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

Time bar (total: 10.6s)

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×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 (10.4%)

Memory
5.6MiB live, 1 502.2MiB allocated
Samples
819.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 606.0ms
ival-sin: 238.0ms (39.2% of total)
ival-cos: 203.0ms (33.5% of total)
ival-mult: 121.0ms (20% of total)
ival-add: 34.0ms (5.6% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess45.0ms (0.4%)

Memory
10.8MiB live, 49.0MiB allocated
Algorithm
1×egg-herbie
Rules
180×associate-*r*
160×unsub-neg
142×associate-*l*
136×distribute-lft-neg-in
110×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03587
17981
213981
330781
445881
569381
687181
795781
8103881
9110481
10111881
11112381
12112581
089
0139
1169
0168
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))

explain138.0ms (1.3%)

Memory
15.3MiB live, 223.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
00-0-(sin.f64 y)
00-0-(*.f64 z (cos.f64 y))
00-0-y
00-0-z
00-0-(*.f64 x (sin.f64 y))
00-0-(cos.f64 y)
00-0-x
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
49.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-sin: 13.0ms (39.8% of total)
ival-cos: 10.0ms (30.6% of total)
ival-mult: 6.0ms (18.4% of total)
ival-add: 2.0ms (6.1% 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
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify8.0ms (0.1%)

Memory
-34.3MiB live, 8.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 z (cos.f64 y))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(*.f64 x (sin.f64 y))
✓cost-diff128
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Rules
8×lower-fma.f64
8×lower-fma.f32
8×lower-*.f32
4×*-commutative
4×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01324
11624
01623
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(*.f64 z (cos.f64 y))
z
(cos.f64 y)

localize35.0ms (0.3%)

Memory
-0.5MiB live, 75.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 y)
✓accuracy100.0%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
✓accuracy99.9%
(*.f64 z (cos.f64 y))
✓accuracy99.9%
(*.f64 x (sin.f64 y))
Samples
24.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 6.0ms (37.2% of total)
ival-sin: 5.0ms (31% of total)
ival-mult: 3.0ms (18.6% of total)
ival-add: 1.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
22.4MiB live, 22.4MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (*.f64 x (sin.f64 y))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))>
#<alt (cos.f64 y)>
Outputs
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<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)>
Calls

24 calls:

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

rewrite721.0ms (6.8%)

Memory
-25.8MiB live, 776.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
11 480×lower-fma.f64
11 480×lower-fma.f32
4 168×lower-*.f32
4 164×lower-*.f64
4 070×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
01319
12919
218519
3183619
0839118
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 176
Calls
Call 1
Inputs
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(cos.f64 y)
Outputs
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64))
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) (neg.f64 z)))
(neg.f64 (*.f64 (cos.f64 y) (neg.f64 z)))
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) (neg.f64 z)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (cos.f64 y))))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (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 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(+.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) #s(literal -1 binary64)))
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) (neg.f64 z)))
(-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (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 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) (neg.f64 x) (*.f64 z (cos.f64 y)))) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
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(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (-.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 x z) (cos.f64 y))) #s(literal 3 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(cos.f64 y)

simplify414.0ms (3.9%)

Memory
14.0MiB live, 537.7MiB allocated
Algorithm
1×egg-herbie
Rules
14 952×lower-fma.f64
14 952×lower-fma.f32
3 722×lower-*.f64
3 722×lower-*.f32
3 012×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093620
1293616
2869612
32059606
43759606
56370606
08927556
Stop Event
1×iter limit
1×node limit
Counts
96 → 94
Calls
Call 1
Inputs
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
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)
Outputs
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 y (fma.f64 (*.f64 x (*.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)) x))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(fma.f64 (*.f64 y y) (*.f64 z (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))) z)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.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 y (*.f64 y (fma.f64 (*.f64 y 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)

simplify61.0ms (0.6%)

Memory
7.2MiB live, 122.7MiB allocated
Algorithm
1×egg-herbie
Rules
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04748976
14758976
04758976
Stop Event
1×saturated
1×saturated
Counts
176 → 0
Calls
Call 1
Inputs
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64))
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) (neg.f64 z)))
(neg.f64 (*.f64 (cos.f64 y) (neg.f64 z)))
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) (neg.f64 z)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (cos.f64 y))))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (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 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(+.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) #s(literal -1 binary64)))
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) (neg.f64 z)))
(-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (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 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) (neg.f64 x) (*.f64 z (cos.f64 y)))) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
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(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
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(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
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(*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(*.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.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 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.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) (pow.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2 binary64))))
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.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) (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.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 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (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 (*.f64 x (sin.f64 y)) (*.f64 z (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 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 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 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (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 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 x z) (cos.f64 y))) #s(literal 3 binary64))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (-.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 x z) (cos.f64 y))) #s(literal 3 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(cos.f64 y)
Outputs
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64))
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) (neg.f64 z)))
(neg.f64 (*.f64 (cos.f64 y) (neg.f64 z)))
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) (neg.f64 z)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (cos.f64 y))))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (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 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(+.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) #s(literal -1 binary64)))
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) (neg.f64 z)))
(-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (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 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
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(*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.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) (pow.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2 binary64))))
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.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) (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.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 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (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 (*.f64 x (sin.f64 y)) (*.f64 z (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 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 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 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (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 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 x z) (cos.f64 y))) #s(literal 3 binary64))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (-.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 x z) (cos.f64 y))) #s(literal 3 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(cos.f64 y)

eval18.0ms (0.2%)

Memory
4.9MiB live, 43.3MiB allocated
Compiler

Compiled 1 753 to 67 computations (96.2% saved)

prune14.0ms (0.1%)

Memory
-10.9MiB live, 30.9MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New17711188
Fresh000
Picked101
Done000
Total17811189
Accuracy
99.9%
Counts
189 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.2%
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) z)
53.9%
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
▶99.8%
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
▶54.8%
(fma.f64 x y z)
56.2%
(+.f64 (*.f64 y (fma.f64 (*.f64 x (*.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)) x)) (*.f64 z (cos.f64 y)))
56.1%
(+.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)) (*.f64 z (cos.f64 y)))
58.1%
(+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (*.f64 z (cos.f64 y)))
58.2%
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 (*.f64 y y) (*.f64 z (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))) z))
▶58.6%
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
▶60.7%
(*.f64 z (cos.f64 y))
40.7%
(*.f64 x (sin.f64 y))
Compiler

Compiled 354 to 210 computations (40.7% saved)

simplify60.0ms (0.6%)

Memory
11.4MiB live, 87.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(*.f64 x (sin.f64 y))
✓cost-diff128
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(*.f64 z (cos.f64 y))
✓cost-diff0
(*.f64 y #s(literal -1/6 binary64))
✓cost-diff0
(fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))
✓cost-diff0
(fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x)
✓cost-diff0
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) z)
✓cost-diff0
(fma.f64 x y z)
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(*.f64 z (cos.f64 y))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
Rules
1 788×lower-fma.f32
1 774×lower-fma.f64
760×lower-*.f32
748×lower-*.f64
444×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022137
044137
188137
2211137
3516137
4736137
5786137
6792137
7980137
8994137
91050137
101050137
01050136
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
x
(sin.f64 y)
y
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
(fma.f64 x y z)
x
y
z
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) z)
y
(fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x)
(fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))
x
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
y
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
(*.f64 y y)
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
z
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
Outputs
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
x
(sin.f64 y)
y
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
(fma.f64 x y z)
x
y
z
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) z)
y
(fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x)
(fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))
x
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
y
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
(fma.f64 x (sin.f64 y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y (*.f64 y z)) z))
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y (*.f64 y z)) z)
(*.f64 y y)
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
z
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)

localize278.0ms (2.6%)

Memory
-33.2MiB live, 139.1MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
✓accuracy99.9%
(*.f64 x (sin.f64 y))
✓accuracy99.8%
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
✓accuracy94.5%
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.9%
(*.f64 z (cos.f64 y))
✓accuracy99.9%
(fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x)
✓accuracy99.9%
(fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))
✓accuracy99.9%
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) z)
✓accuracy99.5%
(*.f64 y #s(literal -1/6 binary64))
✓accuracy100.0%
(fma.f64 x y z)
✓accuracy100.0%
(sin.f64 y)
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.9%
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
✓accuracy99.9%
(*.f64 z (cos.f64 y))
Samples
222.0ms256×0valid
Compiler

Compiled 153 to 30 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 176.0ms
ival-mult: 148.0ms (84.1% of total)
ival-add: 8.0ms (4.5% of total)
const: 8.0ms (4.5% of total)
ival-sin: 7.0ms (4% of total)
ival-cos: 5.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
37.1MiB live, 37.1MiB allocated
Counts
13 → 324
Calls
Call 1
Inputs
#<alt (*.f64 z (cos.f64 y))>
#<alt (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))>
#<alt (cos.f64 y)>
#<alt (sin.f64 y)>
#<alt (fma.f64 x y z)>
#<alt (*.f64 y #s(literal -1/6 binary64))>
#<alt (fma.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) z)>
#<alt (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))>
#<alt (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x)>
#<alt (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))>
#<alt (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))>
#<alt (*.f64 x (sin.f64 y))>
#<alt (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)>
Outputs
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<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>
#<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 z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* x y)>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt z>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<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 z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))>
#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3))))))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x))))>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))>
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))>
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))>
#<alt (* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1/2 z)>
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))>
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))>
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))>
#<alt (* -1/6 (* x y))>
#<alt (* x (+ (* -1/2 (/ z x)) (* -1/6 y)))>
#<alt (* x (+ (* -1/2 (/ z x)) (* -1/6 y)))>
#<alt (* x (+ (* -1/2 (/ z x)) (* -1/6 y)))>
#<alt (* -1/6 (* x y))>
#<alt (* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))>
#<alt (* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))>
#<alt (* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))>
#<alt (* -1/2 z)>
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))>
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))>
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))>
#<alt (* -1/6 (* x y))>
#<alt (* y (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* y (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* y (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* -1/6 (* x y))>
#<alt (* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))>
#<alt (* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))>
#<alt (* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))>
#<alt (* -1/6 (* x y))>
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))>
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))>
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))>
#<alt (* -1/2 z)>
#<alt (* z (- (* -1/6 (/ (* x y) z)) 1/2))>
#<alt (* z (- (* -1/6 (/ (* x y) z)) 1/2))>
#<alt (* z (- (* -1/6 (/ (* x y) z)) 1/2))>
#<alt (* -1/2 z)>
#<alt (* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))>
#<alt x>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))>
#<alt (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x)))>
#<alt (* -1/2 (* y z))>
#<alt (+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))>
#<alt (* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))>
#<alt (* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))>
#<alt (+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))>
#<alt (+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))>
#<alt (* -1/2 (* y z))>
#<alt (* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))>
#<alt (* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))>
#<alt (* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* -1/2 z)>
#<alt (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))>
#<alt (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))>
#<alt (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))>
#<alt (* 1/24 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* 1/24 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt -1/2>
#<alt (- (* 1/24 (pow y 2)) 1/2)>
#<alt (- (* 1/24 (pow y 2)) 1/2)>
#<alt (- (* 1/24 (pow y 2)) 1/2)>
#<alt (* 1/24 (pow y 2))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* 1/24 (pow y 2))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (* 1/24 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))>
#<alt (* 1/24 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))>
Calls

81 calls:

TimeVariablePointExpression
3.0ms
z
@0
(* z (+ (* (* y y) 1/24) -1/2))
1.0ms
z
@inf
(+ (* x y) z)
1.0ms
z
@inf
(+ (* (* y y) (* z (+ (* (* y y) 1/24) -1/2))) z)
1.0ms
x
@0
(+ (* y (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x)) z)
1.0ms
z
@0
(+ (* y (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x)) z)

rewrite370.0ms (3.5%)

Memory
-4.1MiB live, 624.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 234×lower-*.f32
5 222×lower-*.f64
5 134×lower-fma.f32
5 120×lower-fma.f64
4 256×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02187
04287
116887
2134487
0824687
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 363
Calls
Call 1
Inputs
(*.f64 z (cos.f64 y))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(cos.f64 y)
(sin.f64 y)
(fma.f64 x y z)
(*.f64 y #s(literal -1/6 binary64))
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) z)
(fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x)
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(*.f64 x (sin.f64 y))
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
Outputs
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (neg.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (fma.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(*.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(cos.f64 y)
(sin.f64 y)
(+.f64 z (*.f64 y x))
(+.f64 (*.f64 y x) z)
(+.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (-.f64 (*.f64 y x) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z))))
(-.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (-.f64 (*.f64 y x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z)))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 y x))) (/.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (-.f64 z (*.f64 y x))))
(fma.f64 y x z)
(fma.f64 x y z)
(fma.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z))))
(/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 (*.f64 y y) (*.f64 x x)))) (fma.f64 z (-.f64 z (*.f64 y x)) (*.f64 (*.f64 y y) (*.f64 x x))))
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(*.f64 (neg.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (-.f64 z (*.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))))))
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (neg.f64 z)))))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))
(*.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))))

simplify446.0ms (4.2%)

