Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, B

Time bar (total: 10.4s)

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
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 11 to 10 computations (9.1% saved)

sample1.1s (11%)

Memory
13.4MiB live, 1 765.4MiB allocated
Samples
853.0ms8 252×0valid
2.0ms3valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 614.0ms
ival-cos: 289.0ms (47.1% of total)
ival-sin: 172.0ms (28% of total)
ival-mult: 60.0ms (9.8% of total)
ival-add: 44.0ms (7.2% of total)
ival-sub: 40.0ms (6.5% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
adjust: 0.0ms (0% of total)
Bogosity

preprocess74.0ms (0.7%)

Memory
1.4MiB live, 75.4MiB allocated
Algorithm
egg-herbie
Rules
400×lower-fma.f64
400×lower-fma.f32
358×sub-neg
352×cancel-sign-sub-inv
302×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03590
110184
224883
358383
4115183
5153083
6181483
7206983
8209283
089
0139
1229
2429
3669
4979
51519
62649
73989
84809
95289
105589
05589
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))

explain131.0ms (1.3%)

Memory
1.3MiB live, 271.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 x (cos.f64 y))
00-0-(sin.f64 y)
00-0-y
00-0-z
00-0-(cos.f64 y)
00-0-(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.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
Samples
52.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-sin: 12.0ms (34% of total)
ival-cos: 11.0ms (31.2% of total)
ival-mult: 8.0ms (22.7% of total)
ival-add: 3.0ms (8.5% of total)
ival-sub: 2.0ms (5.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify23.0ms (0.2%)

Memory
5.8MiB live, 44.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
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
400×lower-fma.f64
400×lower-fma.f32
160×lower-*.f32
158×lower-*.f64
120×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01324
12224
24224
36624
49724
515124
626424
739824
848024
952824
1055824
055824
Stop Event
iter limit
saturated
iter limit
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)
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)

localize41.0ms (0.4%)

Memory
-21.2MiB live, 71.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 y)
accuracy100.0%
(+.f64 x (cos.f64 y))
accuracy100.0%
(sin.f64 y)
accuracy99.8%
(*.f64 z (sin.f64 y))
Samples
33.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-cos: 15.0ms (59.2% of total)
ival-sin: 5.0ms (19.7% of total)
ival-mult: 2.0ms (7.9% of total)
ival-sub: 1.0ms (3.9% of total)
ival-add: 1.0ms (3.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
15.8MiB live, 15.8MiB allocated
Counts
5 → 108
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 (sin.f64 y)>
Outputs
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (+ x (cos y))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (cos y)>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt x>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))>
#<alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
Calls

27 calls:

TimeVariablePointExpression
1.0ms
x
@0
(- (+ x (cos y)) (* z (sin y)))
1.0ms
z
@0
(* z (sin y))
0.0ms
y
@inf
(- (+ x (cos y)) (* z (sin y)))
0.0ms
z
@0
(- (+ x (cos y)) (* z (sin y)))
0.0ms
y
@-inf
(- (+ x (cos y)) (* z (sin y)))

rewrite331.0ms (3.2%)

Memory
0.1MiB live, 507.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 620×lower-*.f32
4 618×lower-*.f64
4 548×lower-fma.f64
4 548×lower-fma.f32
2 418×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
01321
14721
238821
3563021
0822521
Stop Event
iter limit
node limit
iter limit
Counts
5 → 188
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))
(sin.f64 y)
Outputs
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)
(+.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))
(+.f64 (fma.f64 (sin.f64 y) (neg.f64 z) x) (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) #s(literal -1 binary64)))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y))))
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (+.f64 (+.f64 x (cos.f64 y)) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))
(-.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))))
(fma.f64 (+.f64 x (cos.f64 y)) (*.f64 (-.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (+.f64 x (cos.f64 y)) (/.f64 (-.f64 x (cos.f64 y)) (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (+.f64 x (cos.f64 y)) (/.f64 (+.f64 x (cos.f64 y)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))
(fma.f64 (+.f64 x (cos.f64 y)) (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64) (+.f64 x (cos.f64 y)))
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (*.f64 (+.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (/.f64 (+.f64 x (cos.f64 y)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))
(fma.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (+.f64 x (cos.f64 y)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))))
(fma.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))
(fma.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) (*.f64 (sin.f64 y) (neg.f64 z)))
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(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (*.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (*.f64 (-.f64 x (cos.f64 y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (*.f64 (-.f64 x (cos.f64 y)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (*.f64 (-.f64 x (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 x (cos.f64 y)) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (-.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 x (cos.f64 y))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 x (cos.f64 y)))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 x (cos.f64 y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (cos.f64 y)))))
(/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x (cos.f64 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (-.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(pow.f64 (+.f64 x (cos.f64 y)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (+.f64 x (cos.f64 y)) (*.f64 (-.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))))
(*.f64 (+.f64 x (cos.f64 y)) (/.f64 (-.f64 x (cos.f64 y)) (-.f64 x (cos.f64 y))))
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))
(*.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (*.f64 (+.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))))
(*.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (/.f64 (+.f64 x (cos.f64 y)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))
(*.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))))
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (cos.f64 y)))))
(*.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (+.f64 x (cos.f64 y)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (-.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (+.f64 x (cos.f64 y)) (*.f64 x x)))
(cos.f64 y)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(sin.f64 y)

simplify489.0ms (4.7%)

Memory
5.2MiB live, 482.5MiB allocated
Algorithm
egg-herbie
Rules
12 396×lower-fma.f64
12 396×lower-fma.f32
3 376×lower-*.f64
3 376×lower-*.f32
2 858×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0118674
1334669
2869661
32601657
45310657
57449657
08079629
Stop Event
iter limit
node limit
Counts
108 → 103
Calls
Call 1
Inputs
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(cos y)
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
x
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
Outputs
(- (cos y) (* z (sin y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (+ x (* -1 (* y z))))
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(cos y)
(cos.f64 y)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
x
(* x (+ 1 (/ (cos y) x)))
(+.f64 (cos.f64 y) x)
(* x (+ 1 (/ (cos y) x)))
(+.f64 (cos.f64 y) x)
(* x (+ 1 (/ (cos y) x)))
(+.f64 (cos.f64 y) x)
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (+ x (* -1/2 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (+.f64 x #s(literal 1 binary64)))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* y z)
(*.f64 y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 (*.f64 y z) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 y (fma.f64 (*.f64 y (*.f64 y z)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) z))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)

eval59.0ms (0.6%)

Memory
-5.0MiB live, 71.8MiB allocated
Compiler

Compiled 7 422 to 622 computations (91.6% saved)

prune39.0ms (0.4%)

Memory
16.0MiB live, 97.6MiB allocated
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New27813291
Fresh000
Picked011
Done000
Total27814292
Accuracy
100.0%
Counts
292 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.4%
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
58.5%
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))
55.4%
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
64.7%
(-.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 z (sin.f64 y)))
75.4%
(-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
99.9%
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
89.2%
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
54.2%
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
67.2%
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
75.6%
(+.f64 (cos.f64 y) x)
65.3%
(+.f64 x #s(literal 1 binary64))
57.2%
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))
26.0%
(neg.f64 (*.f64 z (sin.f64 y)))
Compiler

Compiled 440 to 278 computations (36.8% saved)

simplify492.0ms (4.8%)

Memory
-20.8MiB live, 451.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
cost-diff128
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff320
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
cost-diff6592
(-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff128
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
cost-diff0
(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
cost-diff0
(fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z))
cost-diff0
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)
cost-diff128
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
cost-diff0
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
Rules
18 478×lower-fma.f32
18 466×lower-fma.f64
4 860×lower-*.f32
4 850×lower-*.f64
2 140×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033249
063245
1132244
2325244
3886244
42427242
55066240
67433240
08412231
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
x
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(literal 1 binary64)
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)
y
(fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z))
(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(*.f64 z #s(literal 1/6 binary64))
z
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
(neg.f64 z)
x
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
(-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 z z)
z
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y)))
#s(literal 1 binary64)
(fma.f64 z (sin.f64 y) (cos.f64 y))
(sin.f64 y)
(cos.f64 y)
x
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
x
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))
(-.f64 x (fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) z) #s(literal -1 binary64)))
#s(literal 1 binary64)
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)
(fma.f64 (fma.f64 y (fma.f64 (*.f64 y z) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) z) (neg.f64 y) x)
y
(fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z))
(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(*.f64 z #s(literal 1/6 binary64))
z
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
(neg.f64 z)
x
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(-.f64 x (fma.f64 z (sin.f64 y) #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) (fma.f64 z z #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
(-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 z z) (*.f64 (cos.f64 (+.f64 y y)) (fma.f64 z z #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 z (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(*.f64 z z)
z
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y)))
#s(literal 1 binary64)
(fma.f64 z (sin.f64 y) (cos.f64 y))
(sin.f64 y)
(cos.f64 y)
x

localize313.0ms (3%)

Memory
-17.0MiB live, 215.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.2%
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
accuracy87.9%
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
accuracy83.2%
(*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
accuracy80.4%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy100.0%
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(sin.f64 y)
accuracy99.8%
(*.f64 z (sin.f64 y))
accuracy100.0%
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)
accuracy99.9%
(fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z))
accuracy99.9%
(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
accuracy99.5%
(*.f64 z #s(literal 1/6 binary64))
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(sin.f64 y)
accuracy99.9%
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
accuracy99.8%
(*.f64 z (sin.f64 y))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
Samples
95.0ms128×0valid
74.0ms89×1valid
40.0ms38×2valid
1.0ms3valid
Compiler

Compiled 267 to 39 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 179.0ms
ival-div: 49.0ms (27.4% of total)
ival-cos: 33.0ms (18.4% of total)
adjust: 24.0ms (13.4% of total)
ival-add: 21.0ms (11.7% of total)
ival-sin: 20.0ms (11.2% of total)
ival-mult: 18.0ms (10.1% of total)
ival-sub: 7.0ms (3.9% of total)
const: 4.0ms (2.2% of total)
ival-neg: 1.0ms (0.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series72.0ms (0.7%)

