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

Time bar (total: 11.6s)

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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 (9.8%)

Memory
-5.5MiB live, 1 507.0MiB allocated
Samples
884.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 650.0ms
ival-sin: 231.0ms (35.6% of total)
ival-cos: 187.0ms (28.8% of total)
ival-mult: 181.0ms (27.9% of total)
ival-add: 41.0ms (6.3% of total)
ival-true: 7.0ms (1.1% of total)
ival-assert: 4.0ms (0.6% of total)
Bogosity

preprocess49.0ms (0.4%)

Memory
18.1MiB live, 52.7MiB 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)))

explain128.0ms (1.1%)

Memory
20.0MiB live, 258.6MiB 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
67.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 20.0ms (41.1% of total)
ival-sin: 12.0ms (24.6% of total)
ival-cos: 11.0ms (22.6% of total)
ival-add: 4.0ms (8.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB 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)

simplify16.0ms (0.1%)

Memory
-34.4MiB live, 10.7MiB 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
-7.2MiB live, 71.4MiB 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)))
✓accuracy99.8%
(*.f64 x (sin.f64 y))
✓accuracy99.8%
(*.f64 z (cos.f64 y))
Samples
25.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sin: 6.0ms (35.4% of total)
ival-cos: 5.0ms (29.5% of total)
ival-mult: 4.0ms (23.6% of total)
ival-add: 1.0ms (5.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
16.8MiB live, 16.8MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))>
#<alt (*.f64 x (sin.f64 y))>
#<alt (sin.f64 y)>
#<alt (*.f64 z (cos.f64 y))>
#<alt (cos.f64 y)>
Outputs
#<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 (* 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 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 (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 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

27 calls:

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

rewrite782.0ms (6.7%)

Memory
3.5MiB live, 642.7MiB 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
0821
01321
12921
218521
3183621
0839120
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 177
Calls
Call 1
Inputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 x (sin.f64 y))
(sin.f64 y)
(*.f64 z (cos.f64 y))
(cos.f64 y)
Outputs
(+.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)))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (*.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 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (*.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 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))))
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(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 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 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 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)))))))))
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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))))))))
(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))))
(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))))
(cos.f64 y)

simplify430.0ms (3.7%)

Memory
-20.9MiB live, 540.8MiB allocated
Algorithm
1×egg-herbie
Rules
12 858×lower-fma.f64
12 858×lower-fma.f32
4 718×lower-*.f64
4 718×lower-*.f32
2 178×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109682
1344678
2991668
32652662
44669662
56964662
08196606
Stop Event
1×iter limit
1×node limit
Counts
108 → 105
Calls
Call 1
Inputs
(* 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)))))
(* 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))
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 (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))
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
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
z
(+ z (* x y))
(fma.f64 y x z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 z (*.f64 y #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 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 z (cos.f64 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 (sin y))
(*.f64 x (sin.f64 y))
(* x y)
(*.f64 y x)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (fma.f64 (*.f64 y x) (*.f64 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 y (*.f64 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))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) 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)
(* 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 (*.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 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)) 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))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.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)

eval32.0ms (0.3%)

Memory
40.1MiB live, 78.1MiB allocated
Compiler

Compiled 10 107 to 557 computations (94.5% saved)

prune63.0ms (0.5%)

Memory
-17.6MiB live, 100.2MiB allocated
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New26319282
Fresh000
Picked101
Done000
Total26419283
Accuracy
99.9%
Counts
283 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.9%
(fma.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 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)))))))
55.5%
(fma.f64 (*.f64 x (*.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.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)))))))
99.8%
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
▶99.8%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
46.6%
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
46.7%
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
▶47.9%
(fma.f64 y x z)
57.9%
(fma.f64 x (/.f64 (*.f64 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)))) (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)))))))
13.9%
(/.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 (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)))))
45.8%
(/.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 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
▶50.6%
(+.f64 (*.f64 x (sin.f64 y)) (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)) z))
51.7%
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z))
54.3%
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
74.8%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(literal 1 binary64)))
48.3%
(*.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 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (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))))))))
▶45.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.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 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
▶59.1%
(*.f64 z (cos.f64 y))
41.7%
(*.f64 x (sin.f64 y))
Compiler

Compiled 1 030 to 504 computations (51.1% saved)

simplify473.0ms (4.1%)

Memory
5.0MiB live, 800.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff128
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (-.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 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
✓cost-diff6272
(-.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))))))
✓cost-diff0
(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)) z)
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(*.f64 x (sin.f64 y))
✓cost-diff128
(+.f64 (*.f64 x (sin.f64 y)) (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)) z))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(*.f64 z (cos.f64 y))
✓cost-diff0
(fma.f64 y x z)
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(*.f64 x (sin.f64 y))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
Rules
17 404×lower-fma.f32
17 394×lower-fma.f64
3 734×lower-*.f32
3 712×lower-*.f64
2 672×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034273
065273
1137271
2387271
31217271
42784267
56382267
08139260
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(cos.f64 y)
y
z
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
(fma.f64 y x z)
y
x
z
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
y
(+.f64 (*.f64 x (sin.f64 y)) (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)) z))
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(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)) z)
(*.f64 z (*.f64 y y))
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))
(fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(*.f64 y #s(literal -1/720 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (-.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 y 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) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
#s(literal 1 binary64)
(-.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)
(-.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 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 x x)
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.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 z z)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
Outputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(cos.f64 y)
y
z
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
(fma.f64 y x z)
y
x
z
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
z
(cos.f64 y)
y
(+.f64 (*.f64 x (sin.f64 y)) (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)) z))
(fma.f64 z (fma.f64 y (*.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))) #s(literal 1 binary64)) (*.f64 x (sin.f64 y)))
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(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)) z)
(fma.f64 (*.f64 y (*.f64 y 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)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
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))
(fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(*.f64 y #s(literal -1/720 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (-.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 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 z (neg.f64 z) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 z z (*.f64 x x)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))
#s(literal 1 binary64)
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
z
(cos.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 z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 z (neg.f64 z) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 z z (*.f64 x x))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 x (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(*.f64 x x)
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.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 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(*.f64 z z)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))

localize266.0ms (2.3%)

Memory
-1.7MiB live, 440.2MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy94.8%
(-.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))))))
✓accuracy91.9%
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
✓accuracy78.3%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓accuracy56.7%
(*.f64 (/.f64 #s(literal 1 binary64) (-.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 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
✓accuracy99.8%
(*.f64 x (sin.f64 y))
✓accuracy99.6%
(*.f64 y #s(literal -1/720 binary64))
✓accuracy99.6%
(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)) z)
✓accuracy89.9%
(*.f64 z (*.f64 y y))
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.8%
(*.f64 z (cos.f64 y))
✓accuracy100.0%
(fma.f64 y x z)
✓accuracy100.0%
(sin.f64 y)
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.9%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
✓accuracy99.8%
(*.f64 x (sin.f64 y))
Samples
53.0ms69×1valid
52.0ms144×0valid
45.0ms39×2valid
22.0ms4×3valid
Compiler

Compiled 275 to 41 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-mult: 31.0ms (24.3% of total)
adjust: 29.0ms (22.7% of total)
ival-cos: 28.0ms (21.9% of total)
ival-add: 14.0ms (11% of total)
const: 11.0ms (8.6% of total)
ival-sin: 6.0ms (4.7% of total)
ival-sub: 5.0ms (3.9% of total)
ival-div: 3.0ms (2.3% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series41.0ms (0.4%)

Memory
-5.7MiB live, 74.3MiB allocated
Counts
15 → 360
Calls
Call 1
Inputs
#<alt (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))>
#<alt (cos.f64 y)>
#<alt (*.f64 x (sin.f64 y))>
#<alt (sin.f64 y)>
#<alt (fma.f64 y x z)>
#<alt (*.f64 z (cos.f64 y))>
#<alt (+.f64 (*.f64 x (sin.f64 y)) (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)) z))>
#<alt (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)) z)>
#<alt (-.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))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (-.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 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))>
#<alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))>
#<alt (*.f64 z (*.f64 y y))>
#<alt (*.f64 y #s(literal -1/720 binary64))>
#<alt (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))>
Outputs
#<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 (* 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 (* 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 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 (* 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 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 (* 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 (* 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 (* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (+ z (+ (* x (sin y)) (* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))))>
#<alt (+ z (+ (* x (sin y)) (* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))))>
#<alt (+ z (+ (* x (sin y)) (* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (+ (/ z x) (/ (* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) x))))>
#<alt (* x (+ (sin y) (+ (/ z x) (/ (* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) x))))>
#<alt (* x (+ (sin y) (+ (/ z x) (/ (* (pow y 2) (* z (- (* (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 (* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ z (* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ z (* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (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 (* -1/720 (* (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 (* 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 (* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (* -1 (/ (* x (sin y)) z))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (* -1 (/ (* x (sin y)) z))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (* -1 (/ (* x (sin y)) z))) 1)))>
#<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))))>
#<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))))>
#<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))))>
#<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))))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) 1)))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) 1)))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) 1)))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (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) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))>
#<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))))))>
#<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))))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* -1 (pow z 2))>
#<alt (- (* (pow y 2) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))>
#<alt (- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow x 2)) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2))>
#<alt (- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow x 2)) (* (pow y 2) (- (* 2/45 (pow x 2)) (* -2/45 (pow z 2))))) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* x (- (* x (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* x (- (* x (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (/ (* x (* (sin y) (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3))))))) (* z (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (* x (- (+ (* 1/2 (/ 1 (sin y))) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))>
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))>
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (+ (* 1/2 (/ 1 (sin y))) (/ (* z (* (cos y) (- (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* (pow x 3) (sin y))))) (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))>
#<alt (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))))))>
#<alt (* -1 (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) x)) (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (cos y) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))))) (* x (sin y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) x)) (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (- (* y (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x))))>
#<alt (+ z (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) z)) (+ (* -1/2 x) (* 1/6 x))))) (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z))) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x))))>
#<alt (/ (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (- (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (- (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (- (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (- (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (+ (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))>
#<alt (+ (* z (- (* z (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (+ (* z (- (* z (- (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (/ (* z (* (cos y) (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3))))))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (- (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow z 3) (cos y)))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (sin y) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* z (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (* (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 (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))>
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
Calls

90 calls:

TimeVariablePointExpression
4.0ms
y
@-inf
(+ (* (* z (* y y)) (+ (* (* y y) (+ (* y (* y -1/720)) 1/24)) -1/2)) z)
4.0ms
y
@inf
(- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))
2.0ms
y
@0
(* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))
1.0ms
x
@0
(- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))
1.0ms
z
@inf
(+ (* y x) z)

rewrite510.0ms (4.4%)

Memory
24.0MiB live, 740.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 350×lower-fma.f32
7 340×lower-fma.f64
5 592×lower-*.f32
5 570×lower-*.f64
4 678×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034163
065134
1273108
22279108
09848107
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 578
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(cos.f64 y)
(*.f64 x (sin.f64 y))
(sin.f64 y)
(fma.f64 y x z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) (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)) z))
(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)) z)
(-.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 (/.f64 #s(literal 1 binary64) (-.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 y 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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(*.f64 z (*.f64 y y))
(*.f64 y #s(literal -1/720 binary64))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (neg.f64 (*.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) (*.f64 (neg.f64 (*.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))))
(-.f64 (/.f64 (*.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))) (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (/.f64 (*.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (fma.f64 (*.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (fma.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)) (fma.f64 (*.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (fma.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (fma.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64)) (fma.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
(-.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z (*.f64 z #s(literal 1/2 binary64)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (/.f64 (*.f64 (cos.f64 (+.f64 y y)) (*.f64 z (*.f64 z #s(literal 1/2 binary64)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
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(*.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (*.f64 x x) (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64))))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
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(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64))) (/.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64))))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))

simplify504.0ms (4.3%)

Memory
-11.6MiB live, 621.6MiB allocated
Algorithm
1×egg-herbie
Rules
9 612×lower-fma.f64
9 612×lower-fma.f32
7 620×lower-*.f64
7 620×lower-*.f32
2 432×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05055678
117465547
262205512
086225016
Stop Event
1×iter limit
1×node limit
Counts
360 → 350
Calls
Call 1
Inputs
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)))))
(* 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)))))
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)
(* x (sin y))
(* x (sin y))
(* x (sin y))
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(* x (sin y))
(* x (sin y))
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(* 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))
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))
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(+ 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)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
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(* 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)))))
(* 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)))
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(* z (cos y))
(* z (cos y))
(* z (cos y))
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(* z (cos y))
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z
(+ z (* -1/2 (* (pow y 2) z)))
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(+ 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 (* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+ z (+ (* x (sin y)) (* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))))
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(* x (+ (sin y) (+ (/ z x) (/ (* (pow y 2) (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) x))))
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(* (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)))))))
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(+ (* 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))))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) 1)))
(* -1 (* z (- (+ (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (* -1 (/ (* x (sin y)) z))) 1)))
(* -1 (* z (- (+ (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (* -1 (/ (* x (sin y)) z))) 1)))
(* -1 (* z (- (+ (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (* -1 (/ (* x (sin y)) z))) 1)))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
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(* 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))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
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(* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) 1)))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) 1)))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) 1)))
z
(+ z (* -1/2 (* (pow y 2) z)))
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(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(* -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))))))
(* -1/720 (* (pow y 6) z))
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(* (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))))))
(* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
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(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
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(* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(* -1 (pow z 2))
(- (* (pow y 2) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow x 2)) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2))
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(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
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(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* x (- (* x (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* x (- (* x (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (/ (* x (* (sin y) (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3))))))) (* z (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(* x (- (+ (* 1/2 (/ 1 (sin y))) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))
(* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))
(* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (+ (* 1/2 (/ 1 (sin y))) (/ (* z (* (cos y) (- (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* (pow x 3) (sin y))))) (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))
(/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(* -1 (* x (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))))))
(* -1 (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) x)) (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) x)))))
(* -1 (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (cos y) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))))) (* x (sin y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) x)) (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) x)))))
z
(+ z (* x y))
(+ z (* y (- (* y (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x))))
(+ z (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) z)) (+ (* -1/2 x) (* 1/6 x))))) (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z))) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x))))
(/ (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (sin y)) (* z (cos y))))
(/ (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (sin y)) (* z (cos y))))
(/ (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (sin y)) (* z (cos y))))
(/ (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (sin y)) (* z (cos y))))
(/ (- (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (sin y)) (* z (cos y))))
(/ (- (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (sin y)) (* z (cos y))))
(/ (- (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (sin y)) (* z (cos y))))
(/ (- (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (sin y)) (* z (cos y))))
(/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(+ (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))
(+ (* z (- (* z (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+ (* z (- (* z (- (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (/ (* z (* (cos y) (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3))))))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))
(* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))
(* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (- (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow z 3) (cos y)))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (sin y) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* z (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(* (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)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
Outputs
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 z (*.f64 y #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 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* 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 y (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 x #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 y y) (fma.f64 x #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 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))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 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)
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* y (+ x (/ z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(* y (+ x (/ z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(* y (+ x (/ z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(*.f64 y (+.f64 x (/.f64 z y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
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(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
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(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))
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(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (sin y) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* z (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))
(*.f64 z (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (-.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 (*.f64 x (sin.f64 y)) (/.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 x x) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))) z)) z)))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(- 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
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(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 x (*.f64 y y)))
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))
(*.f64 y (*.f64 y (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x))))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2/45 binary64) (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 2/45 binary64)) (*.f64 #s(literal -1/315 binary64) (*.f64 x (*.f64 x (*.f64 y y))))) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))

eval289.0ms (2.5%)