Memory
-3.7MiB live, 674.4MiB allocated
Algorithm
1×egg-herbie
Rules
17 168×lower-fma.f64
17 168×lower-fma.f32
4 804×lower-*.f64
4 804×lower-*.f32
3 018×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02812949
19402870
229872833
368552808
084342525
Stop Event
1×iter limit
1×node limit
Counts
324 → 314
Calls
Call 1
Inputs
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
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
(* 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)
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -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)
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(* -1/6 (* x (pow y 3)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3))))))
(* -1/6 (* x (pow y 3)))
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x))))
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1/2 z)
(+ (* -1/2 z) (* -1/6 (* x y)))
(+ (* -1/2 z) (* -1/6 (* x y)))
(+ (* -1/2 z) (* -1/6 (* x y)))
(* -1/6 (* x y))
(* x (+ (* -1/2 (/ z x)) (* -1/6 y)))
(* x (+ (* -1/2 (/ z x)) (* -1/6 y)))
(* x (+ (* -1/2 (/ z x)) (* -1/6 y)))
(* -1/6 (* x y))
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))
(* -1/2 z)
(+ (* -1/2 z) (* -1/6 (* x y)))
(+ (* -1/2 z) (* -1/6 (* x y)))
(+ (* -1/2 z) (* -1/6 (* x y)))
(* -1/6 (* x y))
(* y (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* y (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* y (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* -1/6 (* x y))
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))
(* -1/6 (* x y))
(+ (* -1/2 z) (* -1/6 (* x y)))
(+ (* -1/2 z) (* -1/6 (* x y)))
(+ (* -1/2 z) (* -1/6 (* x y)))
(* -1/2 z)
(* z (- (* -1/6 (/ (* x y) z)) 1/2))
(* z (- (* -1/6 (/ (* x y) z)) 1/2))
(* z (- (* -1/6 (/ (* x y) z)) 1/2))
(* -1/2 z)
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))
x
(+ x (* -1/2 (* y z)))
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x)))
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
(* -1/2 (* y z))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* -1/2 z)
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
(* 1/24 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* 1/24 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
-1/2
(- (* 1/24 (pow y 2)) 1/2)
(- (* 1/24 (pow y 2)) 1/2)
(- (* 1/24 (pow y 2)) 1/2)
(* 1/24 (pow y 2))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* 1/24 (pow y 2))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(* 1/24 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))
(* 1/24 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))
Outputs
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(fma.f64 (*.f64 y y) (*.f64 z (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))) z)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
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(fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))
x
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(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x)
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(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x)
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(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
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(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
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(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
-1/2
#s(literal -1/2 binary64)
(- (* 1/24 (pow y 2)) 1/2)
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(- (* 1/24 (pow y 2)) 1/2)
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(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
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(*.f64 y (*.f64 y (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))))
(* x (sin y))
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(*.f64 x (sin.f64 y))
z
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(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)
(* 1/24 (* (pow y 4) z))
(*.f64 (*.f64 z #s(literal 1/24 binary64)) (*.f64 (*.f64 y y) (*.f64 y y)))
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(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)
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(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)
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(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)
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(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)

simplify157.0ms (1.5%)

Memory
5.2MiB live, 275.3MiB allocated
Algorithm
1×egg-herbie
Rules
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104914949
1105114949
0105114949
Stop Event
1×saturated
1×saturated
Counts
363 → 0
Calls
Call 1
Inputs
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
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(*.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))))
Outputs
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (neg.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (fma.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(*.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(cos.f64 y)
(sin.f64 y)
(+.f64 z (*.f64 y x))
(+.f64 (*.f64 y x) z)
(+.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (-.f64 (*.f64 y x) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z))))
(-.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (-.f64 (*.f64 y x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z)))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 y x))) (/.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (-.f64 z (*.f64 y x))))
(fma.f64 y x z)
(fma.f64 x y z)
(fma.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z))))
(/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 (*.f64 y y) (*.f64 x x)))) (fma.f64 z (-.f64 z (*.f64 y x)) (*.f64 (*.f64 y y) (*.f64 x x))))
(/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 (*.f64 y y) (*.f64 x x)))) (fma.f64 z z (-.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z (*.f64 y x)))))
(/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z))
(/.f64 (neg.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 (*.f64 y y) (*.f64 x x))))) (neg.f64 (fma.f64 z (-.f64 z (*.f64 y x)) (*.f64 (*.f64 y y) (*.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 (*.f64 y y) (*.f64 x x))))) (neg.f64 (fma.f64 z z (-.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z (*.f64 y x))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (neg.f64 (-.f64 (*.f64 y x) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z (*.f64 y x)))) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 (*.f64 y y) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x z)) #s(literal 1 binary64)))
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(*.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (neg.f64 z))))
(*.f64 (neg.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (-.f64 z (*.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))))))
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (neg.f64 z)))))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))
(*.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))))

eval173.0ms (1.6%)

Memory
7.9MiB live, 127.0MiB allocated
Compiler

Compiled 9 075 to 216 computations (97.6% saved)

prune44.0ms (0.4%)

Memory
19.5MiB live, 57.8MiB allocated
Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New70119720
Fresh516
Picked235
Done000
Total70823731
Accuracy
99.9%
Counts
731 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶39.3%
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)
47.0%
(fma.f64 z (*.f64 y (fma.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z) (*.f64 y #s(literal -1/2 binary64)))) z)
39.8%
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
▶99.8%
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
54.4%
(fma.f64 y (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x) z)
▶53.9%
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
✓54.2%
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) z)
46.7%
(fma.f64 y (fma.f64 y (*.f64 z (fma.f64 y (/.f64 (*.f64 x #s(literal -1/6 binary64)) z) #s(literal -1/2 binary64))) x) z)
39.7%
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z)
56.2%
(fma.f64 x (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) (*.f64 z (cos.f64 y)))
56.1%
(fma.f64 x (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y) (*.f64 z (cos.f64 y)))
58.2%
(fma.f64 x (sin.f64 y) (fma.f64 (*.f64 y y) (*.f64 z (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))) z))
✓54.8%
(fma.f64 x y z)
53.4%
(+.f64 (*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
53.5%
(+.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
▶53.6%
(+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
8.1%
(*.f64 (*.f64 y (*.f64 y y)) (-.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y)) y) (*.f64 x #s(literal 1/6 binary64))))
3.4%
(*.f64 (*.f64 y y) (*.f64 y (*.f64 x #s(literal -1/6 binary64))))
✓60.7%
(*.f64 z (cos.f64 y))
41.2%
(*.f64 z #s(literal 1 binary64))
▶17.0%
(*.f64 y x)
17.2%
(*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y))
40.7%
(*.f64 x (sin.f64 y))
Compiler

Compiled 731 to 427 computations (41.6% saved)

simplify117.0ms (1.1%)

Memory
-41.4MiB live, 132.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)
✓cost-diff0
(*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y))
✓cost-diff768
(+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
✓cost-diff0
(fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(*.f64 z (*.f64 y y))
✓cost-diff0
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)
✓cost-diff0
(*.f64 y #s(literal -1/2 binary64))
✓cost-diff0
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x)
✓cost-diff0
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
✓cost-diff0
(*.f64 y x)
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(*.f64 x (sin.f64 y))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
Rules
3 688×lower-fma.f32
3 672×lower-fma.f64
868×lower-*.f32
850×lower-*.f64
532×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026161
054161
1120161
2294158
3555158
4826157
51003157
61030157
71256157
81269157
91348157
101348157
01348152
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
z
(cos.f64 y)
y
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
(*.f64 y x)
y
x
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
y
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x)
z
(*.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
x
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)
(*.f64 z (*.f64 y y))
z
(*.f64 y y)
y
(fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(*.f64 y #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
(+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
(*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y))
x
(fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)
(*.f64 y y)
y
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
z
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
Outputs
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
z
(cos.f64 y)
y
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
(*.f64 y x)
y
x
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
y
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x)
z
(*.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
x
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)
(fma.f64 z (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) z)
(*.f64 z (*.f64 y y))
z
(*.f64 y y)
y
(fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(*.f64 y #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
(+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
(fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 z y))) (*.f64 z #s(literal -1/2 binary64))) x) z)
(*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y))
(*.f64 y (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x))
x
(fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)
(fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)
(*.f64 y y)
y
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
(fma.f64 z (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) z)
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
z
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)

localize198.0ms (1.9%)

Memory
7.9MiB live, 199.2MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f64 y #s(literal -1/6 binary64))
✓accuracy96.6%
(*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y))
✓accuracy94.5%
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
✓accuracy86.9%
(+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
✓accuracy99.9%
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)
✓accuracy99.9%
(fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
✓accuracy99.5%
(*.f64 y #s(literal 1/24 binary64))
✓accuracy90.7%
(*.f64 z (*.f64 y y))
✓accuracy100.0%
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x)
✓accuracy100.0%
(*.f64 y #s(literal -1/2 binary64))
✓accuracy99.9%
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
✓accuracy100.0%
(*.f64 y x)
✓accuracy100.0%
(sin.f64 y)
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.9%
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
✓accuracy99.9%
(*.f64 x (sin.f64 y))
Samples
137.0ms256×0valid
Compiler