Memory
15.5MiB live, 53.5MiB allocated
Counts
18 → 456
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))>
#<alt (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))>
#<alt (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))>
#<alt (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)>
#<alt (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z))>
#<alt (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))>
#<alt (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (sin.f64 y)>
#<alt (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))>
#<alt (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)>
#<alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))>
#<alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))>
#<alt (*.f64 z #s(literal 1/6 binary64))>
#<alt (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))>
Outputs
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (+ x (cos y))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (/ 1 (- (cos y) (* z (sin y))))>
#<alt (+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 2))) (/ 1 (- (cos y) (* z (sin y)))))>
#<alt (+ (* x (- (/ x (pow (- (cos y) (* z (sin y))) 3)) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y)))))>
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 4))) (/ 1 (pow (- (cos y) (* z (sin y))) 3)))) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y)))))>
#<alt (/ 1 x)>
#<alt (/ (- (+ 1 (/ (* z (sin y)) x)) (/ (cos y) x)) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2))) (/ (* z (sin y)) x))) (/ (cos y) x)) x)>
#<alt (/ (- (+ 1 (+ (/ (* z (sin y)) x) (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) (pow x 3)))) (+ (/ (cos y) x) (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* -1 (/ (- (* z (sin y)) (cos y)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) x)) (* z (sin y))) (cos y)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) x)) (* -1 (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))))) x)) (* z (sin y))) (cos y)) x)) 1) x))>
#<alt (/ 1 (+ 1 x))>
#<alt (+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))>
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))>
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x))) (+ (* -1/2 (/ z (pow (+ 1 x) 3))) (* 1/6 (/ z (pow (+ 1 x) 2))))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))>
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))>
#<alt (/ 1 (+ x (cos y)))>
#<alt (+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2)))>
#<alt (+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))>
#<alt (+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))>
#<alt (/ -1 (* z (sin y)))>
#<alt (/ (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)>
#<alt (/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z)>
#<alt (/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (+ (/ (cos y) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y))))))) z)>
#<alt (/ -1 (* z (sin y)))>
#<alt (* -1 (/ (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (sin y)))) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (pow (sin y) 2))) (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (sin y)))) z)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))>
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (+ x (cos y))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt 1>
#<alt (+ 1 (* -1 (* y z)))>
#<alt (+ 1 (* y (- (* -1/2 y) z)))>
#<alt (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))>
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (cos y) (* z (sin y)))>
#<alt (cos y)>
#<alt (+ (cos y) (* -1 (* z (sin y))))>
#<alt (+ (cos y) (* -1 (* z (sin y))))>
#<alt (+ (cos y) (* -1 (* z (sin y))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ (cos y) z) (sin y)))>
#<alt (* z (- (/ (cos y) z) (sin y)))>
#<alt (* z (- (/ (cos y) z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))>
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* (pow y 3) (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 3) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 3) (- (+ (* 1/6 z) (+ (/ 1 (pow y 3)) (/ x (pow y 3)))) (+ (* 1/2 (/ 1 y)) (/ z (pow y 2)))))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ z y)) 1/2) y)) (* -1/6 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2) y)) (* -1/6 z))))>
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))>
#<alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))>
#<alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))>
#<alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))))>
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))))>
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))))>
#<alt (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt x>
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))>
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))>
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* -1/2 y))))>
#<alt (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* (pow y 3) (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 3) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 3) (- (+ (* 1/6 z) (/ x (pow y 3))) (+ (* 1/2 (/ 1 y)) (/ z (pow y 2)))))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ z y)) 1/2) y)) (* -1/6 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ (+ z (* -1 (/ x y))) y)) 1/2) y)) (* -1/6 z))))>
#<alt (+ x (* -1/2 (pow y 2)))>
#<alt (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))>
#<alt (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))>
#<alt (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z))))>
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z))))>
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z))))>
#<alt (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (pow y 2))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (pow y 2))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (pow y 2))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))>
#<alt (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))>
#<alt (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))>
#<alt (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))>
#<alt x>
#<alt (* x (+ 1 (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))>
#<alt (* x (+ 1 (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))>
#<alt (* x (+ 1 (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)) 1)))>
#<alt (* -1 z)>
#<alt (- (* -1/2 y) z)>
#<alt (- (* y (- (* 1/6 (* y z)) 1/2)) z)>
#<alt (- (* y (- (* 1/6 (* y z)) 1/2)) z)>
#<alt (* 1/6 (* (pow y 2) z))>
#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))>
#<alt (* 1/6 (* (pow y 2) z))>
#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ 1/2 (/ z y)) y)) (* 1/6 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ 1/2 (/ z y)) y)) (* 1/6 z)))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1))>
#<alt (* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1))>
#<alt (* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1))>
#<alt (* -1 (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z))))))>
#<alt (* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z))))))>
#<alt (* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z))))))>
#<alt -1/2>
#<alt (- (* 1/6 (* y z)) 1/2)>
#<alt (- (* 1/6 (* y z)) 1/2)>
#<alt (- (* 1/6 (* y z)) 1/2)>
#<alt (* 1/6 (* y z))>
#<alt (* y (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* y (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* y (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* 1/6 (* y z))>
#<alt (* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y)))))>
#<alt -1/2>
#<alt (- (* 1/6 (* y z)) 1/2)>
#<alt (- (* 1/6 (* y z)) 1/2)>
#<alt (- (* 1/6 (* y z)) 1/2)>
#<alt (* 1/6 (* y z))>
#<alt (* z (- (* 1/6 y) (* 1/2 (/ 1 z))))>
#<alt (* z (- (* 1/6 y) (* 1/2 (/ 1 z))))>
#<alt (* z (- (* 1/6 y) (* 1/2 (/ 1 z))))>
#<alt (* 1/6 (* y z))>
#<alt (* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z)))))>
#<alt (- 1 (* z (sin y)))>
#<alt (- (+ 1 x) (* z (sin y)))>
#<alt (- (+ 1 x) (* z (sin y)))>
#<alt (- (+ 1 x) (* z (sin y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ 1 x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ 1 x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ 1 x)) (/ (* z (sin y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (* z (sin y))) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* z (sin y)))))>
#<alt (+ 1 (+ x (* -1 (* z (sin y)))))>
#<alt (+ 1 (+ x (* -1 (* z (sin y)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (+ (/ 1 z) (/ x z)) (sin y)))>
#<alt (* z (- (+ (/ 1 z) (/ x z)) (sin y)))>
#<alt (* z (- (+ (/ 1 z) (/ x z)) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 (sin y)))))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (- (* 1/6 (* (pow y 2) z)) z))))>
#<alt (+ 1 (+ x (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))))>
#<alt (- (+ 1 x) (* z (sin y)))>
#<alt (- (+ 1 x) (* z (sin y)))>
#<alt (- (+ 1 x) (* z (sin y)))>
#<alt (- (+ 1 x) (* z (sin y)))>
#<alt (- (+ 1 x) (* z (sin y)))>
#<alt (- (+ 1 x) (* z (sin y)))>
#<alt (- (+ 1 x) (* z (sin y)))>
#<alt (- (+ 1 x) (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt 1>
#<alt (+ 1 (* -1 (* (pow y 2) (+ 1 (pow z 2)))))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (- 1/3 (* -1/3 (pow z 2)))) (+ 1 (pow z 2)))))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (- (+ 1/3 (* -1 (* (pow y 2) (+ 2/45 (* 2/45 (pow z 2)))))) (* -1/3 (pow z 2)))) (+ 1 (pow z 2)))))>
#<alt (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2))))>
#<alt (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2))))>
#<alt (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2))))>
#<alt (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2))>
#<alt (* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (+ (* 1/2 (/ (cos (* 2 y)) (pow z 2))) (* 1/2 (/ 1 (pow z 2))))) 1/2))>
#<alt (* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (+ (* 1/2 (/ (cos (* 2 y)) (pow z 2))) (* 1/2 (/ 1 (pow z 2))))) 1/2))>
#<alt (* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (+ (* 1/2 (/ (cos (* 2 y)) (pow z 2))) (* 1/2 (/ 1 (pow z 2))))) 1/2))>
#<alt (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2))>
#<alt (* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (+ (* 1/2 (/ (cos (* 2 y)) (pow z 2))) (* 1/2 (/ 1 (pow z 2))))) 1/2))>
#<alt (* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (+ (* 1/2 (/ (cos (* 2 y)) (pow z 2))) (* 1/2 (/ 1 (pow z 2))))) 1/2))>
#<alt (* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (+ (* 1/2 (/ (cos (* 2 y)) (pow z 2))) (* 1/2 (/ 1 (pow z 2))))) 1/2))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* y (- (+ (* -1/2 (+ 3/2 (* -1 (pow z 2)))) (* 1/2 (- 1/2 (* -1 (pow z 2))))) (pow z 2)))))))>
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* y (- (+ (* -1/2 (+ 3/2 (* -1 (pow z 2)))) (+ (* 1/2 (- 1/2 (* -1 (pow z 2)))) (* y (+ (* -1/2 (+ (* -1 (* z (+ 3/2 (* -1 (pow z 2))))) (+ (* -1/6 z) (* 1/2 z)))) (+ (* -1/2 (+ (* -1/6 z) (+ (* 1/2 z) (* z (- 1/2 (* -1 (pow z 2))))))) (pow z 3)))))) (pow z 2)))))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (neg (* -2 y))) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (neg (* -2 y))) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (neg (* -2 y))) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (neg (* -2 y))) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y)))))>
#<alt (+ x (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))>
#<alt (+ x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* z (+ (* -1/2 (/ (sin y) (pow (cos y) 2))) (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow (cos y) 2))))))))>
#<alt (+ x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* z (+ (* -1/2 (/ (sin y) (pow (cos y) 2))) (+ (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow (cos y) 2))) (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* (cos (* 2 y)) (pow (sin y) 2)) (pow (cos y) 3))) (* 1/2 (/ (pow (sin y) 2) (pow (cos y) 3))))) (* 1/2 (/ 1 (cos y)))))))))))>
#<alt (+ x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* z (+ (* -1/2 (/ (sin y) (pow (cos y) 2))) (+ (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow (cos y) 2))) (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* (cos (* 2 y)) (pow (sin y) 2)) (pow (cos y) 3))) (+ (* 1/2 (/ (pow (sin y) 2) (pow (cos y) 3))) (* z (+ (* -1/2 (/ (* (cos (* 2 y)) (pow (sin y) 3)) (pow (cos y) 4))) (+ (* -1/2 (/ (pow (sin y) 3) (pow (cos y) 4))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))))))) (* 1/2 (/ 1 (cos y)))))))))))>
#<alt (* z (- (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos y) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ x z)))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos y) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 2) (sin y)))) (+ (* 1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* (pow z 2) (sin y)))) (/ x z)))))))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (+ (* -1/2 (/ (cos y) (* (pow z 3) (pow (sin y) 2)))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* (pow z 3) (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow (cos y) 3) (cos (* 2 y))) (* (pow z 3) (pow (sin y) 4)))) (+ (* -1/2 (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos y) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 2) (sin y)))) (+ (* 1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (pow (cos y) 3) (* (pow z 3) (pow (sin y) 4)))) (+ (* 1/2 (/ 1 (* (pow z 2) (sin y)))) (/ x z)))))))))))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* -1 (* z (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (* 1/2 (/ (cos y) (pow (sin y) 2))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (+ (* -1 (/ (- (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (pow (sin y) 3))) (* 1/2 (/ (pow (cos y) 2) (pow (sin y) 3))))) (* 1/2 (/ 1 (sin y)))) z)) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (* 1/2 (/ (cos y) (pow (sin y) 2)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (cos y) (pow (sin y) 2))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (+ (* -1/2 (/ (* (pow (cos y) 3) (cos (* 2 y))) (pow (sin y) 4))) (* 1/2 (/ (pow (cos y) 3) (pow (sin y) 4)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (pow (sin y) 3))) (* 1/2 (/ (pow (cos y) 2) (pow (sin y) 3)))))) (* 1/2 (/ 1 (sin y)))) z)) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (* 1/2 (/ (cos y) (pow (sin y) 2)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))>
#<alt (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt x>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y)))))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y)))))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y)))))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))>
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))>
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
Calls

114 calls:

TimeVariablePointExpression
32.0ms
y
@inf
(+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x)
3.0ms
y
@inf
(- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))
2.0ms
y
@-inf
(+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x)
2.0ms
x
@0
(+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x)
2.0ms
y
@0
(+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x))

rewrite684.0ms (6.6%)

Memory
24.5MiB live, 569.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 460×lower-*.f32
5 450×lower-*.f64
4 146×lower-fma.f32
4 134×lower-fma.f64
3 526×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033181
063156
1305134
22744134
09029134
Stop Event
iter limit
node limit
iter limit
Counts
18 → 808
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)
(fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z))
(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(sin.f64 y)
(-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(*.f64 z #s(literal 1/6 binary64))
(*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
Outputs
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)
(+.f64 (+.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)) x)
(exp.f64 (log.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))) #s(literal 1 binary64)))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) (/.f64 (*.f64 x x) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (+.f64 x (cos.f64 y)) #s(literal 1 binary64)) (/.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)
(fma.f64 x #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) x)
(fma.f64 (-.f64 (pow.f64 (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 z (sin.f64 y) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) x)
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) x)
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 z (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(neg.f64 (neg.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))))
(/.f64 (neg.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))) #s(literal -1 binary64))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 x (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))) (neg.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 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 z (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) (*.f64 (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) (*.f64 x x))) (*.f64 (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))) (*.f64 (+.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 (+.f64 x (cos.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64))
(pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))
(*.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))))
(*.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))))
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(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(*.f64 (cos.f64 y) (cos.f64 y))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/4 binary64))))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))
(*.f64 (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 z #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) z)
(+.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z z)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) (*.f64 z z)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 z z) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) (*.f64 z z)))
(fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (*.f64 (*.f64 z z) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))
(/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64))) (*.f64 z z)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))
(*.f64 z (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(*.f64 z (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 (sin.f64 y) (*.f64 z (*.f64 z (sin.f64 y))))
(*.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))
(*.f64 (neg.f64 (*.f64 z (sin.f64 y))) (neg.f64 (*.f64 z (sin.f64 y))))
(*.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) z)
(*.f64 (*.f64 (*.f64 z (sin.f64 y)) z) (sin.f64 y))
(*.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) z)

simplify613.0ms (5.9%)