Memory
12.6MiB live, 257.1MiB allocated
Compiler

Compiled 44 580 to 2 133 computations (95.2% saved)

prune228.0ms (2%)

Memory
4.5MiB live, 281.0MiB allocated
Pruning

39 alts after pruning (36 fresh and 3 done)

PrunedKeptTotal
New1 024311 055
Fresh9514
Picked235
Done000
Total1 035391 074
Accuracy
100.0%
Counts
1 074 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.2%
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))
33.4%
(fma.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)) (*.f64 z (*.f64 y y)) z)
33.3%
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)
57.9%
(fma.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 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)))))))
▶99.8%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
✓99.8%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
46.2%
(fma.f64 z (/.f64 (*.f64 x y) z) z)
55.6%
(fma.f64 z (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 y))))
46.6%
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
▶46.7%
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
✓47.9%
(fma.f64 y x z)
74.8%
(fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y)))
33.6%
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)) z)
▶19.0%
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
28.3%
(/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x)))
30.0%
(/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
46.4%
(+.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64))) (*.f64 x #s(literal -1/6 binary64))) x)) (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)) z))
47.9%
(+.f64 (*.f64 y x) z)
46.4%
(+.f64 (*.f64 x (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)) (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)) z))
46.0%
(+.f64 (*.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)) (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)) z))
46.2%
(+.f64 (*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)) (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)) z))
18.9%
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))))
58.9%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
▶29.1%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 y)))
10.5%
(*.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 z #s(literal -1/720 binary64) (fma.f64 z (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) (fma.f64 (sin.f64 y) (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 z (pow.f64 y #s(literal 6 binary64))))))))
45.5%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z (*.f64 z #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (+.f64 y y)) (*.f64 z (*.f64 z #s(literal 1/2 binary64))))))
49.4%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
45.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.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 y y))))) (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
16.1%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
99.6%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))
33.4%
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
93.8%
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
✓59.1%
(*.f64 z (cos.f64 y))
35.8%
(*.f64 z #s(literal 1 binary64))
88.0%
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
41.7%
(*.f64 x (sin.f64 y))
▶15.7%
(*.f64 x y)
42.8%
(neg.f64 (*.f64 z (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal -1 binary64))))
Compiler

Compiled 1 683 to 924 computations (45.1% saved)

simplify795.0ms (6.9%)

Memory
-150.1MiB live, 611.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y #s(literal -2 binary64))
✓cost-diff0
(cos.f64 (*.f64 y #s(literal -2 binary64)))
✓cost-diff0
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 y)))
✓cost-diff0
(*.f64 y (*.f64 x (*.f64 y x)))
✓cost-diff0
(*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z))
✓cost-diff1088
(-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z)))
✓cost-diff3712
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
✓cost-diff0
(*.f64 (*.f64 y x) #s(literal -1/6 binary64))
✓cost-diff0
(fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64)))
✓cost-diff0
(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x)
✓cost-diff0
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(*.f64 (cos.f64 y) z)
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
Rules
14 526×lower-fma.f32
14 516×lower-fma.f64
4 300×lower-*.f32
4 276×lower-*.f64
2 296×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031224
060224
1111212
2289202
3922190
42799188
57351188
08680186
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(sin.f64 y)
y
x
(*.f64 (cos.f64 y) z)
(cos.f64 y)
z
(*.f64 x y)
x
y
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
y
(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x)
(fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64)))
z
#s(literal -1/2 binary64)
(*.f64 (*.f64 y x) #s(literal -1/6 binary64))
(*.f64 y x)
x
#s(literal -1/6 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z)))
(*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z))
(*.f64 y (*.f64 x (*.f64 y x)))
y
(*.f64 x (*.f64 y x))
x
(*.f64 y x)
(-.f64 (*.f64 y x) z)
z
(*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z))
(*.f64 z z)
(*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 y)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
#s(literal 1/2 binary64)
(/.f64 x (sin.f64 y))
x
(sin.f64 y)
Outputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(sin.f64 y)
y
x
(*.f64 (cos.f64 y) z)
(cos.f64 y)
z
(*.f64 x y)
(*.f64 y x)
x
y
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)
y
(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x)
(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x)
(fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64)))
(fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64))))
z
#s(literal -1/2 binary64)
(*.f64 (*.f64 y x) #s(literal -1/6 binary64))
(*.f64 x (*.f64 y #s(literal -1/6 binary64)))
(*.f64 y x)
x
#s(literal -1/6 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(fma.f64 y x z)
(-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z)))
(*.f64 (-.f64 (*.f64 y x) z) (*.f64 (-.f64 (*.f64 y x) z) (fma.f64 y x z)))
(*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z))
(*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (*.f64 y x) z))
(*.f64 y (*.f64 x (*.f64 y x)))
(*.f64 y (*.f64 y (*.f64 x x)))
y
(*.f64 x (*.f64 y x))
(*.f64 y (*.f64 x x))
x
(*.f64 y x)
(-.f64 (*.f64 y x) z)
z
(*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z))
(*.f64 z z)
(*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 y)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
#s(literal 1/2 binary64)
(/.f64 x (sin.f64 y))
x
(sin.f64 y)

localize302.0ms (2.6%)

Memory
25.5MiB live, 383.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 (*.f64 y #s(literal -2 binary64)))
✓accuracy99.8%
(/.f64 x (sin.f64 y))
✓accuracy85.1%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 y)))
✓accuracy78.3%
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓accuracy94.8%
(*.f64 y (*.f64 x (*.f64 y x)))
✓accuracy92.6%
(*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z))
✓accuracy80.9%
(-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z)))
✓accuracy35.3%
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
✓accuracy100.0%
(fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64)))
✓accuracy99.9%
(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x)
✓accuracy99.9%
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
✓accuracy99.6%
(*.f64 (*.f64 y x) #s(literal -1/6 binary64))
✓accuracy100.0%
(*.f64 x y)
✓accuracy100.0%
(sin.f64 y)
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.9%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
✓accuracy99.8%
(*.f64 (cos.f64 y) z)
Samples
124.0ms79×2valid
73.0ms142×0valid
38.0ms13×4valid
9.0ms16×1valid
6.0ms6×3valid
Compiler

Compiled 226 to 38 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 206.0ms
ival-mult: 80.0ms (38.9% of total)
ival-add: 64.0ms (31.1% of total)
ival-cos: 27.0ms (13.1% of total)
adjust: 13.0ms (6.3% of total)
ival-sin: 7.0ms (3.4% of total)
ival-div: 4.0ms (1.9% of total)
ival-sub: 4.0ms (1.9% of total)
const: 4.0ms (1.9% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series53.0ms (0.5%)

Memory
-21.3MiB live, 136.1MiB allocated
Counts
19 → 492
Calls
Call 1
Inputs
#<alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))>
#<alt (sin.f64 y)>
#<alt (*.f64 (cos.f64 y) z)>
#<alt (cos.f64 y)>
#<alt (*.f64 x y)>
#<alt (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)>
#<alt (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x)>
#<alt (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64)))>
#<alt (*.f64 (*.f64 y x) #s(literal -1/6 binary64))>
#<alt (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))>
#<alt (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z)))>
#<alt (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z))>
#<alt (*.f64 y (*.f64 x (*.f64 y x)))>
#<alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 y)))>
#<alt (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))>
#<alt (cos.f64 (*.f64 y #s(literal -2 binary64)))>
#<alt (*.f64 y #s(literal -2 binary64))>
#<alt (*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z))>
#<alt (/.f64 x (sin.f64 y))>
Outputs
#<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 (* 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)))>
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#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (/ (pow z 3) (pow x 2)) (+ (* 2 (/ (* z (- (/ (pow z 2) x) (+ (* -1 (/ (pow z 2) x)) (* 2 (/ (* z (- (* -1 z) (* -2 z))) x))))) x)) (/ (* (pow z 2) (- (* -1 z) (* -2 z))) (pow x 2)))) y)) (/ (pow z 2) x)) (+ (* -1 (/ (pow z 2) x)) (* 2 (/ (* z (- (* -1 z) (* -2 z))) x)))) y))) (* -2 z)) y)))))>
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#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (/ (pow z 3) (pow y 2)) (+ (* 2 (/ (* z (- (/ (pow z 2) y) (+ (* -1 (/ (pow z 2) y)) (* 2 (/ (* z (- (* -1 z) (* -2 z))) y))))) y)) (/ (* (pow z 2) (- (* -1 z) (* -2 z))) (pow y 2)))) x)) (/ (pow z 2) y)) (+ (* -1 (/ (pow z 2) y)) (* 2 (/ (* z (- (* -1 z) (* -2 z))) y)))) x))) (* -2 z)) x)))))>
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#<alt z>
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#<alt (* -1 (* z (- (* -1 (/ (- (+ (* -1 (* x y)) (* -1 (/ (- (+ (* -1 (/ (- (* (pow x 3) (pow y 3)) (+ (* 2 (* x (* y (- (* (pow x 2) (pow y 2)) (+ (* -1 (* (pow x 2) (pow y 2))) (* 2 (* x (* y (- (* -1 (* x y)) (* -2 (* x y))))))))))) (* (pow x 2) (* (pow y 2) (- (* -1 (* x y)) (* -2 (* x y))))))) z)) (* (pow x 2) (pow y 2))) (+ (* -1 (* (pow x 2) (pow y 2))) (* 2 (* x (* y (- (* -1 (* x y)) (* -2 (* x y)))))))) z))) (* -2 (* x y))) z)) 1)))>
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#<alt (pow z 3)>
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#<alt (* (pow x 3) (pow y 3))>
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#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (* (pow y 2) z)) (* -1 (/ (- (* -1 (/ (pow z 3) x)) (* -1 (* y (pow z 2)))) x))) x)) (* -1 (pow y 3)))))>
#<alt (* (pow x 3) (pow y 3))>
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#<alt (pow z 3)>
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#<alt (* (pow z 3) (- (+ 1 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (/ (* x y) z)))>
#<alt (pow z 3)>
#<alt (* -1 (* (pow z 3) (- (/ (* x y) z) 1)))>
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y)) z)) 1)))>
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow x 3) (pow y 3)) z)) (* (pow x 2) (pow y 2))) z)) (* x y)) z)) 1)))>
#<alt (* -1 (* (pow x 2) (* (pow y 2) z)))>
#<alt (* (pow y 2) (+ (* -1 (* (pow x 2) z)) (* (pow x 3) y)))>
#<alt (* (pow y 2) (+ (* -1 (* (pow x 2) z)) (* (pow x 3) y)))>
#<alt (* (pow y 2) (+ (* -1 (* (pow x 2) z)) (* (pow x 3) y)))>
#<alt (* (pow x 3) (pow y 3))>
#<alt (* (pow y 3) (+ (* -1 (/ (* (pow x 2) z) y)) (pow x 3)))>
#<alt (* (pow y 3) (+ (* -1 (/ (* (pow x 2) z) y)) (pow x 3)))>
#<alt (* (pow y 3) (+ (* -1 (/ (* (pow x 2) z) y)) (pow x 3)))>
#<alt (* (pow x 3) (pow y 3))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (pow x 3)) (/ (* (pow x 2) z) y))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (pow x 3)) (/ (* (pow x 2) z) y))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (pow x 3)) (/ (* (pow x 2) z) y))))>
#<alt (* -1 (* (pow x 2) (* (pow y 2) z)))>
#<alt (* (pow x 2) (+ (* -1 (* (pow y 2) z)) (* x (pow y 3))))>
#<alt (* (pow x 2) (+ (* -1 (* (pow y 2) z)) (* x (pow y 3))))>
#<alt (* (pow x 2) (+ (* -1 (* (pow y 2) z)) (* x (pow y 3))))>
#<alt (* (pow x 3) (pow y 3))>
#<alt (* (pow x 3) (+ (* -1 (/ (* (pow y 2) z) x)) (pow y 3)))>
#<alt (* (pow x 3) (+ (* -1 (/ (* (pow y 2) z) x)) (pow y 3)))>
#<alt (* (pow x 3) (+ (* -1 (/ (* (pow y 2) z) x)) (pow y 3)))>
#<alt (* (pow x 3) (pow y 3))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (pow y 3)) (/ (* (pow y 2) z) x))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (pow y 3)) (/ (* (pow y 2) z) x))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (pow y 3)) (/ (* (pow y 2) z) x))))>
#<alt (* (pow x 3) (pow y 3))>
#<alt (+ (* -1 (* (pow x 2) (* (pow y 2) z))) (* (pow x 3) (pow y 3)))>
#<alt (+ (* -1 (* (pow x 2) (* (pow y 2) z))) (* (pow x 3) (pow y 3)))>
#<alt (+ (* -1 (* (pow x 2) (* (pow y 2) z))) (* (pow x 3) (pow y 3)))>
#<alt (* -1 (* (pow x 2) (* (pow y 2) z)))>
#<alt (* z (+ (* -1 (* (pow x 2) (pow y 2))) (/ (* (pow x 3) (pow y 3)) z)))>
#<alt (* z (+ (* -1 (* (pow x 2) (pow y 2))) (/ (* (pow x 3) (pow y 3)) z)))>
#<alt (* z (+ (* -1 (* (pow x 2) (pow y 2))) (/ (* (pow x 3) (pow y 3)) z)))>
#<alt (* -1 (* (pow x 2) (* (pow y 2) z)))>
#<alt (* -1 (* z (+ (* -1 (/ (* (pow x 3) (pow y 3)) z)) (* (pow x 2) (pow y 2)))))>
#<alt (* -1 (* z (+ (* -1 (/ (* (pow x 3) (pow y 3)) z)) (* (pow x 2) (pow y 2)))))>
#<alt (* -1 (* z (+ (* -1 (/ (* (pow x 3) (pow y 3)) z)) (* (pow x 2) (pow y 2)))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* x y)>
#<alt (* y (+ x (* (pow y 2) (- (* -1/3 x) (* -1/6 x)))))>
#<alt (* y (+ x (* (pow y 2) (- (+ (* -1/3 x) (* (pow y 2) (- (* 2/45 x) (+ (* -1/6 (- (* -1/3 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))))>
#<alt (* y (+ x (* (pow y 2) (- (+ (* -1/3 x) (* (pow y 2) (- (+ (* 2/45 x) (* (pow y 2) (- (* -1/315 x) (+ (* -1/6 (- (* 2/45 x) (+ (* -1/6 (- (* -1/3 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/3 x) (* -1/6 x)))))))) (+ (* -1/6 (- (* -1/3 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt 1>
#<alt (+ 1 (* -2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -1 (pow z 3))>
#<alt (+ (* -1 (pow z 3)) (* x (* y (pow z 2))))>
#<alt (+ (* -1 (pow z 3)) (* x (* y (pow z 2))))>
#<alt (+ (* -1 (pow z 3)) (* x (* y (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* y (+ (* -1 (/ (pow z 3) y)) (* x (pow z 2))))>
#<alt (* y (+ (* -1 (/ (pow z 3) y)) (* x (pow z 2))))>
#<alt (* y (+ (* -1 (/ (pow z 3) y)) (* x (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* -1 (* y (+ (* -1 (* x (pow z 2))) (/ (pow z 3) y))))>
#<alt (* -1 (* y (+ (* -1 (* x (pow z 2))) (/ (pow z 3) y))))>
#<alt (* -1 (* y (+ (* -1 (* x (pow z 2))) (/ (pow z 3) y))))>
#<alt (* -1 (pow z 3))>
#<alt (+ (* -1 (pow z 3)) (* x (* y (pow z 2))))>
#<alt (+ (* -1 (pow z 3)) (* x (* y (pow z 2))))>
#<alt (+ (* -1 (pow z 3)) (* x (* y (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (+ (* -1 (/ (pow z 3) x)) (* y (pow z 2))))>
#<alt (* x (+ (* -1 (/ (pow z 3) x)) (* y (pow z 2))))>
#<alt (* x (+ (* -1 (/ (pow z 3) x)) (* y (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* -1 (* x (+ (* -1 (* y (pow z 2))) (/ (pow z 3) x))))>
#<alt (* -1 (* x (+ (* -1 (* y (pow z 2))) (/ (pow z 3) x))))>
#<alt (* -1 (* x (+ (* -1 (* y (pow z 2))) (/ (pow z 3) x))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* -1 z) (* x y)))>
#<alt (* (pow z 2) (+ (* -1 z) (* x y)))>
#<alt (* (pow z 2) (+ (* -1 z) (* x y)))>
#<alt (* -1 (pow z 3))>
#<alt (* (pow z 3) (- (/ (* x y) z) 1))>
#<alt (* (pow z 3) (- (/ (* x y) z) 1))>
#<alt (* (pow z 3) (- (/ (* x y) z) 1))>
#<alt (* -1 (pow z 3))>
#<alt (* -1 (* (pow z 3) (+ 1 (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* (pow z 3) (+ 1 (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* (pow z 3) (+ 1 (* -1 (/ (* x y) z)))))>
#<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 (/ (+ x (* 1/6 (* x (pow y 2)))) y)>
#<alt (/ (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) y)>
#<alt (/ (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 x) (+ (* 1/720 x) (* 1/6 (+ (* -1/36 x) (* 1/120 x))))))) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) 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))>
Calls

