Diagrams.ThreeD.Transform:aboutX from diagrams-lib-1.3.0.3, A

Time bar (total: 9.3s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-cos: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-sin: 0.0ms (0% of total)

sample1.8s (19%)

Results
1.5s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-sin: 391.0ms (37.2% of total)
ival-cos: 292.0ms (27.8% of total)
ival-mult: 196.0ms (18.7% of total)
ival-sub: 162.0ms (15.4% of total)
const: 7.0ms (0.7% of total)
backward-pass: 2.0ms (0.2% of total)
Bogosity

preprocess100.0ms (1.1%)

Algorithm
egg-herbie
Rules
489×fma-define
350×fma-neg
92×associate-*r*
83×distribute-lft-neg-in
83×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043453
1111417
2211417
3468417
4925417
51420417
61774417
72107417
82142417
92157417
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 (neg.f64 y))) (*.f64 z (sin.f64 (neg.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y)))
(neg.f64 (-.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 z (sin.f64 y))))
(neg.f64 (-.f64 (*.f64 x (cos.f64 (neg.f64 y))) (*.f64 z (sin.f64 (neg.f64 y)))))
(neg.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y))))
(-.f64 (*.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x)))
(-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z)))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) (neg.f64 x)) (*.f64 z (sin.f64 y)))
(neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(neg.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(-.f64 (*.f64 x (cos.f64 (neg.f64 y))) (*.f64 z (sin.f64 (neg.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(neg.f64 (-.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(neg.f64 (-.f64 (*.f64 x (cos.f64 (neg.f64 y))) (*.f64 z (sin.f64 (neg.f64 y)))))
(-.f64 (*.f64 (cos.f64 y) (neg.f64 x)) (*.f64 z (sin.f64 y)))
(neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(neg.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(neg.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y))))
(-.f64 (*.f64 (cos.f64 y) (neg.f64 x)) (*.f64 z (sin.f64 y)))
(neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(neg.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(-.f64 (*.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x)))
(fma.f64 y (cos.f64 x) (neg.f64 (*.f64 z (sin.f64 x))))
(fma.f64 y (cos.f64 x) (*.f64 (neg.f64 z) (sin.f64 x)))
(-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 x) (*.f64 (cos.f64 y) z))
(-.f64 (*.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z)))

explain471.0ms (5.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
00-0-(sin.f64 y)
00-0-y
00-0-(*.f64 x (cos.f64 y))
00-0-z
00-0-(cos.f64 y)
00-0-x
00-0-(*.f64 z (sin.f64 y))
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
Results
65.0ms512×0valid
Compiler

Compiled 80 to 34 computations (57.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-sin: 12.0ms (31.9% of total)
ival-mult: 11.0ms (29.2% of total)
ival-cos: 11.0ms (29.2% of total)
ival-sub: 3.0ms (8% of total)
const: 1.0ms (2.7% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify98.0ms (1.1%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff0
(sin.f64 y)
cost-diff0
(neg.f64 (sin.f64 y))
cost-diff6336
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff0
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Rules
170×fma-define
87×fma-neg
27×distribute-lft-neg-in
27×cancel-sign-sub-inv
22×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018197
132197
247197
366197
497197
5139197
6218197
7331197
8423197
9528197
10582197
11588197
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
z
(neg.f64 (sin.f64 y))
(sin.f64 y)
y
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
z
(neg.f64 (sin.f64 y))
(sin.f64 y)
y
(*.f64 x (cos.f64 y))
x
(cos.f64 y)

localize61.0ms (0.7%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f64 (sin.f64 y))
accuracy100.0%
(cos.f64 y)
accuracy99.9%
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
accuracy99.8%
(*.f64 x (cos.f64 y))
accuracy100.0%
(cos.f64 y)
accuracy100.0%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy99.8%
(*.f64 x (cos.f64 y))
accuracy99.8%
(*.f64 z (sin.f64 y))
Results
46.0ms256×0valid
Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-sin: 10.0ms (37.7% of total)
ival-cos: 6.0ms (22.6% of total)
ival-mult: 4.0ms (15.1% of total)
ival-fma: 3.0ms (11.3% of total)
ival-sub: 1.0ms (3.8% of total)
ival-neg: 1.0ms (3.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series19.0ms (0.2%)

Counts
7 → 89
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (cos.f64 y)>
#<alt (*.f64 z (sin.f64 y))>
#<alt (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))>
#<alt (neg.f64 (sin.f64 y))>
#<alt (sin.f64 y)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) z)))>
#<alt (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/24 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) x))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))))>
#<alt (*.f64 y (+.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))))))>
#<alt (*.f64 y (+.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z)) (*.f64 #s(literal 1/120 binary64) z)))))))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (*.f64 x (cos.f64 y)) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (*.f64 x (cos.f64 y)) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (*.f64 x (cos.f64 y)) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))))>
#<alt (+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 y (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/120 binary64))))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (sin.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (sin.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (sin.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (sin.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (sin.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (sin.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (sin.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (sin.f64 y))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
Calls

39 calls:

TimeVariablePointExpression
2.0ms
z
@0
(- (* x (cos y)) (* z (sin y)))
1.0ms
x
@0
(- (* x (cos y)) (* z (sin y)))
1.0ms
y
@inf
(- (* x (cos y)) (* z (sin y)))
1.0ms
y
@-inf
(- (* x (cos y)) (* z (sin y)))
1.0ms
y
@0
(- (* x (cos y)) (* z (sin y)))

rewrite397.0ms (4.3%)

Algorithm
batch-egg-rewrite
Rules
868×log1p-expm1-u
868×expm1-log1p-u
472×log-prod
410×fma-define
222×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018144
1230128
23086128
Stop Event
node limit
Counts
7 → 362
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(neg.f64 (sin.f64 y))
(sin.f64 y)
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+.f64 #s(literal 0 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (cbrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))) (-.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sin.f64 y))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (cos.f64 y)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) (sin.f64 y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y)))) (pow.f64 (exp.f64 z) (sin.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sin.f64 y))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) (sin.f64 y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (exp.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))))
(log.f64 (*.f64 (exp.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))) (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(log.f64 (*.f64 (exp.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 z) (sin.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (exp.f64 x) (cos.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sin.f64 y)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y))))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) (sin.f64 y))) (pow.f64 (exp.f64 x) (cos.f64 y))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) (sin.f64 y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sin.f64 y))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) (cos.f64 y)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) (sin.f64 y)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y)))) (pow.f64 (exp.f64 z) (sin.f64 y))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sin.f64 y))))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) (sin.f64 y)))))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(hypot.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 x (cos.f64 y) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (fma.f64 z (sin.f64 y) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(fma.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(fma.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 z (sin.f64 y))))
(fma.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64) (*.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64) (+.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 z (sin.f64 y))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 y)) z) (*.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 y)) x) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 y)) x) (fma.f64 z (sin.f64 y) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 y)) x) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 z (sin.f64 y))))
(fma.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)) (*.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
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(pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))
(neg.f64 (sin.f64 y))
(sqrt.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y)))))
(cbrt.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 y)))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(exp.f64 (log.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))

simplify479.0ms (5.2%)

