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

Time bar (total: 10.3s)

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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 (11.1%)

Memory
-11.2MiB live, 1 688.4MiB allocated
Samples
864.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 627.0ms
ival-sin: 255.0ms (40.7% of total)
ival-cos: 199.0ms (31.7% of total)
ival-mult: 111.0ms (17.7% of total)
ival-add: 54.0ms (8.6% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess46.0ms (0.5%)

Memory
7.0MiB live, 50.0MiB allocated
Algorithm
1×egg-herbie
Rules
180×associate-*r*
160×unsub-neg
142×associate-*l*
136×distribute-lft-neg-in
110×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

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

explain104.0ms (1%)

Memory
31.6MiB live, 187.6MiB 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
50.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-cos: 11.0ms (36.7% of total)
ival-sin: 10.0ms (33.4% of total)
ival-mult: 6.0ms (20% of total)
ival-add: 2.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval1.0ms (0%)

Memory
-38.6MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB 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)

simplify5.0ms (0%)

Memory
7.1MiB live, 7.1MiB 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)

localize32.0ms (0.3%)

Memory
13.8MiB live, 52.7MiB 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))
✓accuracy99.7%
(*.f64 z (cos.f64 y))
Samples
24.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sin: 6.0ms (39.1% of total)
ival-cos: 5.0ms (32.6% of total)
ival-mult: 3.0ms (19.5% of total)
ival-add: 1.0ms (6.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
13.8MiB live, 13.8MiB 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
z
@0
(+ (* x (sin y)) (* z (cos y)))
1.0ms
y
@-inf
(+ (* x (sin y)) (* z (cos y)))
1.0ms
y
@inf
(+ (* x (sin y)) (* z (cos y)))

rewrite491.0ms (4.8%)

Memory
2.9MiB live, 678.4MiB 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))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (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 z (cos.f64 y)) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (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 (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)

simplify402.0ms (3.9%)

Memory
4.4MiB live, 618.9MiB 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)

eval39.0ms (0.4%)

Memory
15.6MiB live, 95.1MiB allocated
Compiler

Compiled 10 107 to 557 computations (94.5% saved)

prune165.0ms (1.6%)

Memory
-163.7MiB live, 116.5MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New26715282
Fresh000
Picked101
Done000
Total26815283
Accuracy
99.9%
Counts
283 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.6%
(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)))))))
49.4%
(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)))
54.0%
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
54.0%
(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)
▶55.6%
(fma.f64 y x z)
38.0%
(/.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))))
▶99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
57.1%
(+.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))
▶59.1%
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
76.9%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(literal 1 binary64)))
40.1%
(*.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))))))))
61.5%
(*.f64 z (cos.f64 y))
▶39.0%
(*.f64 x (sin.f64 y))
Compiler

Compiled 662 to 332 computations (49.8% saved)

simplify13.0ms (0.1%)

Memory
-16.2MiB live, 27.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
✓cost-diff0
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(*.f64 x (sin.f64 y))
✓cost-diff128
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(*.f64 x (sin.f64 y))
✓cost-diff0
(fma.f64 y x z)
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(*.f64 z (cos.f64 y))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
Rules
174×lower-*.f32
166×lower-*.f64
164×lower-fma.f32
156×lower-fma.f64
54×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018115
034111
153111
289111
3129111
4130111
5169111
6173111
7178111
0178110
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(sin.f64 y)
y
x
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
(fma.f64 y x z)
y
x
z
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
z
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
#s(literal -1/2 binary64)
(*.f64 y y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
z
(cos.f64 y)
y
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
Outputs
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(sin.f64 y)
y
x
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
(fma.f64 y x z)
y
x
z
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
x
(sin.f64 y)
y
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) (fma.f64 (sin.f64 y) x z))
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
x
(sin.f64 y)
y
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/2 binary64)) z)
z
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(*.f64 y y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
z
(cos.f64 y)
y
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
x
(sin.f64 y)

localize132.0ms (1.3%)

Memory
-5.3MiB live, 151.5MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 x (sin.f64 y))
✓accuracy99.8%
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
✓accuracy100.0%
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
✓accuracy99.8%
(*.f64 x (sin.f64 y))
✓accuracy92.7%
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.8%
(*.f64 x (sin.f64 y))
✓accuracy100.0%
(fma.f64 y x z)
✓accuracy100.0%
(sin.f64 y)
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.9%
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
✓accuracy99.7%
(*.f64 z (cos.f64 y))
Samples
45.0ms256×0valid
Compiler

Compiled 124 to 23 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 10.0ms (34.6% of total)
ival-sin: 6.0ms (20.8% of total)
ival-add: 5.0ms (17.3% of total)
ival-cos: 5.0ms (17.3% of total)
ival-div: 3.0ms (10.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
33.5MiB live, 33.5MiB allocated
Counts
12 → 324
Calls
Call 1
Inputs
#<alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))>
#<alt (sin.f64 y)>
#<alt (*.f64 z (cos.f64 y))>
#<alt (cos.f64 y)>
#<alt (fma.f64 y x z)>
#<alt (*.f64 x (sin.f64 y))>
#<alt (+.f64 (*.f64 x (sin.f64 y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))>
#<alt (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))>
#<alt (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.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 (* 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)))>
#<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 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)>
#<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 (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (sin y))))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (sin y))))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (sin y))))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* x (+ (sin y) (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* x (+ (sin y) (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) 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 (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ z (pow y 2)) (/ (* x (sin y)) (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ z (pow y 2)) (/ (* x (sin y)) (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ z (pow y 2)) (/ (* x (sin y)) (pow y 2)))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ z (pow y 2)) (/ (* x (sin y)) (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ z (pow y 2)) (/ (* x (sin y)) (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ z (pow y 2)) (/ (* x (sin y)) (pow y 2)))))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* x (sin y)) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* x (sin y)) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x (sin y)) z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x (sin y)) z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x (sin y)) z))))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x (sin y)) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x (sin y)) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x (sin y)) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (/ 1 (* 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)>
#<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 (* 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 (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
Calls

81 calls:

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

rewrite472.0ms (4.6%)