123 calls:

TimeVariablePointExpression
6.0ms
y
@0
(/ (- (* (* y (* x (* y x))) (- (* y x) z)) (* (- (* y x) z) (* z z))) (* (- (* y x) z) (- (* y x) z)))
5.0ms
y
@-inf
(* (+ (* -1/2 (cos (* y -2))) 1/2) (/ x (sin y)))
2.0ms
z
@-inf
(+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z)
2.0ms
x
@inf
(/ (- (* (* y (* x (* y x))) (- (* y x) z)) (* (- (* y x) z) (* z z))) (* (- (* y x) z) (- (* y x) z)))
2.0ms
x
@0
(* (+ (* -1/2 (cos (* y -2))) 1/2) (/ x (sin y)))

rewrite395.0ms (3.4%)

Memory
20.4MiB live, 691.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 570×lower-fma.f32
5 560×lower-fma.f64
4 520×lower-*.f32
4 496×lower-*.f64
4 444×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031174
060170
1214150
21683144
08135143
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 657
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(cos.f64 y)
(*.f64 x y)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x)
(fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64)))
(*.f64 (*.f64 y x) #s(literal -1/6 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z)))
(*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z))
(*.f64 y (*.f64 x (*.f64 y x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 y)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
(*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z))
(/.f64 x (sin.f64 y))
Outputs
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(+.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 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (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 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))
(-.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 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (/.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 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))
(-.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 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.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 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(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 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (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 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #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 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #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 (*.f64 (sin.f64 y) x) z) (cos.f64 y))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
(/.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 (*.f64 (sin.f64 y) x) z) (cos.f64 y))))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (-.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 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 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))))
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(*.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64))))))
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(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) y)
(+.f64 (*.f64 (*.f64 z z) (*.f64 y x)) (neg.f64 (*.f64 z (*.f64 z z))))
(+.f64 (*.f64 (*.f64 y x) (*.f64 z z)) (neg.f64 (*.f64 z (*.f64 z z))))
(fma.f64 (*.f64 y x) (*.f64 z z) (neg.f64 (*.f64 z (*.f64 z z))))
(fma.f64 (*.f64 z z) (*.f64 y x) (neg.f64 (*.f64 z (*.f64 z z))))
(/.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z (fma.f64 y x z))) (*.f64 (*.f64 z z) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (neg.f64 (*.f64 z (*.f64 z z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x z) (*.f64 (*.f64 z z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
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(*.f64 z (*.f64 z (-.f64 (*.f64 y x) z)))
(*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z))
(*.f64 (*.f64 z z) (-.f64 (*.f64 y x) z))
(*.f64 (*.f64 z (-.f64 (*.f64 y x) z)) z)
(*.f64 (*.f64 (*.f64 z z) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (neg.f64 (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z (fma.f64 y x z)))))
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(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 (sin.f64 y))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (sin.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) (/.f64 x (neg.f64 (sin.f64 y))))
(neg.f64 (/.f64 x (neg.f64 (sin.f64 y))))
(neg.f64 (/.f64 (neg.f64 x) (sin.f64 y)))
(/.f64 x (sin.f64 y))
(/.f64 x (*.f64 (sin.f64 y) #s(literal 1 binary64)))
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(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))))
(*.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 (sin.f64 y))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sin.f64 y) x))))
(*.f64 (neg.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))

simplify479.0ms (4.1%)

Memory
-28.2MiB live, 875.3MiB allocated
Algorithm
1×egg-herbie
Rules
12 772×lower-fma.f64
12 772×lower-fma.f32
7 454×lower-*.f64
7 454×lower-*.f32
4 626×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07886096
126935666
089105351
Stop Event
1×iter limit
1×node limit
Counts
492 → 483
Calls
Call 1
Inputs
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
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z
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z
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(* (pow x 3) (pow y 3))
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(* (pow x 3) (+ (* -1 (/ (* (pow y 2) z) x)) (pow y 3)))
(* (pow x 3) (pow y 3))
(* -1 (* (pow x 3) (+ (* -1 (pow y 3)) (/ (* (pow y 2) z) x))))
(* -1 (* (pow x 3) (+ (* -1 (pow y 3)) (/ (* (pow y 2) z) x))))
(* -1 (* (pow x 3) (+ (* -1 (pow y 3)) (/ (* (pow y 2) z) x))))
(* (pow x 3) (pow y 3))
(+ (* -1 (* (pow x 2) (* (pow y 2) z))) (* (pow x 3) (pow y 3)))
(+ (* -1 (* (pow x 2) (* (pow y 2) z))) (* (pow x 3) (pow y 3)))
(+ (* -1 (* (pow x 2) (* (pow y 2) z))) (* (pow x 3) (pow y 3)))
(* -1 (* (pow x 2) (* (pow y 2) z)))
(* z (+ (* -1 (* (pow x 2) (pow y 2))) (/ (* (pow x 3) (pow y 3)) z)))
(* z (+ (* -1 (* (pow x 2) (pow y 2))) (/ (* (pow x 3) (pow y 3)) z)))
(* z (+ (* -1 (* (pow x 2) (pow y 2))) (/ (* (pow x 3) (pow y 3)) z)))
(* -1 (* (pow x 2) (* (pow y 2) z)))
(* -1 (* z (+ (* -1 (/ (* (pow x 3) (pow y 3)) z)) (* (pow x 2) (pow y 2)))))
(* -1 (* z (+ (* -1 (/ (* (pow x 3) (pow y 3)) z)) (* (pow x 2) (pow y 2)))))
(* -1 (* z (+ (* -1 (/ (* (pow x 3) (pow y 3)) z)) (* (pow x 2) (pow y 2)))))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* x y)
(* y (+ x (* (pow y 2) (- (* -1/3 x) (* -1/6 x)))))
(* y (+ x (* (pow y 2) (- (+ (* -1/3 x) (* (pow y 2) (- (* 2/45 x) (+ (* -1/6 (- (* -1/3 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))))
(* y (+ x (* (pow y 2) (- (+ (* -1/3 x) (* (pow y 2) (- (+ (* 2/45 x) (* (pow y 2) (- (* -1/315 x) (+ (* -1/6 (- (* 2/45 x) (+ (* -1/6 (- (* -1/3 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/3 x) (* -1/6 x)))))))) (+ (* -1/6 (- (* -1/3 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
1
(+ 1 (* -2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -1 (pow z 3))
(+ (* -1 (pow z 3)) (* x (* y (pow z 2))))
(+ (* -1 (pow z 3)) (* x (* y (pow z 2))))
(+ (* -1 (pow z 3)) (* x (* y (pow z 2))))
(* x (* y (pow z 2)))
(* y (+ (* -1 (/ (pow z 3) y)) (* x (pow z 2))))
(* y (+ (* -1 (/ (pow z 3) y)) (* x (pow z 2))))
(* y (+ (* -1 (/ (pow z 3) y)) (* x (pow z 2))))
(* x (* y (pow z 2)))
(* -1 (* y (+ (* -1 (* x (pow z 2))) (/ (pow z 3) y))))
(* -1 (* y (+ (* -1 (* x (pow z 2))) (/ (pow z 3) y))))
(* -1 (* y (+ (* -1 (* x (pow z 2))) (/ (pow z 3) y))))
(* -1 (pow z 3))
(+ (* -1 (pow z 3)) (* x (* y (pow z 2))))
(+ (* -1 (pow z 3)) (* x (* y (pow z 2))))
(+ (* -1 (pow z 3)) (* x (* y (pow z 2))))
(* x (* y (pow z 2)))
(* x (+ (* -1 (/ (pow z 3) x)) (* y (pow z 2))))
(* x (+ (* -1 (/ (pow z 3) x)) (* y (pow z 2))))
(* x (+ (* -1 (/ (pow z 3) x)) (* y (pow z 2))))
(* x (* y (pow z 2)))
(* -1 (* x (+ (* -1 (* y (pow z 2))) (/ (pow z 3) x))))
(* -1 (* x (+ (* -1 (* y (pow z 2))) (/ (pow z 3) x))))
(* -1 (* x (+ (* -1 (* y (pow z 2))) (/ (pow z 3) x))))
(* x (* y (pow z 2)))
(* (pow z 2) (+ (* -1 z) (* x y)))
(* (pow z 2) (+ (* -1 z) (* x y)))
(* (pow z 2) (+ (* -1 z) (* x y)))
(* -1 (pow z 3))
(* (pow z 3) (- (/ (* x y) z) 1))
(* (pow z 3) (- (/ (* x y) z) 1))
(* (pow z 3) (- (/ (* x y) z) 1))
(* -1 (pow z 3))
(* -1 (* (pow z 3) (+ 1 (* -1 (/ (* x y) z)))))
(* -1 (* (pow z 3) (+ 1 (* -1 (/ (* x y) z)))))
(* -1 (* (pow z 3) (+ 1 (* -1 (/ (* x y) z)))))
(/ 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)
(/ (+ x (* 1/6 (* x (pow y 2)))) y)
(/ (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) y)
(/ (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 x) (+ (* 1/720 x) (* 1/6 (+ (* -1/36 x) (* 1/120 x))))))) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) 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))
Outputs
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 z (*.f64 y #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 z #s(literal -1/2 binary64) (*.f64 y (*.f64 x #s(literal -1/6 binary64)))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(neg.f64 (*.f64 x (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(neg.f64 (*.f64 x (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(neg.f64 (*.f64 x (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(neg.f64 (*.f64 (neg.f64 z) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(neg.f64 (*.f64 (neg.f64 z) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(neg.f64 (*.f64 (neg.f64 z) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)
(* 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 y (*.f64 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)
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 y (*.f64 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) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 z #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))
(* 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))
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 (*.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)
(* 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 z (*.f64 y #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 z #s(literal -1/2 binary64) (*.f64 y (*.f64 x #s(literal -1/6 binary64)))) x) z)
(* -1/6 (* x (pow y 3)))
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y (*.f64 y y))))
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/6 binary64) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) (/.f64 x (*.f64 y y)))))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3))))))
(*.f64 (*.f64 y (*.f64 y y)) (+.f64 (fma.f64 x #s(literal -1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) (/.f64 x (*.f64 y y)))) (/.f64 z (*.f64 y (*.f64 y y)))))
(* -1/6 (* x (pow y 3)))
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y (*.f64 y y))))
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))
(*.f64 (*.f64 y (*.f64 y y)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 z y) (*.f64 x #s(literal 1/6 binary64)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))
(neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y)) y))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 (-.f64 (neg.f64 x) (/.f64 z y)) (neg.f64 y))) y)) (neg.f64 (*.f64 y (*.f64 y y))))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (fma.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y) z))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (fma.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y) z))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (fma.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y) z))
(* z (+ 1 (* -1/2 (pow y 2))))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)) z)) z)
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
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(* x (* y (pow z 2)))
(*.f64 y (*.f64 x (*.f64 z z)))
(* y (+ (* -1 (/ (pow z 3) y)) (* x (pow z 2))))
(*.f64 y (fma.f64 z (*.f64 z x) (/.f64 (*.f64 z (*.f64 (neg.f64 z) z)) y)))
(* y (+ (* -1 (/ (pow z 3) y)) (* x (pow z 2))))
(*.f64 y (fma.f64 z (*.f64 z x) (/.f64 (*.f64 z (*.f64 (neg.f64 z) z)) y)))
(* y (+ (* -1 (/ (pow z 3) y)) (* x (pow z 2))))
(*.f64 y (fma.f64 z (*.f64 z x) (/.f64 (*.f64 z (*.f64 (neg.f64 z) z)) y)))
(* x (* y (pow z 2)))
(*.f64 y (*.f64 x (*.f64 z z)))
(* -1 (* y (+ (* -1 (* x (pow z 2))) (/ (pow z 3) y))))
(*.f64 y (fma.f64 z (*.f64 z x) (/.f64 (*.f64 z (*.f64 (neg.f64 z) z)) y)))
(* -1 (* y (+ (* -1 (* x (pow z 2))) (/ (pow z 3) y))))
(*.f64 y (fma.f64 z (*.f64 z x) (/.f64 (*.f64 z (*.f64 (neg.f64 z) z)) y)))
(* -1 (* y (+ (* -1 (* x (pow z 2))) (/ (pow z 3) y))))
(*.f64 y (fma.f64 z (*.f64 z x) (/.f64 (*.f64 z (*.f64 (neg.f64 z) z)) y)))
(* -1 (pow z 3))
(*.f64 z (*.f64 (neg.f64 z) z))
(+ (* -1 (pow z 3)) (* x (* y (pow z 2))))
(*.f64 z (*.f64 z (-.f64 (*.f64 x y) z)))
(+ (* -1 (pow z 3)) (* x (* y (pow z 2))))
(*.f64 z (*.f64 z (-.f64 (*.f64 x y) z)))
(+ (* -1 (pow z 3)) (* x (* y (pow z 2))))
(*.f64 z (*.f64 z (-.f64 (*.f64 x y) z)))
(* x (* y (pow z 2)))
(*.f64 y (*.f64 x (*.f64 z z)))
(* x (+ (* -1 (/ (pow z 3) x)) (* y (pow z 2))))
(*.f64 x (fma.f64 y (*.f64 z z) (/.f64 (*.f64 z (*.f64 (neg.f64 z) z)) x)))
(* x (+ (* -1 (/ (pow z 3) x)) (* y (pow z 2))))
(*.f64 x (fma.f64 y (*.f64 z z) (/.f64 (*.f64 z (*.f64 (neg.f64 z) z)) x)))
(* x (+ (* -1 (/ (pow z 3) x)) (* y (pow z 2))))
(*.f64 x (fma.f64 y (*.f64 z z) (/.f64 (*.f64 z (*.f64 (neg.f64 z) z)) x)))
(* x (* y (pow z 2)))
(*.f64 y (*.f64 x (*.f64 z z)))
(* -1 (* x (+ (* -1 (* y (pow z 2))) (/ (pow z 3) x))))
(*.f64 x (fma.f64 y (*.f64 z z) (/.f64 (*.f64 z (*.f64 (neg.f64 z) z)) x)))
(* -1 (* x (+ (* -1 (* y (pow z 2))) (/ (pow z 3) x))))
(*.f64 x (fma.f64 y (*.f64 z z) (/.f64 (*.f64 z (*.f64 (neg.f64 z) z)) x)))
(* -1 (* x (+ (* -1 (* y (pow z 2))) (/ (pow z 3) x))))
(*.f64 x (fma.f64 y (*.f64 z z) (/.f64 (*.f64 z (*.f64 (neg.f64 z) z)) x)))
(* x (* y (pow z 2)))
(*.f64 y (*.f64 x (*.f64 z z)))
(* (pow z 2) (+ (* -1 z) (* x y)))
(*.f64 z (*.f64 z (-.f64 (*.f64 x y) z)))
(* (pow z 2) (+ (* -1 z) (* x y)))
(*.f64 z (*.f64 z (-.f64 (*.f64 x y) z)))
(* (pow z 2) (+ (* -1 z) (* x y)))
(*.f64 z (*.f64 z (-.f64 (*.f64 x y) z)))
(* -1 (pow z 3))
(*.f64 z (*.f64 (neg.f64 z) z))
(* (pow z 3) (- (/ (* x y) z) 1))
(*.f64 (*.f64 z z) (*.f64 z (fma.f64 x (/.f64 y z) #s(literal -1 binary64))))
(* (pow z 3) (- (/ (* x y) z) 1))
(*.f64 (*.f64 z z) (*.f64 z (fma.f64 x (/.f64 y z) #s(literal -1 binary64))))
(* (pow z 3) (- (/ (* x y) z) 1))
(*.f64 (*.f64 z z) (*.f64 z (fma.f64 x (/.f64 y z) #s(literal -1 binary64))))
(* -1 (pow z 3))
(*.f64 z (*.f64 (neg.f64 z) z))
(* -1 (* (pow z 3) (+ 1 (* -1 (/ (* x y) z)))))
(*.f64 (*.f64 z (*.f64 z z)) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z))))
(* -1 (* (pow z 3) (+ 1 (* -1 (/ (* x y) z)))))
(*.f64 (*.f64 z (*.f64 z z)) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z))))
(* -1 (* (pow z 3) (+ 1 (* -1 (/ (* x y) z)))))
(*.f64 (*.f64 z (*.f64 z z)) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z))))
(/ 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)
(/ (+ x (* 1/6 (* x (pow y 2)))) y)
(/.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal 1/6 binary64))) x) y)
(/ (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) y)
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x #s(literal 7/360 binary64)) (*.f64 x #s(literal 1/6 binary64))) x) y)
(/ (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 x) (+ (* 1/720 x) (* 1/6 (+ (* -1/36 x) (* 1/120 x))))))) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) y)
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (neg.f64 (fma.f64 x #s(literal 1/840 binary64) (*.f64 x #s(literal -7/2160 binary64)))) (*.f64 x #s(literal 7/360 binary64))) (*.f64 x #s(literal 1/6 binary64))) x) 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))