Compiled 179 to 36 computations (79.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
ival-mult: 81.0ms (67.8% of total)
ival-cos: 17.0ms (14.2% of total)
ival-add: 9.0ms (7.5% of total)
const: 6.0ms (5% of total)
ival-sin: 5.0ms (4.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
16.0MiB live, 15.9MiB allocated
Counts
16 → 360
Calls
Call 1
Inputs
#<alt (*.f64 x (sin.f64 y))>
#<alt (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))>
#<alt (cos.f64 y)>
#<alt (sin.f64 y)>
#<alt (*.f64 y x)>
#<alt (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)>
#<alt (*.f64 y #s(literal -1/2 binary64))>
#<alt (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x)>
#<alt (*.f64 z (*.f64 y y))>
#<alt (*.f64 y #s(literal 1/24 binary64))>
#<alt (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))>
#<alt (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)>
#<alt (+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))>
#<alt (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))>
#<alt (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y))>
#<alt (*.f64 y #s(literal -1/6 binary64))>
Outputs
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<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>
#<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 (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))>
#<alt (* x y)>
#<alt (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y)))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y)))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt x>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (* -1/2 (* y z))>
#<alt (* z (+ (* -1/2 y) (/ x z)))>
#<alt (* z (+ (* -1/2 y) (/ x z)))>
#<alt (* z (+ (* -1/2 y) (/ x z)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y))))>
#<alt x>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (* -1/2 (* y z))>
#<alt (* y (+ (* -1/2 z) (/ x y)))>
#<alt (* y (+ (* -1/2 z) (/ x y)))>
#<alt (* y (+ (* -1/2 z) (/ x y)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z))))>
#<alt (* -1/2 (* y z))>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (+ x (* -1/2 (* y z)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1/2 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1/2 (/ (* y z) x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1)))>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt -1/2>
#<alt (- (* 1/24 (pow y 2)) 1/2)>
#<alt (- (* 1/24 (pow y 2)) 1/2)>
#<alt (- (* 1/24 (pow y 2)) 1/2)>
#<alt (* 1/24 (pow y 2))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* 1/24 (pow y 2))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (* 1/24 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))>
#<alt (* 1/24 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))>
#<alt (+ z (* (pow y 2) (* z (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (+ z (+ (* x (+ y (* -1/6 (pow y 3)))) (* (pow y 2) (* z (- (* 1/24 (pow y 2)) 1/2)))))>
#<alt (+ z (+ (* x (+ y (* -1/6 (pow y 3)))) (* (pow y 2) (* z (- (* 1/24 (pow y 2)) 1/2)))))>
#<alt (+ z (+ (* x (+ y (* -1/6 (pow y 3)))) (* (pow y 2) (* z (- (* 1/24 (pow y 2)) 1/2)))))>
#<alt (* x (+ y (* -1/6 (pow y 3))))>
#<alt (* x (+ y (+ (* -1/6 (pow y 3)) (+ (/ z x) (/ (* (pow y 2) (* z (- (* 1/24 (pow y 2)) 1/2))) x)))))>
#<alt (* x (+ y (+ (* -1/6 (pow y 3)) (+ (/ z x) (/ (* (pow y 2) (* z (- (* 1/24 (pow y 2)) 1/2))) x)))))>
#<alt (* x (+ y (+ (* -1/6 (pow y 3)) (+ (/ z x) (/ (* (pow y 2) (* z (- (* 1/24 (pow y 2)) 1/2))) x)))))>
#<alt (* x (+ y (* -1/6 (pow y 3))))>
#<alt (* -1 (* x (+ (* -1 (+ y (* -1/6 (pow y 3)))) (* -1 (/ (+ z (* (pow y 2) (* z (- (* 1/24 (pow y 2)) 1/2)))) x)))))>
#<alt (* -1 (* x (+ (* -1 (+ y (* -1/6 (pow y 3)))) (* -1 (/ (+ z (* (pow y 2) (* z (- (* 1/24 (pow y 2)) 1/2)))) x)))))>
#<alt (* -1 (* x (+ (* -1 (+ y (* -1/6 (pow y 3)))) (* -1 (/ (+ z (* (pow y 2) (* z (- (* 1/24 (pow y 2)) 1/2)))) x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (* 1/24 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x y)) (* 1/24 z)))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* -1/6 (/ x y)) (* 1/24 z))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* -1/6 (/ x y)) (+ (* 1/24 z) (/ x (pow y 3))))))>
#<alt (* 1/24 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x y)) (* 1/24 z)))>
#<alt (* (pow y 4) (+ (* -1 (/ (+ (* 1/6 x) (* 1/2 (/ z y))) y)) (* 1/24 z)))>
#<alt (* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x)) y)) (* 1/24 z)))>
#<alt (* x (+ y (* -1/6 (pow y 3))))>
#<alt (+ (* x (+ y (* -1/6 (pow y 3)))) (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))))>
#<alt (+ (* x (+ y (* -1/6 (pow y 3)))) (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))))>
#<alt (+ (* x (+ y (* -1/6 (pow y 3)))) (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* z (+ 1 (+ (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)) (/ (* x (+ y (* -1/6 (pow y 3)))) z))))>
#<alt (* z (+ 1 (+ (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)) (/ (* x (+ y (* -1/6 (pow y 3)))) z))))>
#<alt (* z (+ 1 (+ (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)) (/ (* x (+ y (* -1/6 (pow y 3)))) z))))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) (* -1 (/ (* x (+ y (* -1/6 (pow y 3)))) z))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) (* -1 (/ (* x (+ y (* -1/6 (pow y 3)))) z))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) (* -1 (/ (* x (+ y (* -1/6 (pow y 3)))) z))) 1)))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* -1/2 z)>
#<alt (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))>
#<alt (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))>
#<alt (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))>
#<alt (* 1/24 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* 1/24 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* x (+ y (* -1/6 (pow y 3))))>
#<alt (* x (+ y (* -1/6 (pow y 3))))>
#<alt (* x (+ y (* -1/6 (pow y 3))))>
#<alt (* x (+ y (* -1/6 (pow y 3))))>
#<alt (* x (+ y (* -1/6 (pow y 3))))>
#<alt (* x (+ y (* -1/6 (pow y 3))))>
#<alt (* x (+ y (* -1/6 (pow y 3))))>
#<alt (* x (+ y (* -1/6 (pow y 3))))>
#<alt (* x (+ y (* -1/6 (pow y 3))))>
#<alt (* x (+ y (* -1/6 (pow y 3))))>
#<alt (* x (+ y (* -1/6 (pow y 3))))>
#<alt (* x (+ y (* -1/6 (pow y 3))))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))>
#<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)>
Calls

90 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+ (* x (+ (* (* y y) (* y -1/6)) y)) (+ (* (* y y) (* z (+ (* (* y y) 1/24) -1/2))) z))
0.0ms
y
@inf
(* x (+ (* (* y y) (* y -1/6)) y))
0.0ms
x
@0
(* x (+ (* (* y y) (* y -1/6)) y))
0.0ms
x
@-inf
(+ (* x (+ (* (* y y) (* y -1/6)) y)) (+ (* (* y y) (* z (+ (* (* y y) 1/24) -1/2))) z))
0.0ms
z
@inf
(+ (* y (+ (* z (* y -1/2)) x)) z)

rewrite527.0ms (5%)

Memory
9.8MiB live, 527.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 218×lower-fma.f32
7 202×lower-fma.f64
4 522×lower-*.f32
4 504×lower-*.f64
3 958×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026109
054109
1232107
21632107
08553104
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 518
Calls
Call 1
Inputs
(*.f64 x (sin.f64 y))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(cos.f64 y)
(sin.f64 y)
(*.f64 y x)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 y #s(literal -1/2 binary64))
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x)
(*.f64 z (*.f64 y y))
(*.f64 y #s(literal 1/24 binary64))
(fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)
(+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y))
(*.f64 y #s(literal -1/6 binary64))
Outputs
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
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(*.f64 y #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) y)

simplify503.0ms (4.7%)

Memory
8.8MiB live, 797.5MiB allocated
Algorithm
1×egg-herbie
Rules
17 958×lower-fma.f64
17 958×lower-fma.f32
5 028×lower-*.f64
5 028×lower-*.f32
2 860×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02573139
18513076
225303024
359243004
085882703
Stop Event
1×iter limit
1×node limit
Counts
360 → 351
Calls
Call 1
Inputs
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
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(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
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(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
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(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
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z
(+ z (* x y))
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(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
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(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
1
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(+ 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
(* 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)
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(* x y)
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(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* 1/24 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* x (+ y (* -1/6 (pow y 3))))
(* x (+ y (* -1/6 (pow y 3))))
(* x (+ y (* -1/6 (pow y 3))))
(* x (+ y (* -1/6 (pow y 3))))
(* x (+ y (* -1/6 (pow y 3))))
(* x (+ y (* -1/6 (pow y 3))))
(* x (+ y (* -1/6 (pow y 3))))
(* x (+ y (* -1/6 (pow y 3))))
(* x (+ y (* -1/6 (pow y 3))))
(* x (+ y (* -1/6 (pow y 3))))
(* x (+ y (* -1/6 (pow y 3))))
(* x (+ y (* -1/6 (pow y 3))))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* -1/6 (* x (pow y 3)))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x (pow y 3)))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
(* -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)
Outputs
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x #s(literal -1/6 binary64))) x))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
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) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y 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 y (*.f64 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)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (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)) (*.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)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(* -1/2 (* (pow y 2) z))
(*.f64 z (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))
(* (pow y 2) (+ (* -1/2 z) (/ x y)))
(*.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))
(*.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (/.f64 z (*.f64 y y))) x))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))
(*.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (/.f64 z (*.f64 y y))) x))
(* -1/2 (* (pow y 2) z))
(*.f64 z (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))
(* (pow y 2) (+ (* -1/2 z) (/ x y)))
(*.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))
(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (+.f64 x (/.f64 z y)) y)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))
(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (+.f64 x (/.f64 z y)) y)))
(* x y)
(*.f64 x y)
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(* z (+ 1 (* -1/2 (pow y 2))))
(fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/2 binary64)) z)
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))
(fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z))) z)
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))
(fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z))) z)
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))
(fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z))) z)
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/2 binary64)) z)
(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))
(fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z))) z)
(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))
(fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z))) z)
(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))
(fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z))) z)
(+ z (* -1/2 (* (pow y 2) z)))
(fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/2 binary64)) z)
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x y)))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x y)))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x y)))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(* x y)
(*.f64 x y)
(* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
x
(+ x (* -1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)
(+ x (* -1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)
(+ x (* -1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)
(* -1/2 (* y z))
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
(* z (+ (* -1/2 y) (/ x z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)
(* z (+ (* -1/2 y) (/ x z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)
(* z (+ (* -1/2 y) (/ x z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)
(* -1/2 (* y z))
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
(* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)
(* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)
(* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)
x
(+ x (* -1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)
(+ x (* -1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)
(+ x (* -1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)
(* -1/2 (* y z))
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
(* y (+ (* -1/2 z) (/ x y)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)
(* y (+ (* -1/2 z) (/ x y)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)
(* y (+ (* -1/2 z) (/ x y)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)
(* -1/2 (* y z))
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
(* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)
(* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)
(* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)
(* -1/2 (* y z))
(*.f64 y (*.f64 z #s(literal -1/2 binary64)))
(+ x (* -1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)
(+ x (* -1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)
(+ x (* -1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)
x
(* x (+ 1 (* -1/2 (/ (* y z) x))))
(fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64) x)
(* x (+ 1 (* -1/2 (/ (* y z) x))))
(fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64) x)
(* x (+ 1 (* -1/2 (/ (* y z) x))))
(fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64) x)
x
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64) x)
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64) x)
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64) x)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
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(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* 1/24 (* (pow y 2) z))
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) z))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(fma.f64 y (*.f64 y (*.f64 z #s(literal 1/24 binary64))) (*.f64 (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(fma.f64 y (*.f64 y (*.f64 z #s(literal 1/24 binary64))) (*.f64 (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(fma.f64 y (*.f64 y (*.f64 z #s(literal 1/24 binary64))) (*.f64 (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* 1/24 (* (pow y 2) z))
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) z))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(fma.f64 y (*.f64 y (*.f64 z #s(literal 1/24 binary64))) (*.f64 (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(fma.f64 y (*.f64 y (*.f64 z #s(literal 1/24 binary64))) (*.f64 (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(fma.f64 y (*.f64 y (*.f64 z #s(literal 1/24 binary64))) (*.f64 (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* x (+ y (* -1/6 (pow y 3))))
(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(* x (+ y (* -1/6 (pow y 3))))
(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(* x (+ y (* -1/6 (pow y 3))))
(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(* x (+ y (* -1/6 (pow y 3))))
(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
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(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(* x (+ y (* -1/6 (pow y 3))))
(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(* x (+ y (* -1/6 (pow y 3))))
(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(* x (+ y (* -1/6 (pow y 3))))
(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(* x (+ y (* -1/6 (pow y 3))))
(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(* x (+ y (* -1/6 (pow y 3))))
(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
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(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(* x (+ y (* -1/6 (pow y 3))))
(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(* x y)
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(* y (+ x (* -1/6 (* x (pow y 2)))))
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(* y (+ x (* -1/6 (* x (pow y 2)))))
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(* -1/6 (* x (pow y 3)))
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(* -1/6 (* x (pow y 3)))
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))))
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(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
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(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))

simplify246.0ms (2.3%)