Memory
8.3MiB live, 673.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 044×lower-fma.f32
7 036×lower-fma.f64
5 210×lower-*.f32
5 202×lower-*.f64
3 682×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01880
03476
112976
289876
0824975
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 559
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(sin.f64 y)
(*.f64 z (cos.f64 y))
(cos.f64 y)
(fma.f64 y x z)
(*.f64 x (sin.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
Outputs
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))
(+.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 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))))) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 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))))) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) (neg.f64 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))))) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) (neg.f64 z))))))
(+.f64 (neg.f64 (*.f64 (cos.f64 y) (neg.f64 z))) (neg.f64 (*.f64 (sin.f64 y) (neg.f64 x))))
(+.f64 (neg.f64 (*.f64 (sin.f64 y) (neg.f64 x))) (neg.f64 (*.f64 (cos.f64 y) (neg.f64 z))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) (neg.f64 z))) (*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) (neg.f64 x))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) (neg.f64 z))))
(+.f64 (*.f64 (*.f64 (cos.f64 y) (neg.f64 z)) #s(literal -1 binary64)) (*.f64 (*.f64 (sin.f64 y) (neg.f64 x)) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 x)) #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 y) (neg.f64 z)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 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))))) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 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))))) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) (neg.f64 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))))) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) (neg.f64 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))))) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 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))))) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 x)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) (neg.f64 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))))) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) (neg.f64 z)))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (*.f64 (sin.f64 y) x))
(fma.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64) (*.f64 z (cos.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))
(fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) (neg.f64 z)) (*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) (neg.f64 x))))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) (neg.f64 z))))
(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) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) (neg.f64 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))))) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) (neg.f64 z))))))
(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) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 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))))) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 x))))))
(fma.f64 (*.f64 (cos.f64 y) (neg.f64 z)) #s(literal -1 binary64) (*.f64 (*.f64 (sin.f64 y) (neg.f64 x)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (sin.f64 y) (neg.f64 x)) #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 y) (neg.f64 z)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))))
(/.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #s(literal 1 binary64))
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(*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 x)))))))
(*.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 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 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) (neg.f64 z)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 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) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) (neg.f64 z))))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 x))))))))
(*.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 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))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) (neg.f64 z))))))
(*.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.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) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) (neg.f64 z)))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 x)))))) #s(literal 1 binary64)))
(*.f64 (pow.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (*.f64 x x)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 x)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) (neg.f64 z)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 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 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) x) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) (neg.f64 z)))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 x)))))))
(*.f64 (pow.f64 (/.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 x)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) (neg.f64 z)))))
(*.f64 (/.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) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) (neg.f64 z))))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sin.f64 y) x (*.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 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) x) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) (neg.f64 z)))))))
(*.f64 (/.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) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) (neg.f64 z))))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 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)))) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 x)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 x))))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sin.f64 y) x (*.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 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) x) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) (neg.f64 z)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 x))))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 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)))) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 x)))))))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal -1/2 binary64))
(*.f64 (*.f64 y #s(literal -1/2 binary64)) y)

simplify460.0ms (4.5%)

Memory
-16.9MiB live, 736.8MiB allocated
Algorithm
1×egg-herbie
Rules
10 718×lower-fma.f64
10 718×lower-fma.f32
6 176×lower-*.f64
6 176×lower-*.f32
2 970×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03343244
111083201
237923138
087352914
Stop Event
1×iter limit
1×node limit
Counts
324 → 313
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)))
(* 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)))))
(* 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)))))
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)
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* 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)))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (sin y))))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (sin y))))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (sin y))))
(* x (sin y))
(* x (+ (sin y) (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))
(* x (+ (sin y) (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))
(* x (+ (sin y) (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (+ (/ z (pow y 2)) (/ (* x (sin y)) (pow y 2)))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ z (pow y 2)) (/ (* x (sin y)) (pow y 2)))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ z (pow y 2)) (/ (* x (sin y)) (pow y 2)))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (+ (/ z (pow y 2)) (/ (* x (sin y)) (pow y 2)))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ z (pow y 2)) (/ (* x (sin y)) (pow y 2)))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ z (pow y 2)) (/ (* x (sin y)) (pow y 2)))))
(* x (sin y))
(+ (* x (sin y)) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* x (sin y)) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* x (sin y)) (* z (+ 1 (* -1/2 (pow y 2)))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x (sin y)) z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x (sin y)) z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x (sin y)) z))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (* x (sin y)) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (* x (sin y)) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (* x (sin y)) z)) (* 1/2 (pow y 2))) 1)))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* -1/2 (* (pow y 2) z)))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(* 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
(+ 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)))
(* 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 (* x (sin y)))
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))
(+ (* 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))))
(+ (* 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)
(+ (* -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))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (* z (cos y)))
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))
(+ (* 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))))
(+ (* 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))))
(/ 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)))
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))
(* -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))
(* -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))
(* 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
(+ 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)))
(* 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)))))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
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 x (*.f64 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)))
(* 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)))
(* 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)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) 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 (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 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(fma.f64 y (*.f64 y (fma.f64 z (*.f64 y (*.f64 y (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))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
z
(+ 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)))))
(*.f64 y (+.f64 x (/.f64 z y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(*.f64 y (+.f64 x (/.f64 z 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)
(* x (+ y (/ z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(* x (+ y (/ z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(* x (+ y (/ z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 x (+.f64 y (/.f64 z x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 x (+.f64 y (/.f64 z x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 x (+.f64 y (/.f64 z x)))
(* x y)
(*.f64 x y)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
z
(* z (+ 1 (/ (* x y) z)))
(fma.f64 z (/.f64 (*.f64 x y) z) z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 z (/.f64 (*.f64 x y) z) z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 z (/.f64 (*.f64 x y) z) z)
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (neg.f64 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 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ z (* -1/2 (* (pow y 2) z)))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (sin y))))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (fma.f64 x (sin.f64 y) z))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (sin y))))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (fma.f64 x (sin.f64 y) z))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (sin y))))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (fma.f64 x (sin.f64 y) z))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))
(*.f64 x (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 z x) (sin.f64 y)))
(* x (+ (sin y) (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))
(*.f64 x (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 z x) (sin.f64 y)))
(* x (+ (sin y) (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))
(*.f64 x (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 z x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) x)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) x)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) x)))
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(fma.f64 x (-.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (*.f64 z z)))) (/.f64 (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(+ (* 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))))
(fma.f64 x (-.f64 (*.f64 x (-.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (*.f64 z z)))) (/.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))))) (/.f64 (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) (/.f64 (*.f64 z (cos.f64 y)) (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))
(/ (- (+ (/ 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)
(/.f64 (fma.f64 z (fma.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (neg.f64 (cos.f64 y)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) 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)
(/.f64 (fma.f64 z (fma.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (neg.f64 (cos.f64 y)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (neg.f64 (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) x)
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) (/.f64 (*.f64 z (cos.f64 y)) (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))
(* -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))
(/.f64 (fma.f64 z (fma.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (neg.f64 (cos.f64 y)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)
(* -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))
(/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 z z) (fma.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (*.f64 x x))) (fma.f64 z (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) x)
(* 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
(+ 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 x (*.f64 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)))
(* 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)))
(* -1/2 (pow y 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
(* -1/2 (pow y 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
(* -1/2 (pow y 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
(* -1/2 (pow y 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
(* -1/2 (pow y 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
(* -1/2 (pow y 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
(* -1/2 (pow y 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
(* -1/2 (pow y 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
(* -1/2 (pow y 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
(* -1/2 (pow y 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
(* -1/2 (pow y 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
(* -1/2 (pow y 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))