eval265.0ms (2.3%)

Memory
19.9MiB live, 331.4MiB allocated
Compiler

Compiled 44 219 to 2 709 computations (93.9% saved)

prune182.0ms (1.6%)

Memory
-22.7MiB live, 504.9MiB allocated
Pruning

59 alts after pruning (53 fresh and 6 done)

PrunedKeptTotal
New1 123291 152
Fresh72431
Picked235
Done033
Total1 132591 191
Accuracy
100.0%
Counts
1 191 → 59
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.2%
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))
33.4%
(fma.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)) (*.f64 z (*.f64 y y)) z)
46.3%
(fma.f64 (*.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))) y (fma.f64 y x z))
33.3%
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)
✓99.8%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
✓99.8%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
46.2%
(fma.f64 z (/.f64 (*.f64 x y) z) z)
55.6%
(fma.f64 z (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 y))))
33.6%
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
✓46.7%
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
47.2%
(fma.f64 y (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x) z)
32.8%
(fma.f64 y (fma.f64 y (neg.f64 (fma.f64 x (/.f64 x z) (fma.f64 #s(literal -2 binary64) (*.f64 x (/.f64 x z)) (*.f64 x (/.f64 x z))))) x) z)
41.5%
(fma.f64 y (*.f64 z (fma.f64 y #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x (*.f64 y y)) z) (/.f64 x z)))) z)
33.6%
(fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) z)
34.0%
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) z)
✓47.9%
(fma.f64 y x z)
▶74.8%
(fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y)))
4.6%
(/.f64 (fma.f64 z (*.f64 (*.f64 x (neg.f64 y)) z) (*.f64 y (*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y))))))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
13.9%
(/.f64 (fma.f64 y (neg.f64 (fma.f64 z (*.f64 x (*.f64 x y)) (*.f64 x (*.f64 z z)))) (*.f64 z (*.f64 z z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
14.9%
(/.f64 (fma.f64 x (*.f64 x (fma.f64 z (*.f64 (neg.f64 y) y) (*.f64 x (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 z z) (-.f64 z (*.f64 x y)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
19.0%
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (/.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
19.0%
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 z (*.f64 (neg.f64 z) z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
7.2%
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 y (*.f64 x (*.f64 z z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
28.3%
(/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x)))
13.3%
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 (neg.f64 y) y)) z)) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
30.0%
(/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z))
12.8%
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 z z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
13.5%
(/.f64 (*.f64 (*.f64 z z) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
4.9%
(/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
13.9%
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
▶4.6%
(/.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y)))))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
29.3%
(/.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 y))
13.7%
(/.f64 (neg.f64 (*.f64 z (*.f64 z (-.f64 (*.f64 x y) z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
▶99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
46.4%
(+.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64))) (*.f64 x #s(literal -1/6 binary64))) x)) (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)) z))
47.9%
(+.f64 (*.f64 y x) z)
46.4%
(+.f64 (*.f64 x (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)) (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)) z))
46.0%
(+.f64 (*.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)) (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)) z))
41.3%
(*.f64 (fma.f64 y (/.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (neg.f64 z)) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 z))
58.9%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
45.5%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z (*.f64 z #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (+.f64 y y)) (*.f64 z (*.f64 z #s(literal 1/2 binary64))))))
49.4%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
45.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.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 y y))))) (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
16.1%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
19.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z))) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
99.6%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))
29.3%
(*.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
46.0%
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))
▶33.4%
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
93.8%
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
✓59.1%
(*.f64 z (cos.f64 y))
▶35.8%
(*.f64 z #s(literal 1 binary64))
15.6%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 2/45 binary64)) (fma.f64 x #s(literal 1/120 binary64) (*.f64 x #s(literal 1/36 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))
88.0%
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
15.8%
(*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))
41.7%
(*.f64 x (sin.f64 y))
✓15.7%
(*.f64 x y)
3.1%
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y (*.f64 y y))))
42.8%
(neg.f64 (*.f64 z (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal -1 binary64))))
Compiler

Compiled 2 595 to 1 379 computations (46.9% saved)

simplify278.0ms (2.4%)

Memory
36.0MiB live, 462.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(*.f64 x (sin.f64 y))
✓cost-diff320
(fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y)))
✓cost-diff0
(*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y)))))
✓cost-diff0
(*.f64 y (*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y))))))
✓cost-diff640
(fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y))))
✓cost-diff1664
(/.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y)))))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
✓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 y)
✓cost-diff0
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓cost-diff0
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓cost-diff320
(*.f64 z #s(literal 1 binary64))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
Rules
7 098×lower-fma.f32
7 086×lower-fma.f64
4 064×lower-*.f32
4 038×lower-*.f64
1 422×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033241
065234
1140230
2406216
31177216
42455204
54858204
08469203
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(cos.f64 y)
y
z
(*.f64 (sin.f64 y) x)
(sin.f64 y)
x
(*.f64 z #s(literal 1 binary64))
z
#s(literal 1 binary64)
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
z
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 y y)
y
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(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 (*.f64 y (*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y)))))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 y (*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y))))))
y
(*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y)))))
(fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y))))
z
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(*.f64 x (*.f64 x (*.f64 x y)))
(*.f64 x (*.f64 x y))
(*.f64 x y)
(*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z))
(-.f64 (*.f64 y x) z)
(*.f64 y x)
(fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y)))
#s(literal 1 binary64)
z
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(cos.f64 y)
y
z
(*.f64 (sin.f64 y) x)
(sin.f64 y)
x
(*.f64 z #s(literal 1 binary64))
z
z
#s(literal 1 binary64)
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.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)) (*.f64 y (*.f64 y z)) z)
z
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 y y)
y
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(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 (*.f64 y (*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y)))))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (*.f64 y x) z))
(*.f64 y (*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y))))))
(*.f64 y (*.f64 y (*.f64 (-.f64 (*.f64 y x) z) (*.f64 x x))))
y
(*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y)))))
(*.f64 y (*.f64 (-.f64 (*.f64 y x) z) (*.f64 x x)))
(fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y))))
(*.f64 (-.f64 (*.f64 y x) z) (*.f64 x x))
z
(*.f64 (neg.f64 x) x)
(neg.f64 (*.f64 x x))
(neg.f64 x)
x
(*.f64 x (*.f64 x (*.f64 x y)))
(*.f64 y (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x y))
(*.f64 y (*.f64 x x))
(*.f64 x y)
(*.f64 y x)
(*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z))
(-.f64 (*.f64 y x) z)
(*.f64 y x)
(fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x z)
#s(literal 1 binary64)
z
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
x
(sin.f64 y)
y

localize154.0ms (1.3%)

Memory
0.4MiB live, 390.1MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 y)
✓accuracy100.0%
(fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y)))
✓accuracy99.8%
(*.f64 x (sin.f64 y))
✓accuracy94.7%
(*.f64 y (*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y))))))
✓accuracy93.9%
(*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y)))))
✓accuracy82.3%
(fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y))))
✓accuracy49.9%
(/.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y)))))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
✓accuracy100.0%
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓accuracy99.9%
(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))
✓accuracy99.8%
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
✓accuracy95.9%
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓accuracy100.0%
(*.f64 z #s(literal 1 binary64))
✓accuracy99.9%
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
✓accuracy99.8%
(*.f64 (sin.f64 y) x)
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
Samples
102.0ms256×0valid
Compiler

Compiled 243 to 41 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-mult: 44.0ms (55.3% of total)
ival-add: 7.0ms (8.8% of total)
ival-cos: 7.0ms (8.8% of total)
ival-div: 6.0ms (7.5% of total)
ival-sin: 6.0ms (7.5% of total)
const: 6.0ms (7.5% of total)
ival-sub: 1.0ms (1.3% of total)
ival-neg: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series31.0ms (0.3%)

Memory
12.4MiB live, 92.4MiB allocated
Counts
18 → 444
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))>
#<alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))>
#<alt (cos.f64 y)>
#<alt (*.f64 z #s(literal 1 binary64))>
#<alt (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 y y)>
#<alt (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 (*.f64 y (*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y)))))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))>
#<alt (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y))))>
#<alt (*.f64 y (*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y))))))>
#<alt (*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y)))))>
#<alt (fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y)))>
#<alt (*.f64 x (sin.f64 y))>
#<alt (sin.f64 y)>
#<alt (*.f64 (sin.f64 y) x)>
#<alt (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))>
Outputs
#<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 (* 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 z)>
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))>
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (* x (sin y)))>
#<alt (+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))>
#<alt (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))>
#<alt (+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)>
#<alt (/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)>
#<alt (/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)>
#<alt (/ 1 (* z (cos y)))>
#<alt (* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))>
#<alt (/ 1 (* z (cos y)))>
#<alt (+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))>
#<alt (+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)>
#<alt (/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)>
#<alt (/ 1 (* x (sin y)))>
#<alt (* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin 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 (* 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 z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<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))))>
#<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))))>
#<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))))>
#<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))))>
#<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))))>
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#<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))>
#<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 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))>
Calls

111 calls:

TimeVariablePointExpression
2.0ms
z
@-inf
(* y (+ (* z (* (neg x) x)) (* x (* x (* x y)))))
2.0ms
y
@-inf
(+ (* (* y y) (+ (* (* y y) (+ (* (* y y) -1/720) 1/24)) -1/2)) 1)
1.0ms
y
@0
(/ (* y (* y (+ (* z (* (neg x) x)) (* x (* x (* x y)))))) (* (- (* y x) z) (- (* y x) z)))
1.0ms
z
@inf
(/ (* y (* y (+ (* z (* (neg x) x)) (* x (* x (* x y)))))) (* (- (* y x) z) (- (* y x) z)))
1.0ms
x
@0
(/ (* y (* y (+ (* z (* (neg x) x)) (* x (* x (* x y)))))) (* (- (* y x) z) (- (* y x) z)))

rewrite357.0ms (3.1%)