Memory
-2.5MiB live, 719.8MiB allocated
Algorithm
egg-herbie
Rules
10 116×lower-fma.f64
10 116×lower-fma.f32
6 368×lower-*.f64
6 368×lower-*.f32
5 234×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07807134
124956903
083276470
Stop Event
iter limit
node limit
Counts
456 → 440
Calls
Call 1
Inputs
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(/ 1 (- (cos y) (* z (sin y))))
(+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 2))) (/ 1 (- (cos y) (* z (sin y)))))
(+ (* x (- (/ x (pow (- (cos y) (* z (sin y))) 3)) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y)))))
(+ (* x (- (* x (+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 4))) (/ 1 (pow (- (cos y) (* z (sin y))) 3)))) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y)))))
(/ 1 x)
(/ (- (+ 1 (/ (* z (sin y)) x)) (/ (cos y) x)) x)
(/ (- (+ 1 (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2))) (/ (* z (sin y)) x))) (/ (cos y) x)) x)
(/ (- (+ 1 (+ (/ (* z (sin y)) x) (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) (pow x 3)))) (+ (/ (cos y) x) (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2)))) x)
(/ 1 x)
(* -1 (/ (- (* -1 (/ (- (* z (sin y)) (cos y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) x)) (* z (sin y))) (cos y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) x)) (* -1 (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))))) x)) (* z (sin y))) (cos y)) x)) 1) x))
(/ 1 (+ 1 x))
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))
(+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x))) (+ (* -1/2 (/ z (pow (+ 1 x) 3))) (* 1/6 (/ z (pow (+ 1 x) 2))))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (+ x (cos y)))
(+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2)))
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))
(/ -1 (* z (sin y)))
(/ (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z)
(/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (+ (/ (cos y) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y))))))) z)
(/ -1 (* z (sin y)))
(* -1 (/ (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (sin y)))) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (pow (sin y) 2))) (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (sin y)))) z)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* y (- (* -1/2 y) z)))
(+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))
(- (cos y) (* z (sin y)))
(- (cos y) (* z (sin y)))
(- (cos y) (* z (sin y)))
(- (cos y) (* z (sin y)))
(- (cos y) (* z (sin y)))
(- (cos y) (* z (sin y)))
(- (cos y) (* z (sin y)))
(- (cos y) (* z (sin y)))
(cos y)
(+ (cos y) (* -1 (* z (sin y))))
(+ (cos y) (* -1 (* z (sin y))))
(+ (cos y) (* -1 (* z (sin y))))
(* -1 (* z (sin y)))
(* z (- (/ (cos y) z) (sin y)))
(* z (- (/ (cos y) z) (sin y)))
(* z (- (/ (cos y) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))))
(* 1/6 (* (pow y 3) z))
(* (pow y 3) (- (* 1/6 z) (* 1/2 (/ 1 y))))
(* (pow y 3) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))
(* (pow y 3) (- (+ (* 1/6 z) (+ (/ 1 (pow y 3)) (/ x (pow y 3)))) (+ (* 1/2 (/ 1 y)) (/ z (pow y 2)))))
(* 1/6 (* (pow y 3) z))
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(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
Outputs
(- (cos y) (* z (sin y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(neg.f64 (fma.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (neg.f64 x)) x (neg.f64 x)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(neg.f64 (fma.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (neg.f64 x)) x (neg.f64 x)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(neg.f64 (fma.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (neg.f64 x)) x (neg.f64 x)))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (+ x (* -1 (* y z))))
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) (+.f64 x #s(literal 1 binary64)))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(neg.f64 (*.f64 (neg.f64 z) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(neg.f64 (*.f64 (neg.f64 z) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(neg.f64 (*.f64 (neg.f64 z) (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))))
(/ 1 (- (cos y) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 2))) (/ 1 (- (cos y) (* z (sin y)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 x (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))))
(+ (* x (- (/ x (pow (- (cos y) (* z (sin y))) 3)) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y)))))
(fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(+ (* x (- (* x (+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 4))) (/ 1 (pow (- (cos y) (* z (sin y))) 3)))) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y)))))
(fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (/.f64 x (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- (+ 1 (/ (* z (sin y)) x)) (/ (cos y) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)) x)
(/ (- (+ 1 (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2))) (/ (* z (sin y)) x))) (/ (cos y) x)) x)
(/.f64 (+.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)) x)
(/ (- (+ 1 (+ (/ (* z (sin y)) x) (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) (pow x 3)))) (+ (/ (cos y) x) (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2)))) x)
(/.f64 (-.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (fma.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (fma.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 x x)) (/.f64 (cos.f64 y) x))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* -1 (/ (- (* z (sin y)) (cos y)) x)) 1) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) (neg.f64 x))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) x)) (* z (sin y))) (cos y)) x)) 1) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) (neg.f64 x)) (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) (neg.f64 x))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) x)) (* -1 (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))))) x)) (* z (sin y))) (cos y)) x)) 1) x))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (*.f64 z (sin.f64 y)) (/.f64 (fma.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) (*.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) (neg.f64 x)))) x)) (cos.f64 y)) (neg.f64 x))) x))
(/ 1 (+ 1 x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))
(fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))
(fma.f64 y (fma.f64 y (fma.f64 z (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x))) (+ (* -1/2 (/ z (pow (+ 1 x) 3))) (* 1/6 (/ z (pow (+ 1 x) 2))))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))
(fma.f64 y (fma.f64 y (fma.f64 (-.f64 (fma.f64 z (/.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (fma.f64 z (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 z (+.f64 x #s(literal 1 binary64))))) (neg.f64 y) (fma.f64 z (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(/ 1 (+ x (cos y)))
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))
(+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2)))
(fma.f64 z (/.f64 (sin.f64 y) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)))
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))
(fma.f64 z (fma.f64 z (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64))) (/.f64 (sin.f64 y) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))
(fma.f64 z (fma.f64 z (fma.f64 z (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)))) (/.f64 (sin.f64 y) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(/ (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)
(-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z)
(/.f64 (-.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 y) x)) (/.f64 (+.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 z (*.f64 z (sin.f64 y)))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (+.f64 (/.f64 x (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z)
(/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (+ (/ (cos y) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y))))))) z)
(/.f64 (-.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (+.f64 (/.f64 x (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (fma.f64 (+.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (+.f64 (cos.f64 y) x) (*.f64 z (*.f64 z (sin.f64 y)))) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))) z)
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(* -1 (/ (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z))
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(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow y 2) (pow z 2))
(*.f64 z (*.f64 z (*.f64 y y)))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(*.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (*.f64 z z)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 (*.f64 z z) (fma.f64 y (*.f64 y #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))) (*.f64 z z)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(*.f64 (*.f64 y y) (fma.f64 z z (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (*.f64 z z) (fma.f64 (*.f64 y y) #s(literal -1/315 binary64) #s(literal 2/45 binary64))) (*.f64 z (*.f64 z #s(literal -1/3 binary64)))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(*.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))

eval235.0ms (2.3%)

Memory
-23.7MiB live, 490.0MiB allocated
Compiler

Compiled 47 601 to 3 294 computations (93.1% saved)

prune162.0ms (1.6%)

Memory
1.7MiB live, 448.3MiB allocated
Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New1 310161 326
Fresh268
Picked325
Done011
Total1 315251 340
Accuracy
100.0%
Counts
1 340 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.5%
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))
75.5%
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) x)
49.7%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 z (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x)))
62.7%
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
59.8%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
22.4%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (+.f64 (/.f64 x (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (neg.f64 z)))
42.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
67.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
70.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))))
47.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
26.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
75.4%
(-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
99.9%
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
89.2%
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
54.2%
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
67.2%
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
75.6%
(+.f64 (cos.f64 y) x)
51.6%
(+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
65.3%
(+.f64 x #s(literal 1 binary64))
59.6%
(*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
19.1%
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
9.3%
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
2.6%
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 y y))))
26.0%
(neg.f64 (*.f64 z (sin.f64 y)))
20.6%
#s(literal 1 binary64)
Compiler

Compiled 703 to 455 computations (35.3% saved)

simplify94.0ms (0.9%)

Memory
20.9MiB live, 140.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 y)
cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 y))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) x)
cost-diff7104
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
(neg.f64 (*.f64 z (sin.f64 y)))
cost-diff0
(*.f64 y #s(literal 1/6 binary64))
cost-diff0
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))
cost-diff0
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
cost-diff0
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
cost-diff0
(cos.f64 y)
cost-diff0
(+.f64 (cos.f64 y) x)
Rules
1 432×lower-fma.f32
1 428×lower-fma.f64
1 004×lower-*.f32
994×lower-*.f64
432×distribute-lft-neg-in
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
023105
040105
175105
2144103
3220101
4294101
5397100
657797
796597
8133097
9151197
10156397
11158997
12159697
13159897
14159897
15161297
0161297
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (cos.f64 y) x)
(cos.f64 y)
y
x
#s(literal 1 binary64)
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
z
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
y
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))
(*.f64 y #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal -1 binary64)
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) x)
#s(literal 1/2 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
#s(literal 1 binary64)
(cos.f64 y)
y
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
#s(literal -2 binary64)
x
Outputs
(+.f64 (cos.f64 y) x)
(cos.f64 y)
y
x
#s(literal 1 binary64)
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
z
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
y
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))
(*.f64 y #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal -1 binary64)
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) x)
#s(literal 1/2 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) (cos.f64 y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
#s(literal 1 binary64)
(cos.f64 y)
y
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
#s(literal -2 binary64)
x

localize124.0ms (1.2%)

Memory
-11.7MiB live, 231.3MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) x)
accuracy99.8%
(/.f64 #s(literal 1 binary64) (cos.f64 y))
accuracy99.7%
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
accuracy99.2%
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)))
accuracy100.0%
(neg.f64 (*.f64 z (sin.f64 y)))
accuracy100.0%
(sin.f64 y)
accuracy99.8%
(*.f64 z (sin.f64 y))
accuracy99.9%
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
accuracy99.9%
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))
accuracy99.4%
(*.f64 y #s(literal 1/6 binary64))
accuracy97.0%
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
accuracy100.0%
(cos.f64 y)
accuracy100.0%
(+.f64 (cos.f64 y) x)
Samples
95.0ms256×0valid
Compiler

Compiled 111 to 27 computations (75.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 25.0ms (44.2% of total)
ival-cos: 12.0ms (21.2% of total)
ival-add: 5.0ms (8.8% of total)
ival-sin: 5.0ms (8.8% of total)
const: 4.0ms (7.1% of total)
ival-div: 3.0ms (5.3% of total)
exact: 1.0ms (1.8% of total)
ival-neg: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
15.8MiB live, 54.9MiB allocated
Counts
13 → 216
Calls
Call 1
Inputs
#<alt (+.f64 (cos.f64 y) x)>
#<alt (cos.f64 y)>
#<alt (*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))>
#<alt (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))>
#<alt (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))>
#<alt (*.f64 y #s(literal 1/6 binary64))>
#<alt (neg.f64 (*.f64 z (sin.f64 y)))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (sin.f64 y)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)))>
#<alt (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) x)>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 y))>
#<alt (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))>
Outputs
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))>
#<alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (cos y)>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt x>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))>
#<alt (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))>
#<alt (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))>
#<alt (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))>
#<alt (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/6 (pow y 2)) 1))>
#<alt (* y (- (* 1/6 (pow y 2)) 1))>
#<alt (* y (- (* 1/6 (pow y 2)) 1))>
#<alt (* 1/6 (pow y 3))>
#<alt (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* 1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)))>
#<alt (* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)))>
#<alt (* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)))>
#<alt -1>
#<alt (- (* 1/6 (pow y 2)) 1)>
#<alt (- (* 1/6 (pow y 2)) 1)>
#<alt (- (* 1/6 (pow y 2)) 1)>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* y z))>
#<alt (* y (- (* 1/6 (* (pow y 2) z)) z))>
#<alt (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))>
#<alt (* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt 2>
#<alt (+ 2 (* -1 (pow y 2)))>
#<alt (+ 2 (* (pow y 2) (- (* 1/12 (pow y 2)) 1)))>
#<alt (+ 2 (* (pow y 2) (- (* (pow y 2) (+ 1/12 (* -1/360 (pow y 2)))) 1)))>
#<alt (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))>
#<alt (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))>
#<alt (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))>
#<alt (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))>
#<alt (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))>
#<alt (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))>
#<alt (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))>
#<alt (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))>
#<alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))>
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))>
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))>
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))>
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))>
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))>
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))>
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))>
#<alt (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))))>
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))>
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))>
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x)) 1)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/2 (* 5/24 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 5/24 (* 61/720 (pow y 2)))))))>
#<alt (/ 1 (cos y))>
#<alt (/ 1 (cos y))>
#<alt (/ 1 (cos y))>
#<alt (/ 1 (cos y))>
#<alt (/ 1 (cos y))>
#<alt (/ 1 (cos y))>
#<alt (/ 1 (cos y))>
#<alt (/ 1 (cos y))>
#<alt 1>
#<alt (+ 1 (* -3/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* -1/8 (pow y 2)) 3/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -7/80 (pow y 2)) 1/8)) 3/2)))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
Calls

54 calls:

TimeVariablePointExpression
9.0ms
y
@inf
(* z (* y (+ (* y (* y 1/6)) -1)))
1.0ms
z
@0
(* z (* y (+ (* y (* y 1/6)) -1)))
1.0ms
x
@0
(+ (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* y -2)) (cos y)))) x)
1.0ms
y
@-inf
(+ (/ 1 (cos y)) (/ (cos (* y -2)) (cos y)))
1.0ms
y
@inf
(+ (/ 1 (cos y)) (/ (cos (* y -2)) (cos y)))

rewrite297.0ms (2.9%)