Memory
-15.6MiB live, 433.8MiB allocated
Algorithm
1×egg-herbie
Rules
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0132730598
1132930598
0132930598
Stop Event
1×saturated
1×saturated
Counts
518 → 0
Calls
Call 1
Inputs
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
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(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
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(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
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(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) #s(literal -1 binary64))
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(cos.f64 y)
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64))) (*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) y) (*.f64 x (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64))) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (*.f64 y (*.f64 y y))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) y) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) (*.f64 y y)) x)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (fma.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) (*.f64 (*.f64 x y) (*.f64 x y))) (-.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x y)))
(/.f64 (*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (*.f64 y (*.f64 y y)))) (fma.f64 y (-.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64))))
(/.f64 (*.f64 x (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) (*.f64 y y))) (-.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) y))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (*.f64 y (*.f64 y y))) x) (fma.f64 y (-.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) (*.f64 y y)) x) (-.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) y))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))))) (neg.f64 (fma.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) (*.f64 (*.f64 x y) (*.f64 x y)))) (neg.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x y))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) (*.f64 y y)))) (neg.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) y)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (*.f64 y (*.f64 y y))) x)) (neg.f64 (fma.f64 y (-.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) (*.f64 y y)) x)) (neg.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) y)))
(/.f64 (fma.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))))) (fma.f64 (*.f64 x y) (*.f64 x y) (-.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))) (-.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
(*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))
(*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y) x)
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x y))))))
(*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) (*.f64 (*.f64 x y) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x y))))
(*.f64 (*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)))))
(*.f64 (*.f64 x (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) y)))
(*.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (*.f64 y (*.f64 y y))) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) y)))
(*.f64 y #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) y)
Outputs
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (*.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (*.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (*.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))))
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(*.f64 (-.f64 (*.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))) (*.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64)))))
(*.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/13824 binary64) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 y y) #s(literal -1/48 binary64)))))
(*.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/13824 binary64) #s(literal -1/8 binary64)) z) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 y y) #s(literal -1/48 binary64)))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) z) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))
(+.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x y))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) (-.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x y))) (/.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (-.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x y))))
(fma.f64 x y (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))
(fma.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (*.f64 x y))
(fma.f64 y x (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))
(fma.f64 y (*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x y))
(fma.f64 (*.f64 x y) (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (*.f64 x y))
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y #s(literal -1/6 binary64)) x) (*.f64 x y))
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) (*.f64 x y))
(fma.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x (*.f64 x y))
(fma.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) x) (*.f64 x y))
(fma.f64 (*.f64 x (*.f64 y y)) (*.f64 y #s(literal -1/6 binary64)) (*.f64 x y))
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) (*.f64 y y) (*.f64 x y))
(fma.f64 (*.f64 x (*.f64 y (*.f64 y y))) #s(literal -1/6 binary64) (*.f64 x y))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x y)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x y)) (-.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) (*.f64 (*.f64 x y) (*.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64))) (*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) y) (*.f64 x (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64))) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (*.f64 y (*.f64 y y))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) y) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) (*.f64 y y)) x)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (fma.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) (*.f64 (*.f64 x y) (*.f64 x y))) (-.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x y)))
(/.f64 (*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (*.f64 y (*.f64 y y)))) (fma.f64 y (-.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64))))
(/.f64 (*.f64 x (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) (*.f64 y y))) (-.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) y))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (*.f64 y (*.f64 y y))) x) (fma.f64 y (-.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) (*.f64 y y)) x) (-.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) y))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))))) (neg.f64 (fma.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) (*.f64 (*.f64 x y) (*.f64 x y)))) (neg.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x y))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) (*.f64 y y)))) (neg.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) y)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (*.f64 y (*.f64 y y))) x)) (neg.f64 (fma.f64 y (-.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) (*.f64 y y)) x)) (neg.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) y)))
(/.f64 (fma.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))))) (fma.f64 (*.f64 x y) (*.f64 x y) (-.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))) (-.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
(*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))
(*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y) x)
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x y))))))
(*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) (*.f64 (*.f64 x y) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 x y))))
(*.f64 (*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)))))
(*.f64 (*.f64 x (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) y)))
(*.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (*.f64 y (*.f64 y y))) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) y)))
(*.f64 y #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) y)

eval75.0ms (0.7%)

Memory
23.5MiB live, 218.2MiB allocated
Compiler

Compiled 9 239 to 164 computations (98.2% saved)

prune32.0ms (0.3%)

Memory
-28.1MiB live, 85.5MiB allocated
Pruning

26 alts after pruning (20 fresh and 6 done)

PrunedKeptTotal
New6939702
Fresh41115
Picked235
Done033
Total69926725
Accuracy
99.9%
Counts
725 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶39.3%
(fma.f64 (*.f64 z (*.f64 y y)) (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)
▶57.8%
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 x (sin.f64 y)))
▶47.0%
(fma.f64 z (*.f64 y (fma.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z) (*.f64 y #s(literal -1/2 binary64)))) z)
56.1%
(fma.f64 z (cos.f64 y) (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)))
✓99.8%
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
54.4%
(fma.f64 y (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x) z)
✓53.9%
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
✓54.2%
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) z)
53.7%
(fma.f64 y (fma.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)) z)
46.7%
(fma.f64 y (fma.f64 y (*.f64 z (fma.f64 y (/.f64 (*.f64 x #s(literal -1/6 binary64)) z) #s(literal -1/2 binary64))) x) z)
39.7%
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z)
56.2%
(fma.f64 x (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) (*.f64 z (cos.f64 y)))
✓54.8%
(fma.f64 x y z)
53.4%
(+.f64 (*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
53.5%
(+.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
8.1%
(*.f64 (*.f64 y (*.f64 y y)) (-.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y)) y) (*.f64 x #s(literal 1/6 binary64))))
18.9%
(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (+.f64 x (/.f64 z y)) y)))
▶3.4%
(*.f64 (*.f64 y y) (*.f64 y (*.f64 x #s(literal -1/6 binary64))))
3.3%
(*.f64 z (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))
3.2%
(*.f64 z (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))
✓60.7%
(*.f64 z (cos.f64 y))
▶41.2%
(*.f64 z #s(literal 1 binary64))
16.8%
(*.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x))
✓17.0%
(*.f64 y x)
17.2%
(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
40.7%
(*.f64 x (sin.f64 y))
Compiler

Compiled 776 to 457 computations (41.1% saved)

simplify553.0ms (5.2%)

Memory
-8.6MiB live, 917.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z)
✓cost-diff0
(fma.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z) (*.f64 y #s(literal -1/2 binary64)))
✓cost-diff0
(*.f64 y (fma.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z) (*.f64 y #s(literal -1/2 binary64))))
✓cost-diff704
(fma.f64 z (*.f64 y (fma.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z) (*.f64 y #s(literal -1/2 binary64)))) z)
✓cost-diff0
(*.f64 (*.f64 y y) #s(literal 1/24 binary64))
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(*.f64 z (*.f64 y y))
✓cost-diff0
(fma.f64 (*.f64 z (*.f64 y y)) (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)
✓cost-diff0
(*.f64 x #s(literal -1/6 binary64))
✓cost-diff0
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(*.f64 (*.f64 y y) (*.f64 y (*.f64 x #s(literal -1/6 binary64))))
✓cost-diff320
(*.f64 z #s(literal 1 binary64))
✓cost-diff0
(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))
✓cost-diff0
(*.f64 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)))
✓cost-diff0
(fma.f64 y (*.f64 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))
✓cost-diff0
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 x (sin.f64 y)))
Rules
23 824×lower-fma.f32
23 808×lower-fma.f64
5 068×lower-+.f64
5 068×lower-+.f32
4 124×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030212
060210
1133210
2385207
31038205
42019205
53992205
64834205
75425205
85490205
95507205
105507205
116812205
08475202
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 x (sin.f64 y)))
z
(fma.f64 y (*.f64 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))
y
(*.f64 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)))
(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))
(*.f64 y y)
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
(*.f64 z #s(literal 1 binary64))
z
#s(literal 1 binary64)
(*.f64 (*.f64 y y) (*.f64 y (*.f64 x #s(literal -1/6 binary64))))
(*.f64 y y)
y
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(*.f64 x #s(literal -1/6 binary64))
x
#s(literal -1/6 binary64)
(fma.f64 (*.f64 z (*.f64 y y)) (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)
(*.f64 z (*.f64 y y))
z
(*.f64 y y)
y
(*.f64 (*.f64 y y) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
(fma.f64 z (*.f64 y (fma.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z) (*.f64 y #s(literal -1/2 binary64)))) z)
z
(*.f64 y (fma.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z) (*.f64 y #s(literal -1/2 binary64))))
y
(fma.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z) (*.f64 y #s(literal -1/2 binary64)))
x
(/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z)
(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)
(*.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
Outputs
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 x (sin.f64 y)))
(fma.f64 z (fma.f64 y (*.f64 y (fma.f64 y (*.f64 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)) (*.f64 x (sin.f64 y)))
z
(fma.f64 y (*.f64 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))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 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))
y
(*.f64 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)))
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))
(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))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))
(*.f64 y y)
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
(*.f64 z #s(literal 1 binary64))
z
z
#s(literal 1 binary64)
(*.f64 (*.f64 y y) (*.f64 y (*.f64 x #s(literal -1/6 binary64))))
(*.f64 y (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))))
(*.f64 y y)
y
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(*.f64 x #s(literal -1/6 binary64))
x
#s(literal -1/6 binary64)
(fma.f64 (*.f64 z (*.f64 y y)) (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)
(fma.f64 (*.f64 y y) (*.f64 #s(literal 1/24 binary64) (*.f64 z (*.f64 y y))) z)
(*.f64 z (*.f64 y y))
z
(*.f64 y y)
y
(*.f64 (*.f64 y y) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
(fma.f64 z (*.f64 y (fma.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z) (*.f64 y #s(literal -1/2 binary64)))) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x)) z)
z
(*.f64 y (fma.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z) (*.f64 y #s(literal -1/2 binary64))))
y
(fma.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z) (*.f64 y #s(literal -1/2 binary64)))
x
(/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z)
(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)
(*.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)

localize228.0ms (2.2%)

Memory
4.2MiB live, 283.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy96.4%
(fma.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z) (*.f64 y #s(literal -1/2 binary64)))
✓accuracy95.8%
(*.f64 y (fma.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z) (*.f64 y #s(literal -1/2 binary64))))
✓accuracy94.4%
(/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z)
✓accuracy93.2%
(fma.f64 z (*.f64 y (fma.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z) (*.f64 y #s(literal -1/2 binary64)))) z)
✓accuracy100.0%
(*.f64 y y)
✓accuracy99.9%
(fma.f64 (*.f64 z (*.f64 y y)) (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)
✓accuracy99.6%
(*.f64 (*.f64 y y) #s(literal 1/24 binary64))
✓accuracy90.7%
(*.f64 z (*.f64 y y))
✓accuracy100.0%
(*.f64 y y)
✓accuracy99.7%
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
✓accuracy99.5%
(*.f64 x #s(literal -1/6 binary64))
✓accuracy98.6%
(*.f64 (*.f64 y y) (*.f64 y (*.f64 x #s(literal -1/6 binary64))))
✓accuracy100.0%
(*.f64 z #s(literal 1 binary64))
✓accuracy99.9%
(*.f64 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)))
✓accuracy99.9%
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
✓accuracy99.9%
(*.f64 x (sin.f64 y))
✓accuracy98.5%
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 x (sin.f64 y)))
Samples
138.0ms256×0valid
Compiler

Compiled 236 to 40 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 118.0ms
ival-mult: 55.0ms (46.5% of total)
const: 44.0ms (37.2% of total)
ival-add: 10.0ms (8.4% of total)
ival-sin: 6.0ms (5.1% of total)
ival-div: 2.0ms (1.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series77.0ms (0.7%)