Memory
14.8MiB live, 732.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 666×lower-fma.f32
5 654×lower-fma.f64
4 340×lower-*.f32
4 314×lower-*.f64
4 068×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033180
065169
1261165
21835161
08407160
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 631
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(cos.f64 y)
(*.f64 z #s(literal 1 binary64))
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 y y)
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(/.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y)))))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y))))
(*.f64 y (*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y))))))
(*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y)))))
(fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y)))
(*.f64 x (sin.f64 y))
(sin.f64 y)
(*.f64 (sin.f64 y) x)
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
Outputs
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.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 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (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 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #s(literal -1 binary64)))
(-.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 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.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 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
(-.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 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) #s(literal 1 binary64)) (/.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 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) #s(literal 1 binary64)))
(-.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 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (/.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 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(fma.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64) (*.f64 (cos.f64 y) z))
(fma.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64) (*.f64 (sin.f64 y) x))
(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 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (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 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
(neg.f64 (neg.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))
(/.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 (*.f64 (cos.f64 y) z) x) (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) (-.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 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))
(/.f64 (neg.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #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 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #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 (*.f64 (cos.f64 y) z) 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 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #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 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #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 (*.f64 (cos.f64 y) z) x) (sin.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 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
(/.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 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))
(/.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 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.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 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #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 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))))
(/.f64 (neg.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 (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
(/.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 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))
(/.f64 (-.f64 (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 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) #s(literal 3 binary64)) (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 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) #s(literal 3 binary64))) (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 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.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 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (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 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.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 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (*.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 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.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 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))))
(pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))
(*.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #s(literal 1 binary64))
(*.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (/.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #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)))) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))))
(*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #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)))) (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 (*.f64 (cos.f64 y) z) 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 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 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64)) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64)) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64)) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64)) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64)))))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64)) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64)))))
(*.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))

simplify409.0ms (3.5%)

Memory
-25.9MiB live, 581.3MiB allocated
Algorithm
1×egg-herbie
Rules
8 964×lower-fma.f64
8 964×lower-fma.f32
7 388×lower-*.f64
7 388×lower-*.f32
3 254×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07016037
124635491
084265254
Stop Event
1×iter limit
1×node limit
Counts
444 → 424
Calls
Call 1
Inputs
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)))))
(* 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)))))
(/ 1 z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
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(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (* x (sin y)))
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(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(/ 1 (* z (cos y)))
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(/ 1 (* z (cos y)))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(/ 1 (* z (cos y)))
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))
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(/ 1 (* x (sin y)))
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)
(/ 1 (* x (sin y)))
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(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
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z
(+ z (* x y))
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(+ 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)))))
(* 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)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
z
z
z
z
z
z
z
z
z
z
z
z
(* 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))))
(* 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))))
(* 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))))
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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))))))
(* -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))))))
(* -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))))))
1
(+ 1 (* -1/2 (pow y 2)))
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(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* -1/720 (pow y 6))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* -1/720 (pow y 6))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4)))))
(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)
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-1/2
(- (* 1/24 (pow y 2)) 1/2)
(- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)
(- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)
(* -1/720 (pow y 4))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* -1/720 (pow y 4))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
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(* -1 (/ (* (pow x 2) (pow y 2)) z))
(* (pow y 2) (+ (* -1 (/ (pow x 2) z)) (* y (- (/ (pow x 3) (pow z 2)) (* 2 (/ (pow x 3) (pow z 2)))))))
(* (pow y 2) (+ (* -1 (/ (pow x 2) z)) (* y (- (+ (* -1 (* y (+ (* -2 (/ (* x (- (/ (pow x 3) (pow z 2)) (* 2 (/ (pow x 3) (pow z 2))))) z)) (* -1 (/ (pow x 4) (pow z 3)))))) (/ (pow x 3) (pow z 2))) (* 2 (/ (pow x 3) (pow z 2)))))))
(* (pow y 2) (+ (* -1 (/ (pow x 2) z)) (* y (- (+ (* y (- (* -1 (* y (+ (* 2 (/ (* x (+ (* -2 (/ (* x (- (/ (pow x 3) (pow z 2)) (* 2 (/ (pow x 3) (pow z 2))))) z)) (* -1 (/ (pow x 4) (pow z 3))))) z)) (/ (* (pow x 2) (- (/ (pow x 3) (pow z 2)) (* 2 (/ (pow x 3) (pow z 2))))) (pow z 2))))) (+ (* -2 (/ (* x (- (/ (pow x 3) (pow z 2)) (* 2 (/ (pow x 3) (pow z 2))))) z)) (* -1 (/ (pow x 4) (pow z 3)))))) (/ (pow x 3) (pow z 2))) (* 2 (/ (pow x 3) (pow z 2)))))))
(* x y)
(* y (- (+ x (* -1 (/ z y))) (* -2 (/ z y))))
(* y (- (+ x (+ (* -1 (/ z y)) (* -1 (/ (+ (* -2 (/ (* z (- (* -1 z) (* -2 z))) x)) (/ (pow z 2) x)) (pow y 2))))) (* -2 (/ z y))))
(* y (- (+ x (+ (* -1 (/ z y)) (* -1 (/ (+ (* 2 (/ (* z (+ (* -2 (/ (* z (- (* -1 z) (* -2 z))) x)) (/ (pow z 2) x))) x)) (/ (* (pow z 2) (- (* -1 z) (* -2 z))) (pow x 2))) (pow y 3))))) (+ (* -2 (/ z y)) (+ (* -2 (/ (* z (- (* -1 z) (* -2 z))) (* x (pow y 2)))) (/ (pow z 2) (* x (pow y 2)))))))
(* x y)
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(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 z) (+ (* -1 (/ (pow z 2) (* x y))) (* 2 (/ (* z (- (* -1 z) (* -2 z))) (* x y))))) (* -2 z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 z) (* -1 (/ (- (+ (* -2 (/ (* z (+ (* -1 (/ (pow z 2) x)) (* 2 (/ (* z (- (* -1 z) (* -2 z))) x)))) (* x y))) (/ (* (pow z 2) (- (* -1 z) (* -2 z))) (* (pow x 2) y))) (+ (* -1 (/ (pow z 2) x)) (* 2 (/ (* z (- (* -1 z) (* -2 z))) x)))) y))) (* -2 z)) y)))))
(* x y)
(+ z (* x y))
(+ (* x y) (* z (+ 1 (/ z (* x y)))))
(+ (* x y) (* z (+ 1 (* z (+ (/ 1 (* x y)) (/ z (* (pow x 2) (pow y 2))))))))
(* -1 (/ (* (pow x 2) (pow y 2)) z))
(/ (- (+ (* -1 (* (pow x 2) (pow y 2))) (/ (* (pow x 3) (pow y 3)) z)) (* 2 (/ (* (pow x 3) (pow y 3)) z))) z)
(/ (- (+ (* -1 (* (pow x 2) (pow y 2))) (+ (* -1 (/ (+ (* -2 (* x (* y (- (* (pow x 3) (pow y 3)) (* 2 (* (pow x 3) (pow y 3))))))) (* -1 (* (pow x 4) (pow y 4)))) (pow z 2))) (/ (* (pow x 3) (pow y 3)) z))) (* 2 (/ (* (pow x 3) (pow y 3)) z))) z)
(/ (- (+ (* -1 (* (pow x 2) (pow y 2))) (+ (* -1 (/ (+ (* 2 (* x (* y (+ (* -2 (* x (* y (- (* (pow x 3) (pow y 3)) (* 2 (* (pow x 3) (pow y 3))))))) (* -1 (* (pow x 4) (pow y 4))))))) (* (pow x 2) (* (pow y 2) (- (* (pow x 3) (pow y 3)) (* 2 (* (pow x 3) (pow y 3))))))) (pow z 3))) (/ (* (pow x 3) (pow y 3)) z))) (+ (* -2 (/ (* x (* y (- (* (pow x 3) (pow y 3)) (* 2 (* (pow x 3) (pow y 3)))))) (pow z 2))) (+ (* -1 (/ (* (pow x 4) (pow y 4)) (pow z 2))) (* 2 (/ (* (pow x 3) (pow y 3)) z))))) z)
(* -1 (/ (* (pow x 2) (pow y 2)) z))
(* -1 (/ (+ (* -1 (/ (- (* (pow x 3) (pow y 3)) (* 2 (* (pow x 3) (pow y 3)))) z)) (* (pow x 2) (pow y 2))) z))
(* -1 (/ (+ (* -1 (/ (- (+ (* 2 (/ (* x (* y (- (* (pow x 3) (pow y 3)) (* 2 (* (pow x 3) (pow y 3)))))) z)) (+ (* (pow x 3) (pow y 3)) (/ (* (pow x 4) (pow y 4)) z))) (* 2 (* (pow x 3) (pow y 3)))) z)) (* (pow x 2) (pow y 2))) z))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* x (* y (+ (* 2 (* x (* y (- (* (pow x 3) (pow y 3)) (* 2 (* (pow x 3) (pow y 3))))))) (* (pow x 4) (pow y 4))))) z)) (/ (* (pow x 2) (* (pow y 2) (- (* (pow x 3) (pow y 3)) (* 2 (* (pow x 3) (pow y 3)))))) z)) (+ (* 2 (* x (* y (- (* (pow x 3) (pow y 3)) (* 2 (* (pow x 3) (pow y 3))))))) (* (pow x 4) (pow y 4)))) z)) (* (pow x 3) (pow y 3))) (* 2 (* (pow x 3) (pow y 3)))) z)) (* (pow x 2) (pow y 2))) z))
(* -1 (/ (* (pow x 2) (pow y 2)) z))
(* (pow x 2) (+ (* -1 (/ (pow y 2) z)) (* x (- (/ (pow y 3) (pow z 2)) (* 2 (/ (pow y 3) (pow z 2)))))))
(* (pow x 2) (+ (* -1 (/ (pow y 2) z)) (* x (- (+ (* -1 (* x (+ (* -2 (/ (* y (- (/ (pow y 3) (pow z 2)) (* 2 (/ (pow y 3) (pow z 2))))) z)) (* -1 (/ (pow y 4) (pow z 3)))))) (/ (pow y 3) (pow z 2))) (* 2 (/ (pow y 3) (pow z 2)))))))
(* (pow x 2) (+ (* -1 (/ (pow y 2) z)) (* x (- (+ (* x (- (* -1 (* x (+ (* 2 (/ (* y (+ (* -2 (/ (* y (- (/ (pow y 3) (pow z 2)) (* 2 (/ (pow y 3) (pow z 2))))) z)) (* -1 (/ (pow y 4) (pow z 3))))) z)) (/ (* (pow y 2) (- (/ (pow y 3) (pow z 2)) (* 2 (/ (pow y 3) (pow z 2))))) (pow z 2))))) (+ (* -2 (/ (* y (- (/ (pow y 3) (pow z 2)) (* 2 (/ (pow y 3) (pow z 2))))) z)) (* -1 (/ (pow y 4) (pow z 3)))))) (/ (pow y 3) (pow z 2))) (* 2 (/ (pow y 3) (pow z 2)))))))
(* x y)
(* x (- (+ y (* -1 (/ z x))) (* -2 (/ z x))))
(* x (- (+ y (+ (* -1 (/ z x)) (* -1 (/ (+ (* -2 (/ (* z (- (* -1 z) (* -2 z))) y)) (/ (pow z 2) y)) (pow x 2))))) (* -2 (/ z x))))
(* x (- (+ y (+ (* -1 (/ z x)) (* -1 (/ (+ (* 2 (/ (* z (+ (* -2 (/ (* z (- (* -1 z) (* -2 z))) y)) (/ (pow z 2) y))) y)) (/ (* (pow z 2) (- (* -1 z) (* -2 z))) (pow y 2))) (pow x 3))))) (+ (* -2 (/ z x)) (+ (* -2 (/ (* z (- (* -1 z) (* -2 z))) (* (pow x 2) y))) (/ (pow z 2) (* (pow x 2) y))))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 z) (* -2 z)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 z) (+ (* -1 (/ (pow z 2) (* x y))) (* 2 (/ (* z (- (* -1 z) (* -2 z))) (* x y))))) (* -2 z)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 z) (* -1 (/ (- (+ (* -2 (/ (* z (+ (* -1 (/ (pow z 2) y)) (* 2 (/ (* z (- (* -1 z) (* -2 z))) y)))) (* x y))) (/ (* (pow z 2) (- (* -1 z) (* -2 z))) (* x (pow y 2)))) (+ (* -1 (/ (pow z 2) y)) (* 2 (/ (* z (- (* -1 z) (* -2 z))) y)))) x))) (* -2 z)) x)))))
(* (pow x 3) y)
(+ (* -1 (* (pow x 2) z)) (* (pow x 3) y))
(+ (* -1 (* (pow x 2) z)) (* (pow x 3) y))
(+ (* -1 (* (pow x 2) z)) (* (pow x 3) y))
(* -1 (* (pow x 2) z))
(* z (+ (* -1 (pow x 2)) (/ (* (pow x 3) y) z)))
(* z (+ (* -1 (pow x 2)) (/ (* (pow x 3) y) z)))
(* z (+ (* -1 (pow x 2)) (/ (* (pow x 3) y) z)))
(* -1 (* (pow x 2) z))
(* -1 (* z (+ (* -1 (/ (* (pow x 3) y) z)) (pow x 2))))
(* -1 (* z (+ (* -1 (/ (* (pow x 3) y) z)) (pow x 2))))
(* -1 (* z (+ (* -1 (/ (* (pow x 3) y) z)) (pow x 2))))
(* -1 (* (pow x 2) z))
(* (pow x 2) (+ (* -1 z) (* x y)))
(* (pow x 2) (+ (* -1 z) (* x y)))
(* (pow x 2) (+ (* -1 z) (* x y)))
(* (pow x 3) y)
(* (pow x 3) (+ y (* -1 (/ z x))))
(* (pow x 3) (+ y (* -1 (/ z x))))
(* (pow x 3) (+ y (* -1 (/ z x))))
(* (pow x 3) y)
(* -1 (* (pow x 3) (+ (* -1 y) (/ z x))))
(* -1 (* (pow x 3) (+ (* -1 y) (/ z x))))
(* -1 (* (pow x 3) (+ (* -1 y) (/ z x))))
(* -1 (* (pow x 2) z))
(+ (* -1 (* (pow x 2) z)) (* (pow x 3) y))
(+ (* -1 (* (pow x 2) z)) (* (pow x 3) y))
(+ (* -1 (* (pow x 2) z)) (* (pow x 3) y))
(* (pow x 3) y)
(* y (+ (* -1 (/ (* (pow x 2) z) y)) (pow x 3)))
(* y (+ (* -1 (/ (* (pow x 2) z) y)) (pow x 3)))
(* y (+ (* -1 (/ (* (pow x 2) z) y)) (pow x 3)))
(* (pow x 3) y)
(* -1 (* y (+ (* -1 (pow x 3)) (/ (* (pow x 2) z) y))))
(* -1 (* y (+ (* -1 (pow x 3)) (/ (* (pow x 2) z) y))))
(* -1 (* y (+ (* -1 (pow x 3)) (/ (* (pow x 2) z) y))))
(* -1 (* (pow x 2) (* (pow y 2) z)))
(* (pow y 2) (+ (* -1 (* (pow x 2) z)) (* (pow x 3) y)))
(* (pow y 2) (+ (* -1 (* (pow x 2) z)) (* (pow x 3) y)))
(* (pow y 2) (+ (* -1 (* (pow x 2) z)) (* (pow x 3) y)))
(* (pow x 3) (pow y 3))
(* (pow y 3) (+ (* -1 (/ (* (pow x 2) z) y)) (pow x 3)))
(* (pow y 3) (+ (* -1 (/ (* (pow x 2) z) y)) (pow x 3)))
(* (pow y 3) (+ (* -1 (/ (* (pow x 2) z) y)) (pow x 3)))
(* (pow x 3) (pow y 3))
(* -1 (* (pow y 3) (+ (* -1 (pow x 3)) (/ (* (pow x 2) z) y))))
(* -1 (* (pow y 3) (+ (* -1 (pow x 3)) (/ (* (pow x 2) z) y))))
(* -1 (* (pow y 3) (+ (* -1 (pow x 3)) (/ (* (pow x 2) z) y))))
(* (pow x 3) (pow y 3))
(+ (* -1 (* (pow x 2) (* (pow y 2) z))) (* (pow x 3) (pow y 3)))
(+ (* -1 (* (pow x 2) (* (pow y 2) z))) (* (pow x 3) (pow y 3)))
(+ (* -1 (* (pow x 2) (* (pow y 2) z))) (* (pow x 3) (pow y 3)))
(* -1 (* (pow x 2) (* (pow y 2) z)))
(* z (+ (* -1 (* (pow x 2) (pow y 2))) (/ (* (pow x 3) (pow y 3)) z)))
(* z (+ (* -1 (* (pow x 2) (pow y 2))) (/ (* (pow x 3) (pow y 3)) z)))
(* z (+ (* -1 (* (pow x 2) (pow y 2))) (/ (* (pow x 3) (pow y 3)) z)))
(* -1 (* (pow x 2) (* (pow y 2) z)))
(* -1 (* z (+ (* -1 (/ (* (pow x 3) (pow y 3)) z)) (* (pow x 2) (pow y 2)))))
(* -1 (* z (+ (* -1 (/ (* (pow x 3) (pow y 3)) z)) (* (pow x 2) (pow y 2)))))
(* -1 (* z (+ (* -1 (/ (* (pow x 3) (pow y 3)) z)) (* (pow x 2) (pow y 2)))))
(* -1 (* (pow x 2) (* (pow y 2) z)))
(* (pow x 2) (+ (* -1 (* (pow y 2) z)) (* x (pow y 3))))
(* (pow x 2) (+ (* -1 (* (pow y 2) z)) (* x (pow y 3))))
(* (pow x 2) (+ (* -1 (* (pow y 2) z)) (* x (pow y 3))))
(* (pow x 3) (pow y 3))
(* (pow x 3) (+ (* -1 (/ (* (pow y 2) z) x)) (pow y 3)))
(* (pow x 3) (+ (* -1 (/ (* (pow y 2) z) x)) (pow y 3)))
(* (pow x 3) (+ (* -1 (/ (* (pow y 2) z) x)) (pow y 3)))
(* (pow x 3) (pow y 3))
(* -1 (* (pow x 3) (+ (* -1 (pow y 3)) (/ (* (pow y 2) z) x))))
(* -1 (* (pow x 3) (+ (* -1 (pow y 3)) (/ (* (pow y 2) z) x))))
(* -1 (* (pow x 3) (+ (* -1 (pow y 3)) (/ (* (pow y 2) z) x))))
(* -1 (* (pow x 2) (* y z)))
(* y (+ (* -1 (* (pow x 2) z)) (* (pow x 3) y)))
(* y (+ (* -1 (* (pow x 2) z)) (* (pow x 3) y)))
(* y (+ (* -1 (* (pow x 2) z)) (* (pow x 3) y)))
(* (pow x 3) (pow y 2))
(* (pow y 2) (+ (* -1 (/ (* (pow x 2) z) y)) (pow x 3)))
(* (pow y 2) (+ (* -1 (/ (* (pow x 2) z) y)) (pow x 3)))
(* (pow y 2) (+ (* -1 (/ (* (pow x 2) z) y)) (pow x 3)))
(* (pow x 3) (pow y 2))
(* (pow y 2) (+ (* -1 (/ (* (pow x 2) z) y)) (pow x 3)))
(* (pow y 2) (+ (* -1 (/ (* (pow x 2) z) y)) (pow x 3)))
(* (pow y 2) (+ (* -1 (/ (* (pow x 2) z) y)) (pow x 3)))
(* (pow x 3) (pow y 2))
(+ (* -1 (* (pow x 2) (* y z))) (* (pow x 3) (pow y 2)))
(+ (* -1 (* (pow x 2) (* y z))) (* (pow x 3) (pow y 2)))
(+ (* -1 (* (pow x 2) (* y z))) (* (pow x 3) (pow y 2)))
(* -1 (* (pow x 2) (* y z)))
(* z (+ (* -1 (* (pow x 2) y)) (/ (* (pow x 3) (pow y 2)) z)))
(* z (+ (* -1 (* (pow x 2) y)) (/ (* (pow x 3) (pow y 2)) z)))
(* z (+ (* -1 (* (pow x 2) y)) (/ (* (pow x 3) (pow y 2)) z)))
(* -1 (* (pow x 2) (* y z)))
(* -1 (* z (+ (* -1 (/ (* (pow x 3) (pow y 2)) z)) (* (pow x 2) y))))
(* -1 (* z (+ (* -1 (/ (* (pow x 3) (pow y 2)) z)) (* (pow x 2) y))))
(* -1 (* z (+ (* -1 (/ (* (pow x 3) (pow y 2)) z)) (* (pow x 2) y))))
(* -1 (* (pow x 2) (* y z)))
(* (pow x 2) (+ (* -1 (* y z)) (* x (pow y 2))))
(* (pow x 2) (+ (* -1 (* y z)) (* x (pow y 2))))
(* (pow x 2) (+ (* -1 (* y z)) (* x (pow y 2))))
(* (pow x 3) (pow y 2))
(* (pow x 3) (+ (* -1 (/ (* y z) x)) (pow y 2)))
(* (pow x 3) (+ (* -1 (/ (* y z) x)) (pow y 2)))
(* (pow x 3) (+ (* -1 (/ (* y z) x)) (pow y 2)))
(* (pow x 3) (pow y 2))
(* -1 (* (pow x 3) (+ (* -1 (pow y 2)) (/ (* y z) x))))
(* -1 (* (pow x 3) (+ (* -1 (pow y 2)) (/ (* y z) x))))
(* -1 (* (pow x 3) (+ (* -1 (pow y 2)) (/ (* y z) x))))
(* x (sin y))
(+ z (* x (sin y)))
(+ z (* x (sin y)))
(+ z (* x (sin y)))
z
(* z (+ 1 (/ (* x (sin y)) z)))
(* z (+ 1 (/ (* x (sin y)) z)))
(* z (+ 1 (/ (* x (sin y)) z)))
z
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) 1)))
z
(+ z (* x (sin y)))
(+ z (* x (sin y)))
(+ z (* x (sin y)))
(* x (sin y))
(* x (+ (sin y) (/ z x)))
(* x (+ (sin y) (/ z x)))
(* x (+ (sin y) (/ z x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ z x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/6 (* x (pow y 2))))))
(+ z (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))
(+ z (* x (sin y)))
(+ z (* x (sin y)))
(+ z (* x (sin y)))
(+ z (* x (sin y)))
(+ z (* x (sin y)))
(+ z (* x (sin y)))
(+ z (* x (sin y)))
(+ z (* 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 (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))
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)
(* 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))
(* 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))
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))
Outputs
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(neg.f64 (*.f64 z (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(neg.f64 (*.f64 z (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(neg.f64 (*.f64 z (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (/.f64 y (*.f64 z z))))
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 x x) (*.f64 z (*.f64 z z)))) (/.f64 x (*.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) z))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(fma.f64 y (fma.f64 y (fma.f64 (fma.f64 (/.f64 x (*.f64 z z)) #s(literal 1/3 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 x x) (*.f64 z (*.f64 z z))))) z)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 x x) (*.f64 z (*.f64 z z))))) (/.f64 x (*.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) z))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) (/.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(fma.f64 z (-.f64 (/.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 (cos.f64 y) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(fma.f64 z (fma.f64 z (fma.f64 (neg.f64 z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (cos.f64 y) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/ 1 (* z (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)
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(+ z (* y (+ x (* -1/6 (* x (pow y 2))))))
(fma.f64 y (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) z)
(+ z (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x) z)
(+ z (* x (sin y)))
(fma.f64 x (sin.f64 y) z)
(+ z (* x (sin y)))
(fma.f64 x (sin.f64 y) z)
(+ z (* x (sin y)))
(fma.f64 x (sin.f64 y) z)
(+ z (* x (sin y)))
(fma.f64 x (sin.f64 y) z)
(+ z (* x (sin y)))
(fma.f64 x (sin.f64 y) z)
(+ z (* x (sin y)))
(fma.f64 x (sin.f64 y) z)
(+ z (* x (sin y)))
(fma.f64 x (sin.f64 y) z)
(+ z (* x (sin y)))
(fma.f64 x (sin.f64 y) z)
(* 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 y (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 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 y (*.f64 y (fma.f64 x #s(literal 1/120 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/5040 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))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 y (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 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 y (*.f64 y (fma.f64 x #s(literal 1/120 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/5040 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))
(*.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))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* -1/720 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* -1/720 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* -1/720 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(* -1/720 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/720 binary64))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal -1/720 binary64)) y) y)
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal -1/720 binary64)) y) y)
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal -1/720 binary64)) y) y)
(* -1/720 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/720 binary64))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal -1/720 binary64)) y) y)
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal -1/720 binary64)) y) y)
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal -1/720 binary64)) y) y)