Memory
-18.9MiB live, 807.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 336×lower-fma.f32
5 332×lower-fma.f64
3 756×lower-/.f32
3 752×lower-/.f64
3 550×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02382
04082
113880
2108274
0883174
Stop Event
iter limit
node limit
iter limit
Counts
13 → 418
Calls
Call 1
Inputs
(+.f64 (cos.f64 y) x)
(cos.f64 y)
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))
(*.f64 y #s(literal 1/6 binary64))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(sin.f64 y)
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) x)
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
Outputs
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (cos.f64 y) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x))))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 x (cos.f64 y))))
(fma.f64 (cos.f64 y) #s(literal 1 binary64) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 y)) x)
(fma.f64 #s(literal 1 binary64) (cos.f64 y) x)
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x))))
(fma.f64 (neg.f64 (cos.f64 y)) #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (cos.f64 y) x))) (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (cos.f64 y) x))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (cos.f64 y) x)))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 x (cos.f64 y)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (cos.f64 y) x)) (*.f64 (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 (-.f64 (cos.f64 y) x) (-.f64 (cos.f64 y) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (cos.f64 y) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (neg.f64 (-.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (cos.f64 y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (cos.f64 y) x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (cos.f64 y) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x))))))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (cos.f64 y) x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (cos.f64 y) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x)))) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (cos.f64 y) x)))))
(*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x)))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(*.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (cos.f64 y) x))))
(*.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (cos.f64 y)))
(cos.f64 y)
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 y) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (cos.f64 y)))
(/.f64 (cos.f64 y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (cos.f64 y)) #s(literal -1 binary64))
(pow.f64 (cos.f64 y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64))
(*.f64 (cos.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 y)))
(*.f64 #s(literal 1 binary64) (cos.f64 y))
(*.f64 (neg.f64 (cos.f64 y)) #s(literal -1 binary64))
(+.f64 (*.f64 z (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) (*.f64 z (neg.f64 y)))
(+.f64 (*.f64 (*.f64 y z) #s(literal -1 binary64)) (*.f64 (*.f64 y z) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
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(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) x)) (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) x)))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64) x))
(*.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 x (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal -1/2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) x)))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 1/2 binary64)) x))))
(*.f64 (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) #s(literal -1/2 binary64)))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 y))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(pow.f64 (cos.f64 y) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (neg.f64 (cos.f64 y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (neg.f64 (cos.f64 y))))
(neg.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (neg.f64 (cos.f64 y))))
(neg.f64 (*.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (neg.f64 (cos.f64 y))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/.f64 (neg.f64 (cos.f64 (*.f64 y #s(literal -2 binary64)))) (neg.f64 (cos.f64 y)))
(/.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 (cos.f64 y)))
(/.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))) (cos.f64 y))
(pow.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (neg.f64 (cos.f64 y))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (cos.f64 (*.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64)))
(*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(*.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) #s(literal 1 binary64))
(*.f64 (neg.f64 (cos.f64 (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y)))
(*.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 y)))
(*.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(*.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 y)))
(*.f64 (pow.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal -1/2 binary64)))

simplify392.0ms (3.8%)

Memory
16.6MiB live, 740.5MiB allocated
Algorithm
egg-herbie
Rules
15 916×lower-fma.f64
15 916×lower-fma.f32
3 688×lower-*.f64
3 688×lower-*.f32
3 402×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01891630
15071584
213821551
326661495
454921494
579751494
080581417
Stop Event
iter limit
node limit
Counts
216 → 211
Calls
Call 1
Inputs
(+ 1 x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(cos y)
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
x
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* -1 (* y z))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* 1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* 1/6 (* (pow y 3) z))
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))
(* -1 y)
(* y (- (* 1/6 (pow y 2)) 1))
(* y (- (* 1/6 (pow y 2)) 1))
(* y (- (* 1/6 (pow y 2)) 1))
(* 1/6 (pow y 3))
(* (pow y 3) (- 1/6 (/ 1 (pow y 2))))
(* (pow y 3) (- 1/6 (/ 1 (pow y 2))))
(* (pow y 3) (- 1/6 (/ 1 (pow y 2))))
(* 1/6 (pow y 3))
(* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)))
(* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)))
(* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)))
-1
(- (* 1/6 (pow y 2)) 1)
(- (* 1/6 (pow y 2)) 1)
(- (* 1/6 (pow y 2)) 1)
(* 1/6 (pow y 2))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(* 1/6 (pow y 2))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* y z))
(* y (- (* 1/6 (* (pow y 2) z)) z))
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
2
(+ 2 (* -1 (pow y 2)))
(+ 2 (* (pow y 2) (- (* 1/12 (pow y 2)) 1)))
(+ 2 (* (pow y 2) (- (* (pow y 2) (+ 1/12 (* -1/360 (pow y 2)))) 1)))
(+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))
(+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))
(+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))
(+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))
(+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))
(+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))
(+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))
(+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))
(+ 1 x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))
(* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))))
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))
(+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))
x
(* x (+ 1 (* 1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x))))
(* x (+ 1 (* 1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x))))
(* x (+ 1 (* 1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x))))
x
(* -1 (* x (- (* -1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x)) 1)))
1
(+ 1 (* 1/2 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/2 (* 5/24 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 5/24 (* 61/720 (pow y 2)))))))
(/ 1 (cos y))
(/ 1 (cos y))
(/ 1 (cos y))
(/ 1 (cos y))
(/ 1 (cos y))
(/ 1 (cos y))
(/ 1 (cos y))
(/ 1 (cos y))
1
(+ 1 (* -3/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* -1/8 (pow y 2)) 3/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -7/80 (pow y 2)) 1/8)) 3/2)))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
Outputs
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) x))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ x (cos y))
(+.f64 x (cos.f64 y))
(+ x (cos y))
(+.f64 x (cos.f64 y))
(+ x (cos y))
(+.f64 x (cos.f64 y))
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(fma.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x)
(* x (+ 1 (* 1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x))))
(fma.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x)
x
(* -1 (* x (- (* -1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x)) 1)))
(fma.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x)
(* -1 (* x (- (* -1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x)) 1)))
(fma.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x)
(* -1 (* x (- (* -1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x)) 1)))
(fma.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/2 (* 5/24 (pow y 2)))))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 5/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 5/24 (* 61/720 (pow y 2)))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 61/720 binary64) #s(literal 5/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -3/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -3/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* -1/8 (pow y 2)) 3/2)))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) #s(literal -3/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -7/80 (pow y 2)) 1/8)) 3/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -7/80 binary64) #s(literal -1/8 binary64)) #s(literal -3/2 binary64)) #s(literal 1 binary64))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))

eval89.0ms (0.9%)

Memory
9.3MiB live, 202.5MiB allocated
Compiler

Compiled 14 092 to 1 519 computations (89.2% saved)

prune100.0ms (1%)

Memory
-11.8MiB live, 240.5MiB allocated
Pruning

31 alts after pruning (23 fresh and 8 done)

PrunedKeptTotal
New6778685
Fresh21517
Picked055
Done033
Total67931710
Accuracy
100.0%
Counts
710 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.5%
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))
48.7%
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/12 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) x)
51.6%
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 y y)) x)
75.5%
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) x)
52.5%
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (cos.f64 y) x))
49.7%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 z (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x)))
62.7%
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
59.8%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
22.4%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (+.f64 (/.f64 x (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (neg.f64 z)))
42.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
67.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
70.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))))
47.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
26.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
99.9%
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
89.2%
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
54.2%
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
67.2%
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
47.5%
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
48.7%
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
75.6%
(+.f64 (cos.f64 y) x)
65.3%
(+.f64 x #s(literal 1 binary64))
59.6%
(*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
19.1%
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
9.3%
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
2.6%
(*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
10.0%
(*.f64 z (neg.f64 y))
2.6%
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 y y))))
26.0%
(neg.f64 (*.f64 z (sin.f64 y)))
30.2%
(cos.f64 y)
20.6%
#s(literal 1 binary64)
Compiler

Compiled 801 to 516 computations (35.6% saved)

simplify109.0ms (1.1%)

Memory
-24.5MiB live, 95.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
(cos.f64 y)
cost-diff0
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 y z))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))
cost-diff128
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
cost-diff0
(*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
cost-diff0
(*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 z (neg.f64 y))
cost-diff0
(neg.f64 (*.f64 z (sin.f64 y)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y)))))
cost-diff128
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))))
Rules
1 192×lower-fma.f64
1 192×lower-fma.f32
904×lower-*.f32
890×lower-*.f64
346×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024133
043122
180118
2161118
3295118
4410118
5616118
6880118
71087118
81200118
91568118
102101118
112270118
122274118
132274118
142274118
152278118
02278115
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y)))))
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
x
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
(*.f64 z (neg.f64 y))
z
(neg.f64 y)
y
(*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
z
(*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
y
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
(*.f64 y y)
#s(literal 1/6 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
x
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(*.f64 y z)
y
z
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
x
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
z
(neg.f64 y)
y
(*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
z
(*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
y
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
(*.f64 y y)
#s(literal 1/6 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
(-.f64 x (fma.f64 z y #s(literal -1 binary64)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))
(/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 z y #s(literal -1 binary64)) x))
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(-.f64 x (fma.f64 z y #s(literal -1 binary64)))
x
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(*.f64 y z)
(*.f64 z y)
y
z
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)

localize94.0ms (0.9%)

Memory
16.0MiB live, 214.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
accuracy100.0%
(cos.f64 y)
accuracy100.0%
(sin.f64 y)
accuracy99.8%
(*.f64 z (sin.f64 y))
accuracy100.0%
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
accuracy100.0%
(*.f64 y z)
accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
accuracy99.4%
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))
accuracy100.0%
(*.f64 y y)
accuracy99.9%
(*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
accuracy99.7%
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
accuracy92.0%
(*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
accuracy100.0%
(*.f64 z (neg.f64 y))
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(sin.f64 y)
accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y)))))
accuracy99.8%
(*.f64 z (sin.f64 y))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))))
Samples
60.0ms256×0valid
Compiler