Memory
24.9MiB live, 63.6MiB allocated
Counts
16 → 360
Calls
Call 1
Inputs
#<alt (fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 x (sin.f64 y)))>
#<alt (*.f64 x (sin.f64 y))>
#<alt (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))>
#<alt (*.f64 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)))>
#<alt (*.f64 z #s(literal 1 binary64))>
#<alt (*.f64 (*.f64 y y) (*.f64 y (*.f64 x #s(literal -1/6 binary64))))>
#<alt (*.f64 x #s(literal -1/6 binary64))>
#<alt (*.f64 y (*.f64 x #s(literal -1/6 binary64)))>
#<alt (*.f64 y y)>
#<alt (*.f64 z (*.f64 y y))>
#<alt (*.f64 (*.f64 y y) #s(literal 1/24 binary64))>
#<alt (fma.f64 (*.f64 z (*.f64 y y)) (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)>
#<alt (fma.f64 z (*.f64 y (fma.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z) (*.f64 y #s(literal -1/2 binary64)))) z)>
#<alt (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z)>
#<alt (*.f64 y (fma.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z) (*.f64 y #s(literal -1/2 binary64))))>
#<alt (fma.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z) (*.f64 y #s(literal -1/2 binary64)))>
Outputs
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))))>
#<alt (+ (* x (sin y)) (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))))>
#<alt (+ (* x (sin y)) (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* z (+ 1 (+ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) (/ (* x (sin y)) z))))>
#<alt (* z (+ 1 (+ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) (/ (* x (sin y)) z))))>
#<alt (* z (+ 1 (+ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) (/ (* x (sin y)) z))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* -1 (* z (+ (* -1 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) (* -1 (/ (* x (sin y)) z)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (* -1/720 (* (pow y 6) z))>
#<alt (* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (+ (/ z (pow y 6)) (/ (* x (sin y)) (pow y 6)))))))>
#<alt (* -1/720 (* (pow y 6) z))>
#<alt (* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (+ (/ z (pow y 6)) (/ (* x (sin y)) (pow y 6)))))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (+ (* x (sin y)) (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))))>
#<alt (+ (* x (sin y)) (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))))>
#<alt (+ (* x (sin y)) (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) x)))>
#<alt (* x (+ (sin y) (/ (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) x)))>
#<alt (* x (+ (sin y) (/ (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) x)))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt 1/24>
#<alt (+ 1/24 (* -1/720 (pow y 2)))>
#<alt (+ 1/24 (* -1/720 (pow y 2)))>
#<alt (+ 1/24 (* -1/720 (pow y 2)))>
#<alt (* -1/720 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* -1/720 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* y (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* y (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* -1/720 (pow y 5))>
#<alt (* (pow y 5) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 5) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))>
#<alt (* (pow y 5) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))>
#<alt (* -1/720 (pow y 5))>
#<alt (* -1 (* (pow y 5) (- 1/720 (* 1/24 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 5) (- (+ 1/720 (/ 1/2 (pow y 4))) (* 1/24 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 5) (- (+ 1/720 (/ 1/2 (pow y 4))) (* 1/24 (/ 1 (pow y 2))))))>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<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 (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* 1/24 (pow y 2))>
#<alt (* 1/24 (pow y 2))>
#<alt (* 1/24 (pow y 2))>
#<alt (* 1/24 (pow y 2))>
#<alt (* 1/24 (pow y 2))>
#<alt (* 1/24 (pow y 2))>
#<alt (* 1/24 (pow y 2))>
#<alt (* 1/24 (pow y 2))>
#<alt (* 1/24 (pow y 2))>
#<alt (* 1/24 (pow y 2))>
#<alt (* 1/24 (pow y 2))>
#<alt (* 1/24 (pow y 2))>
#<alt (* z (+ 1 (* 1/24 (pow y 4))))>
#<alt (* z (+ 1 (* 1/24 (pow y 4))))>
#<alt (* z (+ 1 (* 1/24 (pow y 4))))>
#<alt (* z (+ 1 (* 1/24 (pow y 4))))>
#<alt (* z (+ 1 (* 1/24 (pow y 4))))>
#<alt (* z (+ 1 (* 1/24 (pow y 4))))>
#<alt (* z (+ 1 (* 1/24 (pow y 4))))>
#<alt (* z (+ 1 (* 1/24 (pow y 4))))>
#<alt (* -1 (* z (- (* -1/24 (pow y 4)) 1)))>
#<alt (* -1 (* z (- (* -1/24 (pow y 4)) 1)))>
#<alt (* -1 (* z (- (* -1/24 (pow y 4)) 1)))>
#<alt (* -1 (* z (- (* -1/24 (pow y 4)) 1)))>
#<alt z>
#<alt (+ z (* 1/24 (* (pow y 4) z)))>
#<alt (+ z (* 1/24 (* (pow y 4) z)))>
#<alt (+ z (* 1/24 (* (pow y 4) z)))>
#<alt (* 1/24 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* 1/24 z) (/ z (pow y 4))))>
#<alt (* (pow y 4) (+ (* 1/24 z) (/ z (pow y 4))))>
#<alt (* (pow y 4) (+ (* 1/24 z) (/ z (pow y 4))))>
#<alt (* 1/24 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* 1/24 z) (/ z (pow y 4))))>
#<alt (* (pow y 4) (+ (* 1/24 z) (/ z (pow y 4))))>
#<alt (* (pow y 4) (+ (* 1/24 z) (/ z (pow y 4))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ (* x (* y (+ 1 (* -1/6 (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* x (* y (+ 1 (* -1/6 (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* x (* y (+ 1 (* -1/6 (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x (* y (+ 1 (* -1/6 (pow y 2))))) z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x (* y (+ 1 (* -1/6 (pow y 2))))) z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x (* y (+ 1 (* -1/6 (pow y 2))))) z))))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))>
#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3))))))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x))))>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (* z (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))))))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (* z (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))))))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (* z (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))))))>
#<alt (* x (* y (* z (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))))>
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (* z (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) (/ z x))))>
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (* z (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) (/ z x))))>
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (* z (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) (/ z x))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* -1 (* x (+ (* -1 (* y (+ 1 (* -1/6 (pow y 2))))) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))>
#<alt (* -1 (* x (+ (* -1 (* y (+ 1 (* -1/6 (pow y 2))))) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))>
#<alt (* -1 (* x (+ (* -1 (* y (+ 1 (* -1/6 (pow y 2))))) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))>
#<alt (/ 1 z)>
#<alt (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))>
#<alt (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))>
#<alt (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))>
#<alt (* -1/6 (/ (pow y 2) z))>
#<alt (* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z))))>
#<alt (* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z))))>
#<alt (* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z))))>
#<alt (* -1/6 (/ (pow y 2) z))>
#<alt (* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z))))>
#<alt (* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z))))>
#<alt (* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z))))>
#<alt (/ (+ 1 (* -1/6 (pow y 2))) z)>
#<alt (/ (+ 1 (* -1/6 (pow y 2))) z)>
#<alt (/ (+ 1 (* -1/6 (pow y 2))) z)>
#<alt (/ (+ 1 (* -1/6 (pow y 2))) z)>
#<alt (/ (+ 1 (* -1/6 (pow y 2))) z)>
#<alt (/ (+ 1 (* -1/6 (pow y 2))) z)>
#<alt (/ (+ 1 (* -1/6 (pow y 2))) z)>
#<alt (/ (+ 1 (* -1/6 (pow y 2))) z)>
#<alt (/ (+ 1 (* -1/6 (pow y 2))) z)>
#<alt (/ (+ 1 (* -1/6 (pow y 2))) z)>
#<alt (/ (+ 1 (* -1/6 (pow y 2))) z)>
#<alt (/ (+ 1 (* -1/6 (pow y 2))) z)>
#<alt (/ (* x y) z)>
#<alt (* y (+ (* -1/2 y) (/ x z)))>
#<alt (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z)))>
#<alt (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z)))>
#<alt (* -1/6 (/ (* x (pow y 3)) z))>
#<alt (* (pow y 3) (- (* -1/6 (/ x z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 3) (- (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 3) (- (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))) (* 1/2 (/ 1 y))))>
#<alt (* -1/6 (/ (* x (pow y 3)) z))>
#<alt (* -1 (* (pow y 3) (+ (* 1/6 (/ x z)) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (/ x (* y z)) 1/2) y)) (* 1/6 (/ x z)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (/ x (* y z)) 1/2) y)) (* 1/6 (/ x z)))))>
#<alt (* -1/2 (pow y 2))>
#<alt (+ (* -1/2 (pow y 2)) (* x (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))))>
#<alt (+ (* -1/2 (pow y 2)) (* x (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))))>
#<alt (+ (* -1/2 (pow y 2)) (* x (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))))>
#<alt (* x (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))>
#<alt (* x (+ (* -1/2 (/ (pow y 2) x)) (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))))>
#<alt (* x (+ (* -1/2 (/ (pow y 2) x)) (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))))>
#<alt (* x (+ (* -1/2 (/ (pow y 2) x)) (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))))>
#<alt (/ (* x (* y (+ 1 (* -1/6 (pow y 2))))) z)>
#<alt (* -1 (* x (+ (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) (* 1/2 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) (* 1/2 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) (* 1/2 (/ (pow y 2) x)))))>
#<alt (/ (* x (* y (+ 1 (* -1/6 (pow y 2))))) z)>
#<alt (/ (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))) z)>
#<alt (/ (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))) z)>
#<alt (/ (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))) z)>
#<alt (* -1/2 (pow y 2))>
#<alt (+ (* -1/2 (pow y 2)) (/ (* x (* y (+ 1 (* -1/6 (pow y 2))))) z))>
#<alt (+ (* -1/2 (pow y 2)) (/ (* x (* y (+ 1 (* -1/6 (pow y 2))))) z))>
#<alt (+ (* -1/2 (pow y 2)) (/ (* x (* y (+ 1 (* -1/6 (pow y 2))))) z))>
#<alt (* -1/2 (pow y 2))>
#<alt (+ (* -1/2 (pow y 2)) (/ (* x (* y (+ 1 (* -1/6 (pow y 2))))) z))>
#<alt (+ (* -1/2 (pow y 2)) (/ (* x (* y (+ 1 (* -1/6 (pow y 2))))) z))>
#<alt (+ (* -1/2 (pow y 2)) (/ (* x (* y (+ 1 (* -1/6 (pow y 2))))) z))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* x (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))>
#<alt (+ (* -1/2 y) (* x (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))>
#<alt (+ (* -1/2 y) (* x (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))>
#<alt (* x (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))>
#<alt (* x (+ (* -1/2 (/ y x)) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))>
#<alt (* x (+ (* -1/2 (/ y x)) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))>
#<alt (* x (+ (* -1/2 (/ y x)) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))>
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 (/ y x)))))>
#<alt (/ x z)>
#<alt (+ (* -1/2 y) (/ x z))>
#<alt (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))>
#<alt (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))>
#<alt (* -1/6 (/ (* x (pow y 2)) z))>
#<alt (* (pow y 2) (- (* -1/6 (/ x z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))) (* 1/2 (/ 1 y))))>
#<alt (* -1/6 (/ (* x (pow y 2)) z))>
#<alt (* (pow y 2) (- (* -1/6 (/ x z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ 1/2 (* -1 (/ x (* y z)))) y)) (* -1/6 (/ x z))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ 1/2 (* -1 (/ x (* y z)))) y)) (* -1/6 (/ x z))))>
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)>
#<alt (/ (+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2))))) z)>
#<alt (/ (+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2))))) z)>
#<alt (/ (+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2))))) z)>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (/ (* x (+ 1 (* -1/6 (pow y 2)))) z))>
#<alt (+ (* -1/2 y) (/ (* x (+ 1 (* -1/6 (pow y 2)))) z))>
#<alt (+ (* -1/2 y) (/ (* x (+ 1 (* -1/6 (pow y 2)))) z))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (/ (* x (+ 1 (* -1/6 (pow y 2)))) z))>
#<alt (+ (* -1/2 y) (/ (* x (+ 1 (* -1/6 (pow y 2)))) z))>
#<alt (+ (* -1/2 y) (/ (* x (+ 1 (* -1/6 (pow y 2)))) z))>
Calls

90 calls:

TimeVariablePointExpression
47.0ms
y
@inf
(+ (* (* z (* y y)) (* (* y y) 1/24)) z)
5.0ms
y
@0
(* y (+ (* (* y y) (+ (* (* y y) -1/720) 1/24)) -1/2))
1.0ms
x
@inf
(+ (* z (* y (+ (* x (/ (+ (* y (* y -1/6)) 1) z)) (* y -1/2)))) z)
1.0ms
z
@0
(+ (* z (* y (+ (* x (/ (+ (* y (* y -1/6)) 1) z)) (* y -1/2)))) z)
1.0ms
z
@0
(+ (* z (+ (* y (* y (+ (* (* y y) (+ (* (* y y) -1/720) 1/24)) -1/2))) 1)) (* x (sin y)))

rewrite799.0ms (7.5%)

Memory
10.4MiB live, 445.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 030×lower-fma.f32
7 014×lower-fma.f64
4 416×lower-*.f32
4 392×lower-*.f64
4 030×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030144
060142
1239139
21816137
08590136
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 464
Calls
Call 1
Inputs
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 x (sin.f64 y)))
(*.f64 x (sin.f64 y))
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(*.f64 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)))
(*.f64 z #s(literal 1 binary64))
(*.f64 (*.f64 y y) (*.f64 y (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x #s(literal -1/6 binary64))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(*.f64 y y)
(*.f64 z (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 1/24 binary64))
(fma.f64 (*.f64 z (*.f64 y y)) (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)
(fma.f64 z (*.f64 y (fma.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z) (*.f64 y #s(literal -1/2 binary64)))) z)
(/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z)
(*.f64 y (fma.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z) (*.f64 y #s(literal -1/2 binary64)))
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 z (*.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))) z))
(+.f64 (fma.f64 z (*.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))) z) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 (*.f64 y y) (*.f64 (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)) z)) (+.f64 z (*.f64 x (sin.f64 y))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) z) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 y #s(literal -1/2 binary64)))) z)) (fma.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) (*.f64 z (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) z)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 z z)))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) z)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 z z))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) z) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 y #s(literal -1/2 binary64)))) z)))
(/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 z z)) (*.f64 (*.f64 y y) #s(literal 1/4 binary64))) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x z) (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) (*.f64 z (*.f64 z z))))) (neg.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) z)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 z z)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) (*.f64 z (*.f64 z z))))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) z) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 y #s(literal -1/2 binary64)))) z))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 z z)) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) y))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 z z))) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) z)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 z z)) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) y))) (*.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (*.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) y)) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) (*.f64 z (*.f64 z z)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) z)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 z z))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 z z)) (*.f64 (*.f64 y y) #s(literal 1/4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 z z)))) (neg.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) z))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 z z)) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 z z)) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) y))) (/.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 z z)) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) y))) (fma.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) y))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) y))) (*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 z z)) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) y))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) y)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x z) (*.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x z) (*.f64 y #s(literal -1/2 binary64))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) z)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 z z)))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) z) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 y #s(literal -1/2 binary64)))) z))))
(*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 z z)) (*.f64 (*.f64 y y) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) y))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) z)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 z z))))))
(*.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 z z)) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) y)))))
(*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) z))))

simplify541.0ms (5.1%)