eval161.0ms (1.4%)

Memory
7.9MiB live, 292.6MiB allocated
Compiler

Compiled 36 100 to 2 796 computations (92.3% saved)

prune351.0ms (3%)

Memory
-20.6MiB live, 293.7MiB allocated
Pruning

68 alts after pruning (62 fresh and 6 done)

PrunedKeptTotal
New1 079261 105
Fresh123648
Picked505
Done066
Total1 096681 164
Accuracy
100.0%
Counts
1 164 → 68
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.2%
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))
33.4%
(fma.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)) (*.f64 z (*.f64 y y)) z)
59.2%
(fma.f64 (*.f64 z x) (/.f64 (sin.f64 y) z) z)
46.3%
(fma.f64 (*.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))) y (fma.f64 y x z))
33.3%
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)
✓99.8%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
74.8%
(fma.f64 (sin.f64 y) x z)
✓99.8%
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
46.2%
(fma.f64 z (/.f64 (*.f64 x y) z) z)
33.6%
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
46.7%
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x) z)
✓46.7%
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
47.2%
(fma.f64 y (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x) z)
33.6%
(fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) z)
34.0%
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) z)
✓47.9%
(fma.f64 y x z)
46.9%
(fma.f64 #s(literal 1 binary64) z (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 x #s(literal 1/120 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))) (*.f64 x #s(literal -1/6 binary64))) x)))
46.8%
(fma.f64 #s(literal 1 binary64) z (*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (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)) y)))
33.2%
(/.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)))) (neg.f64 (*.f64 z z))) (fma.f64 (sin.f64 y) x (neg.f64 z)))
4.6%
(/.f64 (fma.f64 z (*.f64 (*.f64 x (neg.f64 y)) z) (*.f64 y (*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y))))))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
13.9%
(/.f64 (fma.f64 y (neg.f64 (fma.f64 z (*.f64 x (*.f64 x y)) (*.f64 x (*.f64 z z)))) (*.f64 z (*.f64 z z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
19.0%
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (/.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
19.0%
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 z (*.f64 (neg.f64 z) z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
7.2%
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 y (*.f64 x (*.f64 z z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
28.3%
(/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x)))
13.3%
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 (neg.f64 y) y)) z)) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
1.8%
(/.f64 (*.f64 (*.f64 (*.f64 z (*.f64 y (neg.f64 y))) x) x) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
12.8%
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 z z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
13.9%
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
3.2%
(/.f64 (*.f64 y (fma.f64 (*.f64 y (*.f64 (neg.f64 z) x)) x (*.f64 y (*.f64 (*.f64 x (*.f64 x x)) y)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
1.9%
(/.f64 (*.f64 y (*.f64 (*.f64 z y) (*.f64 x (neg.f64 x)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
4.7%
(/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 x x) (-.f64 (*.f64 x y) z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
3.1%
(/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (neg.f64 z))
29.3%
(/.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 y))
3.5%
(/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 y (*.f64 y y))))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
13.7%
(/.f64 (neg.f64 (*.f64 z (*.f64 z (-.f64 (*.f64 x y) z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
50.7%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
58.6%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))
38.6%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (*.f64 z (cos.f64 y)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x))
59.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
41.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
35.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
32.0%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (/.f64 y (*.f64 z z)))))
74.8%
(+.f64 (*.f64 (sin.f64 y) x) z)
47.9%
(+.f64 (*.f64 y x) z)
46.4%
(+.f64 (*.f64 x (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)) (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)) z))
46.0%
(+.f64 (*.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)) (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)) z))
41.3%
(*.f64 (fma.f64 y (/.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (neg.f64 z)) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 z))
58.9%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
6.6%
(*.f64 (/.f64 (*.f64 y (*.f64 x (fma.f64 z (neg.f64 x) (*.f64 y (*.f64 x x))))) (-.f64 (*.f64 y x) z)) (/.f64 y (-.f64 (*.f64 y x) z)))
45.5%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z (*.f64 z #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (+.f64 y y)) (*.f64 z (*.f64 z #s(literal 1/2 binary64))))))
45.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.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 y y))))) (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
19.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z))) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
5.2%
(*.f64 (*.f64 y (*.f64 x (fma.f64 z (neg.f64 x) (*.f64 y (*.f64 x x))))) (/.f64 y (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z))))
29.3%
(*.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
68.8%
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 (sin.f64 y) z) #s(literal -1 binary64)))
46.0%
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))
33.4%
(*.f64 z (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
33.4%
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓59.1%
(*.f64 z (cos.f64 y))
15.6%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 2/45 binary64)) (fma.f64 x #s(literal 1/120 binary64) (*.f64 x #s(literal 1/36 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))
88.0%
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
15.8%
(*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))
41.7%
(*.f64 x (sin.f64 y))
✓15.7%
(*.f64 x y)
3.1%
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y (*.f64 y y))))
42.8%
(neg.f64 (*.f64 z (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal -1 binary64))))
35.8%
z
Compiler