eval148.0ms (1.4%)

Memory
12.3MiB live, 239.2MiB allocated
Compiler

Compiled 27 486 to 1 555 computations (94.3% saved)

prune164.0ms (1.6%)

Memory
8.0MiB live, 271.9MiB allocated
Pruning

39 alts after pruning (36 fresh and 3 done)

PrunedKeptTotal
New94829977
Fresh3710
Picked235
Done000
Total95339992
Accuracy
100.0%
Counts
992 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.6%
(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)))))))
49.4%
(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)))))))
57.1%
(fma.f64 (sin.f64 y) x (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))
59.1%
(fma.f64 (sin.f64 y) x (fma.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))) z))
✓99.8%
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
76.9%
(fma.f64 (sin.f64 y) x (*.f64 z #s(literal 1 binary64)))
▶99.8%
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
37.5%
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
54.0%
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
54.0%
(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)
✓55.6%
(fma.f64 y x z)
58.1%
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
38.0%
(/.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))))
21.6%
(/.f64 (*.f64 (fma.f64 z z (*.f64 (*.f64 y x) (fma.f64 y x (neg.f64 z)))) (fma.f64 y x z)) (fma.f64 z (-.f64 z (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x)))))
15.6%
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z z)) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z z)) (fma.f64 y x (neg.f64 z))))
34.1%
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) z)))
54.7%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z z))) (/.f64 (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z))
▶76.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1 binary64) (*.f64 x (sin.f64 y)))))
61.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
▶39.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
28.7%
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 y x))) (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 z (*.f64 y x))))
53.7%
(+.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
53.8%
(+.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
▶53.7%
(+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
40.1%
(*.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))))))))
58.0%
(*.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
33.5%
(*.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))
90.9%
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
2.9%
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
61.5%
(*.f64 z (cos.f64 y))
18.5%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
18.6%
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
43.4%
(*.f64 y (+.f64 x (/.f64 z y)))
18.7%
(*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
90.0%
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
18.6%
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
49.5%
(*.f64 x (+.f64 y (/.f64 z x)))
✓39.0%
(*.f64 x (sin.f64 y))
▶18.8%
(*.f64 x y)
Compiler

Compiled 1 581 to 818 computations (48.3% saved)

simplify377.0ms (3.7%)

Memory
-3.7MiB live, 508.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x (sin.f64 y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
✓cost-diff320
(fma.f64 z #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1 binary64) (*.f64 x (sin.f64 y)))))
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y) y)
✓cost-diff0
(*.f64 x (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y) y))
✓cost-diff768
(+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
✓cost-diff0
(/.f64 #s(literal 1 binary64) z)
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(*.f64 (sin.f64 y) x)
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
Rules
15 054×lower-fma.f32
15 042×lower-fma.f64
2 194×distribute-lft-in
2 184×lower-*.f32
2 168×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029199
056188
1106188
2254185
3716185
41976184
54582184
66240184
77271184
87416184
97416184
107736184
117839184
127929184
137961184
147961184
157961184
08848176
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(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 x y)
x
y
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) z)
z
(+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(*.f64 x (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y) y))
x
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y) y)
(*.f64 y y)
y
(*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) 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))
(*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
z
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1 binary64) (*.f64 x (sin.f64 y)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(fma.f64 z #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
z
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y
Outputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(cos.f64 y)
y
z
(*.f64 (sin.f64 y) x)
(sin.f64 y)
x
(*.f64 x y)
(*.f64 y x)
x
y
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
z
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) z)
z
(+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) z)
(*.f64 x (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y) y))
(*.f64 (*.f64 y x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
x
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y) y)
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(*.f64 y y)
y
(*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y)
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))
(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))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
(*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z)
z
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1 binary64) (*.f64 x (sin.f64 y)))))
(fma.f64 (sin.f64 y) x z)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x z))
(fma.f64 z #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x z)
z
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
x
(sin.f64 y)
y

localize127.0ms (1.2%)

Memory
22.9MiB live, 257.3MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 z #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
✓accuracy99.8%
(*.f64 x (sin.f64 y))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1 binary64) (*.f64 x (sin.f64 y)))))
✓accuracy99.2%
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
✓accuracy98.9%
(*.f64 x (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y) y))
✓accuracy92.7%
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
✓accuracy88.9%
(+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) z)
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
✓accuracy100.0%
(*.f64 x y)
✓accuracy100.0%
(sin.f64 y)
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.8%
(*.f64 (sin.f64 y) x)
✓accuracy99.8%
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
Samples
90.0ms256×0valid
Compiler