Memory
2.3MiB live, 764.0MiB allocated
Algorithm
1×egg-herbie
Rules
16 956×lower-fma.f64
16 956×lower-fma.f32
5 798×lower-*.f64
5 798×lower-*.f32
3 842×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02963973
19493879
231063790
379743790
082243483
Stop Event
1×iter limit
1×node limit
Counts
360 → 345
Calls
Call 1
Inputs
(* x (sin y))
(+ (* x (sin y)) (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))))
(+ (* x (sin y)) (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))))
(+ (* x (sin y)) (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* z (+ 1 (+ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) (/ (* x (sin y)) z))))
(* z (+ 1 (+ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) (/ (* x (sin y)) z))))
(* z (+ 1 (+ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) (/ (* x (sin y)) z))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* -1 (* z (+ (* -1 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) (* -1 (/ (* x (sin y)) z)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(* -1/720 (* (pow y 6) z))
(* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (+ (/ z (pow y 6)) (/ (* x (sin y)) (pow y 6)))))))
(* -1/720 (* (pow y 6) z))
(* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (+ (/ z (pow y 6)) (/ (* x (sin y)) (pow y 6)))))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+ (* x (sin y)) (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))))
(+ (* x (sin y)) (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))))
(+ (* x (sin y)) (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))))
(* x (sin y))
(* x (+ (sin y) (/ (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) x)))
(* x (+ (sin y) (/ (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) x)))
(* x (+ (sin y) (/ (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) x)))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
1/24
(+ 1/24 (* -1/720 (pow y 2)))
(+ 1/24 (* -1/720 (pow y 2)))
(+ 1/24 (* -1/720 (pow y 2)))
(* -1/720 (pow y 2))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* -1/720 (pow y 2))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* -1/2 y)
(* y (- (* 1/24 (pow y 2)) 1/2))
(* y (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* y (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* -1/720 (pow y 5))
(* (pow y 5) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 5) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 5) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* -1/720 (pow y 5))
(* -1 (* (pow y 5) (- 1/720 (* 1/24 (/ 1 (pow y 2))))))
(* -1 (* (pow y 5) (- (+ 1/720 (/ 1/2 (pow y 4))) (* 1/24 (/ 1 (pow y 2))))))
(* -1 (* (pow y 5) (- (+ 1/720 (/ 1/2 (pow y 4))) (* 1/24 (/ 1 (pow y 2))))))
z
z
z
z
z
z
z
z
z
z
z
z
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 (* x (pow y 3)))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(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) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* 1/24 (pow y 2))
(* z (+ 1 (* 1/24 (pow y 4))))
(* z (+ 1 (* 1/24 (pow y 4))))
(* z (+ 1 (* 1/24 (pow y 4))))
(* z (+ 1 (* 1/24 (pow y 4))))
(* z (+ 1 (* 1/24 (pow y 4))))
(* z (+ 1 (* 1/24 (pow y 4))))
(* z (+ 1 (* 1/24 (pow y 4))))
(* z (+ 1 (* 1/24 (pow y 4))))
(* -1 (* z (- (* -1/24 (pow y 4)) 1)))
(* -1 (* z (- (* -1/24 (pow y 4)) 1)))
(* -1 (* z (- (* -1/24 (pow y 4)) 1)))
(* -1 (* z (- (* -1/24 (pow y 4)) 1)))
z
(+ z (* 1/24 (* (pow y 4) z)))
(+ z (* 1/24 (* (pow y 4) z)))
(+ z (* 1/24 (* (pow y 4) z)))
(* 1/24 (* (pow y 4) z))
(* (pow y 4) (+ (* 1/24 z) (/ z (pow y 4))))
(* (pow y 4) (+ (* 1/24 z) (/ z (pow y 4))))
(* (pow y 4) (+ (* 1/24 z) (/ z (pow y 4))))
(* 1/24 (* (pow y 4) z))
(* (pow y 4) (+ (* 1/24 z) (/ z (pow y 4))))
(* (pow y 4) (+ (* 1/24 z) (/ z (pow y 4))))
(* (pow y 4) (+ (* 1/24 z) (/ z (pow y 4))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(+ (* x (* y (+ 1 (* -1/6 (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* x (* y (+ 1 (* -1/6 (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* x (* y (+ 1 (* -1/6 (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x (* y (+ 1 (* -1/6 (pow y 2))))) z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x (* y (+ 1 (* -1/6 (pow y 2))))) z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x (* y (+ 1 (* -1/6 (pow y 2))))) z))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (* x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (* x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (* x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(* -1/6 (* x (pow y 3)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3))))))
(* -1/6 (* x (pow y 3)))
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x))))
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (* z (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))))))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (* z (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))))))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (* z (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))))))
(* x (* y (* z (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (* z (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) (/ z x))))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (* z (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) (/ z x))))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (* z (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) (/ z x))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* -1 (* x (+ (* -1 (* y (+ 1 (* -1/6 (pow y 2))))) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))
(* -1 (* x (+ (* -1 (* y (+ 1 (* -1/6 (pow y 2))))) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))
(* -1 (* x (+ (* -1 (* y (+ 1 (* -1/6 (pow y 2))))) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))
(/ 1 z)
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))
(* -1/6 (/ (pow y 2) z))
(* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z))))
(* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z))))
(* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z))))
(* -1/6 (/ (pow y 2) z))
(* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z))))
(* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z))))
(* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z))))
(/ (+ 1 (* -1/6 (pow y 2))) z)
(/ (+ 1 (* -1/6 (pow y 2))) z)
(/ (+ 1 (* -1/6 (pow y 2))) z)
(/ (+ 1 (* -1/6 (pow y 2))) z)
(/ (+ 1 (* -1/6 (pow y 2))) z)
(/ (+ 1 (* -1/6 (pow y 2))) z)
(/ (+ 1 (* -1/6 (pow y 2))) z)
(/ (+ 1 (* -1/6 (pow y 2))) z)
(/ (+ 1 (* -1/6 (pow y 2))) z)
(/ (+ 1 (* -1/6 (pow y 2))) z)
(/ (+ 1 (* -1/6 (pow y 2))) z)
(/ (+ 1 (* -1/6 (pow y 2))) z)
(/ (* x y) z)
(* y (+ (* -1/2 y) (/ x z)))
(* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z)))
(* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z)))
(* -1/6 (/ (* x (pow y 3)) z))
(* (pow y 3) (- (* -1/6 (/ x z)) (* 1/2 (/ 1 y))))
(* (pow y 3) (- (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))) (* 1/2 (/ 1 y))))
(* (pow y 3) (- (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))) (* 1/2 (/ 1 y))))
(* -1/6 (/ (* x (pow y 3)) z))
(* -1 (* (pow y 3) (+ (* 1/6 (/ x z)) (* 1/2 (/ 1 y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (/ x (* y z)) 1/2) y)) (* 1/6 (/ x z)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (/ x (* y z)) 1/2) y)) (* 1/6 (/ x z)))))
(* -1/2 (pow y 2))
(+ (* -1/2 (pow y 2)) (* x (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))))
(+ (* -1/2 (pow y 2)) (* x (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))))
(+ (* -1/2 (pow y 2)) (* x (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))))
(* x (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(* x (+ (* -1/2 (/ (pow y 2) x)) (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))))
(* x (+ (* -1/2 (/ (pow y 2) x)) (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))))
(* x (+ (* -1/2 (/ (pow y 2) x)) (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))))
(/ (* x (* y (+ 1 (* -1/6 (pow y 2))))) z)
(* -1 (* x (+ (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) (* 1/2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) (* 1/2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) (* 1/2 (/ (pow y 2) x)))))
(/ (* x (* y (+ 1 (* -1/6 (pow y 2))))) z)
(/ (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))) z)
(/ (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))) z)
(/ (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))) z)
(* -1/2 (pow y 2))
(+ (* -1/2 (pow y 2)) (/ (* x (* y (+ 1 (* -1/6 (pow y 2))))) z))
(+ (* -1/2 (pow y 2)) (/ (* x (* y (+ 1 (* -1/6 (pow y 2))))) z))
(+ (* -1/2 (pow y 2)) (/ (* x (* y (+ 1 (* -1/6 (pow y 2))))) z))
(* -1/2 (pow y 2))
(+ (* -1/2 (pow y 2)) (/ (* x (* y (+ 1 (* -1/6 (pow y 2))))) z))
(+ (* -1/2 (pow y 2)) (/ (* x (* y (+ 1 (* -1/6 (pow y 2))))) z))
(+ (* -1/2 (pow y 2)) (/ (* x (* y (+ 1 (* -1/6 (pow y 2))))) z))
(* -1/2 y)
(+ (* -1/2 y) (* x (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(+ (* -1/2 y) (* x (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(+ (* -1/2 y) (* x (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(* x (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(* x (+ (* -1/2 (/ y x)) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(* x (+ (* -1/2 (/ y x)) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(* x (+ (* -1/2 (/ y x)) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z)
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 (/ y x)))))
(/ x z)
(+ (* -1/2 y) (/ x z))
(+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))
(+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))
(* -1/6 (/ (* x (pow y 2)) z))
(* (pow y 2) (- (* -1/6 (/ x z)) (* 1/2 (/ 1 y))))
(* (pow y 2) (- (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))) (* 1/2 (/ 1 y))))
(* (pow y 2) (- (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))) (* 1/2 (/ 1 y))))
(* -1/6 (/ (* x (pow y 2)) z))
(* (pow y 2) (- (* -1/6 (/ x z)) (* 1/2 (/ 1 y))))
(* (pow y 2) (+ (* -1 (/ (+ 1/2 (* -1 (/ x (* y z)))) y)) (* -1/6 (/ x z))))
(* (pow y 2) (+ (* -1 (/ (+ 1/2 (* -1 (/ x (* y z)))) y)) (* -1/6 (/ x z))))
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z)
(/ (+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2))))) z)
(/ (+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2))))) z)
(/ (+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2))))) z)
(* -1/2 y)
(+ (* -1/2 y) (/ (* x (+ 1 (* -1/6 (pow y 2)))) z))
(+ (* -1/2 y) (/ (* x (+ 1 (* -1/6 (pow y 2)))) z))
(+ (* -1/2 y) (/ (* x (+ 1 (* -1/6 (pow y 2)))) z))
(* -1/2 y)
(+ (* -1/2 y) (/ (* x (+ 1 (* -1/6 (pow y 2)))) z))
(+ (* -1/2 y) (/ (* x (+ 1 (* -1/6 (pow y 2)))) z))
(+ (* -1/2 y) (/ (* x (+ 1 (* -1/6 (pow y 2)))) z))
Outputs
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))))
(fma.f64 (*.f64 y y) (*.f64 (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)) z) (fma.f64 x (sin.f64 y) z))
(+ (* x (sin y)) (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))))
(fma.f64 (*.f64 y y) (*.f64 (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)) z) (fma.f64 x (sin.f64 y) z))
(+ (* x (sin y)) (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))))
(fma.f64 (*.f64 y y) (*.f64 (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)) z) (fma.f64 x (sin.f64 y) z))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(fma.f64 z (*.f64 y (*.f64 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)))) z)
(* z (+ 1 (+ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) (/ (* x (sin y)) z))))
(-.f64 (fma.f64 z (*.f64 y (*.f64 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)))) z) (*.f64 (*.f64 x (neg.f64 (sin.f64 y))) #s(literal 1 binary64)))
(* z (+ 1 (+ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) (/ (* x (sin y)) z))))
(-.f64 (fma.f64 z (*.f64 y (*.f64 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)))) z) (*.f64 (*.f64 x (neg.f64 (sin.f64 y))) #s(literal 1 binary64)))
(* z (+ 1 (+ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) (/ (* x (sin y)) z))))
(-.f64 (fma.f64 z (*.f64 y (*.f64 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)))) z) (*.f64 (*.f64 x (neg.f64 (sin.f64 y))) #s(literal 1 binary64)))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(fma.f64 z (*.f64 y (*.f64 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)))) z)
(* -1 (* z (+ (* -1 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) (* -1 (/ (* x (sin y)) z)))))
(-.f64 (fma.f64 z (*.f64 y (*.f64 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)))) z) (*.f64 (*.f64 x (neg.f64 (sin.f64 y))) #s(literal 1 binary64)))
(* -1 (* z (+ (* -1 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) (* -1 (/ (* x (sin y)) z)))))
(-.f64 (fma.f64 z (*.f64 y (*.f64 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)))) z) (*.f64 (*.f64 x (neg.f64 (sin.f64 y))) #s(literal 1 binary64)))
(* -1 (* z (+ (* -1 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) (* -1 (/ (* x (sin y)) z)))))
(-.f64 (fma.f64 z (*.f64 y (*.f64 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)))) z) (*.f64 (*.f64 x (neg.f64 (sin.f64 y))) #s(literal 1 binary64)))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) z)
(* -1/720 (* (pow y 6) z))
(*.f64 #s(literal -1/720 binary64) (*.f64 z (pow.f64 y #s(literal 6 binary64))))
(* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 z (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y)))))
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 z (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))) (/.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y y) (*.f64 y y)))))
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (+ (/ z (pow y 6)) (/ (* x (sin y)) (pow y 6)))))))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (/.f64 (sin.f64 y) (pow.f64 y #s(literal 6 binary64))) (fma.f64 z (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (fma.f64 #s(literal 1/24 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (pow.f64 y #s(literal 6 binary64)))))))
(* -1/720 (* (pow y 6) z))
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simplify134.0ms (1.3%)