Compiled 135 to 26 computations (80.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 11.0ms (27.1% of total)
ival-div: 6.0ms (14.8% of total)
ival-sin: 6.0ms (14.8% of total)
ival-cos: 5.0ms (12.3% of total)
ival-sub: 4.0ms (9.9% of total)
const: 4.0ms (9.9% of total)
ival-add: 2.0ms (4.9% of total)
ival-neg: 2.0ms (4.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
0.9MiB live, 42.6MiB allocated
Counts
19 → 456
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))))>
#<alt (+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y)))))>
#<alt (neg.f64 (*.f64 z (sin.f64 y)))>
#<alt (*.f64 z (neg.f64 y))>
#<alt (neg.f64 y)>
#<alt (*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))>
#<alt (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))>
#<alt (*.f64 (*.f64 y y) #s(literal 1/6 binary64))>
#<alt (*.f64 y y)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))>
#<alt (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 y z))>
#<alt (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))>
#<alt (cos.f64 y)>
#<alt (*.f64 z (sin.f64 y))>
#<alt (sin.f64 y)>
#<alt (*.f64 y z)>
Outputs
#<alt (* -1 (* z (sin y)))>
#<alt (- x (* z (sin y)))>
#<alt (- x (* z (sin y)))>
#<alt (- x (* z (sin y)))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ 1 (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ 1 (* -1 (/ (* z (sin y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (* z (sin y)) x) 1)))>
#<alt (* -1 (* x (- (/ (* z (sin y)) x) 1)))>
#<alt (* -1 (* x (- (/ (* z (sin y)) x) 1)))>
#<alt x>
#<alt (+ x (* -1 (* z (sin y))))>
#<alt (+ x (* -1 (* z (sin y))))>
#<alt (+ x (* -1 (* z (sin y))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ x z) (sin y)))>
#<alt (* z (- (/ x z) (sin y)))>
#<alt (* z (- (/ x z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* 1/6 (* (pow y 2) z)) z)))>
#<alt (+ x (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z)))>
#<alt (- x (* z (sin y)))>
#<alt (- x (* z (sin y)))>
#<alt (- x (* z (sin y)))>
#<alt (- x (* z (sin y)))>
#<alt (- x (* z (sin y)))>
#<alt (- x (* z (sin y)))>
#<alt (- x (* z (sin y)))>
#<alt (- x (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (- x (* z (sin y)))>
#<alt (- x (* z (sin y)))>
#<alt (- x (* z (sin y)))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ 1 (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ 1 (* -1 (/ (* z (sin y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (* z (sin y)) x) 1)))>
#<alt (* -1 (* x (- (/ (* z (sin y)) x) 1)))>
#<alt (* -1 (* x (- (/ (* z (sin y)) x) 1)))>
#<alt x>
#<alt (+ x (* -1 (* z (sin y))))>
#<alt (+ x (* -1 (* z (sin y))))>
#<alt (+ x (* -1 (* z (sin y))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ x z) (sin y)))>
#<alt (* z (- (/ x z) (sin y)))>
#<alt (* z (- (/ x z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* 1/6 (* (pow y 2) z)) z)))>
#<alt (+ x (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z)))>
#<alt (- x (* z (sin y)))>
#<alt (- x (* z (sin y)))>
#<alt (- x (* z (sin y)))>
#<alt (- x (* z (sin y)))>
#<alt (- x (* z (sin y)))>
#<alt (- x (* z (sin y)))>
#<alt (- x (* z (sin y)))>
#<alt (- x (* z (sin y)))>
#<alt (/ -1 (* z (sin y)))>
#<alt (- (* -1 (/ x (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))>
#<alt (- (* x (- (* -1 (/ x (* (pow z 3) (pow (sin y) 3)))) (/ 1 (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))>
#<alt (- (* x (- (* x (- (* -1 (/ x (* (pow z 4) (pow (sin y) 4)))) (/ 1 (* (pow z 3) (pow (sin y) 3))))) (/ 1 (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ (* z (sin y)) x)) x)>
#<alt (/ (- (+ 1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (* -1 (/ (* z (sin y)) x))) x)>
#<alt (/ (- (+ 1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (+ (* -1 (/ (* z (sin y)) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* -1 (/ (* z (sin y)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) x) (* -1 (* z (sin y)))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) x)) (* (pow z 2) (pow (sin y) 2))) x)) (* -1 (* z (sin y)))) x)) 1) x))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ (* z (sin y)) (pow x 2)))>
#<alt (+ (* z (- (/ (* z (pow (sin y) 2)) (pow x 3)) (* -1 (/ (sin y) (pow x 2))))) (/ 1 x))>
#<alt (+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow x 4)) (* -1 (/ (pow (sin y) 2) (pow x 3))))) (* -1 (/ (sin y) (pow x 2))))) (/ 1 x))>
#<alt (/ -1 (* z (sin y)))>
#<alt (/ (- (* -1 (/ x (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)>
#<alt (/ (- (* -1 (/ (pow x 2) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ x (* z (pow (sin y) 2))))) z)>
#<alt (/ (- (* -1 (/ (pow x 3) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (pow x 2) (* (pow z 2) (pow (sin y) 3)))))) z)>
#<alt (/ -1 (* z (sin y)))>
#<alt (* -1 (/ (+ (/ 1 (sin y)) (/ x (* z (pow (sin y) 2)))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* z (pow (sin y) 3)))) (/ x (pow (sin y) 2))) z)) (/ 1 (sin y))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* z (pow (sin y) 4))) (* -1 (/ (pow x 2) (pow (sin y) 3)))) z)) (/ x (pow (sin y) 2))) z)) (/ 1 (sin y))) z))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ (* y z) (pow x 2)))>
#<alt (+ (* y (- (/ (* y (pow z 2)) (pow x 3)) (* -1 (/ z (pow x 2))))) (/ 1 x))>
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (pow z 3) (pow x 4))) (* 1/6 (/ z (pow x 2)))))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))>
#<alt (/ 1 (- x (* z (sin y))))>
#<alt (/ 1 (- x (* z (sin y))))>
#<alt (/ 1 (- x (* z (sin y))))>
#<alt (/ 1 (- x (* z (sin y))))>
#<alt (/ 1 (- x (* z (sin y))))>
#<alt (/ 1 (- x (* z (sin y))))>
#<alt (/ 1 (- x (* z (sin y))))>
#<alt (/ 1 (- x (* z (sin y))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* y z))>
#<alt (* y (- (* 1/6 (* (pow y 2) z)) z))>
#<alt (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))>
#<alt (* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* 1/6 (pow y 3))>
#<alt (* 1/6 (pow y 3))>
#<alt (* 1/6 (pow y 3))>
#<alt (* 1/6 (pow y 3))>
#<alt (* 1/6 (pow y 3))>
#<alt (* 1/6 (pow y 3))>
#<alt (* 1/6 (pow y 3))>
#<alt (* 1/6 (pow y 3))>
#<alt (* 1/6 (pow y 3))>
#<alt (* 1/6 (pow y 3))>
#<alt (* 1/6 (pow y 3))>
#<alt (* 1/6 (pow y 3))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (- 1 (* y z))>
#<alt (- (+ 1 x) (* y z))>
#<alt (- (+ 1 x) (* y z))>
#<alt (- (+ 1 x) (* y z))>
#<alt x>
#<alt (* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))>
#<alt (* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))>
#<alt (* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (* -1 (* y z))>
#<alt (* y (- (+ (/ 1 y) (/ x y)) z))>
#<alt (* y (- (+ (/ 1 y) (/ x y)) z))>
#<alt (* y (- (+ (/ 1 y) (/ x y)) z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))>
#<alt (* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))>
#<alt (* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (* -1 (* y z))>
#<alt (* z (- (+ (/ 1 z) (/ x z)) y))>
#<alt (* z (- (+ (/ 1 z) (/ x z)) y))>
#<alt (* z (- (+ (/ 1 z) (/ x z)) y))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))>
#<alt (* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))>
#<alt (* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))>
#<alt (- 1 (* y z))>
#<alt (- (+ 1 x) (* y z))>
#<alt (- (+ 1 x) (* y z))>
#<alt (- (+ 1 x) (* y z))>
#<alt x>
#<alt (* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))>
#<alt (* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))>
#<alt (* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (* -1 (* y z))>
#<alt (* y (- (+ (/ 1 y) (/ x y)) z))>
#<alt (* y (- (+ (/ 1 y) (/ x y)) z))>
#<alt (* y (- (+ (/ 1 y) (/ x y)) z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))>
#<alt (* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))>
#<alt (* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (* -1 (* y z))>
#<alt (* z (- (+ (/ 1 z) (/ x z)) y))>
#<alt (* z (- (+ (/ 1 z) (/ x z)) y))>
#<alt (* z (- (+ (/ 1 z) (/ x z)) y))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))>
#<alt (* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))>
#<alt (* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))>
#<alt (/ 1 (- 1 (* y z)))>
#<alt (+ (* -1 (/ x (pow (- 1 (* y z)) 2))) (/ 1 (- 1 (* y z))))>
#<alt (+ (* x (- (/ x (pow (- 1 (* y z)) 3)) (/ 1 (pow (- 1 (* y z)) 2)))) (/ 1 (- 1 (* y z))))>
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow (- 1 (* y z)) 4))) (/ 1 (pow (- 1 (* y z)) 3)))) (/ 1 (pow (- 1 (* y z)) 2)))) (/ 1 (- 1 (* y z))))>
#<alt (/ 1 x)>
#<alt (/ (- (+ 1 (/ (* y z) x)) (/ 1 x)) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* y z)) (- (* y z) 1)) (pow x 2))) (/ (* y z) x))) (/ 1 x)) x)>
#<alt (/ (- (+ 1 (+ (/ (* y z) x) (/ (* (pow (- 1 (* y z)) 2) (- (* y z) 1)) (pow x 3)))) (+ (/ 1 x) (/ (* (- 1 (* y z)) (- (* y z) 1)) (pow x 2)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* -1 (/ (- (* y z) 1) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- 1 (* y z)) (- (* y z) 1)) x)) (* y z)) 1) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 1 (* y z)) 2) (- (* y z) 1)) x)) (* -1 (* (- 1 (* y z)) (- (* y z) 1)))) x)) (* y z)) 1) x)) 1) x))>
#<alt (/ 1 (+ 1 x))>
#<alt (+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))>
#<alt (+ (* y (- (/ (* y (pow z 2)) (pow (+ 1 x) 3)) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))>
#<alt (+ (* y (- (* y (- (/ (* y (pow z 3)) (pow (+ 1 x) 4)) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))>
#<alt (/ -1 (* y z))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (pow z 2)) (/ x (pow z 2))) y)) (/ 1 z)) y)>
#<alt (/ (- (* -1 (/ (* (+ 1 x) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) (* (pow y 2) z))) (+ (/ 1 z) (+ (/ 1 (* y (pow z 2))) (/ x (* y (pow z 2)))))) y)>
#<alt (/ (- (* -1 (/ (* (pow (+ 1 x) 2) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) (* (pow y 3) (pow z 2)))) (+ (/ 1 z) (+ (/ 1 (* y (pow z 2))) (+ (/ x (* y (pow z 2))) (/ (* (+ 1 x) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) (* (pow y 2) z)))))) y)>
#<alt (/ -1 (* y z))>
#<alt (* -1 (/ (+ (/ 1 z) (+ (/ 1 (* y (pow z 2))) (/ x (* y (pow z 2))))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ 1 x) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) (* y z))) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) y)) (/ 1 z)) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 1 x) 2) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) (* y (pow z 2))) (* -1 (/ (* (+ 1 x) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) z))) y)) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) y)) (/ 1 z)) y))>
#<alt (/ 1 (+ 1 x))>
#<alt (+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))>
#<alt (+ (* z (- (/ (* (pow y 2) z) (pow (+ 1 x) 3)) (* -1 (/ y (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))>
#<alt (+ (* z (- (* z (- (/ (* (pow y 3) z) (pow (+ 1 x) 4)) (* -1 (/ (pow y 2) (pow (+ 1 x) 3))))) (* -1 (/ y (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))>
#<alt (/ -1 (* y z))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (pow y 2)) (/ x (pow y 2))) z)) (/ 1 y)) z)>
#<alt (/ (- (* -1 (/ (* (+ 1 x) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) (* y (pow z 2)))) (+ (/ 1 y) (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z))))) z)>
#<alt (/ (- (* -1 (/ (* (pow (+ 1 x) 2) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) (* (pow y 2) (pow z 3)))) (+ (/ 1 y) (+ (/ 1 (* (pow y 2) z)) (+ (/ x (* (pow y 2) z)) (/ (* (+ 1 x) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) (* y (pow z 2))))))) z)>
#<alt (/ -1 (* y z))>
#<alt (* -1 (/ (+ (/ 1 y) (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z)))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ 1 x) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) (* y z))) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) z)) (/ 1 y)) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 1 x) 2) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) (* (pow y 2) z)) (* -1 (/ (* (+ 1 x) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) y))) z)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) z)) (/ 1 y)) z))>
#<alt 1>
#<alt (+ 1 (* -1 (* y z)))>
#<alt (+ 1 (* -1 (* y z)))>
#<alt (+ 1 (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* y (- (/ 1 y) z))>
#<alt (* y (- (/ 1 y) z))>
#<alt (* y (- (/ 1 y) z))>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (/ 1 y)))>
#<alt (* y (+ (* -1 z) (/ 1 y)))>
#<alt (* y (+ (* -1 z) (/ 1 y)))>
#<alt 1>
#<alt (+ 1 (* -1 (* y z)))>
#<alt (+ 1 (* -1 (* y z)))>
#<alt (+ 1 (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* z (- (/ 1 z) y))>
#<alt (* z (- (/ 1 z) y))>
#<alt (* z (- (/ 1 z) y))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (/ 1 z)))>
#<alt (* z (+ (* -1 y) (/ 1 z)))>
#<alt (* z (+ (* -1 y) (/ 1 z)))>
#<alt 1>
#<alt (+ 1 (* -1 (* y z)))>
#<alt (+ 1 (* y (- (* -1/2 y) z)))>
#<alt (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))>
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (cos y) (* z (sin y)))>
#<alt (cos y)>
#<alt (+ (cos y) (* -1 (* z (sin y))))>
#<alt (+ (cos y) (* -1 (* z (sin y))))>
#<alt (+ (cos y) (* -1 (* z (sin y))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ (cos y) z) (sin y)))>
#<alt (* z (- (/ (cos y) z) (sin y)))>
#<alt (* z (- (/ (cos y) z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
Calls

114 calls:

TimeVariablePointExpression
5.0ms
x
@0
(/ 1 (+ x (- 1 (* y z))))
1.0ms
z
@0
(* z (* y (* (* y y) 1/6)))
1.0ms
y
@inf
(/ 1 (+ x (- 1 (* y z))))
1.0ms
z
@inf
(/ 1 (+ x (- 1 (* y z))))
0.0ms
z
@inf
(* z (* y (* (* y y) 1/6)))

rewrite408.0ms (3.9%)