Compiled 222 to 37 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 21.0ms (29% of total)
ival-div: 12.0ms (16.6% of total)
ival-cos: 11.0ms (15.2% of total)
const: 11.0ms (15.2% of total)
ival-sin: 10.0ms (13.8% of total)
ival-add: 7.0ms (9.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series44.0ms (0.4%)

Memory
-23.7MiB live, 51.7MiB allocated
Counts
17 → 384
Calls
Call 1
Inputs
#<alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))>
#<alt (cos.f64 y)>
#<alt (*.f64 (sin.f64 y) x)>
#<alt (sin.f64 y)>
#<alt (*.f64 x y)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))>
#<alt (/.f64 #s(literal 1 binary64) z)>
#<alt (+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))>
#<alt (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y) y))>
#<alt (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y) y)>
#<alt (*.f64 y y)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1 binary64) (*.f64 x (sin.f64 y)))))>
#<alt (fma.f64 z #s(literal 1 binary64) (*.f64 x (sin.f64 y)))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1 binary64) (*.f64 x (sin.f64 y))))>
#<alt (*.f64 x (sin.f64 y))>
#<alt (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)>
#<alt (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 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>
#<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 y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<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 y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))>
#<alt (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) (/ z x)))))>
#<alt (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) (/ z x)))))>
#<alt (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) (/ z x)))))>
#<alt (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* -1 (* x (+ (* -1 (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))>
#<alt (* -1 (* x (+ (* -1 (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))>
#<alt (* -1 (* x (+ (* -1 (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) 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 (* -1/5040 (* x (pow y 7)))>
#<alt (* (pow y 7) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))>
#<alt (* (pow y 7) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))>
#<alt (* (pow y 7) (+ (* -1/2 (/ z (pow y 5))) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))))>
#<alt (* -1/5040 (* x (pow y 7)))>
#<alt (* -1 (* (pow y 7) (+ (* -1/120 (/ x (pow y 2))) (* 1/5040 x))))>
#<alt (* -1 (* (pow y 7) (+ (* -1/120 (/ x (pow y 2))) (+ (* 1/5040 x) (* 1/6 (/ x (pow y 4)))))))>
#<alt (* -1 (* (pow y 7) (+ (* -1/120 (/ x (pow y 2))) (+ (* 1/5040 x) (+ (* 1/6 (/ x (pow y 4))) (* 1/2 (/ z (pow y 5))))))))>
#<alt (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (+ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z))))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<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 (* -1/5040 (* x (pow y 7)))>
#<alt (* (pow y 7) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))>
#<alt (* (pow y 7) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))>
#<alt (* (pow y 7) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))>
#<alt (* -1/5040 (* x (pow y 7)))>
#<alt (* -1 (* (pow y 7) (+ (* -1/120 (/ x (pow y 2))) (* 1/5040 x))))>
#<alt (* -1 (* (pow y 7) (+ (* -1/120 (/ x (pow y 2))) (+ (* 1/5040 x) (* 1/6 (/ x (pow y 4)))))))>
#<alt (* -1 (* (pow y 7) (+ (* -1 (/ x (pow y 6))) (+ (* -1/120 (/ x (pow y 2))) (+ (* 1/5040 x) (* 1/6 (/ x (pow y 4))))))))>
#<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 (* -1/5040 (pow y 7))>
#<alt (* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* (pow y 7) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* -1/5040 (pow y 7))>
#<alt (* -1 (* (pow y 7) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* x (sin y))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt z>
#<alt (* z (+ 1 (/ (* x (sin y)) z)))>
#<alt (* z (+ 1 (/ (* x (sin y)) z)))>
#<alt (* z (+ 1 (/ (* x (sin y)) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x (sin y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (sin y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (sin y)) z)) 1)))>
#<alt z>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ z x)))>
#<alt (* x (+ (sin y) (/ z x)))>
#<alt (* x (+ (sin y) (/ z x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ z x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/6 (* x (pow y 2))))))>
#<alt (+ z (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (* x (sin y))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt z>
#<alt (* z (+ 1 (/ (* x (sin y)) z)))>
#<alt (* z (+ 1 (/ (* x (sin y)) z)))>
#<alt (* z (+ 1 (/ (* x (sin y)) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x (sin y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (sin y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (sin y)) z)) 1)))>
#<alt z>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ z x)))>
#<alt (* x (+ (sin y) (/ z x)))>
#<alt (* x (+ (sin y) (/ z x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ z x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/6 (* x (pow y 2))))))>
#<alt (+ z (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (/ 1 (* x (sin y)))>
#<alt (+ (* -1 (/ z (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))>
#<alt (+ (* z (- (/ z (* (pow x 3) (pow (sin y) 3))) (/ 1 (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))>
#<alt (+ (* z (- (* z (+ (* -1 (/ z (* (pow x 4) (pow (sin y) 4)))) (/ 1 (* (pow x 3) (pow (sin y) 3))))) (/ 1 (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))>
#<alt (/ 1 z)>
#<alt (/ (+ 1 (* -1 (/ (* x (sin y)) z))) z)>
#<alt (/ (- (+ 1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (/ (* x (sin y)) z)) z)>
#<alt (/ (- (+ 1 (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (/ (* x (sin y)) z))) z)>
#<alt (/ 1 z)>
#<alt (* -1 (/ (- (/ (* x (sin y)) z) 1) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) z) (* x (sin y))) z)) 1) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) z) (* (pow x 2) (pow (sin y) 2))) z)) (* x (sin y))) z)) 1) z))>
#<alt (/ 1 z)>
#<alt (+ (* -1 (/ (* x (sin y)) (pow z 2))) (/ 1 z))>
#<alt (+ (* x (- (/ (* x (pow (sin y) 2)) (pow z 3)) (/ (sin y) (pow z 2)))) (/ 1 z))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (pow z 4))) (* -1 (/ (pow (sin y) 2) (pow z 3))))) (/ (sin y) (pow z 2)))) (/ 1 z))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ (+ (* -1 (/ z (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)>
#<alt (/ (- (+ (/ 1 (sin y)) (/ (pow z 2) (* (pow x 2) (pow (sin y) 3)))) (/ z (* x (pow (sin y) 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (pow z 3) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) (pow (sin y) 3)))) (/ z (* x (pow (sin y) 2))))) x)>
#<alt (/ 1 (* x (sin y)))>
#<alt (* -1 (/ (- (/ z (* x (pow (sin y) 2))) (/ 1 (sin y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x (pow (sin y) 3))) (/ z (pow (sin y) 2))) x)) (/ 1 (sin y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* x (pow (sin y) 4))) (/ (pow z 2) (pow (sin y) 3))) x)) (/ z (pow (sin y) 2))) x)) (/ 1 (sin y))) x))>
#<alt (/ 1 z)>
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (+ (* y (- (/ (* (pow x 2) y) (pow z 3)) (/ x (pow z 2)))) (/ 1 z))>
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (/ (pow x 3) (pow z 4))))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))>
#<alt (/ 1 (+ z (* x (sin y))))>
#<alt (/ 1 (+ z (* x (sin y))))>
#<alt (/ 1 (+ z (* x (sin y))))>
#<alt (/ 1 (+ z (* x (sin y))))>
#<alt (/ 1 (+ z (* x (sin y))))>
#<alt (/ 1 (+ z (* x (sin y))))>
#<alt (/ 1 (+ z (* x (sin y))))>
#<alt (/ 1 (+ z (* 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 y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))>
#<alt 1/120>
#<alt (+ 1/120 (* -1/5040 (pow y 2)))>
#<alt (+ 1/120 (* -1/5040 (pow y 2)))>
#<alt (+ 1/120 (* -1/5040 (pow y 2)))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
Calls