Algorithm
egg-herbie
Rules
671×fma-neg
419×cancel-sign-sub-inv
314×distribute-lft-neg-in
298×associate-*r*
288×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062619186
1138417987
2433316882
Stop Event
node limit
Counts
451 → 395
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (cos.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) z)))
(+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
x
(+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/24 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) x))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(*.f64 y z)
(*.f64 y (+.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))))
(*.f64 y (+.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))))))
(*.f64 y (+.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z)) (*.f64 #s(literal 1/120 binary64) z)))))))
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (*.f64 x (cos.f64 y)) z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (*.f64 x (cos.f64 y)) z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (*.f64 x (cos.f64 y)) z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)))))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))))
(+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (cos.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 y (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 y (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/120 binary64))))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (sin.f64 y))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+.f64 #s(literal 0 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (cbrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))) (-.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sin.f64 y))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (cos.f64 y)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) (sin.f64 y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y)))) (pow.f64 (exp.f64 z) (sin.f64 y))))
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(log.f64 (*.f64 (pow.f64 (exp.f64 x) (cos.f64 y)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) (sin.f64 y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y)))) (pow.f64 (exp.f64 z) (sin.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sin.f64 y))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) (sin.f64 y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (exp.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))))
(log.f64 (*.f64 (exp.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))) (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(log.f64 (*.f64 (exp.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 z) (sin.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (exp.f64 x) (cos.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sin.f64 y)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y))))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) (sin.f64 y))) (pow.f64 (exp.f64 x) (cos.f64 y))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) (sin.f64 y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sin.f64 y))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) (cos.f64 y)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) (sin.f64 y)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y)))) (pow.f64 (exp.f64 z) (sin.f64 y))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sin.f64 y))))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) (sin.f64 y)))))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(hypot.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sin.f64 y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) (cbrt.f64 (exp.f64 (sin.f64 y))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) #s(literal 1 binary64))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 y))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 y))) (sin.f64 #s(literal 1 binary64))))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(*.f64 (sin.f64 y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 #s(literal -1 binary64) (sin.f64 y))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 y)))
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 y)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (sin.f64 y))
(pow.f64 (sin.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y)))))
(cbrt.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(exp.f64 (log.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sin.f64 y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) (cbrt.f64 (exp.f64 (sin.f64 y))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) #s(literal 1 binary64))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 y))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 y))) (sin.f64 #s(literal 1 binary64))))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(*.f64 (sin.f64 y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 #s(literal -1 binary64) (sin.f64 y))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 y)))
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 y)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (sin.f64 y))
(pow.f64 (sin.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))
(neg.f64 (sin.f64 y))
(sqrt.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y)))))
(cbrt.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 y)))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(exp.f64 (log.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (+.f64 (cos.f64 y) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (+.f64 (cos.f64 y) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (+.f64 (cos.f64 y) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(*.f64 x (cos.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (+.f64 (cos.f64 y) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (+.f64 (cos.f64 y) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (+.f64 (cos.f64 y) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 (neg.f64 y) z))
(-.f64 x (*.f64 z y))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) z)))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y (neg.f64 z)) x)
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)
(+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))
(+.f64 x (*.f64 y (-.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 z y) #s(literal 1/6 binary64)))) z)))
(fma.f64 y (-.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z) x)
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) (neg.f64 z)) x)
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(*.f64 z (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(*.f64 z (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(*.f64 z (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(*.f64 z (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(*.f64 z (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(*.f64 z (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))))
x
(+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/24 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 x #s(literal 1/24 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/24 binary64)))) x)
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) x)
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) x))))))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 1/24 binary64)))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/720 binary64)))))) x)
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#s(literal 1 binary64)
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x
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(-.f64 (*.f64 (cos.f64 #s(literal 1 binary64)) (sin.f64 (exp.f64 (log1p.f64 y)))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 y))) (sin.f64 #s(literal 1 binary64))))
(-.f64 (*.f64 (cos.f64 #s(literal 1 binary64)) (sin.f64 (+.f64 y #s(literal 1 binary64)))) (*.f64 (cos.f64 (+.f64 y #s(literal 1 binary64))) (sin.f64 #s(literal 1 binary64))))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(sin.f64 y)
(*.f64 (sin.f64 y) #s(literal -1 binary64))
(neg.f64 (sin.f64 y))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)))
(sin.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (sin.f64 y))))
(neg.f64 (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 (sqrt.f64 (sin.f64 y))))
(neg.f64 (sin.f64 y))
(*.f64 #s(literal -1 binary64) (sin.f64 y))
(neg.f64 (sin.f64 y))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 y)))
(neg.f64 (sin.f64 y))
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(neg.f64 (sin.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 y)))
(neg.f64 (sin.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(neg.f64 (sin.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 y)))))
(neg.f64 (sin.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (sin.f64 y))
(neg.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) #s(literal 1 binary64))
(sin.f64 y)
(pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 3 binary64))
(sin.f64 y)
(pow.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sin.f64 y)
(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))
(sin.f64 y)
(neg.f64 (sin.f64 y))
(sqrt.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(sin.f64 y)
(log.f64 (exp.f64 (sin.f64 y)))
(sin.f64 y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y))))
(sin.f64 y)
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y)))))
(neg.f64 (sin.f64 y))
(cbrt.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (log.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))
(sin.f64 y)

eval104.0ms (1.1%)

Compiler

Compiled 8588 to 1172 computations (86.4% saved)

prune156.0ms (1.7%)

Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New45120471
Fresh000
Picked112
Done000
Total45221473
Accuracy
100.0%
Counts
473 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.4%
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 z (sin.f64 y))))
58.0%
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
73.8%
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x #s(literal 1 binary64)))
89.6%
(fma.f64 z (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y))))) (*.f64 x (cos.f64 y)))
37.2%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
51.6%
(-.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (*.f64 z (sin.f64 y)))
98.5%
(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64)) (*.f64 z (sin.f64 y)))
99.4%
(-.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))) (*.f64 z (sin.f64 y)))
99.7%
(-.f64 (*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
99.7%
(-.f64 (*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
73.8%
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
52.0%
(-.f64 x (*.f64 z y))
50.5%
(+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))
50.9%
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))
34.4%
(*.f64 (sin.f64 y) (neg.f64 z))
83.9%
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
90.6%
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
92.0%
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
67.5%
(*.f64 x (cos.f64 y))
42.2%
x
Compiler

Compiled 644 to 400 computations (37.9% saved)

simplify84.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
(cbrt.f64 (*.f64 x (cos.f64 y)))
cost-diff12864
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64))
cost-diff12864
(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64)) (*.f64 z (sin.f64 y)))
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 (sin.f64 y) x)
cost-diff0
(*.f64 z (/.f64 (sin.f64 y) x))
cost-diff128
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
cost-diff-128
(cos.f64 y)
cost-diff-128
(*.f64 x (cos.f64 y))
cost-diff0
(log1p.f64 (cos.f64 y))
cost-diff12800
(expm1.f64 (log1p.f64 (cos.f64 y)))
cost-diff12800
(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
cost-diff12800
(-.f64 (*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
Rules
681×fma-define
417×sub-neg
294×unsub-neg
294×div-sub
268×distribute-lft-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
026543
154543
2104519
3213447
4517447
51204447
63777447
75975447
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
x
(expm1.f64 (log1p.f64 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
x
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
x
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(cos.f64 y)
y
(*.f64 z (/.f64 (sin.f64 y) x))
z
(/.f64 (sin.f64 y) x)
(sin.f64 y)
(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64)) (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
#s(literal 3 binary64)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
Outputs
(-.f64 (*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
(*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)))
(*.f64 x (cos.f64 y))
x
(expm1.f64 (log1p.f64 (cos.f64 y)))
(+.f64 (cos.f64 y) #s(literal 0 binary64))
(cos.f64 y)
(log1p.f64 (cos.f64 y))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(+.f64 (cos.f64 y) #s(literal 0 binary64))
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
x
(*.f64 x (cos.f64 y))
(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
(*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)))
x
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(+.f64 (cos.f64 y) #s(literal 0 binary64))
y
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(-.f64 (*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
x
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(+.f64 (cos.f64 y) #s(literal 0 binary64))
y
(*.f64 z (/.f64 (sin.f64 y) x))
z
(/.f64 (sin.f64 y) x)
(sin.f64 y)
(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64))
(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
(*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)))
(*.f64 x (cos.f64 y))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
(*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)))
x
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(+.f64 (cos.f64 y) #s(literal 0 binary64))
y
#s(literal 3 binary64)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)

localize282.0ms (3%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 x (cos.f64 y))
accuracy99.8%
(*.f64 z (sin.f64 y))
accuracy99.1%
(cbrt.f64 (*.f64 x (cos.f64 y)))
accuracy98.9%
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64))
accuracy100.0%
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
accuracy99.8%
(/.f64 (sin.f64 y) x)
accuracy96.1%
(*.f64 z (/.f64 (sin.f64 y) x))
accuracy92.1%
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
accuracy100.0%
(cos.f64 y)
accuracy99.8%
(*.f64 x (cos.f64 y))
accuracy99.8%
(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
accuracy99.8%
(*.f64 z (sin.f64 y))
accuracy99.8%
(expm1.f64 (log1p.f64 (cos.f64 y)))
accuracy99.6%
(log1p.f64 (cos.f64 y))
Results
246.0ms256×0valid
Compiler

Compiled 125 to 20 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 14.0ms (28.7% of total)
ival-sin: 6.0ms (12.3% of total)
ival-cos: 6.0ms (12.3% of total)
ival-pow: 6.0ms (12.3% of total)
ival-sub: 4.0ms (8.2% of total)
ival-log1p: 4.0ms (8.2% of total)
ival-expm1: 3.0ms (6.1% of total)
ival-cbrt: 3.0ms (6.1% of total)
ival-div: 2.0ms (4.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series104.0ms (1.1%)