Memory
3.2MiB live, 355.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 136×lower-fma.f64
7 136×lower-fma.f32
4 872×lower-*.f32
4 858×lower-*.f64
3 014×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024112
043102
115498
296096
0942291
Stop Event
iter limit
node limit
iter limit
Counts
19 → 988
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))))
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y)))))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 y))
(neg.f64 y)
(*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
(*.f64 y y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(cos.f64 y)
(*.f64 z (sin.f64 y))
(sin.f64 y)
(*.f64 y z)
Outputs
(+.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) (neg.f64 (neg.f64 x)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 z (sin.f64 y) x))
(+.f64 (/.f64 (*.f64 x x) (fma.f64 z (sin.f64 y) x)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (fma.f64 z (sin.f64 y) x)))
(+.f64 (neg.f64 (neg.f64 x)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (sin.f64 y) x)) #s(literal 1 binary64)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 z (sin.f64 y) x)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (fma.f64 z (sin.f64 y) x)))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (fma.f64 z (sin.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 z (sin.f64 y)) x)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (fma.f64 z (sin.f64 y) x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (fma.f64 z (sin.f64 y) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) x) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) x (*.f64 z (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)) x)
(fma.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) x)
(fma.f64 z (sin.f64 y) (neg.f64 (neg.f64 x)))
(fma.f64 z (sin.f64 y) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 z (sin.f64 y) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 z (neg.f64 (sin.f64 y)) (neg.f64 (neg.f64 x)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 z (neg.f64 (neg.f64 (sin.f64 y))) x)
(fma.f64 z (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 x)))
(fma.f64 z (neg.f64 (neg.f64 (sin.f64 y))) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 z (neg.f64 (neg.f64 (sin.f64 y))) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (sin.f64 y) z x)
(fma.f64 (sin.f64 y) z (neg.f64 (neg.f64 x)))
(fma.f64 (sin.f64 y) z (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(fma.f64 (sin.f64 y) (neg.f64 z) (neg.f64 (neg.f64 x)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64) x)
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64) x)
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) x)
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 z (sin.f64 y)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) x)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (fma.f64 z (sin.f64 y) x)))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) x)
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) (neg.f64 (neg.f64 x)))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) #s(literal 0 binary64))) x)
(fma.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) #s(literal 0 binary64))) (neg.f64 (neg.f64 x)))
(fma.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) #s(literal 0 binary64))) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) #s(literal 0 binary64))) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (neg.f64 (neg.f64 x)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (neg.f64 z) (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (neg.f64 (sin.f64 y)) (neg.f64 (neg.f64 x)))
(fma.f64 (neg.f64 z) (neg.f64 (sin.f64 y)) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 (neg.f64 z) (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (sin.f64 y)) z x)
(fma.f64 (neg.f64 (sin.f64 y)) z (neg.f64 (neg.f64 x)))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (sin.f64 y)) (neg.f64 z) x)
(fma.f64 (neg.f64 (sin.f64 y)) (neg.f64 z) (neg.f64 (neg.f64 x)))
(fma.f64 (neg.f64 (sin.f64 y)) (neg.f64 z) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 (neg.f64 (sin.f64 y)) (neg.f64 z) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(fma.f64 (*.f64 z #s(literal -1 binary64)) (sin.f64 y) x)
(fma.f64 (*.f64 z #s(literal -1 binary64)) (sin.f64 y) (neg.f64 (neg.f64 x)))
(fma.f64 (*.f64 z #s(literal -1 binary64)) (sin.f64 y) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 (*.f64 z #s(literal -1 binary64)) (sin.f64 y) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (neg.f64 (sin.f64 y))) z x)
(fma.f64 (neg.f64 (neg.f64 (sin.f64 y))) z (neg.f64 (neg.f64 x)))
(fma.f64 (neg.f64 (neg.f64 (sin.f64 y))) z (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 (neg.f64 (neg.f64 (sin.f64 y))) z (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (*.f64 (neg.f64 z) #s(literal -1 binary64)) (sin.f64 y) x)
(fma.f64 (*.f64 (neg.f64 z) #s(literal -1 binary64)) (sin.f64 y) (neg.f64 (neg.f64 x)))
(fma.f64 (*.f64 (neg.f64 z) #s(literal -1 binary64)) (sin.f64 y) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 (*.f64 (neg.f64 z) #s(literal -1 binary64)) (sin.f64 y) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) z x)
(fma.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) z (neg.f64 (neg.f64 x)))
(fma.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) z (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) z (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) z x)
(fma.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) z (neg.f64 (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) z (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) z (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (neg.f64 z) x)
(fma.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (neg.f64 z) (neg.f64 (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (neg.f64 z) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (neg.f64 z) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (sin.f64 y) x)
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (sin.f64 y) (neg.f64 (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (sin.f64 y) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (sin.f64 y) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) z x)
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) z (neg.f64 (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) z (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) z (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(neg.f64 (-.f64 (*.f64 z (sin.f64 y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (*.f64 x (fma.f64 z (sin.f64 y) x))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(/.f64 (fma.f64 z (sin.f64 y) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 z (sin.f64 y) x)))
(/.f64 (-.f64 (*.f64 z (sin.f64 y)) x) #s(literal -1 binary64))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) x) (*.f64 x x)))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (*.f64 x (fma.f64 z (sin.f64 y) x))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) x) (neg.f64 (*.f64 x x)))))
(/.f64 (fma.f64 x x (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (fma.f64 z (sin.f64 y) x))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) x) (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (*.f64 x (fma.f64 z (sin.f64 y) x)))))
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (neg.f64 (*.f64 x x))) (-.f64 (*.f64 z (sin.f64 y)) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 z (sin.f64 y) x)) (*.f64 (fma.f64 z (sin.f64 y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))) (fma.f64 x x (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 x (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) x) (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) x (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (*.f64 x x)))) (fma.f64 z (sin.f64 y) x)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) x) (*.f64 x x))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y)))
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(+.f64 (cos.f64 y) #s(literal 0 binary64))
(cos.f64 y)
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) #s(literal 0 binary64)))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(literal 0 binary64)) (-.f64 (cos.f64 y) #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) #s(literal 0 binary64))) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
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(/.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))
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(*.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
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(*.f64 z (neg.f64 (sin.f64 y)))
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(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))
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(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
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(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) #s(literal 0 binary64))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (neg.f64 z) (neg.f64 (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 (*.f64 z #s(literal -1 binary64)) (sin.f64 y))
(*.f64 (neg.f64 (neg.f64 (sin.f64 y))) z)
(*.f64 (*.f64 (neg.f64 z) #s(literal -1 binary64)) (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) z)
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) z)
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (neg.f64 z))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (sin.f64 y))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) z)
(sin.f64 y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(/.f64 (*.f64 z y) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 z y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z y))
(*.f64 z y)
(*.f64 y z)
(*.f64 (*.f64 z y) #s(literal 1 binary64))

simplify690.0ms (6.7%)

Memory
12.8MiB live, 403.5MiB allocated
Algorithm
egg-herbie
Rules
6 042×lower-*.f64
6 042×lower-*.f32
5 844×lower-fma.f64
5 844×lower-fma.f32
2 102×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05153992
115873834
249673785
083673661
Stop Event
iter limit
node limit
Counts
456 → 443
Calls
Call 1
Inputs
(* -1 (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
x
(* x (+ 1 (* -1 (/ (* z (sin y)) x))))
(* x (+ 1 (* -1 (/ (* z (sin y)) x))))
(* x (+ 1 (* -1 (/ (* z (sin y)) x))))
x
(* -1 (* x (- (/ (* z (sin y)) x) 1)))
(* -1 (* x (- (/ (* z (sin y)) x) 1)))
(* -1 (* x (- (/ (* z (sin y)) x) 1)))
x
(+ x (* -1 (* z (sin y))))
(+ x (* -1 (* z (sin y))))
(+ x (* -1 (* z (sin y))))
(* -1 (* z (sin y)))
(* z (- (/ x z) (sin y)))
(* z (- (/ x z) (sin y)))
(* z (- (/ x z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* 1/6 (* (pow y 2) z)) z)))
(+ x (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(* -1 (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
x
(* x (+ 1 (* -1 (/ (* z (sin y)) x))))
(* x (+ 1 (* -1 (/ (* z (sin y)) x))))
(* x (+ 1 (* -1 (/ (* z (sin y)) x))))
x
(* -1 (* x (- (/ (* z (sin y)) x) 1)))
(* -1 (* x (- (/ (* z (sin y)) x) 1)))
(* -1 (* x (- (/ (* z (sin y)) x) 1)))
x
(+ x (* -1 (* z (sin y))))
(+ x (* -1 (* z (sin y))))
(+ x (* -1 (* z (sin y))))
(* -1 (* z (sin y)))
(* z (- (/ x z) (sin y)))
(* z (- (/ x z) (sin y)))
(* z (- (/ x z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* 1/6 (* (pow y 2) z)) z)))
(+ x (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(/ -1 (* z (sin y)))
(- (* -1 (/ x (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(- (* x (- (* -1 (/ x (* (pow z 3) (pow (sin y) 3)))) (/ 1 (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(- (* x (- (* x (- (* -1 (/ x (* (pow z 4) (pow (sin y) 4)))) (/ 1 (* (pow z 3) (pow (sin y) 3))))) (/ 1 (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(/ 1 x)
(/ (+ 1 (/ (* z (sin y)) x)) x)
(/ (- (+ 1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (* -1 (/ (* z (sin y)) x))) x)
(/ (- (+ 1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (+ (* -1 (/ (* z (sin y)) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))))) x)
(/ 1 x)
(* -1 (/ (- (* -1 (/ (* z (sin y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) x) (* -1 (* z (sin y)))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) x)) (* (pow z 2) (pow (sin y) 2))) x)) (* -1 (* z (sin y)))) x)) 1) x))
(/ 1 x)
(+ (/ 1 x) (/ (* z (sin y)) (pow x 2)))
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow x 3)) (* -1 (/ (sin y) (pow x 2))))) (/ 1 x))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow x 4)) (* -1 (/ (pow (sin y) 2) (pow x 3))))) (* -1 (/ (sin y) (pow x 2))))) (/ 1 x))
(/ -1 (* z (sin y)))
(/ (- (* -1 (/ x (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (pow x 2) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ x (* z (pow (sin y) 2))))) z)
(/ (- (* -1 (/ (pow x 3) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (pow x 2) (* (pow z 2) (pow (sin y) 3)))))) z)
(/ -1 (* z (sin y)))
(* -1 (/ (+ (/ 1 (sin y)) (/ x (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* z (pow (sin y) 3)))) (/ x (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* z (pow (sin y) 4))) (* -1 (/ (pow x 2) (pow (sin y) 3)))) z)) (/ x (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (* y (- (/ (* y (pow z 2)) (pow x 3)) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (pow z 3) (pow x 4))) (* 1/6 (/ z (pow x 2)))))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(/ 1 (- x (* z (sin y))))
(/ 1 (- x (* z (sin y))))
(/ 1 (- x (* z (sin y))))
(/ 1 (- x (* z (sin y))))
(/ 1 (- x (* z (sin y))))
(/ 1 (- x (* z (sin y))))
(/ 1 (- x (* z (sin y))))
(/ 1 (- x (* z (sin y))))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* y z))
(* y (- (* 1/6 (* (pow y 2) z)) z))
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(- 1 (* y z))
(- (+ 1 x) (* y z))
(- (+ 1 x) (* y z))
(- (+ 1 x) (* y z))
x
(* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))
(* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))
(* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))
x
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* -1 (* y z))))
(* -1 (* y z))
(* y (- (+ (/ 1 y) (/ x y)) z))
(* y (- (+ (/ 1 y) (/ x y)) z))
(* y (- (+ (/ 1 y) (/ x y)) z))
(* -1 (* y z))
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* -1 (* y z))))
(* -1 (* y z))
(* z (- (+ (/ 1 z) (/ x z)) y))
(* z (- (+ (/ 1 z) (/ x z)) y))
(* z (- (+ (/ 1 z) (/ x z)) y))
(* -1 (* y z))
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))
(- 1 (* y z))
(- (+ 1 x) (* y z))
(- (+ 1 x) (* y z))
(- (+ 1 x) (* y z))
x
(* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))
(* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))
(* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))
x
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* -1 (* y z))))
(* -1 (* y z))
(* y (- (+ (/ 1 y) (/ x y)) z))
(* y (- (+ (/ 1 y) (/ x y)) z))
(* y (- (+ (/ 1 y) (/ x y)) z))
(* -1 (* y z))
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* -1 (* y z))))
(* -1 (* y z))
(* z (- (+ (/ 1 z) (/ x z)) y))
(* z (- (+ (/ 1 z) (/ x z)) y))
(* z (- (+ (/ 1 z) (/ x z)) y))
(* -1 (* y z))
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))
(/ 1 (- 1 (* y z)))
(+ (* -1 (/ x (pow (- 1 (* y z)) 2))) (/ 1 (- 1 (* y z))))
(+ (* x (- (/ x (pow (- 1 (* y z)) 3)) (/ 1 (pow (- 1 (* y z)) 2)))) (/ 1 (- 1 (* y z))))
(+ (* x (- (* x (+ (* -1 (/ x (pow (- 1 (* y z)) 4))) (/ 1 (pow (- 1 (* y z)) 3)))) (/ 1 (pow (- 1 (* y z)) 2)))) (/ 1 (- 1 (* y z))))
(/ 1 x)
(/ (- (+ 1 (/ (* y z) x)) (/ 1 x)) x)
(/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* y z)) (- (* y z) 1)) (pow x 2))) (/ (* y z) x))) (/ 1 x)) x)
(/ (- (+ 1 (+ (/ (* y z) x) (/ (* (pow (- 1 (* y z)) 2) (- (* y z) 1)) (pow x 3)))) (+ (/ 1 x) (/ (* (- 1 (* y z)) (- (* y z) 1)) (pow x 2)))) x)
(/ 1 x)
(* -1 (/ (- (* -1 (/ (- (* y z) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- 1 (* y z)) (- (* y z) 1)) x)) (* y z)) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 1 (* y z)) 2) (- (* y z) 1)) x)) (* -1 (* (- 1 (* y z)) (- (* y z) 1)))) x)) (* y z)) 1) x)) 1) x))
(/ 1 (+ 1 x))
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))
(+ (* y (- (/ (* y (pow z 2)) (pow (+ 1 x) 3)) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))
(+ (* y (- (* y (- (/ (* y (pow z 3)) (pow (+ 1 x) 4)) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))
(/ -1 (* y z))
(/ (- (* -1 (/ (+ (/ 1 (pow z 2)) (/ x (pow z 2))) y)) (/ 1 z)) y)
(/ (- (* -1 (/ (* (+ 1 x) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) (* (pow y 2) z))) (+ (/ 1 z) (+ (/ 1 (* y (pow z 2))) (/ x (* y (pow z 2)))))) y)
(/ (- (* -1 (/ (* (pow (+ 1 x) 2) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) (* (pow y 3) (pow z 2)))) (+ (/ 1 z) (+ (/ 1 (* y (pow z 2))) (+ (/ x (* y (pow z 2))) (/ (* (+ 1 x) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) (* (pow y 2) z)))))) y)
(/ -1 (* y z))
(* -1 (/ (+ (/ 1 z) (+ (/ 1 (* y (pow z 2))) (/ x (* y (pow z 2))))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ 1 x) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) (* y z))) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) y)) (/ 1 z)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 1 x) 2) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) (* y (pow z 2))) (* -1 (/ (* (+ 1 x) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) z))) y)) (+ (/ 1 (pow z 2)) (/ x (pow z 2)))) y)) (/ 1 z)) y))
(/ 1 (+ 1 x))
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))
(+ (* z (- (/ (* (pow y 2) z) (pow (+ 1 x) 3)) (* -1 (/ y (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))
(+ (* z (- (* z (- (/ (* (pow y 3) z) (pow (+ 1 x) 4)) (* -1 (/ (pow y 2) (pow (+ 1 x) 3))))) (* -1 (/ y (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))
(/ -1 (* y z))
(/ (- (* -1 (/ (+ (/ 1 (pow y 2)) (/ x (pow y 2))) z)) (/ 1 y)) z)
(/ (- (* -1 (/ (* (+ 1 x) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) (* y (pow z 2)))) (+ (/ 1 y) (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z))))) z)
(/ (- (* -1 (/ (* (pow (+ 1 x) 2) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) (* (pow y 2) (pow z 3)))) (+ (/ 1 y) (+ (/ 1 (* (pow y 2) z)) (+ (/ x (* (pow y 2) z)) (/ (* (+ 1 x) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) (* y (pow z 2))))))) z)
(/ -1 (* y z))
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ 1 x) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) (* y z))) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) z)) (/ 1 y)) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 1 x) 2) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) (* (pow y 2) z)) (* -1 (/ (* (+ 1 x) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) y))) z)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) z)) (/ 1 y)) z))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(* -1 (* y z))
(* y (- (/ 1 y) z))
(* y (- (/ 1 y) z))
(* y (- (/ 1 y) z))
(* -1 (* y z))
(* y (+ (* -1 z) (/ 1 y)))
(* y (+ (* -1 z) (/ 1 y)))
(* y (+ (* -1 z) (/ 1 y)))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(* -1 (* y z))
(* z (- (/ 1 z) y))
(* z (- (/ 1 z) y))
(* z (- (/ 1 z) y))
(* -1 (* y z))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* y (- (* -1/2 y) z)))
(+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))
(- (cos y) (* z (sin y)))
(- (cos y) (* z (sin y)))
(- (cos y) (* z (sin y)))
(- (cos y) (* z (sin y)))
(- (cos y) (* z (sin y)))
(- (cos y) (* z (sin y)))
(- (cos y) (* z (sin y)))
(- (cos y) (* z (sin y)))
(cos y)
(+ (cos y) (* -1 (* z (sin y))))
(+ (cos y) (* -1 (* z (sin y))))
(+ (cos y) (* -1 (* z (sin y))))
(* -1 (* z (sin y)))
(* z (- (/ (cos y) z) (sin y)))
(* z (- (/ (cos y) z) (sin y)))
(* z (- (/ (cos y) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
Outputs
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(- x (* z (sin y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(- x (* z (sin y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(- x (* z (sin y)))
(-.f64 x (*.f64 z (sin.f64 y)))
x
(* x (+ 1 (* -1 (/ (* z (sin y)) x))))
(-.f64 x (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))))
(* x (+ 1 (* -1 (/ (* z (sin y)) x))))
(-.f64 x (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))))
(* x (+ 1 (* -1 (/ (* z (sin y)) x))))
(-.f64 x (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))))
x
(* -1 (* x (- (/ (* z (sin y)) x) 1)))
(neg.f64 (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal -1 binary64))))
(* -1 (* x (- (/ (* z (sin y)) x) 1)))
(neg.f64 (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal -1 binary64))))
(* -1 (* x (- (/ (* z (sin y)) x) 1)))
(neg.f64 (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal -1 binary64))))
x
(+ x (* -1 (* z (sin y))))
(-.f64 x (*.f64 z (sin.f64 y)))
(+ x (* -1 (* z (sin y))))
(-.f64 x (*.f64 z (sin.f64 y)))
(+ x (* -1 (* z (sin y))))
(-.f64 x (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* z (- (/ x z) (sin y)))
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y)))
(* z (- (/ x z) (sin y)))
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y)))
(* z (- (/ x z) (sin y)))
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))
(*.f64 z (-.f64 (/.f64 x z) (sin.f64 y)))
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(/.f64 (-.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y))) (*.f64 z (*.f64 z y))) (/.f64 #s(literal -1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y y))) (/.f64 x (*.f64 z (*.f64 y y))))) z)
(/ (- (* -1 (/ (* (pow (+ 1 x) 2) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) (* (pow y 2) (pow z 3)))) (+ (/ 1 y) (+ (/ 1 (* (pow y 2) z)) (+ (/ x (* (pow y 2) z)) (/ (* (+ 1 x) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) (* y (pow z 2))))))) z)
(/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 z (*.f64 z z))))) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) y)) (fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y))) (*.f64 z (*.f64 z y))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y y))) (/.f64 x (*.f64 z (*.f64 y y)))))) z)
(/ -1 (* y z))
(/.f64 #s(literal -1 binary64) (*.f64 z y))
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z)))) z))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y y))) (/.f64 x (*.f64 z (*.f64 y y))))) z)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ 1 x) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) (* y z))) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) z)) (/ 1 y)) z))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y))) (*.f64 z y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y)))) z)) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 1 x) 2) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) (* (pow y 2) z)) (* -1 (/ (* (+ 1 x) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) y))) z)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) z)) (/ 1 y)) z))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y))) (*.f64 z (*.f64 y y))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y))) (/.f64 (+.f64 x #s(literal 1 binary64)) y))) z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y)))) z)) (neg.f64 z))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y z)))
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
(+ 1 (* -1 (* y z)))
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
(+ 1 (* -1 (* y z)))
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* y (- (/ 1 y) z))
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
(* y (- (/ 1 y) z))
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
(* y (- (/ 1 y) z))
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* y (+ (* -1 z) (/ 1 y)))
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
(* y (+ (* -1 z) (/ 1 y)))
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
(* y (+ (* -1 z) (/ 1 y)))
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y z)))
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
(+ 1 (* -1 (* y z)))
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
(+ 1 (* -1 (* y z)))
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* z (- (/ 1 z) y))
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
(* z (- (/ 1 z) y))
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
(* z (- (/ 1 z) y))
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* z (+ (* -1 y) (/ 1 z)))
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
(* z (+ (* -1 y) (/ 1 z)))
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
(* z (+ (* -1 y) (/ 1 z)))
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y z)))
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
(+ 1 (* y (- (* -1/2 y) z)))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) #s(literal 1 binary64))
(- (cos y) (* z (sin y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(- (cos y) (* z (sin y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(- (cos y) (* z (sin y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(- (cos y) (* z (sin y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(- (cos y) (* z (sin y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(- (cos y) (* z (sin y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(- (cos y) (* z (sin y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(- (cos y) (* z (sin y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(cos y)
(cos.f64 y)
(+ (cos y) (* -1 (* z (sin y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (cos y) (* -1 (* z (sin y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (cos y) (* -1 (* z (sin y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* z (- (/ (cos y) z) (sin y)))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (- (/ (cos y) z) (sin y)))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (- (/ (cos y) z) (sin y)))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 y (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64)))) z))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)