96 calls:

TimeVariablePointExpression
22.0ms
y
@-inf
(/ 1 (+ (* z 1) (* x (sin y))))
3.0ms
x
@0
(+ (* x (+ (* (* y y) (* (+ (* y (* y (+ (* (* y y) -1/5040) 1/120))) -1/6) y)) y)) (+ (* z (* -1/2 (* y y))) z))
2.0ms
y
@inf
(+ (* (cos y) z) (* (sin y) x))
1.0ms
x
@-inf
(/ 1 (+ (* z 1) (* x (sin y))))
1.0ms
x
@0
(* x (+ (* (* y y) (* (+ (* y (* y (+ (* (* y y) -1/5040) 1/120))) -1/6) y)) y))

rewrite542.0ms (5.3%)

Memory
6.6MiB live, 720.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 020×lower-fma.f32
7 008×lower-fma.f64
4 504×lower-*.f32
4 488×lower-*.f64
3 588×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029142
056131
1230128
21597128
08093121
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 711
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(cos.f64 y)
(*.f64 (sin.f64 y) x)
(sin.f64 y)
(*.f64 x y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
(+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(*.f64 x (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y) y))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y) y)
(*.f64 y y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1 binary64) (*.f64 x (sin.f64 y)))))
(fma.f64 z #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(*.f64 x (sin.f64 y))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 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))) (/.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 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 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(fma.f64 z (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (sin.f64 y) x))
(fma.f64 z (/.f64 (cos.f64 y) #s(literal 1 binary64)) (*.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 #s(literal 1 binary64) (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64) (*.f64 (sin.f64 y) x))
(fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) (/.f64 #s(literal -1 binary64) z)) (*.f64 (sin.f64 y) x))
(fma.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 (cos.f64 y) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (sin.f64 y) x))
(fma.f64 (/.f64 (cos.f64 y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
(fma.f64 (/.f64 (cos.f64 y) #s(literal -1 binary64)) (neg.f64 z) (*.f64 (sin.f64 y) x))
(fma.f64 (/.f64 (cos.f64 y) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (*.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)))) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 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 #s(literal -1 binary64) (neg.f64 (/.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 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #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 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #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 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (cos.f64 y) (*.f64 (*.f64 z (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 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)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (fma.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))))))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))

simplify455.0ms (4.4%)

