8/27 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 4/9 binary64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) #s(literal 2/9 binary64))) (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g (neg.f64 h)))) #s(literal 2 binary64))))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(+.f64 (log.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64)))
(fabs.f64 (PI.f64))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 4 binary64))
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 2/3 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (E.f64) #s(literal 1/3 binary64)) (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(pow.f64 (pow.f64 (E.f64) #s(literal 2 binary64)) (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (E.f64) #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (E.f64) (*.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (log.f64 (exp.f64 (cbrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 7/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 8/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (log.f64 (exp.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 8/3 binary64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4/3 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 8/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4/3 binary64)))
(*.f64 (pow.f64 (E.f64) (*.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64)))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64))) (pow.f64 (PI.f64) #s(literal 2/9 binary64)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 8/3 binary64)) #s(literal 1 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 8/3 binary64)) (pow.f64 (PI.f64) #s(literal 2/9 binary64)))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 8/3 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 17/6 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))))
Outputs
(exp.f64 (log.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))) #s(literal 1 binary64)))
(pow.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))
(*.f64 (PI.f64) (exp.f64 (log.f64 #s(literal 2/3 binary64))))
(*.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 2/3 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 2/3 binary64) (cbrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 2/3 binary64) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (exp.f64 (log.f64 (*.f64 #s(literal 2/3 binary64) (cbrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64))))
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(*.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 7/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 8/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (log.f64 (exp.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 8/3 binary64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4/3 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 8/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4/3 binary64)))
(*.f64 (pow.f64 (E.f64) (*.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64)))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64))) (pow.f64 (PI.f64) #s(literal 2/9 binary64)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 8/3 binary64)) #s(literal 1 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 8/3 binary64)) (pow.f64 (PI.f64) #s(literal 2/9 binary64)))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 8/3 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 17/6 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))))

eval8.0ms (0.3%)

Memory
14.0MiB live, 14.0MiB allocated
Compiler

Compiled 1 250 to 13 computations (99% saved)

prune1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New96096
Fresh000
Picked011
Done000
Total96197
Accuracy
98.4%
Counts
97 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes14.0ms (0.4%)

Memory
-23.4MiB live, 19.5MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

9 calls:

3.0ms
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
1.0ms
(neg.f64 g)
1.0ms
h
1.0ms
g
1.0ms
(/.f64 (neg.f64 g) h)
Results
AccuracySegmentsBranch
98.4%1g
98.4%1h
98.4%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)))))
98.4%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))))
98.4%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)))
98.4%1(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
98.4%1(acos.f64 (/.f64 (neg.f64 g) h))
98.4%1(/.f64 (neg.f64 g) h)
98.4%1(neg.f64 g)
Compiler

Compiled 81 to 62 computations (23.5% saved)

simplify6.0ms (0.2%)

Memory
8.7MiB live, 8.7MiB allocated
Algorithm
egg-herbie
Rules
10×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
12113
22713
33213
43513
53613
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
Outputs
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))

soundness9.0ms (0.3%)

Memory
7.7MiB live, 7.7MiB allocated
Rules
32×lower-+.f64
32×lower-+.f32
24×lower-*.f64
24×lower-fma.f64
24×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013720
120720
227720
333720
443720
549720
657720
771720
882720
985720
1086720
086672
Stop Event
done
iter limit
saturated
Compiler

Compiled 30 to 26 computations (13.3% saved)

preprocess22.0ms (0.7%)

Memory
-12.9MiB live, 25.9MiB allocated
Compiler

Compiled 66 to 54 computations (18.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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