eval195.0ms (1.9%)

Memory
-0.8MiB live, 355.2MiB allocated
Compiler

Compiled 27 808 to 2 899 computations (89.6% saved)

prune191.0ms (1.8%)

Memory
5.9MiB live, 449.8MiB allocated
Pruning

37 alts after pruning (29 fresh and 8 done)

PrunedKeptTotal
New1 486181 504
Fresh71118
Picked325
Done268
Total1 498371 535
Accuracy
100.0%
Counts
1 535 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.0%
(fma.f64 (sin.f64 y) (neg.f64 z) x)
27.4%
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
26.7%
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) #s(literal 1 binary64))
48.7%
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/12 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) x)
51.6%
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 y y)) x)
75.5%
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) x)
52.5%
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (cos.f64 y) x))
49.7%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 z (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x)))
4.8%
(/.f64 (*.f64 (neg.f64 y) (*.f64 z (*.f64 z y))) (+.f64 #s(literal 0 binary64) (*.f64 z y)))
62.4%
(/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
13.1%
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) #s(literal -1/2 binary64)))
59.8%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
21.2%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (fma.f64 x (/.f64 x (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 x (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z))
6.5%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y y))) (/.f64 x (*.f64 z (*.f64 y y))))) z))
42.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
42.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y #s(literal -1 binary64)) x)) x))
27.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 y) #s(literal 1 binary64))))
53.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y))))
47.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
26.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
99.9%
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
54.2%
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
62.5%
(-.f64 x (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))))
47.5%
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
48.7%
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
75.6%
(+.f64 (cos.f64 y) x)
65.3%
(+.f64 x #s(literal 1 binary64))
30.1%
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (neg.f64 (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 z (sin.f64 y) x)))
45.2%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 z y) x)) (-.f64 #s(literal 1 binary64) (fma.f64 z y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 z y x))))
2.6%
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z) y)
53.2%
(*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y))
2.6%
(*.f64 z (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64)))
6.9%
(*.f64 z (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
10.0%
(*.f64 z (neg.f64 y))
26.0%
(neg.f64 (*.f64 z (sin.f64 y)))
30.2%
(cos.f64 y)
20.6%
#s(literal 1 binary64)
Compiler

Compiled 1 286 to 573 computations (55.4% saved)

regimes70.0ms (0.7%)

Memory
15.3MiB live, 131.8MiB allocated
Counts
56 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(*.f64 z (neg.f64 y))
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 y y)) x)
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) #s(literal 1 binary64))
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 y y))))
(*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(*.f64 z (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z) y)
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(*.f64 z (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/12 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (neg.f64 y) (*.f64 z (*.f64 z y))) (+.f64 #s(literal 0 binary64) (*.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y #s(literal -1 binary64)) x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 z y) x)) (-.f64 #s(literal 1 binary64) (fma.f64 z y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 z y x))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y y))) (/.f64 x (*.f64 z (*.f64 y y))))) z))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(neg.f64 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (neg.f64 (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 z (sin.f64 y) x)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 z (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 z (sin.f64 y) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) x)
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
(-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
(-.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 z (sin.f64 y)))
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (fma.f64 x (/.f64 x (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 x (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (+.f64 (/.f64 x (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (neg.f64 z)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

18.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
17.0ms
z
17.0ms
x
16.0ms
y
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes52.0ms (0.5%)

Memory
-18.9MiB live, 100.5MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(*.f64 z (neg.f64 y))
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 y y)) x)
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) #s(literal 1 binary64))
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 y y))))
(*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(*.f64 z (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z) y)
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(*.f64 z (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/12 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (neg.f64 y) (*.f64 z (*.f64 z y))) (+.f64 #s(literal 0 binary64) (*.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y #s(literal -1 binary64)) x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 z y) x)) (-.f64 #s(literal 1 binary64) (fma.f64 z y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 z y x))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y y))) (/.f64 x (*.f64 z (*.f64 y y))))) z))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(neg.f64 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (cos.f64 y) x)
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

14.0ms
y
12.0ms
x
12.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
11.0ms
z
Results
AccuracySegmentsBranch
99.3%3x
89.2%1y
99.5%3z
99.6%3(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes33.0ms (0.3%)

Memory
27.5MiB live, 66.1MiB allocated
Counts
35 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(*.f64 z (neg.f64 y))
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 y y)) x)
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) #s(literal 1 binary64))
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 y y))))
(*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(*.f64 z (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z) y)
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(*.f64 z (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/12 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (neg.f64 y) (*.f64 z (*.f64 z y))) (+.f64 #s(literal 0 binary64) (*.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y #s(literal -1 binary64)) x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 z y) x)) (-.f64 #s(literal 1 binary64) (fma.f64 z y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 z y x))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y y))) (/.f64 x (*.f64 z (*.f64 y y))))) z))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(neg.f64 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (cos.f64 y) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
Calls

3 calls:

11.0ms
z
10.0ms
x
10.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
81.2%3x
91.3%3z
98.9%3(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 20 to 14 computations (30% saved)

regimes34.0ms (0.3%)

Memory
-5.4MiB live, 74.4MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(*.f64 z (neg.f64 y))
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 y y)) x)
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) #s(literal 1 binary64))
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 y y))))
(*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(*.f64 z (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z) y)
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(*.f64 z (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/12 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (neg.f64 y) (*.f64 z (*.f64 z y))) (+.f64 #s(literal 0 binary64) (*.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y #s(literal -1 binary64)) x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 z y) x)) (-.f64 #s(literal 1 binary64) (fma.f64 z y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 z y x))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y y))) (/.f64 x (*.f64 z (*.f64 y y))))) z))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(neg.f64 (*.f64 z (sin.f64 y)))
Outputs
(neg.f64 (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(neg.f64 (*.f64 z (sin.f64 y)))
Calls