Memory
25.0MiB live, 827.9MiB allocated
Algorithm
1×egg-herbie
Rules
13 398×lower-fma.f64
13 398×lower-fma.f32
6 292×lower-*.f64
6 292×lower-*.f32
3 942×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03683859
111513819
236533740
081123436
Stop Event
1×iter limit
1×node limit
Counts
384 → 359
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)))
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(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
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(* -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 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))
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(* x (sin y))
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(* x (sin y))
(* x (sin y))
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y
(* y (+ 1 (* -1/6 (pow y 2))))
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(* 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)
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(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
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(* x y)
z
z
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(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
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(/ 1 z)
(/ 1 z)
(/ 1 z)
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(+ z (* -1/2 (* (pow y 2) z)))
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(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
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(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z))))
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(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z))))
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(* -1 (* z (- (+ (* -1 (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z)) (* 1/2 (pow y 2))) 1)))
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(* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
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(* -1 (* (pow y 7) (+ (* -1 (/ x (pow y 6))) (+ (* -1/120 (/ x (pow y 2))) (+ (* 1/5040 x) (* 1/6 (/ x (pow y 4))))))))
y
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(* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
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(pow y 2)
(pow y 2)
(pow y 2)
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(* x (sin y))
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(+ z (* x (sin y)))
z
(* z (+ 1 (/ (* x (sin y)) z)))
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(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) 1)))
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z
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(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ z x)))))
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z
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(* x (sin y))
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(+ z (* -1/2 (* (pow y 2) z)))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
1/120
(+ 1/120 (* -1/5040 (pow y 2)))
(+ 1/120 (* -1/5040 (pow y 2)))
(+ 1/120 (* -1/5040 (pow y 2)))
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
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 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 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 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)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 y (fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.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))
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 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
z
z
z
z
z
z
z
z
z
z
z
z
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ z (* -1/2 (* (pow y 2) z)))
(fma.f64 (*.f64 z y) (*.f64 y #s(literal -1/2 binary64)) z)
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.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)))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.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)))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.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)))
(* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.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))
(* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) (/ z x)))))
(*.f64 x (fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 z x))))
(* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) (/ z x)))))
(*.f64 x (fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 z x))))
(* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) (/ z x)))))
(*.f64 x (fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 z x))))
(* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.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))
(* -1 (* x (+ (* -1 (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))
(*.f64 x (fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 z y) (*.f64 y #s(literal -1/2 binary64)) z) x)))
(* -1 (* x (+ (* -1 (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))
(*.f64 x (fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 z y) (*.f64 y #s(literal -1/2 binary64)) z) x)))
(* -1 (* x (+ (* -1 (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))
(*.f64 x (fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 z y) (*.f64 y #s(literal -1/2 binary64)) z) x)))
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 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) z)
(* -1/5040 (* x (pow y 7)))
(*.f64 #s(literal -1/5040 binary64) (*.f64 x (pow.f64 y #s(literal 7 binary64))))
(* (pow y 7) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(*.f64 (pow.f64 y #s(literal 7 binary64)) (*.f64 x (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(* (pow y 7) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(*.f64 (pow.f64 y #s(literal 7 binary64)) (fma.f64 x (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (/.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) (*.f64 y y)))))
(* (pow y 7) (+ (* -1/2 (/ z (pow y 5))) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))))
(*.f64 (pow.f64 y #s(literal 7 binary64)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 5 binary64))) (fma.f64 x (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (/.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))))))
(* -1/5040 (* x (pow y 7)))
(*.f64 #s(literal -1/5040 binary64) (*.f64 x (pow.f64 y #s(literal 7 binary64))))
(* -1 (* (pow y 7) (+ (* -1/120 (/ x (pow y 2))) (* 1/5040 x))))
(*.f64 (pow.f64 y #s(literal 7 binary64)) (*.f64 x (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(* -1 (* (pow y 7) (+ (* -1/120 (/ x (pow y 2))) (+ (* 1/5040 x) (* 1/6 (/ x (pow y 4)))))))
(*.f64 (fma.f64 x #s(literal 1/5040 binary64) (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/120 binary64) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))))) (neg.f64 (pow.f64 y #s(literal 7 binary64))))
(* -1 (* (pow y 7) (+ (* -1/120 (/ x (pow y 2))) (+ (* 1/5040 x) (+ (* 1/6 (/ x (pow y 4))) (* 1/2 (/ z (pow y 5))))))))
(*.f64 (pow.f64 y #s(literal 7 binary64)) (neg.f64 (fma.f64 x #s(literal 1/5040 binary64) (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/120 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 z #s(literal 1/2 binary64)) (pow.f64 y #s(literal 5 binary64))))))))
(* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.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))
(+ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.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)))
(+ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.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)))
(+ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.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)))
(* z (+ 1 (* -1/2 (pow y 2))))
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(fma.f64 z (fma.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (/.f64 z (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ (+ 1 (* -1 (/ (* x (sin y)) z))) z)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sin.f64 y)) z)) z)
(/ (- (+ 1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (/ (* x (sin y)) z)) z)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 (sin.f64 y)))) z)) z)
(/ (- (+ 1 (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (/ (* x (sin y)) z))) z)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x (sin.f64 y) (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z))) z)) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(* -1 (/ (- (/ (* x (sin y)) z) 1) z))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sin.f64 y)) z)) z)
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) z) (* x (sin y))) z)) 1) z))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 x (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 (sin.f64 y)))) z)) (neg.f64 z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) z) (* (pow x 2) (pow (sin y) 2))) z)) (* x (sin y))) z)) 1) z))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x (sin.f64 y) (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z))) z)) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* -1 (/ (* x (sin y)) (pow z 2))) (/ 1 z))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sin.f64 y)) z)) z)
(+ (* x (- (/ (* x (pow (sin y) 2)) (pow z 3)) (/ (sin y) (pow z 2)))) (/ 1 z))
(fma.f64 x (fma.f64 x (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z (*.f64 z z))) (/.f64 (sin.f64 y) (*.f64 z (neg.f64 z)))) (/.f64 #s(literal 1 binary64) z))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (pow z 4))) (* -1 (/ (pow (sin y) 2) (pow z 3))))) (/ (sin y) (pow z 2)))) (/ 1 z))
(fma.f64 x (fma.f64 x (-.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (sin.f64 y) (*.f64 z (neg.f64 z)))) (/.f64 #s(literal 1 binary64) z))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(/ (+ (* -1 (/ z (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) (/.f64 z (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))
(/ (- (+ (/ 1 (sin y)) (/ (pow z 2) (* (pow x 2) (pow (sin y) 3)))) (/ z (* x (pow (sin y) 2)))) x)
(/.f64 (-.f64 (fma.f64 z (/.f64 z (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 z (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x)
(/ (- (+ (* -1 (/ (pow z 3) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) (pow (sin y) 3)))) (/ z (* x (pow (sin y) 2))))) x)
(/.f64 (-.f64 (fma.f64 (*.f64 z (neg.f64 z)) (/.f64 z (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 4 binary64))))) (fma.f64 z (/.f64 z (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) (/.f64 z (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x)
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(* -1 (/ (- (/ z (* x (pow (sin y) 2))) (/ 1 (sin y))) x))
(-.f64 (/.f64 (neg.f64 z) (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y))))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x (pow (sin y) 3))) (/ z (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(/.f64 (-.f64 (fma.f64 z (/.f64 z (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 z (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* x (pow (sin y) 4))) (/ (pow z 2) (pow (sin y) 3))) x)) (/ z (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(/.f64 (+.f64 (-.f64 (neg.f64 (/.f64 (*.f64 z (-.f64 (/.f64 (*.f64 z z) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (*.f64 x x))) (/.f64 z (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(fma.f64 x (/.f64 y (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) z))
(+ (* y (- (/ (* (pow x 2) y) (pow z 3)) (/ x (pow z 2)))) (/ 1 z))
(fma.f64 y (-.f64 (/.f64 (*.f64 x (*.f64 x y)) (*.f64 z (*.f64 z z))) (/.f64 x (*.f64 z z))) (/.f64 #s(literal 1 binary64) z))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (/ (pow x 3) (pow z 4))))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(fma.f64 y (fma.f64 y (fma.f64 x (/.f64 x (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 z z)) (/.f64 (*.f64 x x) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 y))) (/.f64 x (*.f64 z (neg.f64 z)))) (/.f64 #s(literal 1 binary64) z))
(/ 1 (+ z (* x (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) z))
(/ 1 (+ z (* x (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) z))
(/ 1 (+ z (* x (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) z))
(/ 1 (+ z (* x (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) z))
(/ 1 (+ z (* x (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) z))
(/ 1 (+ z (* x (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) z))
(/ 1 (+ z (* x (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) z))
(/ 1 (+ z (* x (sin y))))
(/.f64 #s(literal 1 binary64) (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 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* z (+ 1 (* -1/2 (pow y 2))))
(fma.f64 (*.f64 z y) (*.f64 y #s(literal -1/2 binary64)) z)
(* z (+ 1 (* -1/2 (pow y 2))))
(fma.f64 (*.f64 z y) (*.f64 y #s(literal -1/2 binary64)) z)
(* z (+ 1 (* -1/2 (pow y 2))))
(fma.f64 (*.f64 z y) (*.f64 y #s(literal -1/2 binary64)) z)
(* z (+ 1 (* -1/2 (pow y 2))))
(fma.f64 (*.f64 z y) (*.f64 y #s(literal -1/2 binary64)) z)
(* z (+ 1 (* -1/2 (pow y 2))))
(fma.f64 (*.f64 z y) (*.f64 y #s(literal -1/2 binary64)) z)
(* z (+ 1 (* -1/2 (pow y 2))))
(fma.f64 (*.f64 z y) (*.f64 y #s(literal -1/2 binary64)) z)
(* z (+ 1 (* -1/2 (pow y 2))))
(fma.f64 (*.f64 z y) (*.f64 y #s(literal -1/2 binary64)) z)
(* z (+ 1 (* -1/2 (pow y 2))))
(fma.f64 (*.f64 z y) (*.f64 y #s(literal -1/2 binary64)) z)
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(neg.f64 (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(neg.f64 (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(neg.f64 (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(neg.f64 (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))))
z
(+ z (* -1/2 (* (pow y 2) z)))
(fma.f64 (*.f64 z y) (*.f64 y #s(literal -1/2 binary64)) z)
(+ z (* -1/2 (* (pow y 2) z)))
(fma.f64 (*.f64 z y) (*.f64 y #s(literal -1/2 binary64)) z)
(+ z (* -1/2 (* (pow y 2) z)))
(fma.f64 (*.f64 z y) (*.f64 y #s(literal -1/2 binary64)) z)
(* -1/2 (* (pow y 2) z))
(*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 z (*.f64 y y))))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 z (*.f64 y y))))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 z (*.f64 y y))))
(* -1/2 (* (pow y 2) z))
(*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 z (*.f64 y y))))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 z (*.f64 y y))))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(*.f64 (*.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 z (*.f64 y y))))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* -1/5040 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 y (*.f64 y (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 y (*.f64 y (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 y (*.f64 y (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(* -1/5040 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 y (*.f64 y (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 y (*.f64 y (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 y (*.f64 y (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))))