Counts
11 → 264
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))>
#<alt (expm1.f64 (log1p.f64 (cos.f64 y)))>
#<alt (log1p.f64 (cos.f64 y))>
#<alt (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))>
#<alt (*.f64 z (/.f64 (sin.f64 y) x))>
#<alt (/.f64 (sin.f64 y) x)>
#<alt (-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64)) (*.f64 z (sin.f64 y)))>
#<alt (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (*.f64 x (cos.f64 y)))>
#<alt (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) z)))>
#<alt (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/24 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))>
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#<alt (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)))>
#<alt (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))>
#<alt (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))>
#<alt (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))>
#<alt (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) z)) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) z)) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) z)) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))>
#<alt (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) x)>
#<alt (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) x)>
#<alt (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) x)>
#<alt (cos.f64 y)>
#<alt (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)))>
#<alt (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)))>
#<alt (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)))>
#<alt (cos.f64 y)>
#<alt (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)))>
#<alt (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)))>
#<alt (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)))>
Calls

75 calls:

TimeVariablePointExpression
34.0ms
y
@inf
(log (+ 1 (cos y)))
24.0ms
y
@-inf
(log (+ 1 (cos y)))
4.0ms
y
@inf
(cbrt (* x (cos y)))
2.0ms
x
@0
(- (* x (- (exp (log (+ 1 (cos y)))) 1)) (* z (sin y)))
2.0ms
x
@-inf
(- (pow (cbrt (* x (cos y))) 3) (* z (sin y)))

rewrite267.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
1066×log1p-expm1-u
940×expm1-log1p-u
152×add-cube-cbrt
148×add-exp-log
148×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026283
1394283
24697283
Stop Event
node limit
Counts
11 → 326
Calls
Call 1
Inputs
(-.f64 (*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
(expm1.f64 (log1p.f64 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(*.f64 z (/.f64 (sin.f64 y) x))
(/.f64 (sin.f64 y) x)
(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64)) (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 x (cos.f64 y)))
(*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(*.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))) (-.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)))
(+.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cos.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) (+.f64 (cos.f64 y) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) (+.f64 (cos.f64 y) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (cos.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(cos.f64 y)
(log1p.f64 (expm1.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (cos.f64 y)))) #s(literal 1 binary64))
(*.f64 (log1p.f64 (cos.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (log1p.f64 (cos.f64 y))) (sqrt.f64 (log1p.f64 (cos.f64 y))))
(pow.f64 (log1p.f64 (cos.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 y)) #s(literal 2 binary64)))
(log.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 y))))
(exp.f64 (log.f64 (log1p.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 y))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 x (*.f64 z (neg.f64 (/.f64 (sin.f64 y) x)))))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (neg.f64 (/.f64 (sin.f64 y) x))) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))))
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(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (cbrt.f64 (cos.f64 y)))
(*.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (cbrt.f64 x)) (cbrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/6 binary64))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/6 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cbrt.f64 x) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 1/3 binary64)))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) #s(literal 1 binary64)))
(+.f64 (cos.f64 y) (*.f64 z (neg.f64 (/.f64 (sin.f64 y) x))))
(+.f64 (cos.f64 y) (*.f64 (*.f64 z (neg.f64 (/.f64 (sin.f64 y) x))) #s(literal 1 binary64)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))) (fma.f64 (neg.f64 (/.f64 (sin.f64 y) x)) z (*.f64 (sin.f64 y) (/.f64 z x))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))) (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (*.f64 (sin.f64 y) (/.f64 z x))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))) (fma.f64 (*.f64 z (neg.f64 (/.f64 (sin.f64 y) x))) #s(literal 1 binary64) (*.f64 (sin.f64 y) (/.f64 z x))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 z x)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 z x))) #s(literal 2 binary64)) (*.f64 (sin.f64 y) (/.f64 z x))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 z x)))) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 z x))) (*.f64 (sin.f64 y) (/.f64 z x))))
(+.f64 (*.f64 z (neg.f64 (/.f64 (sin.f64 y) x))) (cos.f64 y))
(*.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(*.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))))
(*.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))))
(*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))))))
(*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 z x)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 2 binary64))) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (neg.f64 (/.f64 (sin.f64 y) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z (neg.f64 (/.f64 (sin.f64 y) x))) (*.f64 z (neg.f64 (/.f64 (sin.f64 y) x)))) (*.f64 (cos.f64 y) (*.f64 z (neg.f64 (/.f64 (sin.f64 y) x)))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 z (neg.f64 (/.f64 (sin.f64 y) x))) (*.f64 z (neg.f64 (/.f64 (sin.f64 y) x))))) (-.f64 (cos.f64 y) (*.f64 z (neg.f64 (/.f64 (sin.f64 y) x)))))
(pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))))
(exp.f64 (log.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 z (neg.f64 (/.f64 (sin.f64 y) x))))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (/.f64 (sin.f64 y) x))))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (/.f64 (sin.f64 y) x))))

simplify494.0ms (5.3%)

Algorithm
egg-herbie
Rules
555×associate-*r*
481×associate-*l*
443×fma-define
328×cube-prod
307×exp-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075024444
1182323146
2665623146
Stop Event
node limit
Counts
590 → 431
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (cos.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) z)))
(+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
x
(+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/24 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) x))))))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/96 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/1440 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/96 binary64))) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
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(*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(*.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))))
(*.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))))
(*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))))))
(*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 z x)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 2 binary64))) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (neg.f64 (/.f64 (sin.f64 y) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z (neg.f64 (/.f64 (sin.f64 y) x))) (*.f64 z (neg.f64 (/.f64 (sin.f64 y) x)))) (*.f64 (cos.f64 y) (*.f64 z (neg.f64 (/.f64 (sin.f64 y) x)))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 z (neg.f64 (/.f64 (sin.f64 y) x))) (*.f64 z (neg.f64 (/.f64 (sin.f64 y) x))))) (-.f64 (cos.f64 y) (*.f64 z (neg.f64 (/.f64 (sin.f64 y) x)))))
(pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))))
(exp.f64 (log.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 z (neg.f64 (/.f64 (sin.f64 y) x))))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (/.f64 (sin.f64 y) x))))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (/.f64 (sin.f64 y) x))))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(*.f64 x (cos.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (neg.f64 (*.f64 z y)))
(-.f64 x (*.f64 z y))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) z)))
(+.f64 x (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) (neg.f64 z))))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) (neg.f64 z)) x)
(+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))
(+.f64 x (*.f64 y (fma.f64 y (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 z y) #s(literal 1/6 binary64))) (neg.f64 z))))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)) x)
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))))
(*.f64 z (neg.f64 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))))
(*.f64 z (neg.f64 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))))
(*.f64 z (neg.f64 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) (/.f64 x z)))))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
x
(+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))) x)
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/24 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/24 binary64)))) x)
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) x))))))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 1/24 binary64)))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/720 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x)
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/720 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/96 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/96 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/1440 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/96 binary64))) #s(literal 1/4 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal -1/96 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) (log.f64 #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
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(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 z (neg.f64 (/.f64 (sin.f64 y) x))))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (/.f64 (sin.f64 y) x))))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 y)) (*.f64 z (/.f64 (sin.f64 y) (neg.f64 x))))
(-.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (sin.f64 y) (/.f64 z x)))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (/.f64 (sin.f64 y) x))))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))

eval259.0ms (2.8%)

Compiler

Compiled 13266 to 2337 computations (82.4% saved)

prune255.0ms (2.8%)

Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New72216738
Fresh7815
Picked325
Done011
Total73227759
Accuracy
100.0%
Counts
759 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.2%
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
89.6%
(fma.f64 z (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y))))) (*.f64 x (cos.f64 y)))
49.1%
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))
33.0%
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
66.2%
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64))
99.6%
(-.f64 (*.f64 x (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
73.8%
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
52.0%
(-.f64 x (*.f64 z y))
99.7%
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
50.5%
(+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))
50.9%
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))
34.4%
(*.f64 (sin.f64 y) (neg.f64 z))
83.9%
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
90.6%
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
49.0%
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)))))
92.1%
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)))))
52.7%
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (*.f64 y (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) x))))))
49.8%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y x))))
46.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1/2 binary64))) (/.f64 z x)))))
47.4%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))))
26.7%
(*.f64 x (*.f64 z (/.f64 (sin.f64 y) (neg.f64 x))))
67.0%
(*.f64 x (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))))
67.4%
(*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y))))
67.4%
(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
67.5%
(*.f64 x (cos.f64 y))
42.2%
x
Compiler