Memory
-39.1MiB live, 283.6MiB allocated
Algorithm
1×egg-herbie
Rules
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108719239
1108819239
0108819239
Stop Event
1×saturated
1×saturated
Counts
464 → 0
Calls
Call 1
Inputs
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x z) (*.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x z) (*.f64 y #s(literal -1/2 binary64))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) z)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 z z)))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) z) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 y #s(literal -1/2 binary64)))) z))))
(*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 z z)) (*.f64 (*.f64 y y) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) y))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) z)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 z z))))))
(*.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 z z)) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) y)))))
(*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) z))))
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 z (*.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))) z))
(+.f64 (fma.f64 z (*.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))) z) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 (*.f64 y y) (*.f64 (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)) z)) (+.f64 z (*.f64 x (sin.f64 y))))
(+.f64 (/.f64 (*.f64 z (*.f64 (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)) (fma.f64 z (*.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))) z))) (fma.f64 (*.f64 y y) (*.f64 (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)) z) (-.f64 z (*.f64 x (sin.f64 y))))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (fma.f64 (*.f64 y y) (*.f64 (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)) z) (-.f64 z (*.f64 x (sin.f64 y)))))))
(+.f64 (fma.f64 x (sin.f64 y) (*.f64 (*.f64 y y) (*.f64 (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)) z))) z)
(-.f64 (/.f64 (*.f64 z (*.f64 (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)) (fma.f64 z (*.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))) z))) (fma.f64 (*.f64 y y) (*.f64 (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)) z) (-.f64 z (*.f64 x (sin.f64 y))))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (fma.f64 (*.f64 y y) (*.f64 (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)) z) (-.f64 z (*.f64 x (sin.f64 y))))))
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(fma.f64 z (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)) (*.f64 x (sin.f64 y)))
(fma.f64 z (*.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))) (+.f64 z (*.f64 x (sin.f64 y))))
(fma.f64 y (*.f64 (*.f64 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))) z) (+.f64 z (*.f64 x (sin.f64 y))))
(fma.f64 (*.f64 y y) (*.f64 (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)) z) (+.f64 z (*.f64 x (sin.f64 y))))
(fma.f64 (*.f64 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))) (*.f64 z y) (+.f64 z (*.f64 x (sin.f64 y))))
(fma.f64 #s(literal 1 binary64) (fma.f64 z (*.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))) z) (*.f64 x (sin.f64 y)))
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(fma.f64 (*.f64 z (*.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)) (+.f64 z (*.f64 x (sin.f64 y))))
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(fma.f64 (*.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))) z (+.f64 z (*.f64 x (sin.f64 y))))
(fma.f64 (*.f64 z (*.f64 (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)) (fma.f64 z (*.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))) z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (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)) z) (-.f64 z (*.f64 x (sin.f64 y))))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (fma.f64 (*.f64 y y) (*.f64 (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)) z) (-.f64 z (*.f64 x (sin.f64 y)))))))
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(fma.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (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)) z)) (*.f64 (*.f64 y y) (*.f64 (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)) z)) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.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)) (neg.f64 z))) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 z (*.f64 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)))) y (+.f64 z (*.f64 x (sin.f64 y))))
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eval90.0ms (0.8%)

Memory
41.7MiB live, 194.6MiB allocated
Compiler

Compiled 12 637 to 271 computations (97.9% saved)

prune40.0ms (0.4%)

Memory
-19.3MiB live, 94.5MiB allocated
Pruning

31 alts after pruning (21 fresh and 10 done)

PrunedKeptTotal
New7779786
Fresh31215
Picked145
Done066
Total78131812
Accuracy
99.9%
Counts
812 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓39.3%
(fma.f64 (*.f64 z (*.f64 y y)) (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)
53.5%
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)))
53.8%
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64)))) x)))
53.8%
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 y (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)))
51.1%
(fma.f64 z (/.f64 (*.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x)) z) z)
✓47.0%
(fma.f64 z (*.f64 y (fma.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z) (*.f64 y #s(literal -1/2 binary64)))) z)
✓99.8%
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
✓53.9%
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
✓54.2%
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) z)
53.7%
(fma.f64 y (fma.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)) z)
46.7%
(fma.f64 y (fma.f64 y (*.f64 z (fma.f64 y (/.f64 (*.f64 x #s(literal -1/6 binary64)) z) #s(literal -1/2 binary64))) x) z)
39.7%
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z)
56.2%
(fma.f64 x (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) (*.f64 z (cos.f64 y)))
✓54.8%
(fma.f64 x y z)
53.4%
(+.f64 (*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
53.5%
(+.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
12.4%
(*.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (/.f64 (sin.f64 y) (pow.f64 y #s(literal 6 binary64))) (fma.f64 z (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (fma.f64 #s(literal 1/24 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (pow.f64 y #s(literal 6 binary64)))))))
3.0%
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/6 binary64) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))
18.9%
(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (+.f64 x (/.f64 z y)) y)))
✓3.4%
(*.f64 (*.f64 y y) (*.f64 y (*.f64 x #s(literal -1/6 binary64))))
3.4%
(*.f64 (*.f64 y y) (*.f64 x (*.f64 y #s(literal -1/6 binary64))))
3.3%
(*.f64 z (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))
3.2%
(*.f64 z (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))
✓60.7%
(*.f64 z (cos.f64 y))
✓41.2%
(*.f64 z #s(literal 1 binary64))
16.8%
(*.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x))
17.2%
(*.f64 y (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))
✓17.0%
(*.f64 y x)
17.2%
(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
3.3%
(*.f64 x (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))
40.7%
(*.f64 x (sin.f64 y))
Compiler

Compiled 1 325 to 493 computations (62.8% saved)

regimes61.0ms (0.6%)

Memory
4.7MiB live, 126.8MiB allocated
Counts
49 → 1
Calls
Call 1
Inputs
(*.f64 y x)
(*.f64 z #s(literal 1 binary64))
(fma.f64 x y z)
(*.f64 z (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))
(*.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x))
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z)
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 x (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(*.f64 (*.f64 y y) (*.f64 x (*.f64 y #s(literal -1/6 binary64))))
(*.f64 (*.f64 y y) (*.f64 y (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y))
(*.f64 y (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))
(fma.f64 y (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x) z)
(*.f64 z (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))
(fma.f64 (*.f64 z (*.f64 y y)) (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) z)
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/6 binary64) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))
(fma.f64 y (fma.f64 y (*.f64 z (fma.f64 y (/.f64 (*.f64 x #s(literal -1/6 binary64)) z) #s(literal -1/2 binary64))) x) z)
(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (+.f64 x (/.f64 z y)) y)))
(fma.f64 y (fma.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)) z)
(fma.f64 z (*.f64 y (fma.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z) (*.f64 y #s(literal -1/2 binary64)))) z)
(fma.f64 z (/.f64 (*.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x)) z) z)
(*.f64 (*.f64 y (*.f64 y y)) (-.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y)) y) (*.f64 x #s(literal 1/6 binary64))))
(+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 y (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)))
(+.f64 (*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)))
(+.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64)))) x)))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
(fma.f64 x (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)))
(+.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)) (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (fma.f64 (*.f64 y y) (*.f64 z (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))) z))
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 (*.f64 y y) (*.f64 z (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))) z))
(fma.f64 x (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 y (fma.f64 (*.f64 x (*.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)) x)) (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (/.f64 (sin.f64 y) (pow.f64 y #s(literal 6 binary64))) (fma.f64 z (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (fma.f64 #s(literal 1/24 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (pow.f64 y #s(literal 6 binary64)))))))
Outputs
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
Calls

4 calls:

15.0ms
x
15.0ms
z
14.0ms
y
14.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes62.0ms (0.6%)

Memory
1.0MiB live, 115.1MiB allocated
Counts
45 → 5
Calls
Call 1
Inputs
(*.f64 y x)
(*.f64 z #s(literal 1 binary64))
(fma.f64 x y z)
(*.f64 z (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))
(*.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x))
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z)
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 x (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(*.f64 (*.f64 y y) (*.f64 x (*.f64 y #s(literal -1/6 binary64))))
(*.f64 (*.f64 y y) (*.f64 y (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y))
(*.f64 y (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))
(fma.f64 y (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x) z)
(*.f64 z (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))
(fma.f64 (*.f64 z (*.f64 y y)) (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) z)
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/6 binary64) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))
(fma.f64 y (fma.f64 y (*.f64 z (fma.f64 y (/.f64 (*.f64 x #s(literal -1/6 binary64)) z) #s(literal -1/2 binary64))) x) z)
(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (+.f64 x (/.f64 z y)) y)))
(fma.f64 y (fma.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)) z)
(fma.f64 z (*.f64 y (fma.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z) (*.f64 y #s(literal -1/2 binary64)))) z)
(fma.f64 z (/.f64 (*.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x)) z) z)
(*.f64 (*.f64 y (*.f64 y y)) (-.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y)) y) (*.f64 x #s(literal 1/6 binary64))))
(+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 y (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)))
(+.f64 (*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)))
(+.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64)))) x)))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
(fma.f64 x (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)))
(+.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)) (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (fma.f64 (*.f64 y y) (*.f64 z (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))) z))
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 (*.f64 y y) (*.f64 z (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))) z))
(fma.f64 x (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 y (fma.f64 (*.f64 x (*.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)) x)) (*.f64 z (cos.f64 y)))
Outputs
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
(*.f64 z (cos.f64 y))
(*.f64 x (sin.f64 y))
Calls

4 calls:

17.0ms
y
15.0ms
x
14.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
12.0ms
z
Results
AccuracySegmentsBranch
74.7%3x
82.6%5y
75.0%3z
64.9%2(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes17.0ms (0.2%)

Memory
1.9MiB live, 35.3MiB allocated
Counts
36 → 3
Calls
Call 1
Inputs
(*.f64 y x)
(*.f64 z #s(literal 1 binary64))
(fma.f64 x y z)
(*.f64 z (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))
(*.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x))
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z)
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 x (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(*.f64 (*.f64 y y) (*.f64 x (*.f64 y #s(literal -1/6 binary64))))
(*.f64 (*.f64 y y) (*.f64 y (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y))
(*.f64 y (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))
(fma.f64 y (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x) z)
(*.f64 z (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))
(fma.f64 (*.f64 z (*.f64 y y)) (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) z)
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/6 binary64) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))
(fma.f64 y (fma.f64 y (*.f64 z (fma.f64 y (/.f64 (*.f64 x #s(literal -1/6 binary64)) z) #s(literal -1/2 binary64))) x) z)
(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (+.f64 x (/.f64 z y)) y)))
(fma.f64 y (fma.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)) z)
(fma.f64 z (*.f64 y (fma.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z) (*.f64 y #s(literal -1/2 binary64)))) z)
(fma.f64 z (/.f64 (*.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x)) z) z)
(*.f64 (*.f64 y (*.f64 y y)) (-.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y)) y) (*.f64 x #s(literal 1/6 binary64))))
(+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 y (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)))
(+.f64 (*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)))
(+.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64)))) x)))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (*.f64 z (cos.f64 y)))
Outputs
(*.f64 x (sin.f64 y))
(+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (*.f64 z (cos.f64 y)))
(*.f64 x (sin.f64 y))
Calls

1 calls:

15.0ms
y
Results
AccuracySegmentsBranch
78.1%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Memory
25.8MiB live, 25.9MiB allocated
Counts
35 → 4
Calls
Call 1
Inputs
(*.f64 y x)
(*.f64 z #s(literal 1 binary64))
(fma.f64 x y z)
(*.f64 z (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))
(*.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x))
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z)
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 x (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(*.f64 (*.f64 y y) (*.f64 x (*.f64 y #s(literal -1/6 binary64))))
(*.f64 (*.f64 y y) (*.f64 y (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y))
(*.f64 y (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))
(fma.f64 y (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x) z)
(*.f64 z (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))
(fma.f64 (*.f64 z (*.f64 y y)) (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) z)
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/6 binary64) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))
(fma.f64 y (fma.f64 y (*.f64 z (fma.f64 y (/.f64 (*.f64 x #s(literal -1/6 binary64)) z) #s(literal -1/2 binary64))) x) z)
(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (+.f64 x (/.f64 z y)) y)))
(fma.f64 y (fma.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)) z)
(fma.f64 z (*.f64 y (fma.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z) (*.f64 y #s(literal -1/2 binary64)))) z)
(fma.f64 z (/.f64 (*.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x)) z) z)
(*.f64 (*.f64 y (*.f64 y y)) (-.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y)) y) (*.f64 x #s(literal 1/6 binary64))))
(+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 y (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)))
(+.f64 (*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)))
(+.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64)))) x)))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
Outputs
(*.f64 x (sin.f64 y))
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64)))) x)))
(*.f64 z (cos.f64 y))
(*.f64 x (sin.f64 y))
Calls

1 calls:

10.0ms
y
Results
AccuracySegmentsBranch
79.5%4y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes16.0ms (0.1%)

Memory
-9.0MiB live, 28.4MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
(*.f64 y x)
(*.f64 z #s(literal 1 binary64))
(fma.f64 x y z)
(*.f64 z (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))
(*.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x))
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z)
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 x (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(*.f64 (*.f64 y y) (*.f64 x (*.f64 y #s(literal -1/6 binary64))))
(*.f64 (*.f64 y y) (*.f64 y (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y))
(*.f64 y (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))
(fma.f64 y (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x) z)
(*.f64 z (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))
(fma.f64 (*.f64 z (*.f64 y y)) (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) z)
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/6 binary64) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))
(fma.f64 y (fma.f64 y (*.f64 z (fma.f64 y (/.f64 (*.f64 x #s(literal -1/6 binary64)) z) #s(literal -1/2 binary64))) x) z)
(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (+.f64 x (/.f64 z y)) y)))
(fma.f64 y (fma.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)) z)
(fma.f64 z (*.f64 y (fma.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z) (*.f64 y #s(literal -1/2 binary64)))) z)
(fma.f64 z (/.f64 (*.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x)) z) z)
(*.f64 (*.f64 y (*.f64 y y)) (-.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y)) y) (*.f64 x #s(literal 1/6 binary64))))
(+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 y (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)))
(+.f64 (*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)))
(+.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64)))) x)))
(*.f64 x (sin.f64 y))
Outputs
(*.f64 x (sin.f64 y))
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64)))) x)))
(*.f64 x (sin.f64 y))
Calls

1 calls:

14.0ms
y
Results
AccuracySegmentsBranch
77.8%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes72.0ms (0.7%)

Memory
-37.4MiB live, 60.9MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
(*.f64 y x)
(*.f64 z #s(literal 1 binary64))
(fma.f64 x y z)
(*.f64 z (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))
(*.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x))
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z)
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 x (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(*.f64 (*.f64 y y) (*.f64 x (*.f64 y #s(literal -1/6 binary64))))
(*.f64 (*.f64 y y) (*.f64 y (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y))
(*.f64 y (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))
(fma.f64 y (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x) z)
(*.f64 z (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))
(fma.f64 (*.f64 z (*.f64 y y)) (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) z)
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/6 binary64) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))
(fma.f64 y (fma.f64 y (*.f64 z (fma.f64 y (/.f64 (*.f64 x #s(literal -1/6 binary64)) z) #s(literal -1/2 binary64))) x) z)
(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (+.f64 x (/.f64 z y)) y)))
(fma.f64 y (fma.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)) z)
(fma.f64 z (*.f64 y (fma.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z) (*.f64 y #s(literal -1/2 binary64)))) z)
(fma.f64 z (/.f64 (*.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x)) z) z)
(*.f64 (*.f64 y (*.f64 y y)) (-.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y)) y) (*.f64 x #s(literal 1/6 binary64))))
(+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 y (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)))
(+.f64 (*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)))
(+.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
(fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64)))) x)))
Outputs
(fma.f64 x y z)
Calls

4 calls:

16.0ms
y
9.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
9.0ms
z
9.0ms
x
Results
AccuracySegmentsBranch
54.8%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
54.8%1x
54.8%1z
54.8%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory
15.3MiB live, 15.3MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
(*.f64 y x)
(*.f64 z #s(literal 1 binary64))
Outputs
(*.f64 z #s(literal 1 binary64))
(*.f64 y x)
(*.f64 z #s(literal 1 binary64))
Calls

4 calls:

2.0ms
x
2.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
45.7%3z
41.2%1y
41.2%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
45.2%3x
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0.1%)

Memory
8.3MiB live, 8.4MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

1.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
1.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
17.0%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
17.0%1y
17.0%1x
17.0%1z
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch92.0ms (0.9%)

Memory
7.3MiB live, 127.3MiB allocated
Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
6.9412481939401915e+193
1.425582196833662e+196
25.0ms
2.183711351429183e+31
7.58288766347131e+37
24.0ms
-5.47399970804937e+32
-3.453948294649905e+24
22.0ms
-7.633637095887206e+220
-2.549455102600039e+216
Samples
61.0ms528×0valid
Compiler

Compiled 795 to 536 computations (32.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-sin: 19.0ms (40.1% of total)
ival-cos: 16.0ms (33.8% of total)
ival-mult: 10.0ms (21.1% of total)
ival-add: 2.0ms (4.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch50.0ms (0.5%)

Memory
-26.0MiB live, 49.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
60446405121.70698
2290556887415945.5
27.0ms
-12.463918983446538
-0.10233251943298692
Samples
36.0ms240×0valid
Compiler

Compiled 420 to 284 computations (32.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-sin: 19.0ms (62.5% of total)
ival-cos: 7.0ms (23% of total)
ival-mult: 3.0ms (9.9% of total)
ival-add: 1.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch63.0ms (0.6%)

Memory
22.5MiB live, 60.1MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
6.9412481939401915e+193
1.425582196833662e+196
48.0ms
1.903193239808718
17713805.07036823
12.0ms
-12.463918983446538
-0.10233251943298692
Samples
50.0ms224×0valid
Compiler

Compiled 959 to 578 computations (39.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-cos: 34.0ms (75.7% of total)
ival-sin: 7.0ms (15.6% of total)
ival-mult: 3.0ms (6.7% of total)
ival-add: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch41.0ms (0.4%)

Memory
-11.5MiB live, 33.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
38.0ms
2.397129432446711e-12
1.903193239808718
1.0ms
-12.463918983446538
-0.10233251943298692
Samples
9.0ms160×0valid
Compiler

Compiled 899 to 524 computations (41.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (35.1% of total)
ival-sin: 2.0ms (35.1% of total)
ival-add: 1.0ms (17.6% of total)
ival-cos: 1.0ms (17.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch42.0ms (0.4%)

Memory
2.8MiB live, 80.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
-5.854904256288598e-288
-1.0344890669810482e-299
20.0ms
-1.6402643152288105e-111
-1.4307767162676872e-123
Samples
28.0ms320×0valid
Compiler

Compiled 295 to 234 computations (20.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sin: 7.0ms (36.6% of total)
ival-cos: 6.0ms (31.4% of total)
ival-mult: 4.0ms (20.9% of total)
ival-add: 1.0ms (5.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify8.0ms (0.1%)

Memory
16.3MiB live, 16.3MiB allocated
Algorithm
1×egg-herbie
Rules
24×*-commutative_binary64
4×+-commutative_binary64
2×1-exp_binary64
2×*-rgt-identity_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073229
192229
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(if (<=.f64 y #s(literal -8499999999999999722812838769230784797330670215928356076542797689609545929325600269661454407273997797484029798373105764920240792340026912023133088036438338276721529850062857108092665491297045555039958638747173779406848 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal -36999999999999998842372096 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 y #s(literal 44999999999999996109733513658368 binary64)) (+.f64 (*.f64 x (sin.f64 y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)) (if (<=.f64 y #s(literal 101999999999999999866362152449858867205946127393144005580355689617197946452174087745390029808394266431235543034352369792742152160113432786469217325835532221829242701062103994260684045415450935296 binary64)) (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(if (<=.f64 y #s(literal -8782019273372467/2251799813685248 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 12500000000000 binary64)) (+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (*.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y))))
(if (<=.f64 y #s(literal -2476979795053773/2251799813685248 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 1080863910568919/562949953421312 binary64)) (fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64)))) x))) (if (<=.f64 y #s(literal 101999999999999999866362152449858867205946127393144005580355689617197946452174087745390029808394266431235543034352369792742152160113432786469217325835532221829242701062103994260684045415450935296 binary64)) (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(if (<=.f64 y #s(literal -2476979795053773/2251799813685248 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 5854679515581645/9007199254740992 binary64)) (fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64)))) x))) (*.f64 x (sin.f64 y))))
(fma.f64 x y z)
(if (<=.f64 z #s(literal -1472980775001683/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432 binary64)) (*.f64 z #s(literal 1 binary64)) (if (<=.f64 z #s(literal -7917075081641829/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664 binary64)) (*.f64 y x) (*.f64 z #s(literal 1 binary64))))
(*.f64 y x)
Outputs
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(if (<=.f64 y #s(literal -8499999999999999722812838769230784797330670215928356076542797689609545929325600269661454407273997797484029798373105764920240792340026912023133088036438338276721529850062857108092665491297045555039958638747173779406848 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal -36999999999999998842372096 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 y #s(literal 44999999999999996109733513658368 binary64)) (+.f64 (*.f64 x (sin.f64 y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)) (if (<=.f64 y #s(literal 101999999999999999866362152449858867205946127393144005580355689617197946452174087745390029808394266431235543034352369792742152160113432786469217325835532221829242701062103994260684045415450935296 binary64)) (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(if (<=.f64 y #s(literal -8782019273372467/2251799813685248 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 12500000000000 binary64)) (+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (*.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y))))
(if (<=.f64 y #s(literal -8782019273372467/2251799813685248 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 12500000000000 binary64)) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y))) (*.f64 x (sin.f64 y))))
(if (<=.f64 y #s(literal -2476979795053773/2251799813685248 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 1080863910568919/562949953421312 binary64)) (fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64)))) x))) (if (<=.f64 y #s(literal 101999999999999999866362152449858867205946127393144005580355689617197946452174087745390029808394266431235543034352369792742152160113432786469217325835532221829242701062103994260684045415450935296 binary64)) (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(if (<=.f64 y #s(literal -2476979795053773/2251799813685248 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 5854679515581645/9007199254740992 binary64)) (fma.f64 z (fma.f64 y (*.f64 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)) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64)))) x))) (*.f64 x (sin.f64 y))))
(fma.f64 x y z)
(if (<=.f64 z #s(literal -1472980775001683/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432 binary64)) (*.f64 z #s(literal 1 binary64)) (if (<=.f64 z #s(literal -7917075081641829/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664 binary64)) (*.f64 y x) (*.f64 z #s(literal 1 binary64))))
(if (<=.f64 z #s(literal -1472980775001683/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432 binary64)) z (if (<=.f64 z #s(literal -7917075081641829/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664 binary64)) (*.f64 x y) z))
(*.f64 y x)
(*.f64 x y)

soundness1.7s (15.8%)

Memory
0.5MiB live, 749.8MiB allocated
Rules
17 958×lower-fma.f64
17 958×lower-fma.f32
17 168×lower-fma.f64
17 168×lower-fma.f32
16 956×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02963973
19493879
231063790
379743790
082243483
02812949
19402870
229872833
368552808
084342525
02573139
18513076
225303024
359243004
085882703
093620
1293616
2869612
32059606
43759606
56370606
08927556
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 470 to 226 computations (51.9% saved)

preprocess105.0ms (1%)

Memory
-14.4MiB live, 149.7MiB allocated
Compiler

Compiled 488 to 160 computations (67.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...