eval188.0ms (1.8%)

Memory
31.2MiB live, 401.7MiB allocated
Compiler

Compiled 52 889 to 2 493 computations (95.3% saved)

prune232.0ms (2.3%)

Memory
-12.5MiB live, 472.4MiB allocated
Pruning

43 alts after pruning (37 fresh and 6 done)

PrunedKeptTotal
New1 107111 118
Fresh52631
Picked235
Done033
Total1 114431 157
Accuracy
100.0%
Counts
1 157 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.7%
(fma.f64 (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) x (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z))
37.5%
(fma.f64 (*.f64 z y) (*.f64 y #s(literal -1/2 binary64)) z)
49.6%
(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)))))))
49.4%
(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)))))))
57.1%
(fma.f64 (sin.f64 y) x (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))
59.1%
(fma.f64 (sin.f64 y) x (fma.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))) z))
✓99.8%
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
76.9%
(fma.f64 (sin.f64 y) x z)
✓99.8%
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
▶51.2%
(fma.f64 z (fma.f64 x (/.f64 (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) z) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
68.1%
(fma.f64 z (/.f64 (*.f64 x (sin.f64 y)) z) z)
54.5%
(fma.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) z)
54.5%
(fma.f64 y (fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x) z)
54.0%
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
▶54.0%
(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)
✓55.6%
(fma.f64 y x z)
▶99.6%
(fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) (/.f64 #s(literal -1 binary64) z)) (*.f64 (sin.f64 y) x))
58.1%
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
38.0%
(/.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))))
27.6%
(/.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 z z)) (-.f64 (*.f64 (sin.f64 y) x) z))
21.6%
(/.f64 (*.f64 (fma.f64 z z (*.f64 (*.f64 y x) (fma.f64 y x (neg.f64 z)))) (fma.f64 y x z)) (fma.f64 z (-.f64 z (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x)))))
15.6%
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z z)) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z z)) (fma.f64 y x (neg.f64 z))))
34.1%
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) z)))
54.7%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z z))) (/.f64 (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z))
28.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (/.f64 z (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 z (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x))
61.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
✓39.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
28.7%
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 y x))) (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 z (*.f64 y x))))
53.8%
(+.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
33.5%
(*.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))
90.9%
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
2.9%
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
61.5%
(*.f64 z (cos.f64 y))
18.5%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
18.6%
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
43.4%
(*.f64 y (+.f64 x (/.f64 z y)))
18.7%
(*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
▶90.0%
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
18.6%
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
49.5%
(*.f64 x (+.f64 y (/.f64 z x)))
✓39.0%
(*.f64 x (sin.f64 y))
✓18.8%
(*.f64 x y)
▶40.0%
z
Compiler

Compiled 1 578 to 859 computations (45.6% saved)

simplify349.0ms (3.4%)