Compiled 771 to 504 computations (34.6% saved)

simplify85.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (exp.f64 (cos.f64 y)))
cost-diff0
(log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))
cost-diff0
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
cost-diff0
(*.f64 x (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))))
cost-diff0
(+.f64 (cos.f64 y) #s(literal 1 binary64))
cost-diff256
(-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff256
(*.f64 x (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff256
(-.f64 (*.f64 x (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
cost-diff0
(neg.f64 z)
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) (neg.f64 z))
cost-diff-6336
(-.f64 x (*.f64 z y))
cost-diff0
(*.f64 z y)
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff19520
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))
cost-diff19648
(*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
cost-diff19776
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
Rules
896×fma-define
430×distribute-lft-out
369×associate-+r+
318×distribute-neg-in
317×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035735
177698
2156643
3455497
41464497
54488497
66713497
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
#s(literal 2 binary64)
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))
(neg.f64 (sin.f64 y))
(-.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
(*.f64 (sin.f64 y) (neg.f64 z))
(sin.f64 y)
y
(neg.f64 z)
z
(-.f64 (*.f64 x (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(*.f64 x (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)))
x
(-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (cos.f64 y) #s(literal 1 binary64))
(cos.f64 y)
y
#s(literal 1 binary64)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(*.f64 x (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))))
x
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
#s(literal 2 binary64)
(log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))
(sqrt.f64 (exp.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(cos.f64 y)
y
Outputs
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(fma.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (neg.f64 (sin.f64 y)) (sin.f64 y))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 z (*.f64 #s(literal 0 binary64) (sin.f64 y))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(fma.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (neg.f64 (sin.f64 y)) (sin.f64 y))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 z (*.f64 #s(literal 0 binary64) (sin.f64 y))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (neg.f64 (sin.f64 y)) (sin.f64 y))))
(*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 0 binary64) (sin.f64 y)))
#s(literal 0 binary64)
#s(literal 2 binary64)
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))
(*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (neg.f64 (sin.f64 y)) (sin.f64 y))))
(*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 0 binary64) (sin.f64 y)))
#s(literal 0 binary64)
(neg.f64 (sin.f64 y))
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
x
(*.f64 z y)
(*.f64 y z)
z
y
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(sin.f64 y)
y
(neg.f64 z)
z
(-.f64 (*.f64 x (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(fma.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (neg.f64 (sin.f64 y)) (sin.f64 y))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 z (*.f64 #s(literal 0 binary64) (sin.f64 y))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (cos.f64 y))
x
(-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(cos.f64 y)
(+.f64 (cos.f64 y) #s(literal 1 binary64))
(cos.f64 y)
y
#s(literal 1 binary64)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(*.f64 x (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))))
(*.f64 #s(literal 2 binary64) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))))
x
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
#s(literal 2 binary64)
(log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))
(sqrt.f64 (exp.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(cos.f64 y)
y

localize380.0ms (4.1%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(exp.f64 (cos.f64 y))
accuracy99.9%
(sqrt.f64 (exp.f64 (cos.f64 y)))
accuracy99.8%
(*.f64 x (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))))
accuracy99.1%
(log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))
accuracy99.8%
(*.f64 x (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy99.8%
(*.f64 z (sin.f64 y))
accuracy99.5%
(-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy99.3%
(+.f64 (cos.f64 y) #s(literal 1 binary64))
accuracy100.0%
(sin.f64 y)
accuracy100.0%
(neg.f64 z)
accuracy99.8%
(*.f64 (sin.f64 y) (neg.f64 z))
accuracy100.0%
(*.f64 z y)
accuracy100.0%
(-.f64 x (*.f64 z y))
accuracy100.0%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy99.8%
(*.f64 x (cos.f64 y))
accuracy99.8%
(*.f64 z (sin.f64 y))
accuracy17.0%
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))
Results
199.0ms110×2valid
75.0ms87×1valid
41.0ms24×3valid
11.0ms35×0valid
Compiler

Compiled 171 to 28 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 217.0ms
ival-sub: 68.0ms (31.4% of total)
ival-sin: 35.0ms (16.2% of total)
ival-mult: 33.0ms (15.2% of total)
backward-pass: 30.0ms (13.9% of total)
ival-cos: 13.0ms (6% of total)
ival-exp: 9.0ms (4.2% of total)
ival-fma: 8.0ms (3.7% of total)
ival-add: 6.0ms (2.8% of total)
ival-log: 6.0ms (2.8% of total)
ival-neg: 4.0ms (1.8% of total)
ival-sqrt: 4.0ms (1.8% of total)
const: 1.0ms (0.5% of total)

series127.0ms (1.4%)

Counts
16 → 304
Calls
Call 1
Inputs
#<alt (+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))>
#<alt (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))>
#<alt (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))>
#<alt (*.f64 z y)>
#<alt (-.f64 x (*.f64 z y))>
#<alt (*.f64 (sin.f64 y) (neg.f64 z))>
#<alt (neg.f64 z)>
#<alt (-.f64 (*.f64 x (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)))>
#<alt (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (+.f64 (cos.f64 y) #s(literal 1 binary64))>
#<alt (*.f64 x (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))))>
#<alt (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))>
#<alt (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))>
#<alt (sqrt.f64 (exp.f64 (cos.f64 y)))>
#<alt (exp.f64 (cos.f64 y))>
Outputs
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (-.f64 (+.f64 (cos.f64 y) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) x))) (/.f64 (*.f64 z (sin.f64 y)) x)))>
#<alt (*.f64 x (-.f64 (+.f64 (cos.f64 y) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) x))) (/.f64 (*.f64 z (sin.f64 y)) x)))>
#<alt (*.f64 x (-.f64 (+.f64 (cos.f64 y) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) x))) (/.f64 (*.f64 z (sin.f64 y)) x)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y))) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y))) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y))) x)))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z))) z)))>
#<alt (+.f64 x (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z)))) z)))>
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#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
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#<alt (*.f64 x (cos.f64 y))>
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#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt x>
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#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt #s(literal 1 binary64)>
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#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
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#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt #s(literal 2 binary64)>
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#<alt (+.f64 #s(literal 1 binary64) (cos.f64 y))>
#<alt (+.f64 #s(literal 1 binary64) (cos.f64 y))>
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#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64))))))>
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#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))))>
#<alt (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 12 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (*.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64)))) (exp.f64 #s(literal 1 binary64)))) #s(literal 3/4 binary64)))) #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 90 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (*.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64)))) (exp.f64 #s(literal 1 binary64)))) (*.f64 #s(literal 360 binary64) (/.f64 (-.f64 (*.f64 #s(literal -31/720 binary64) (exp.f64 #s(literal 1 binary64))) (*.f64 #s(literal -1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (*.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64)))))) (exp.f64 #s(literal 1 binary64))))) #s(literal 15/4 binary64)))) (*.f64 #s(literal 1/12 binary64) (-.f64 (*.f64 #s(literal 12 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (*.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64)))) (exp.f64 #s(literal 1 binary64)))) #s(literal 3/4 binary64))))) #s(literal 1/2 binary64))))>
#<alt (log.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64))))>
#<alt (+.f64 (log.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 12 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (*.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64)))) (exp.f64 #s(literal 1 binary64)))) #s(literal 3/4 binary64)))) #s(literal 1/4 binary64))))>
#<alt (+.f64 (log.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 90 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (*.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64)))) (exp.f64 #s(literal 1 binary64)))) (*.f64 #s(literal 360 binary64) (/.f64 (-.f64 (*.f64 #s(literal -31/720 binary64) (exp.f64 #s(literal 1 binary64))) (*.f64 #s(literal -1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (*.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64)))))) (exp.f64 #s(literal 1 binary64))))) #s(literal 15/4 binary64)))) (*.f64 #s(literal 1/24 binary64) (-.f64 (*.f64 #s(literal 12 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (*.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64)))) (exp.f64 #s(literal 1 binary64)))) #s(literal 3/4 binary64))))) #s(literal 1/4 binary64))))>
#<alt (sqrt.f64 (exp.f64 #s(literal 1 binary64)))>
#<alt (+.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (exp.f64 #s(literal 1 binary64))))))>
#<alt (+.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (exp.f64 #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (*.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 1 binary64)))))))))>
#<alt (+.f64 (sqrt.f64 (exp.f64 #s(literal 1 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (exp.f64 #s(literal 1 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (*.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -31/720 binary64) (exp.f64 #s(literal 1 binary64))) (*.f64 #s(literal -1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))) (*.f64 #s(literal 1/16 binary64) (exp.f64 #s(literal 1 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 1 binary64)))))))))))>
#<alt (exp.f64 #s(literal 1 binary64))>
#<alt (+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))))>
#<alt (+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 1 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))))))>
#<alt (+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 1 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -31/720 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (*.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))))))))>
Calls

84 calls:

TimeVariablePointExpression
48.0ms
x
@0
(* x (* 2 (log (sqrt (exp (cos y))))))
18.0ms
y
@-inf
(* x (* 2 (log (sqrt (exp (cos y))))))
17.0ms
y
@inf
(* x (* 2 (log (sqrt (exp (cos y))))))
6.0ms
y
@0
(sqrt (exp (cos y)))
4.0ms
y
@inf
(+ (- (* x (cos y)) (* z (sin y))) (* 2 (+ (* (neg (sin y)) z) (* z (sin y)))))

rewrite214.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
269×log1p-expm1-u
269×expm1-log1p-u
264×add-exp-log
255×add-log-exp
255×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035418
1596335
Stop Event
node limit
Counts
16 → 470
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))
(*.f64 z y)
(-.f64 x (*.f64 z y))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 z)
(-.f64 (*.f64 x (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(*.f64 x (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (cos.f64 y) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))
(sqrt.f64 (exp.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
Outputs
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(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) #s(literal 1 binary64))
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(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (cbrt.f64 (exp.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(*.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1/4 binary64)) (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (exp.f64 (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (exp.f64 (cos.f64 y)))))
(pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y)) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(fabs.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))))
(cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(exp.f64 (*.f64 (cos.f64 y) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (cos.f64 y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (cos.f64 y)))
(*.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
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(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (exp.f64 (cos.f64 y))))
(*.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1/4 binary64)) (sqrt.f64 (exp.f64 (cos.f64 y)))))
(*.f64 (*.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1/4 binary64))) (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) (cbrt.f64 (exp.f64 (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(/.f64 (exp.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64))) (exp.f64 #s(literal 1 binary64)))
(pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
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(pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (cos.f64 y))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (cbrt.f64 (cos.f64 y)))
(pow.f64 (exp.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 (cos.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 (cos.f64 y)))))
(cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))
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simplify338.0ms (3.7%)

Algorithm
egg-herbie
Rules
416×distribute-rgt-in
397×distribute-lft-in
336×+-commutative
245×associate-+r+
242×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0111416254
1281816254
Stop Event
node limit
Counts
774 → 496
Calls
Call 1
Inputs
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x
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(*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (+.f64 (*.f64 #s(literal 1/6 binary64) z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) z) (*.f64 #s(literal 1/120 binary64) z)))))))))
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(/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (cos.f64 y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (cos.f64 y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (cos.f64 y) #s(literal 0 binary64)))
(pow.f64 (cos.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 y) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 y)) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(+.f64 (log.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1/4 binary64))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 y)))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 y))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y))) (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (cbrt.f64 (exp.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(*.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1/4 binary64)) (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (exp.f64 (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (exp.f64 (cos.f64 y)))))
(pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y)) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(fabs.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))
(log.f64 (exp.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))))
(cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(exp.f64 (*.f64 (cos.f64 y) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (cos.f64 y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (cos.f64 y)))
(*.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) (sqrt.f64 (exp.f64 (cos.f64 y))))
(*.f64 (exp.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (sqrt.f64 (exp.f64 (cos.f64 y)))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (exp.f64 (cos.f64 y))))
(*.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1/4 binary64)) (sqrt.f64 (exp.f64 (cos.f64 y)))))
(*.f64 (*.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1/4 binary64))) (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) (cbrt.f64 (exp.f64 (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(/.f64 (exp.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64))) (exp.f64 #s(literal 1 binary64)))
(pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (cos.f64 y))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (cbrt.f64 (cos.f64 y)))
(pow.f64 (exp.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 (cos.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 (cos.f64 y)))))
(cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 y))))
Outputs
(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 x (-.f64 (+.f64 (cos.f64 y) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) x))) (/.f64 (*.f64 z (sin.f64 y)) x)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 x (-.f64 (+.f64 (cos.f64 y) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) x))) (/.f64 (*.f64 z (sin.f64 y)) x)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 x (-.f64 (+.f64 (cos.f64 y) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) x))) (/.f64 (*.f64 z (sin.f64 y)) x)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y))) x)))))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y))) x)))))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y))) x)))))
(neg.f64 (*.f64 z (sin.f64 y)))
x
(neg.f64 (*.f64 z (sin.f64 y)))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z))) z)))
(neg.f64 (*.f64 z (sin.f64 y)))
(+.f64 x (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z)))) z)))
(neg.f64 (*.f64 z (sin.f64 y)))
(+.f64 x (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/6 binary64) z))) (*.f64 #s(literal -1/6 binary64) z)))))) z)))
(neg.f64 (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(neg.f64 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y)))) (sin.f64 y))))
(neg.f64 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y)))) (sin.f64 y))))
(neg.f64 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y)))) (sin.f64 y))))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y)))) (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y)))) (/.f64 (*.f64 x (cos.f64 y)) z)) (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y)))) (/.f64 (*.f64 x (cos.f64 y)) z)) (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y)))) (/.f64 (*.f64 x (cos.f64 y)) z)) (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y)))) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y))))) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y))))) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
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(neg.f64 (*.f64 z (sin.f64 y)))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 y)))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))))
(neg.f64 (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y)))) #s(literal 1 binary64))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y)) #s(literal 1 binary64))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 y))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y))) (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y)) #s(literal 2 binary64))))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(neg.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y)) #s(literal 1 binary64))
(neg.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y))) #s(literal 3 binary64))
(neg.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y))) #s(literal 2 binary64))
(neg.f64 (*.f64 z (sin.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y)) #s(literal 2 binary64)))
(neg.f64 (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y)) #s(literal 3 binary64)))
(neg.f64 (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(neg.f64 (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(neg.f64 (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(neg.f64 (*.f64 z (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y))) #s(literal 1 binary64)))
(neg.f64 (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))) #s(literal 1 binary64))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 (cos.f64 y))))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) #s(literal 1 binary64))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (cbrt.f64 (exp.f64 (cos.f64 y))))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1/4 binary64)) (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (exp.f64 (cos.f64 y))))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (exp.f64 (cos.f64 y)))))
(neg.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1/2 binary64))
(neg.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) #s(literal 1 binary64))
(neg.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) #s(literal 3 binary64))
(neg.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y)) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(neg.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(neg.f64 (*.f64 z (sin.f64 y)))
(fabs.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))
(neg.f64 (*.f64 z (sin.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(neg.f64 (*.f64 z (sin.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))))
(neg.f64 (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 3/2 binary64)))
(neg.f64 (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(neg.f64 (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(neg.f64 (*.f64 z (sin.f64 y)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(exp.f64 (*.f64 (cos.f64 y) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (cos.f64 y)))) #s(literal 1 binary64))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 #s(literal 1 binary64) (exp.f64 (cos.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) (sqrt.f64 (exp.f64 (cos.f64 y))))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (exp.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 2 binary64))))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (sqrt.f64 (exp.f64 (cos.f64 y)))))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (exp.f64 (cos.f64 y))))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1/4 binary64)) (sqrt.f64 (exp.f64 (cos.f64 y)))))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1/4 binary64))) (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) (cbrt.f64 (exp.f64 (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(neg.f64 (*.f64 z (sin.f64 y)))
(/.f64 (exp.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64))) (exp.f64 #s(literal 1 binary64)))
(neg.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(neg.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) #s(literal 2 binary64))
(neg.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) #s(literal 3 binary64))
(neg.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(neg.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (cos.f64 y))
(neg.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (cbrt.f64 (cos.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (exp.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 2 binary64)))
(neg.f64 (*.f64 z (sin.f64 y)))
(log.f64 (exp.f64 (exp.f64 (cos.f64 y))))
(neg.f64 (*.f64 z (sin.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 (cos.f64 y)))))
(neg.f64 (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 3 binary64)))
(neg.f64 (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))
(neg.f64 (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 y))))
(neg.f64 (*.f64 z (sin.f64 y)))

eval261.0ms (2.8%)

Compiler

Compiled 21487 to 2861 computations (86.7% saved)

prune250.0ms (2.7%)

Pruning

30 alts after pruning (25 fresh and 5 done)

PrunedKeptTotal
New9139922
Fresh31619
Picked325
Done033
Total91930949
Accuracy
100.0%
Counts
949 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.1%
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))
33.0%
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
66.2%
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64))
99.5%
(-.f64 (+.f64 (*.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) x) (*.f64 #s(literal -1 binary64) x)) (*.f64 z (sin.f64 y)))
99.6%
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64)))) (*.f64 z (sin.f64 y)))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
73.8%
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
52.0%
(-.f64 x (*.f64 z y))
34.4%
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
41.2%
(+.f64 (*.f64 y z) x)
50.5%
(+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))
50.9%
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))
33.9%
(*.f64 (sin.f64 y) (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z))))
34.4%
(*.f64 (sin.f64 y) (neg.f64 z))
42.9%
(*.f64 z (-.f64 (/.f64 x z) y))
83.9%
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
37.3%
(*.f64 y (-.f64 (/.f64 x y) z))
13.4%
(*.f64 y (neg.f64 z))
67.2%
(*.f64 x (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)))
90.6%
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
49.0%
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)))))
92.1%
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)))))
52.7%
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (*.f64 y (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) x))))))
49.8%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y x))))
46.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1/2 binary64))) (/.f64 z x)))))
47.4%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))))
26.7%
(*.f64 x (*.f64 z (/.f64 (sin.f64 y) (neg.f64 x))))
67.4%
(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
67.5%
(*.f64 x (cos.f64 y))
42.2%
x
Compiler