Compiled 3 588 to 1 193 computations (66.8% saved)

regimes268.0ms (2.3%)

Memory
21.8MiB live, 134.9MiB allocated
Counts
106 → 1
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 z #s(literal 1 binary64))
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)) z)
(fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
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Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Calls

4 calls:

95.0ms
x
92.0ms
y
48.0ms
z
27.0ms
(+.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)

regimes226.0ms (1.9%)

Memory
5.5MiB live, 161.7MiB allocated
Counts
79 → 1
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 z #s(literal 1 binary64))
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)) z)
(fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y (*.f64 y y))))
(*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 y (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x) z)
(fma.f64 z (/.f64 (*.f64 x y) z) z)
(neg.f64 (*.f64 z (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal -1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #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 y (*.f64 y (*.f64 x x))) (neg.f64 z))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
(fma.f64 (*.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))) y (fma.f64 y x z))
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z))
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x) z)
(fma.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)) (*.f64 z (*.f64 y y)) z)
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (/.f64 y (*.f64 z z)))))
(*.f64 z (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) z (*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (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)) y)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 2/45 binary64)) (fma.f64 x #s(literal 1/120 binary64) (*.f64 x #s(literal 1/36 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))
(/.f64 (neg.f64 (*.f64 z (*.f64 z (-.f64 (*.f64 x y) z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 (fma.f64 y (/.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (neg.f64 z)) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 z))
(/.f64 (*.f64 y (*.f64 (*.f64 z y) (*.f64 x (neg.f64 x)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (*.f64 (*.f64 (*.f64 z (*.f64 y (neg.f64 y))) x) x) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(fma.f64 y (*.f64 z (fma.f64 y #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x (*.f64 y y)) z) (/.f64 x z)))) z)
(/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 y (*.f64 y y))))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(fma.f64 #s(literal 1 binary64) z (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 x #s(literal 1/120 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))) (*.f64 x #s(literal -1/6 binary64))) x)))
(/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 x x) (-.f64 (*.f64 x y) z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(+.f64 (*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)) (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)) z))
(*.f64 (*.f64 y (*.f64 x (fma.f64 z (neg.f64 x) (*.f64 y (*.f64 x x))))) (/.f64 y (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z))))
(/.f64 (*.f64 (*.f64 z z) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z))) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
(fma.f64 y (fma.f64 y (neg.f64 (fma.f64 x (/.f64 x z) (fma.f64 #s(literal -2 binary64) (*.f64 x (/.f64 x z)) (*.f64 x (/.f64 x z))))) x) z)
(/.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y)))))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 (/.f64 (*.f64 y (*.f64 x (fma.f64 z (neg.f64 x) (*.f64 y (*.f64 x x))))) (-.f64 (*.f64 y x) z)) (/.f64 y (-.f64 (*.f64 y x) z)))
(+.f64 (*.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)) (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)) z))
(/.f64 (*.f64 y (fma.f64 (*.f64 y (*.f64 (neg.f64 z) x)) x (*.f64 y (*.f64 (*.f64 x (*.f64 x x)) y)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 (neg.f64 y) y)) z)) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 z (*.f64 (neg.f64 z) z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 z (*.f64 x (*.f64 x y)) (*.f64 x (*.f64 z z)))) (*.f64 z (*.f64 z z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 y (*.f64 x (*.f64 z z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(+.f64 (*.f64 x (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)) (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)) z))
(/.f64 (fma.f64 z (*.f64 (*.f64 x (neg.f64 y)) z) (*.f64 y (*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y))))))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 z (*.f64 (neg.f64 y) y) (*.f64 x (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 z z) (-.f64 z (*.f64 x y)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(+.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64))) (*.f64 x #s(literal -1/6 binary64))) x)) (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)) z))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (/.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 z z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(fma.f64 (sin.f64 y) x z)
(+.f64 (*.f64 (sin.f64 y) x) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(literal 1 binary64)))
(fma.f64 (*.f64 z x) (/.f64 (sin.f64 y) z) z)
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 (sin.f64 y) z) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z))
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (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)) z))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
Outputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
Calls

4 calls:

92.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
87.0ms
y
22.0ms
x
21.0ms
z
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)

regimes139.0ms (1.2%)

Memory
-26.4MiB live, 179.8MiB allocated
Counts
76 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 z #s(literal 1 binary64))
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)) z)
(fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y (*.f64 y y))))
(*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 y (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x) z)
(fma.f64 z (/.f64 (*.f64 x y) z) z)
(neg.f64 (*.f64 z (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal -1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #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 y (*.f64 y (*.f64 x x))) (neg.f64 z))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
(fma.f64 (*.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))) y (fma.f64 y x z))
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z))
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x) z)
(fma.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)) (*.f64 z (*.f64 y y)) z)
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (/.f64 y (*.f64 z z)))))
(*.f64 z (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) z (*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (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)) y)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 2/45 binary64)) (fma.f64 x #s(literal 1/120 binary64) (*.f64 x #s(literal 1/36 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))
(/.f64 (neg.f64 (*.f64 z (*.f64 z (-.f64 (*.f64 x y) z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 (fma.f64 y (/.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (neg.f64 z)) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 z))
(/.f64 (*.f64 y (*.f64 (*.f64 z y) (*.f64 x (neg.f64 x)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (*.f64 (*.f64 (*.f64 z (*.f64 y (neg.f64 y))) x) x) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(fma.f64 y (*.f64 z (fma.f64 y #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x (*.f64 y y)) z) (/.f64 x z)))) z)
(/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 y (*.f64 y y))))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(fma.f64 #s(literal 1 binary64) z (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 x #s(literal 1/120 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))) (*.f64 x #s(literal -1/6 binary64))) x)))
(/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 x x) (-.f64 (*.f64 x y) z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(+.f64 (*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)) (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)) z))
(*.f64 (*.f64 y (*.f64 x (fma.f64 z (neg.f64 x) (*.f64 y (*.f64 x x))))) (/.f64 y (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z))))
(/.f64 (*.f64 (*.f64 z z) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z))) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
(fma.f64 y (fma.f64 y (neg.f64 (fma.f64 x (/.f64 x z) (fma.f64 #s(literal -2 binary64) (*.f64 x (/.f64 x z)) (*.f64 x (/.f64 x z))))) x) z)
(/.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y)))))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 (/.f64 (*.f64 y (*.f64 x (fma.f64 z (neg.f64 x) (*.f64 y (*.f64 x x))))) (-.f64 (*.f64 y x) z)) (/.f64 y (-.f64 (*.f64 y x) z)))
(+.f64 (*.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)) (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)) z))
(/.f64 (*.f64 y (fma.f64 (*.f64 y (*.f64 (neg.f64 z) x)) x (*.f64 y (*.f64 (*.f64 x (*.f64 x x)) y)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 (neg.f64 y) y)) z)) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 z (*.f64 (neg.f64 z) z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 z (*.f64 x (*.f64 x y)) (*.f64 x (*.f64 z z)))) (*.f64 z (*.f64 z z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 y (*.f64 x (*.f64 z z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(+.f64 (*.f64 x (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)) (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)) z))
(/.f64 (fma.f64 z (*.f64 (*.f64 x (neg.f64 y)) z) (*.f64 y (*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y))))))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 z (*.f64 (neg.f64 y) y) (*.f64 x (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 z z) (-.f64 z (*.f64 x y)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(+.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64))) (*.f64 x #s(literal -1/6 binary64))) x)) (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)) z))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (/.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 z z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(fma.f64 (sin.f64 y) x z)
(+.f64 (*.f64 (sin.f64 y) x) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(literal 1 binary64)))
(fma.f64 (*.f64 z x) (/.f64 (sin.f64 y) z) z)
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 (sin.f64 y) z) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z))
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (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)) z))
Outputs
(fma.f64 (sin.f64 y) x z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 (sin.f64 y) x) z)
Calls

4 calls:

58.0ms
x
26.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
24.0ms
z
23.0ms
y
Results
AccuracySegmentsBranch
85.8%3x
79.2%2y
84.7%3z
76.9%2(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes22.0ms (0.2%)

Memory
8.3MiB live, 46.6MiB allocated
Counts
65 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 z #s(literal 1 binary64))
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)) z)
(fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y (*.f64 y y))))
(*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 y (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x) z)
(fma.f64 z (/.f64 (*.f64 x y) z) z)
(neg.f64 (*.f64 z (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal -1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #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 y (*.f64 y (*.f64 x x))) (neg.f64 z))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
(fma.f64 (*.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))) y (fma.f64 y x z))
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z))
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x) z)
(fma.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)) (*.f64 z (*.f64 y y)) z)
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (/.f64 y (*.f64 z z)))))
(*.f64 z (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) z (*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (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)) y)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 2/45 binary64)) (fma.f64 x #s(literal 1/120 binary64) (*.f64 x #s(literal 1/36 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))
(/.f64 (neg.f64 (*.f64 z (*.f64 z (-.f64 (*.f64 x y) z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 (fma.f64 y (/.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (neg.f64 z)) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 z))
(/.f64 (*.f64 y (*.f64 (*.f64 z y) (*.f64 x (neg.f64 x)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (*.f64 (*.f64 (*.f64 z (*.f64 y (neg.f64 y))) x) x) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(fma.f64 y (*.f64 z (fma.f64 y #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x (*.f64 y y)) z) (/.f64 x z)))) z)
(/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 y (*.f64 y y))))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(fma.f64 #s(literal 1 binary64) z (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 x #s(literal 1/120 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))) (*.f64 x #s(literal -1/6 binary64))) x)))
(/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 x x) (-.f64 (*.f64 x y) z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(+.f64 (*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)) (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)) z))
(*.f64 (*.f64 y (*.f64 x (fma.f64 z (neg.f64 x) (*.f64 y (*.f64 x x))))) (/.f64 y (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z))))
(/.f64 (*.f64 (*.f64 z z) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z))) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
(fma.f64 y (fma.f64 y (neg.f64 (fma.f64 x (/.f64 x z) (fma.f64 #s(literal -2 binary64) (*.f64 x (/.f64 x z)) (*.f64 x (/.f64 x z))))) x) z)
(/.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y)))))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 (/.f64 (*.f64 y (*.f64 x (fma.f64 z (neg.f64 x) (*.f64 y (*.f64 x x))))) (-.f64 (*.f64 y x) z)) (/.f64 y (-.f64 (*.f64 y x) z)))
(+.f64 (*.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)) (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)) z))
(/.f64 (*.f64 y (fma.f64 (*.f64 y (*.f64 (neg.f64 z) x)) x (*.f64 y (*.f64 (*.f64 x (*.f64 x x)) y)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 (neg.f64 y) y)) z)) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 z (*.f64 (neg.f64 z) z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 z (*.f64 x (*.f64 x y)) (*.f64 x (*.f64 z z)))) (*.f64 z (*.f64 z z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 y (*.f64 x (*.f64 z z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(+.f64 (*.f64 x (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)) (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)) z))
(/.f64 (fma.f64 z (*.f64 (*.f64 x (neg.f64 y)) z) (*.f64 y (*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y))))))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 z (*.f64 (neg.f64 y) y) (*.f64 x (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 z z) (-.f64 z (*.f64 x y)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(+.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64))) (*.f64 x #s(literal -1/6 binary64))) x)) (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)) z))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (/.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 z z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(fma.f64 (sin.f64 y) x z)
Outputs
(fma.f64 (sin.f64 y) x z)
(*.f64 z (cos.f64 y))
(fma.f64 (sin.f64 y) x z)
Calls

1 calls:

18.0ms
x
Results
AccuracySegmentsBranch
85.8%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes99.0ms (0.9%)

Memory
16.6MiB live, 94.8MiB allocated
Counts
64 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 z #s(literal 1 binary64))
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)) z)
(fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y (*.f64 y y))))
(*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 y (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x) z)
(fma.f64 z (/.f64 (*.f64 x y) z) z)
(neg.f64 (*.f64 z (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal -1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #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 y (*.f64 y (*.f64 x x))) (neg.f64 z))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
(fma.f64 (*.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))) y (fma.f64 y x z))
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z))
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x) z)
(fma.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)) (*.f64 z (*.f64 y y)) z)
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (/.f64 y (*.f64 z z)))))
(*.f64 z (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) z (*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (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)) y)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 2/45 binary64)) (fma.f64 x #s(literal 1/120 binary64) (*.f64 x #s(literal 1/36 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))
(/.f64 (neg.f64 (*.f64 z (*.f64 z (-.f64 (*.f64 x y) z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 (fma.f64 y (/.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (neg.f64 z)) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 z))
(/.f64 (*.f64 y (*.f64 (*.f64 z y) (*.f64 x (neg.f64 x)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (*.f64 (*.f64 (*.f64 z (*.f64 y (neg.f64 y))) x) x) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(fma.f64 y (*.f64 z (fma.f64 y #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x (*.f64 y y)) z) (/.f64 x z)))) z)
(/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 y (*.f64 y y))))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(fma.f64 #s(literal 1 binary64) z (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 x #s(literal 1/120 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))) (*.f64 x #s(literal -1/6 binary64))) x)))
(/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 x x) (-.f64 (*.f64 x y) z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(+.f64 (*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)) (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)) z))
(*.f64 (*.f64 y (*.f64 x (fma.f64 z (neg.f64 x) (*.f64 y (*.f64 x x))))) (/.f64 y (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z))))
(/.f64 (*.f64 (*.f64 z z) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z))) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
(fma.f64 y (fma.f64 y (neg.f64 (fma.f64 x (/.f64 x z) (fma.f64 #s(literal -2 binary64) (*.f64 x (/.f64 x z)) (*.f64 x (/.f64 x z))))) x) z)
(/.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y)))))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 (/.f64 (*.f64 y (*.f64 x (fma.f64 z (neg.f64 x) (*.f64 y (*.f64 x x))))) (-.f64 (*.f64 y x) z)) (/.f64 y (-.f64 (*.f64 y x) z)))
(+.f64 (*.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)) (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)) z))
(/.f64 (*.f64 y (fma.f64 (*.f64 y (*.f64 (neg.f64 z) x)) x (*.f64 y (*.f64 (*.f64 x (*.f64 x x)) y)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 (neg.f64 y) y)) z)) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 z (*.f64 (neg.f64 z) z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 z (*.f64 x (*.f64 x y)) (*.f64 x (*.f64 z z)))) (*.f64 z (*.f64 z z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 y (*.f64 x (*.f64 z z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(+.f64 (*.f64 x (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)) (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)) z))
(/.f64 (fma.f64 z (*.f64 (*.f64 x (neg.f64 y)) z) (*.f64 y (*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y))))))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 z (*.f64 (neg.f64 y) y) (*.f64 x (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 z z) (-.f64 z (*.f64 x y)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(+.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64))) (*.f64 x #s(literal -1/6 binary64))) x)) (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)) z))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (/.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 z z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
Outputs
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 x (sin.f64 y))
Calls