3 calls:

11.0ms
y
10.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
10.0ms
z
Results
AccuracySegmentsBranch
85.6%3z
82.8%3y
75.6%1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 20 to 14 computations (30% saved)

regimes25.0ms (0.2%)

Memory
-17.4MiB live, 58.7MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(*.f64 z (neg.f64 y))
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 y y)) x)
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) #s(literal 1 binary64))
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 y y))))
(*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(*.f64 z (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z) y)
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(*.f64 z (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/12 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (neg.f64 y) (*.f64 z (*.f64 z y))) (+.f64 #s(literal 0 binary64) (*.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y #s(literal -1 binary64)) x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 z y) x)) (-.f64 #s(literal 1 binary64) (fma.f64 z y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 z y x))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y y))) (/.f64 x (*.f64 z (*.f64 y y))))) z))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
Outputs
(+.f64 (cos.f64 y) x)
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))
(+.f64 (cos.f64 y) x)
Calls

2 calls:

13.0ms
y
11.0ms
z
Results
AccuracySegmentsBranch
82.8%3y
80.3%2z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes57.0ms (0.5%)

Memory
4.9MiB live, 95.8MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(*.f64 z (neg.f64 y))
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 y y)) x)
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) #s(literal 1 binary64))
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 y y))))
(*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(*.f64 z (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z) y)
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(*.f64 z (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/12 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (neg.f64 y) (*.f64 z (*.f64 z y))) (+.f64 #s(literal 0 binary64) (*.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y #s(literal -1 binary64)) x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 z y) x)) (-.f64 #s(literal 1 binary64) (fma.f64 z y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 z y x))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y y))) (/.f64 x (*.f64 z (*.f64 y y))))) z))
(cos.f64 y)
Outputs
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(cos.f64 y)
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
Calls

4 calls:

24.0ms
x
12.0ms
z
9.0ms
y
9.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
77.6%3(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
75.0%3x
70.1%2z
72.5%3y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes36.0ms (0.3%)

Memory
-18.2MiB live, 57.0MiB allocated
Counts
31 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(*.f64 z (neg.f64 y))
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 y y)) x)
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) #s(literal 1 binary64))
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 y y))))
(*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(*.f64 z (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z) y)
(*.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(*.f64 z (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/12 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
(+.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (neg.f64 y) (*.f64 z (*.f64 z y))) (+.f64 #s(literal 0 binary64) (*.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y #s(literal -1 binary64)) x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) z) y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 z y) x)) (-.f64 #s(literal 1 binary64) (fma.f64 z y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 z y x))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y y))) (/.f64 x (*.f64 z (*.f64 y y))))) z))
Outputs
(+.f64 x #s(literal 1 binary64))
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Calls

3 calls:

13.0ms
y
12.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
9.0ms
x
Results
AccuracySegmentsBranch
72.5%3y
71.5%3x
67.2%1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 20 to 14 computations (30% saved)

regimes4.0ms (0%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(*.f64 z (neg.f64 y))
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 y y)) x)
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) #s(literal 1 binary64))
Outputs
(+.f64 x #s(literal 1 binary64))
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
72.4%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Memory
15.8MiB live, 15.8MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(*.f64 z (neg.f64 y))
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
Outputs
(+.f64 x #s(literal 1 binary64))
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
Calls

3 calls:

2.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
70.9%3x
67.8%2z
65.3%1y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.1%)

Memory
-25.7MiB live, 13.2MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(*.f64 z (neg.f64 y))
Outputs
(+.f64 x #s(literal 1 binary64))
(*.f64 z (neg.f64 y))
Calls

3 calls:

4.0ms
z
2.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
x
Results
AccuracySegmentsBranch
67.4%2z
65.3%1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
65.3%1x
Compiler

Compiled 20 to 14 computations (30% saved)

regimes2.0ms (0%)

Memory
4.3MiB live, 4.4MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
Outputs
(+.f64 x #s(literal 1 binary64))
Calls

1 calls:

2.0ms
z
Results
AccuracySegmentsBranch
65.3%1z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
Calls

4 calls:

1.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
z
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
20.6%1x
20.6%1y
20.6%1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
20.6%1z
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9812993543865846
0.9999999308511386
0.0ms
-1666679377562.662
-14090434.65958473
Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
365624270486245.44
1.292820756686932e+19
0.0ms
-1666679377562.662
-14090434.65958473
Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch40.0ms (0.4%)

Memory
-10.1MiB live, 35.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
29.0ms
5.905194513742182e+152
6.724355495847453e+155
9.0ms
-3.860608597732769e+224
-1.3493245665913189e+224
Samples
17.0ms208×0valid
Compiler

Compiled 236 to 183 computations (22.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-cos: 4.0ms (34.5% of total)
ival-sin: 4.0ms (34.5% of total)
ival-sub: 1.0ms (8.6% of total)
ival-add: 1.0ms (8.6% of total)
ival-mult: 1.0ms (8.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch40.0ms (0.4%)

Memory
19.4MiB live, 56.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
4.2287225423087196e-7
3378.860185238779
23.0ms
-7.12760808663347e+52
-2.2204227299298035e+50
Samples
23.0ms288×0valid
Compiler

Compiled 411 to 302 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 6.0ms (36.7% of total)
ival-sin: 6.0ms (36.7% of total)
ival-mult: 2.0ms (12.2% of total)
ival-sub: 1.0ms (6.1% of total)
ival-add: 1.0ms (6.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9812993543865846
0.9999999308511386
0.0ms
-14090434.65958473
-0.9999856723343084
Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch34.0ms (0.3%)

Memory
9.0MiB live, 46.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
4373837124745905.0
7774575052432688.0
23.0ms
-4.6253489972594514e+20
-504788340732114800.0
Samples
24.0ms192×0valid
Compiler

Compiled 267 to 206 computations (22.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-cos: 10.0ms (51.2% of total)
ival-sin: 6.0ms (30.7% of total)
ival-sub: 1.0ms (5.1% of total)
ival-add: 1.0ms (5.1% of total)
ival-mult: 1.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch44.0ms (0.4%)

Memory
-26.4MiB live, 52.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
2.6133441433623677e+67
6.826119479136539e+71
19.0ms
-4.6253489972594514e+20
-504788340732114800.0
Samples
33.0ms240×0valid
Compiler

Compiled 287 to 222 computations (22.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-cos: 11.0ms (40.4% of total)
ival-sin: 7.0ms (25.7% of total)
ival-mult: 6.0ms (22% of total)
ival-sub: 1.0ms (3.7% of total)
ival-add: 1.0ms (3.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch46.0ms (0.4%)

Memory
19.7MiB live, 56.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
0.4730032706482545
365624270486244.44
18.0ms
-4.2369678323240466e-7
-4.43257951021326e-18
Samples
29.0ms309×0valid
1.0ms3valid
1.0ms1valid
0.0ms2valid
Compiler

Compiled 335 to 274 computations (18.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-sin: 10.0ms (42.7% of total)
ival-cos: 8.0ms (34.2% of total)
ival-sub: 2.0ms (8.5% of total)
ival-add: 2.0ms (8.5% of total)
ival-mult: 2.0ms (8.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Memory
-18.9MiB live, 18.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
1.8982841916142878e+205
4.162828984400095e+207
Samples
9.0ms112×0valid
Compiler

Compiled 120 to 98 computations (18.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 2.0ms (31.9% of total)
ival-sin: 2.0ms (31.9% of total)
ival-add: 1.0ms (16% of total)
ival-mult: 1.0ms (16% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Memory
15.0MiB live, 15.1MiB allocated
Algorithm
egg-herbie
Rules
24×+-commutative_binary64
20×*-commutative_binary64
20×sub-neg_binary64
12×neg-sub0_binary64
12×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072255
199255
2123255
3133255
4136255
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1000000000000 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) x) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 4458563631096791/4503599627370496 binary64)) (+.f64 (cos.f64 y) x) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1000000000000 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) x) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 500000000000000 binary64)) (+.f64 (cos.f64 y) x) (fma.f64 (sin.f64 y) (neg.f64 z) x)))
(if (<=.f64 z #s(literal -134999999999999992807008869416731225926484980280336045169135113384444654792105546384294437018216071506723710152304052390772622075430636811986018302758689344254191960787178284553635717412856802630012138112024760864613714624512 binary64)) (neg.f64 (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 110000000000000011507058562473419478732976770901436004752438097511792917535279055179127954487954226462107988599498470682665928285010969485275828793945096192 binary64)) (+.f64 (cos.f64 y) x) (neg.f64 (*.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -225000000000000006782388425387090500352678526189568 binary64)) (+.f64 (cos.f64 y) x) (if (<=.f64 y #s(literal 1098878309078401/36028797018963968 binary64)) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) (+.f64 (cos.f64 y) x)))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -10000000 binary64)) (-.f64 x (fma.f64 y z #s(literal -1 binary64))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 4458563631096791/4503599627370496 binary64)) (cos.f64 y) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -820000000000000000 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 4400000000000000 binary64)) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -275000000000000000000 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 26499999999999999767011209767868523776771414925510542357380678549504 binary64)) (-.f64 x (fma.f64 y z #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1239148965104995/151115727451828646838272 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1080863910568919/2251799813685248 binary64)) (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 z #s(literal 180000000000000014129657424230589946762157682638068819147413830189719221250881123391161386857738278912676396244886996078564315809278249033928334188147405964907765567338670167523961299141694687699270958579712 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 z (neg.f64 y)))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1000000000000 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) x) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 4458563631096791/4503599627370496 binary64)) (+.f64 (cos.f64 y) x) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1000000000000 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) x) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 4458563631096791/4503599627370496 binary64)) (+.f64 x (cos.f64 y)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1000000000000 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) x) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 500000000000000 binary64)) (+.f64 (cos.f64 y) x) (fma.f64 (sin.f64 y) (neg.f64 z) x)))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1000000000000 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) x) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 500000000000000 binary64)) (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) (neg.f64 z) x)))
(if (<=.f64 z #s(literal -134999999999999992807008869416731225926484980280336045169135113384444654792105546384294437018216071506723710152304052390772622075430636811986018302758689344254191960787178284553635717412856802630012138112024760864613714624512 binary64)) (neg.f64 (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 110000000000000011507058562473419478732976770901436004752438097511792917535279055179127954487954226462107988599498470682665928285010969485275828793945096192 binary64)) (+.f64 (cos.f64 y) x) (neg.f64 (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -134999999999999992807008869416731225926484980280336045169135113384444654792105546384294437018216071506723710152304052390772622075430636811986018302758689344254191960787178284553635717412856802630012138112024760864613714624512 binary64)) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z #s(literal 110000000000000011507058562473419478732976770901436004752438097511792917535279055179127954487954226462107988599498470682665928285010969485275828793945096192 binary64)) (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))))
(if (<=.f64 y #s(literal -225000000000000006782388425387090500352678526189568 binary64)) (+.f64 (cos.f64 y) x) (if (<=.f64 y #s(literal 1098878309078401/36028797018963968 binary64)) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) (+.f64 (cos.f64 y) x)))
(if (<=.f64 y #s(literal -225000000000000006782388425387090500352678526189568 binary64)) (+.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 1098878309078401/36028797018963968 binary64)) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) (+.f64 x (cos.f64 y))))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -10000000 binary64)) (-.f64 x (fma.f64 y z #s(literal -1 binary64))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 4458563631096791/4503599627370496 binary64)) (cos.f64 y) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -820000000000000000 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 4400000000000000 binary64)) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -275000000000000000000 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 26499999999999999767011209767868523776771414925510542357380678549504 binary64)) (-.f64 x (fma.f64 y z #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1239148965104995/151115727451828646838272 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1080863910568919/2251799813685248 binary64)) (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 z #s(literal 180000000000000014129657424230589946762157682638068819147413830189719221250881123391161386857738278912676396244886996078564315809278249033928334188147405964907765567338670167523961299141694687699270958579712 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 z (neg.f64 y)))
(if (<=.f64 z #s(literal 180000000000000014129657424230589946762157682638068819147413830189719221250881123391161386857738278912676396244886996078564315809278249033928334188147405964907765567338670167523961299141694687699270958579712 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 y (neg.f64 z)))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)

soundness2.0s (19.2%)

Memory
-138.0MiB live, 1 051.4MiB allocated
Rules
15 916×lower-fma.f64
15 916×lower-fma.f32
12 396×lower-fma.f64
12 396×lower-fma.f32
10 116×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01891630
15071584
213821551
326661495
454921494
579751494
080581417
024112
043102
115498
296096
0942291
0821
01321
14721
238821
3563021
0822521
07807134
124956903
083276470
05153992
115873834
249673785
083673661
0118674
1334669
2869661
32601657
45310657
57449657
08079629
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 569 to 290 computations (49% saved)

preprocess70.0ms (0.7%)

Memory
-4.5MiB live, 150.3MiB allocated
Compiler

Compiled 540 to 158 computations (70.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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