Compiled 761 to 517 computations (32.1% saved)

simplify86.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff-128
(cos.f64 y)
cost-diff-128
(*.f64 x (cos.f64 y))
cost-diff0
(sqrt.f64 (*.f64 x (cos.f64 y)))
cost-diff12864
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) (/.f64 z x))
cost-diff0
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
cost-diff128
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
cost-diff0
(/.f64 z x)
cost-diff0
(*.f64 y #s(literal -1/2 binary64))
cost-diff0
(-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x))
cost-diff0
(*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 y (neg.f64 z))
cost-diff0
(+.f64 (cos.f64 y) #s(literal -1 binary64))
cost-diff256
(+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64)))
cost-diff256
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64))))
cost-diff256
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64)))) (*.f64 z (sin.f64 y)))
Rules
719×fma-neg
429×unsub-neg
383×sub-neg
371×times-frac
325×distribute-neg-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
035680
185618
2185564
3518564
41637558
53637558
66766558
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64)))) (*.f64 z (sin.f64 y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64))))
x
(+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64)))
#s(literal 1 binary64)
(+.f64 (cos.f64 y) #s(literal -1 binary64))
(cos.f64 y)
y
#s(literal -1 binary64)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(*.f64 y (neg.f64 z))
y
(neg.f64 z)
z
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))))
x
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x))))
#s(literal 1 binary64)
(*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))
y
(-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x))
(*.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 z x)
z
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
x
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
(cos.f64 y)
y
(*.f64 (sin.f64 y) (/.f64 z x))
(sin.f64 y)
(/.f64 z x)
z
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
#s(literal 2 binary64)
Outputs
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64)))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64))))
(*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)))
(*.f64 x (cos.f64 y))
x
(+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64)))
(+.f64 (cos.f64 y) #s(literal 0 binary64))
(cos.f64 y)
#s(literal 1 binary64)
(+.f64 (cos.f64 y) #s(literal -1 binary64))
(cos.f64 y)
(+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64)))
(+.f64 (cos.f64 y) #s(literal 0 binary64))
y
#s(literal -1 binary64)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(*.f64 y (neg.f64 z))
y
(neg.f64 z)
z
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))))
(*.f64 x (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)) #s(literal 1 binary64)))
(fma.f64 y (-.f64 (*.f64 x (*.f64 y #s(literal -1/2 binary64))) z) x)
x
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x))))
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))
y
(-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x))
(*.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 z x)
z
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64)))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
x
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(cos.f64 y)
(+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64)))
(+.f64 (cos.f64 y) #s(literal 0 binary64))
y
(*.f64 (sin.f64 y) (/.f64 z x))
(*.f64 z (/.f64 (sin.f64 y) x))
(sin.f64 y)
(/.f64 z x)
z
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64))))
(*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)))
(*.f64 x (cos.f64 y))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64))))
(*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)))
x
(cos.f64 y)
(+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64)))
(+.f64 (cos.f64 y) #s(literal 0 binary64))
y
#s(literal 2 binary64)

localize308.0ms (3.3%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 y)
accuracy99.9%
(sqrt.f64 (*.f64 x (cos.f64 y)))
accuracy99.9%
(*.f64 x (cos.f64 y))
accuracy99.6%
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
accuracy100.0%
(cos.f64 y)
accuracy100.0%
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
accuracy98.8%
(*.f64 (sin.f64 y) (/.f64 z x))
accuracy95.9%
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
accuracy100.0%
(*.f64 y #s(literal -1/2 binary64))
accuracy100.0%
(-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x))
accuracy98.8%
(*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))
accuracy94.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))))
accuracy100.0%
(*.f64 y (neg.f64 z))
accuracy100.0%
(neg.f64 z)
accuracy99.9%
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64))))
accuracy99.9%
(*.f64 z (sin.f64 y))
accuracy99.6%
(+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64)))
accuracy88.9%
(+.f64 (cos.f64 y) #s(literal -1 binary64))
Results
119.0ms59×1valid
103.0ms123×0invalid
31.0ms74×0valid
Compiler

Compiled 164 to 29 computations (82.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-mult: 52.0ms (54.9% of total)
ival-add: 9.0ms (9.5% of total)
ival-cos: 9.0ms (9.5% of total)
ival-sin: 6.0ms (6.3% of total)
ival-sub: 5.0ms (5.3% of total)
backward-pass: 4.0ms (4.2% of total)
ival-div: 3.0ms (3.2% of total)
ival-pow: 3.0ms (3.2% of total)
ival-sqrt: 2.0ms (2.1% of total)
const: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)

series39.0ms (0.4%)

Counts
15 → 368
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64)))) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64)))>
#<alt (+.f64 (cos.f64 y) #s(literal -1 binary64))>
#<alt (*.f64 y (neg.f64 z))>
#<alt (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))>
#<alt (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x))>
#<alt (*.f64 y #s(literal -1/2 binary64))>
#<alt (/.f64 z x)>
#<alt (*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))>
#<alt (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))>
#<alt (*.f64 (sin.f64 y) (/.f64 z x))>
#<alt (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))>
#<alt (sqrt.f64 (*.f64 x (cos.f64 y)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) z)))>
#<alt (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/24 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) x))))))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/40320 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)))>
#<alt (-.f64 (cos.f64 y) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 y) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 y) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 y) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 y) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 y) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 y) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 y) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1/2 binary64) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1/2 binary64) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1/2 binary64) y)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)) (/.f64 y x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)) (/.f64 y x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)) (/.f64 y x))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) x)>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 z x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 z x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 z x))>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1/2 binary64)))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (*.f64 y z) x))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))))>
#<alt (+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal -1/2 binary64) x)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal -1/2 binary64) x)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 x y))) y)) (*.f64 #s(literal -1/2 binary64) x)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 x y))) y)) (*.f64 #s(literal -1/2 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))) z)))))>
Calls

102 calls:

TimeVariablePointExpression
2.0ms
z
@0
(* y (- (* y -1/2) (/ z x)))
1.0ms
x
@-inf
(pow (sqrt (* x (cos y))) 2)
1.0ms
y
@-inf
(* (sin y) (/ z x))
1.0ms
y
@0
(* y (- (* y -1/2) (/ z x)))
1.0ms
y
@inf
(* y (- (* y -1/2) (/ z x)))