3 calls:

41.0ms
x
37.0ms
y
17.0ms
z
Results
AccuracySegmentsBranch
78.2%4y
75.9%3z
79.3%3x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes98.0ms (0.8%)

Memory
-16.3MiB live, 140.0MiB allocated
Counts
63 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 z #s(literal 1 binary64))
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)) z)
(fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y (*.f64 y y))))
(*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 y (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x) z)
(fma.f64 z (/.f64 (*.f64 x y) z) z)
(neg.f64 (*.f64 z (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal -1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #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 y (*.f64 y (*.f64 x x))) (neg.f64 z))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
(fma.f64 (*.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))) y (fma.f64 y x z))
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z))
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x) z)
(fma.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)) (*.f64 z (*.f64 y y)) z)
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (/.f64 y (*.f64 z z)))))
(*.f64 z (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) z (*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (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)) y)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 2/45 binary64)) (fma.f64 x #s(literal 1/120 binary64) (*.f64 x #s(literal 1/36 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))
(/.f64 (neg.f64 (*.f64 z (*.f64 z (-.f64 (*.f64 x y) z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 (fma.f64 y (/.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (neg.f64 z)) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 z))
(/.f64 (*.f64 y (*.f64 (*.f64 z y) (*.f64 x (neg.f64 x)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (*.f64 (*.f64 (*.f64 z (*.f64 y (neg.f64 y))) x) x) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(fma.f64 y (*.f64 z (fma.f64 y #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x (*.f64 y y)) z) (/.f64 x z)))) z)
(/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 y (*.f64 y y))))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(fma.f64 #s(literal 1 binary64) z (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 x #s(literal 1/120 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))) (*.f64 x #s(literal -1/6 binary64))) x)))
(/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 x x) (-.f64 (*.f64 x y) z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(+.f64 (*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)) (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)) z))
(*.f64 (*.f64 y (*.f64 x (fma.f64 z (neg.f64 x) (*.f64 y (*.f64 x x))))) (/.f64 y (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z))))
(/.f64 (*.f64 (*.f64 z z) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z))) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
(fma.f64 y (fma.f64 y (neg.f64 (fma.f64 x (/.f64 x z) (fma.f64 #s(literal -2 binary64) (*.f64 x (/.f64 x z)) (*.f64 x (/.f64 x z))))) x) z)
(/.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y)))))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 (/.f64 (*.f64 y (*.f64 x (fma.f64 z (neg.f64 x) (*.f64 y (*.f64 x x))))) (-.f64 (*.f64 y x) z)) (/.f64 y (-.f64 (*.f64 y x) z)))
(+.f64 (*.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)) (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)) z))
(/.f64 (*.f64 y (fma.f64 (*.f64 y (*.f64 (neg.f64 z) x)) x (*.f64 y (*.f64 (*.f64 x (*.f64 x x)) y)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 (neg.f64 y) y)) z)) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 z (*.f64 (neg.f64 z) z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 z (*.f64 x (*.f64 x y)) (*.f64 x (*.f64 z z)))) (*.f64 z (*.f64 z z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 y (*.f64 x (*.f64 z z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(+.f64 (*.f64 x (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)) (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)) z))
(/.f64 (fma.f64 z (*.f64 (*.f64 x (neg.f64 y)) z) (*.f64 y (*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y))))))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 z (*.f64 (neg.f64 y) y) (*.f64 x (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 z z) (-.f64 z (*.f64 x y)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(+.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64))) (*.f64 x #s(literal -1/6 binary64))) x)) (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)) z))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (/.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 z z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 x (sin.f64 y))
Outputs
(*.f64 x (sin.f64 y))
(+.f64 (*.f64 x (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)) (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)) z))
(*.f64 x (sin.f64 y))
Calls

4 calls:

21.0ms
x
18.0ms
z
18.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
17.0ms
y
Results
AccuracySegmentsBranch
58.8%3z
72.8%3y
49.5%2(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
60.0%3x
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes98.0ms (0.8%)

Memory
17.7MiB live, 177.0MiB allocated
Counts
62 → 1
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 z #s(literal 1 binary64))
(fma.f64 y x z)
(+.f64 (*.f64 y x) z)
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)) z)
(fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y (*.f64 y y))))
(*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 y (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x) z)
(fma.f64 z (/.f64 (*.f64 x y) z) z)
(neg.f64 (*.f64 z (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal -1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #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 y (*.f64 y (*.f64 x x))) (neg.f64 z))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)
(fma.f64 (*.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))) y (fma.f64 y x z))
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z))
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x) z)
(fma.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)) (*.f64 z (*.f64 y y)) z)
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (/.f64 y (*.f64 z z)))))
(*.f64 z (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) z (*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (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)) y)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 2/45 binary64)) (fma.f64 x #s(literal 1/120 binary64) (*.f64 x #s(literal 1/36 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))
(/.f64 (neg.f64 (*.f64 z (*.f64 z (-.f64 (*.f64 x y) z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 (fma.f64 y (/.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (neg.f64 z)) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 z))
(/.f64 (*.f64 y (*.f64 (*.f64 z y) (*.f64 x (neg.f64 x)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (*.f64 (*.f64 (*.f64 z (*.f64 y (neg.f64 y))) x) x) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(fma.f64 y (*.f64 z (fma.f64 y #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x (*.f64 y y)) z) (/.f64 x z)))) z)
(/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 y (*.f64 y y))))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(fma.f64 #s(literal 1 binary64) z (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 x #s(literal 1/120 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))) (*.f64 x #s(literal -1/6 binary64))) x)))
(/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 x x) (-.f64 (*.f64 x y) z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(+.f64 (*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)) (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)) z))
(*.f64 (*.f64 y (*.f64 x (fma.f64 z (neg.f64 x) (*.f64 y (*.f64 x x))))) (/.f64 y (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z))))
(/.f64 (*.f64 (*.f64 z z) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z))) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
(fma.f64 y (fma.f64 y (neg.f64 (fma.f64 x (/.f64 x z) (fma.f64 #s(literal -2 binary64) (*.f64 x (/.f64 x z)) (*.f64 x (/.f64 x z))))) x) z)
(/.f64 (*.f64 y (*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y)))))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 (/.f64 (*.f64 y (*.f64 x (fma.f64 z (neg.f64 x) (*.f64 y (*.f64 x x))))) (-.f64 (*.f64 y x) z)) (/.f64 y (-.f64 (*.f64 y x) z)))
(+.f64 (*.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)) (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)) z))
(/.f64 (*.f64 y (fma.f64 (*.f64 y (*.f64 (neg.f64 z) x)) x (*.f64 y (*.f64 (*.f64 x (*.f64 x x)) y)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 (neg.f64 y) y)) z)) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 z (*.f64 (neg.f64 z) z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 z (*.f64 x (*.f64 x y)) (*.f64 x (*.f64 z z)))) (*.f64 z (*.f64 z z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 y (*.f64 x (*.f64 z z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 (-.f64 (*.f64 y x) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(+.f64 (*.f64 x (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)) (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)) z))
(/.f64 (fma.f64 z (*.f64 (*.f64 x (neg.f64 y)) z) (*.f64 y (*.f64 y (fma.f64 z (*.f64 (neg.f64 x) x) (*.f64 x (*.f64 x (*.f64 x y))))))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 z (*.f64 (neg.f64 y) y) (*.f64 x (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 z z) (-.f64 z (*.f64 x y)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(+.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 binary64))) (*.f64 x #s(literal -1/6 binary64))) x)) (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)) z))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (/.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 z z)))) (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
Outputs
(fma.f64 y x z)
Calls

4 calls:

43.0ms
x
17.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
17.0ms
z
17.0ms
y
Results
AccuracySegmentsBranch
47.9%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
47.9%1z
47.9%1x
47.9%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes17.0ms (0.1%)

Memory
-36.1MiB live, 22.6MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 z #s(literal 1 binary64))
Outputs
(*.f64 x y)
z
(*.f64 x y)
Calls

4 calls:

11.0ms
x
2.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
42.5%3x
35.8%1y
40.5%3z
35.8%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes4.0ms (0%)

Memory
12.0MiB live, 12.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
z
Outputs
z
Calls

3 calls:

1.0ms
x
1.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
35.8%1y
35.8%1z
35.8%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch46.0ms (0.4%)

Memory
22.7MiB live, 99.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
3.26045413757128e+87
1.9522043996661842e+99
20.0ms
-9.818172084252246e-35
-5.044068552161539e-43
Samples
32.0ms304×0valid
Compiler

Compiled 348 to 252 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sin: 9.0ms (42.6% of total)
ival-cos: 7.0ms (33.1% of total)
ival-mult: 4.0ms (18.9% of total)
ival-add: 1.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch46.0ms (0.4%)

Memory
3.1MiB live, 124.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
3.26045413757128e+87
1.9522043996661842e+99
22.0ms
-9.818172084252246e-35
-5.044068552161539e-43
Samples
27.0ms304×0valid
Compiler

Compiled 338 to 242 computations (28.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-sin: 8.0ms (40.1% of total)
ival-cos: 6.0ms (30% of total)
ival-mult: 4.0ms (20% of total)
ival-add: 1.0ms (5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch43.0ms (0.4%)

Memory
-18.7MiB live, 96.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
26.0ms
3.26045413757128e+87
1.9522043996661842e+99
14.0ms
-1.879192802947051e+31
-4.688616251554179e+29
Samples
28.0ms272×0valid
Compiler

Compiled 287 to 218 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sin: 7.0ms (40% of total)
ival-cos: 5.0ms (28.6% of total)
ival-mult: 4.0ms (22.9% of total)
ival-add: 1.0ms (5.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch38.0ms (0.3%)

Memory
22.3MiB live, 98.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
0.06718860101336342
3.520736547582319
22.0ms
-3660577737647.657
-0.01367935842192179
Samples
21.0ms272×0valid
Compiler

Compiled 882 to 490 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sin: 5.0ms (35.4% of total)
ival-cos: 4.0ms (28.4% of total)
ival-mult: 4.0ms (28.4% of total)
ival-add: 1.0ms (7.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch104.0ms (0.9%)

Memory
-25.9MiB live, 89.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
2.708191104058068e+78
6.309960319665752e+85
76.0ms
-7.650564518449799e+57
-4.203110248912176e+46
Samples
81.0ms304×0valid
Compiler

Compiled 243 to 185 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-cos: 61.0ms (82.5% of total)
ival-sin: 7.0ms (9.5% of total)
ival-mult: 4.0ms (5.4% of total)
ival-add: 1.0ms (1.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify8.0ms (0.1%)

Memory
32.5MiB live, 32.5MiB allocated
Algorithm
1×egg-herbie
Rules
14×*-commutative_binary64
6×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062157
173157
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(if (<=.f64 x #s(literal -68962299338965/383123885216472214589586756787577295904684780545900544 binary64)) (fma.f64 (sin.f64 y) x z) (if (<=.f64 x #s(literal 3300000000000000131102250422713846451418212207277667125032723263704966663979079798095872 binary64)) (*.f64 z (cos.f64 y)) (+.f64 (*.f64 (sin.f64 y) x) z)))
(if (<=.f64 x #s(literal -7601177882694809/24519928653854221733733552434404946937899825954937634816 binary64)) (fma.f64 (sin.f64 y) x z) (if (<=.f64 x #s(literal 2699999999999999943430567975497509262527314464338374361932812232746669335615762987671879680000 binary64)) (*.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) x z)))
(if (<=.f64 x #s(literal -2899999999999999804337932992512 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 x #s(literal 12499999999999999971129628064296350087076568499050479865069607995762198318516209559738991559835648 binary64)) (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(if (<=.f64 y #s(literal -8286623314361713/9007199254740992 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 8106479329266893/18014398509481984 binary64)) (+.f64 (*.f64 x (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)) (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)) z)) (*.f64 x (sin.f64 y))))
(fma.f64 y x z)
(if (<=.f64 x #s(literal -11399999999999999327224672776080247870757913232567959552 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal 37999999999999999175617149407532417689910461083451801762365415478374950809038787444736 binary64)) z (*.f64 x y)))
z
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(if (<=.f64 x #s(literal -68962299338965/383123885216472214589586756787577295904684780545900544 binary64)) (fma.f64 (sin.f64 y) x z) (if (<=.f64 x #s(literal 3300000000000000131102250422713846451418212207277667125032723263704966663979079798095872 binary64)) (*.f64 z (cos.f64 y)) (+.f64 (*.f64 (sin.f64 y) x) z)))
(if (<=.f64 x #s(literal -68962299338965/383123885216472214589586756787577295904684780545900544 binary64)) (fma.f64 (sin.f64 y) x z) (if (<=.f64 x #s(literal 3300000000000000131102250422713846451418212207277667125032723263704966663979079798095872 binary64)) (*.f64 z (cos.f64 y)) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (<=.f64 x #s(literal -7601177882694809/24519928653854221733733552434404946937899825954937634816 binary64)) (fma.f64 (sin.f64 y) x z) (if (<=.f64 x #s(literal 2699999999999999943430567975497509262527314464338374361932812232746669335615762987671879680000 binary64)) (*.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) x z)))
(if (<=.f64 x #s(literal -2899999999999999804337932992512 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 x #s(literal 12499999999999999971129628064296350087076568499050479865069607995762198318516209559738991559835648 binary64)) (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(if (<=.f64 y #s(literal -8286623314361713/9007199254740992 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 8106479329266893/18014398509481984 binary64)) (+.f64 (*.f64 x (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)) (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)) z)) (*.f64 x (sin.f64 y))))
(fma.f64 y x z)
(if (<=.f64 x #s(literal -11399999999999999327224672776080247870757913232567959552 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal 37999999999999999175617149407532417689910461083451801762365415478374950809038787444736 binary64)) z (*.f64 x y)))
z

soundness1.0s (8.7%)

Memory
-16.4MiB live, 829.6MiB allocated
Rules
12 858×lower-fma.f64
12 858×lower-fma.f32
11 480×lower-fma.f64
11 480×lower-fma.f32
9 612×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033180
065169
1261165
21835161
08407160
0109682
1344678
2991668
32652662
44669662
56964662
08196606
05055678
117465547
262205512
086225016
0821
01321
12921
218521
3183621
0839120
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 360 to 197 computations (45.3% saved)

preprocess134.0ms (1.2%)

Memory
2.6MiB live, 121.8MiB allocated
Compiler

Compiled 344 to 138 computations (59.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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