rewrite142.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
266×log1p-expm1-u
266×expm1-log1p-u
264×associate-*r*
261×add-cube-cbrt
259×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035422
1594380
Stop Event
node limit
Counts
15 → 439
Calls
Call 1
Inputs
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64)))) (*.f64 z (sin.f64 y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64)))
(+.f64 (cos.f64 y) #s(literal -1 binary64))
(*.f64 y (neg.f64 z))
(*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))
(-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x))
(*.f64 y #s(literal -1/2 binary64))
(/.f64 z x)
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
(*.f64 (sin.f64 y) (/.f64 z x))
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))))
Outputs
(+.f64 x (+.f64 (*.f64 (+.f64 (cos.f64 y) #s(literal -1 binary64)) x) (*.f64 z (sin.f64 y))))
(+.f64 x (+.f64 (*.f64 x (+.f64 (cos.f64 y) #s(literal -1 binary64))) (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (*.f64 (+.f64 (cos.f64 y) #s(literal -1 binary64)) x) (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (*.f64 x (+.f64 (cos.f64 y) #s(literal -1 binary64))) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64))) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) (+.f64 (+.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (neg.f64 (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))) (fma.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64))) (neg.f64 (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))) (fma.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (+.f64 (cos.f64 y) #s(literal 0 binary64)) x (neg.f64 (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))) (fma.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)))) (neg.f64 (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))) (fma.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)))) (sqrt.f64 (*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)))) (neg.f64 (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))) (fma.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))
(+.f64 (*.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 x (*.f64 z (sin.f64 y)))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 x (*.f64 z (sin.f64 y))))) (-.f64 (pow.f64 (*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 x (*.f64 z (sin.f64 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))))) (-.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)))))
(pow.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)))
(fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64))) (*.f64 z (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (cos.f64 y) #s(literal 0 binary64)) x (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)))) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (fma.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)))) (sqrt.f64 (*.f64 x (+.f64 (cos.f64 y) #s(literal 0 binary64)))) (*.f64 z (sin.f64 y)))
(+.f64 x (*.f64 x (+.f64 (cos.f64 y) #s(literal -1 binary64))))
(+.f64 x (*.f64 (+.f64 (cos.f64 y) #s(literal -1 binary64)) x))
(+.f64 x (*.f64 (*.f64 (+.f64 (cos.f64 y) #s(literal -1 binary64)) x) #s(literal 1 binary64)))
(+.f64 x (*.f64 (*.f64 x (+.f64 (cos.f64 y) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (+.f64 (cos.f64 y) #s(literal -1 binary64))) x)
(+.f64 (*.f64 (+.f64 (cos.f64 y) #s(literal -1 binary64)) x) x)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 y))) (*.f64 x #s(literal -1 binary64)))
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(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 z x))) #s(literal 2 binary64))
(neg.f64 (*.f64 (sin.f64 y) (/.f64 z x)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 y) (/.f64 z x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 z x))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 z x))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 z x))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 z x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 z x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) #s(literal 1 binary64))
(*.f64 x (cos.f64 y))
(*.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 y)) x))
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) (sqrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x))
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) x)
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 y)))
(*.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (cbrt.f64 (*.f64 x (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 x)) (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (cos.f64 y))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 x (cos.f64 y))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x (cos.f64 y))))))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) #s(literal 1 binary64)))
(+.f64 x (*.f64 x (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)))))
(+.f64 x (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) x)))
(+.f64 x (*.f64 (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) x)) #s(literal 1 binary64)))
(+.f64 x (*.f64 (*.f64 x (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)))) x)
(+.f64 (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) x)) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) x)) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) x))) (*.f64 x (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) x))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)))) (*.f64 x (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x))))) (*.f64 x (*.f64 x (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x))))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) x)) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) x)))) (-.f64 x (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)))) (*.f64 x (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)))))) (-.f64 x (*.f64 x (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x))))))
(pow.f64 (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)))))
(fma.f64 #s(literal 1 binary64) x (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) x)))

simplify255.0ms (2.8%)

Algorithm
egg-herbie
Rules
801×fma-define
391×*-commutative
292×distribute-lft-in
290×distribute-rgt-in
249×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0117130235
1295128006
Stop Event
node limit
Counts
807 → 745
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (cos.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) z)))
(+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
x
(+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/24 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) x))))))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/40320 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)))
(-.f64 (cos.f64 y) #s(literal 1 binary64))
(-.f64 (cos.f64 y) #s(literal 1 binary64))
(-.f64 (cos.f64 y) #s(literal 1 binary64))
(-.f64 (cos.f64 y) #s(literal 1 binary64))
(-.f64 (cos.f64 y) #s(literal 1 binary64))
(-.f64 (cos.f64 y) #s(literal 1 binary64))
(-.f64 (cos.f64 y) #s(literal 1 binary64))
(-.f64 (cos.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
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(/.f64 (neg.f64 (pow.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))) #s(literal 2 binary64))) (neg.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))))
(pow.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))))
(exp.f64 (log.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) (/.f64 z x)))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) (/.f64 z x)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) (/.f64 z x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 z x)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (sin.f64 y) (/.f64 x z))
(/.f64 (*.f64 z (sin.f64 y)) x)
(/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 x z))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 z x))) #s(literal 2 binary64))
(neg.f64 (*.f64 (sin.f64 y) (/.f64 z x)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 y) (/.f64 z x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 z x))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 z x))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 z x))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 z x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 z x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) #s(literal 1 binary64))
(*.f64 x (cos.f64 y))
(*.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 y)) x))
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) (sqrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x))
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) x)
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 y)))
(*.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (cbrt.f64 (*.f64 x (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 x)) (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (cos.f64 y))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 x (cos.f64 y))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x (cos.f64 y))))))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) #s(literal 1 binary64)))
(+.f64 x (*.f64 x (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)))))
(+.f64 x (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) x)))
(+.f64 x (*.f64 (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) x)) #s(literal 1 binary64)))
(+.f64 x (*.f64 (*.f64 x (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)))) x)
(+.f64 (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) x)) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) x)) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) x))) (*.f64 x (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) x))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)))) (*.f64 x (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x))))) (*.f64 x (*.f64 x (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x))))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) x)) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) x)))) (-.f64 x (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)))) (*.f64 x (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)))))) (-.f64 x (*.f64 x (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x))))))
(pow.f64 (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)))))
(fma.f64 #s(literal 1 binary64) x (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) x)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 x (cos.f64 y))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(*.f64 x (cos.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 z y))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) z)))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) (neg.f64 z)) x)
(+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))
(+.f64 x (*.f64 y (-.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 z y) #s(literal 1/6 binary64)))) z)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal 1/6 binary64))) (neg.f64 z)) x)
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
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(*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) x)))
(fma.f64 y (*.f64 x (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x))) x)
(*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) x)))
(fma.f64 y (*.f64 x (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x))) x)
(*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) x)))
(fma.f64 y (*.f64 x (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x))) x)
(*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z x)) #s(literal 1 binary64)))

eval145.0ms (1.6%)

Compiler

Compiled 17709 to 3557 computations (79.9% saved)

prune347.0ms (3.8%)

Pruning

35 alts after pruning (28 fresh and 7 done)

PrunedKeptTotal
New1001111012
Fresh31720
Picked325
Done055
Total1007351042
Accuracy
100.0%
Counts
1042 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.1%
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))
66.2%
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64))
99.5%
(-.f64 (+.f64 (*.f64 (+.f64 (cos.f64 y) #s(literal -1 binary64)) x) x) (*.f64 z (sin.f64 y)))
99.5%
(-.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)) x) (neg.f64 x)) (*.f64 z (sin.f64 y)))
67.6%
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64)))) (*.f64 z y))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
73.8%
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
52.0%
(-.f64 x (*.f64 z y))
34.4%
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
41.2%
(+.f64 (*.f64 y z) x)
50.5%
(+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))
50.9%
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))
33.9%
(*.f64 (sin.f64 y) (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z))))
34.4%
(*.f64 (sin.f64 y) (neg.f64 z))
42.9%
(*.f64 z (-.f64 (/.f64 x z) y))
83.9%
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
3.1%
(*.f64 z y)
37.3%
(*.f64 y (-.f64 (/.f64 x y) z))
13.4%
(*.f64 y (neg.f64 z))
67.2%
(*.f64 x (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)))
90.5%
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (sin.f64 y) (/.f64 x z))))
90.2%
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 3 binary64)))))
52.7%
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (*.f64 y (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) x))))))
49.8%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y x))))
48.5%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (neg.f64 z) x))))
46.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1/2 binary64))) (/.f64 z x)))))
47.4%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))))
40.1%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))))
37.2%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1/2 binary64))))))
40.7%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))
25.2%
(*.f64 x (*.f64 (sin.f64 y) (/.f64 (neg.f64 z) x)))
26.7%
(*.f64 x (*.f64 z (/.f64 (sin.f64 y) (neg.f64 x))))
67.4%
(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
67.5%
(*.f64 x (cos.f64 y))
42.2%
x
Compiler

Compiled 1176 to 522 computations (55.6% saved)

regimes86.0ms (0.9%)

Counts
58 → 1
Calls
Call 1
Inputs
x
(*.f64 z y)
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 y z) x)
(-.f64 x (*.f64 z y))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (neg.f64 z) x))))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1/2 binary64))))))
(+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1/2 binary64))) (/.f64 z x)))))
(*.f64 x (cos.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 x (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(*.f64 x (*.f64 z (/.f64 (sin.f64 y) (neg.f64 x))))
(*.f64 x (*.f64 (sin.f64 y) (/.f64 (neg.f64 z) x)))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64)))) (*.f64 z y))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (sin.f64 y) (/.f64 x z))))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)))))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64)))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 (+.f64 (cos.f64 y) #s(literal -1 binary64)) x) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)) x) (neg.f64 x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) x) (*.f64 #s(literal -1 binary64) x)) (*.f64 z (sin.f64 y)))
(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
(*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y))))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (*.f64 y (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 x (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y))))))
(*.f64 (sin.f64 y) (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z))))
(-.f64 (*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64)) (*.f64 z (sin.f64 y)))
(-.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 3 binary64)))))
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))) (*.f64 z (sin.f64 y)))
(fma.f64 z (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y))))) (*.f64 x (cos.f64 y)))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 z (sin.f64 y))))
Outputs
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
Calls

4 calls:

26.0ms
y
21.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
18.0ms
x
17.0ms
z
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes121.0ms (1.3%)

Counts
39 → 1
Calls
Call 1
Inputs
x
(*.f64 z y)
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 y z) x)
(-.f64 x (*.f64 z y))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (neg.f64 z) x))))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1/2 binary64))))))
(+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1/2 binary64))) (/.f64 z x)))))
(*.f64 x (cos.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 x (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(*.f64 x (*.f64 z (/.f64 (sin.f64 y) (neg.f64 x))))
(*.f64 x (*.f64 (sin.f64 y) (/.f64 (neg.f64 z) x)))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64)))) (*.f64 z y))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (sin.f64 y) (/.f64 x z))))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)))))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64)))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 (+.f64 (cos.f64 y) #s(literal -1 binary64)) x) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)) x) (neg.f64 x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) x) (*.f64 #s(literal -1 binary64) x)) (*.f64 z (sin.f64 y)))
(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
(*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y))))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

83.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
12.0ms
z
12.0ms
x
11.0ms
y
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes25.0ms (0.3%)

Counts
24 → 3
Calls
Call 1
Inputs
x
(*.f64 z y)
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 y z) x)
(-.f64 x (*.f64 z y))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (neg.f64 z) x))))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1/2 binary64))))))
(+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1/2 binary64))) (/.f64 z x)))))
(*.f64 x (cos.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 x (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(*.f64 x (*.f64 z (/.f64 (sin.f64 y) (neg.f64 x))))
(*.f64 x (*.f64 (sin.f64 y) (/.f64 (neg.f64 z) x)))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) #s(literal -1 binary64)))) (*.f64 z y))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x #s(literal 1 binary64)))
Outputs
(*.f64 x (cos.f64 y))
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
Calls

3 calls:

8.0ms
y
7.0ms
x
7.0ms
z
Results
AccuracySegmentsBranch
88.2%3x
82.8%3y
88.1%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes21.0ms (0.2%)

Counts
19 → 3
Calls
Call 1
Inputs
x
(*.f64 z y)
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 y z) x)
(-.f64 x (*.f64 z y))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (neg.f64 z) x))))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1/2 binary64))))))
(+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1/2 binary64))) (/.f64 z x)))))
(*.f64 x (cos.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 x (-.f64 (+.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)))
Outputs
(*.f64 x (cos.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 x (cos.f64 y))
Calls

3 calls:

7.0ms
x
6.0ms
y
6.0ms
z
Results
AccuracySegmentsBranch
84.1%6y
79.3%3z
82.7%3x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes19.0ms (0.2%)

Counts
17 → 3
Calls
Call 1
Inputs
x
(*.f64 z y)
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 y z) x)
(-.f64 x (*.f64 z y))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (neg.f64 z) x))))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1/2 binary64))))))
(+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1/2 binary64))) (/.f64 z x)))))
(*.f64 x (cos.f64 y))
Outputs
(*.f64 x (cos.f64 y))
(+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))
(*.f64 x (cos.f64 y))
Calls

3 calls:

7.0ms
z
5.0ms
x
5.0ms
y
Results
AccuracySegmentsBranch
74.2%3z
77.8%3y
72.6%3x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes16.0ms (0.2%)

Counts
16 → 1
Calls
Call 1
Inputs
x
(*.f64 z y)
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 y z) x)
(-.f64 x (*.f64 z y))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (neg.f64 z) x))))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1/2 binary64))))))
(+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1/2 binary64))) (/.f64 z x)))))
Outputs
(-.f64 x (*.f64 z y))
Calls

3 calls:

5.0ms
x
5.0ms
z
5.0ms
y
Results
AccuracySegmentsBranch
52.0%1x
52.0%1z
52.0%1y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
x
(*.f64 z y)
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 y z) x)
Outputs
x
(*.f64 y (neg.f64 z))
x
Calls

3 calls:

4.0ms
z
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
42.2%1y
45.4%3x
42.2%1z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Accuracy

Total -25.5b remaining (-69%)

Threshold costs -25.5b (-69%)

Counts
2 → 1
Calls
Call 1
Inputs
x
(*.f64 z y)
Outputs
x
Calls

2 calls:

2.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
42.2%1y
42.2%1x
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch39.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
1.8216339307252233e-59
8.604957605677509e-59
22.0ms
-1.5675119718464658e+47
-1.524372370907329e+33
Results
28.0ms256×0valid
Compiler

Compiled 338 to 253 computations (25.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-cos: 7.0ms (35.4% of total)
ival-sin: 7.0ms (35.4% of total)
ival-mult: 4.0ms (20.2% of total)
ival-sub: 1.0ms (5.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch40.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.8216339307252233e-59
8.604957605677509e-59
19.0ms
-7.318028729364472e-69
-2.4741009283976876e-71
Results
24.0ms224×0valid
Compiler

Compiled 256 to 195 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sin: 6.0ms (36.3% of total)
ival-cos: 5.0ms (30.3% of total)
ival-mult: 4.0ms (24.2% of total)
ival-sub: 1.0ms (6.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
6.630810490147189e-43
3.0781940554999047e-33
14.0ms
-17.58495345803639
-0.0004121407569104337
Results
23.0ms288×0valid
Compiler

Compiled 540 to 373 computations (30.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sub: 5.0ms (35.1% of total)
ival-mult: 4.0ms (28.1% of total)
ival-cos: 3.0ms (21% of total)
ival-sin: 2.0ms (14% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch32.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.8216339307252233e-59
8.604957605677509e-59
15.0ms
-1.2824773617964314e-224
-6.139642719087312e-226
Results
24.0ms208×0valid
Compiler

Compiled 187 to 143 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sin: 8.0ms (47.5% of total)
ival-cos: 5.0ms (29.7% of total)
ival-mult: 3.0ms (17.8% of total)
ival-sub: 1.0ms (5.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
15×*-commutative
11×+-commutative
sub-neg
if-if-or-not
cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063414
1114414
2134414
3142414
4146414
5147414
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -199999999999999993726732215835951104 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 4805824016197205/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 x #s(literal -8081502591659033/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 3618502788666131/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -1116892707587883/18014398509481984 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 2228789996929627/730750818665451459101842416358141509827966271488 binary64)) (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z))) (*.f64 x (cos.f64 y))))
(-.f64 x (*.f64 z y))
(if (<=.f64 x #s(literal -5001010824659891/416750902054990892129990736920078612321547395144744260024766113235252327363602004470089512554472143171433119412089577527868050103382460317522709753270676877880947348719625909903942392869488376545560313508492912623855671752342278830697742336 binary64)) x (if (<=.f64 x #s(literal 6671614516603179/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) (*.f64 y (neg.f64 z)) x))
x
Outputs
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -199999999999999993726732215835951104 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 4805824016197205/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (or (<=.f64 x #s(literal -199999999999999993726732215835951104 binary64)) (not (<=.f64 x #s(literal 4805824016197205/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)))) (*.f64 x (cos.f64 y)) (-.f64 x (*.f64 z (sin.f64 y))))
(if (<=.f64 x #s(literal -8081502591659033/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 3618502788666131/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 x (cos.f64 y))))
(if (or (<=.f64 x #s(literal -8081502591659033/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (not (<=.f64 x #s(literal 3618502788666131/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)))) (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(if (or (<=.f64 x #s(literal -8081502591659033/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (not (<=.f64 x #s(literal 3618502788666131/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)))) (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(if (<=.f64 y #s(literal -1116892707587883/18014398509481984 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 2228789996929627/730750818665451459101842416358141509827966271488 binary64)) (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z))) (*.f64 x (cos.f64 y))))
(if (or (<=.f64 y #s(literal -1116892707587883/18014398509481984 binary64)) (not (<=.f64 y #s(literal 2228789996929627/730750818665451459101842416358141509827966271488 binary64)))) (*.f64 x (cos.f64 y)) (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 z y)))) z))))
(-.f64 x (*.f64 z y))
(if (<=.f64 x #s(literal -5001010824659891/416750902054990892129990736920078612321547395144744260024766113235252327363602004470089512554472143171433119412089577527868050103382460317522709753270676877880947348719625909903942392869488376545560313508492912623855671752342278830697742336 binary64)) x (if (<=.f64 x #s(literal 6671614516603179/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) (*.f64 y (neg.f64 z)) x))
x

soundness374.0ms (4%)

Rules
671×fma-neg
489×fma-define
419×cancel-sign-sub-inv
350×fma-neg
314×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062619186
1138417987
2433316882
043453
1111417
2211417
3468417
4925417
51420417
61774417
72107417
82142417
92157417
Stop Event
fuel
saturated
node limit
Compiler

Compiled 238 to 99 computations (58.4% saved)

preprocess56.0ms (0.6%)

Compiler

Compiled 240 to 120 computations (50% saved)

end0.0ms (0%)

Profiling

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