Memory
-25.3MiB live, 654.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(/.f64 (cos.f64 y) x)
✓cost-diff0
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
✓cost-diff704
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
✓cost-diff0
(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)
✓cost-diff0
(/.f64 (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) z)
✓cost-diff320
(fma.f64 x (/.f64 (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) z) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))
✓cost-diff704
(fma.f64 z (fma.f64 x (/.f64 (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) z) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) 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 #s(literal -1 binary64) z)
✓cost-diff0
(cos.f64 y)
✓cost-diff448
(fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) (/.f64 #s(literal -1 binary64) z)) (*.f64 (sin.f64 y) x))
✓cost-diff960
(/.f64 (cos.f64 y) (/.f64 #s(literal -1 binary64) z))
Rules
9 760×lower-fma.f32
9 740×lower-fma.f64
3 790×lower-*.f32
3 774×lower-*.f64
3 644×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032244
066236
1141234
2330234
3696230
41730229
54032228
67796228
08226225
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) (/.f64 #s(literal -1 binary64) z)) (*.f64 (sin.f64 y) x))
#s(literal -1 binary64)
(/.f64 (cos.f64 y) (/.f64 #s(literal -1 binary64) z))
(cos.f64 y)
y
(/.f64 #s(literal -1 binary64) z)
z
(*.f64 (sin.f64 y) x)
(sin.f64 y)
x
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)
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)
(fma.f64 z (fma.f64 x (/.f64 (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) z) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
z
(fma.f64 x (/.f64 (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) z) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))
x
(/.f64 (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) z)
(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 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(*.f64 y y)
y
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 y (*.f64 y y))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
x
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
z
(/.f64 (cos.f64 y) x)
(cos.f64 y)
y
(sin.f64 y)
Outputs
(fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) (/.f64 #s(literal -1 binary64) z)) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
#s(literal -1 binary64)
(/.f64 (cos.f64 y) (/.f64 #s(literal -1 binary64) z))
(neg.f64 (*.f64 (cos.f64 y) z))
(cos.f64 y)
y
(/.f64 #s(literal -1 binary64) z)
z
(*.f64 (sin.f64 y) x)
(sin.f64 y)
x
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)
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)
(fma.f64 z (fma.f64 x (/.f64 (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) z) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 y (*.f64 x (*.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)))) x)) z)
z
(fma.f64 x (/.f64 (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) z) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))
(*.f64 y (fma.f64 (fma.f64 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))) #s(literal 1 binary64)) (/.f64 x z) (*.f64 y #s(literal -1/2 binary64))))
x
(/.f64 (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) z)
(/.f64 (fma.f64 y (*.f64 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) z)
(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 y (*.f64 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)
(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))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
(*.f64 y y)
y
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 y (*.f64 y y))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
x
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
z
(/.f64 (cos.f64 y) x)
(cos.f64 y)
y
(sin.f64 y)

localize154.0ms (1.5%)

Memory
18.5MiB live, 213.8MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.8%
(/.f64 (cos.f64 y) x)
✓accuracy99.8%
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
✓accuracy90.2%
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
✓accuracy99.2%
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
✓accuracy96.6%
(fma.f64 z (fma.f64 x (/.f64 (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) z) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
✓accuracy96.3%
(/.f64 (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) z)
✓accuracy86.8%
(fma.f64 x (/.f64 (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) z) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))
✓accuracy100.0%
(fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64)))
✓accuracy100.0%
(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x)
✓accuracy100.0%
(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%
(cos.f64 y)
✓accuracy100.0%
(fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) (/.f64 #s(literal -1 binary64) z)) (*.f64 (sin.f64 y) x))
✓accuracy99.8%
(*.f64 (sin.f64 y) x)
✓accuracy99.5%
(/.f64 (cos.f64 y) (/.f64 #s(literal -1 binary64) z))
Samples
103.0ms256×0valid
Compiler

Compiled 273 to 44 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-mult: 25.0ms (30.1% of total)
ival-cos: 22.0ms (26.5% of total)
ival-add: 10.0ms (12% of total)
ival-sin: 10.0ms (12% of total)
const: 9.0ms (10.8% of total)
ival-div: 7.0ms (8.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series38.0ms (0.4%)

Memory
8.8MiB live, 84.9MiB allocated
Counts
17 → 456
Calls
Call 1
Inputs
#<alt (/.f64 (cos.f64 y) (/.f64 #s(literal -1 binary64) z))>
#<alt (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) (/.f64 #s(literal -1 binary64) z)) (*.f64 (sin.f64 y) x))>
#<alt (cos.f64 y)>
#<alt (/.f64 #s(literal -1 binary64) z)>
#<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 (fma.f64 z (fma.f64 x (/.f64 (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) z) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)>
#<alt (fma.f64 x (/.f64 (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) z) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))>
#<alt (/.f64 (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) z)>
#<alt (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)>
#<alt (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))>
#<alt (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))>
#<alt (/.f64 (cos.f64 y) x)>
#<alt (*.f64 (sin.f64 y) x)>
#<alt (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))>
Outputs
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* 1/2 (* (pow y 2) z)))>
#<alt (+ (* -1 z) (* (pow y 2) (+ (* -1/24 (* (pow y 2) z)) (* 1/2 z))))>
#<alt (+ (* -1 z) (* (pow y 2) (+ (* 1/2 z) (* (pow y 2) (+ (* -1/24 z) (* 1/720 (* (pow y 2) z)))))))>
#<alt (* -1 (* z (cos y)))>
#<alt (* -1 (* z (cos y)))>
#<alt (* -1 (* z (cos y)))>
#<alt (* -1 (* z (cos y)))>
#<alt (* -1 (* z (cos y)))>
#<alt (* -1 (* z (cos y)))>
#<alt (* -1 (* z (cos y)))>
#<alt (* -1 (* z (cos y)))>
#<alt (* -1 (* z (cos y)))>
#<alt (* -1 (* z (cos y)))>
#<alt (* -1 (* z (cos y)))>
#<alt (* -1 (* z (cos y)))>
#<alt (* -1 (* z (cos y)))>
#<alt (* -1 (* z (cos y)))>
#<alt (* -1 (* z (cos y)))>
#<alt (* -1 (* z (cos y)))>
#<alt (* -1 (* z (cos y)))>
#<alt (* -1 (* z (cos y)))>
#<alt (* -1 (* z (cos y)))>
#<alt (* -1 (* z (cos y)))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* 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)))))>
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#<alt (/ (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) z)>
#<alt (/ (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) z)>
#<alt (/ (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) z)>
#<alt (/ (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) z)>
#<alt (/ (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) z)>
#<alt (/ (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) z)>
#<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 (* -1/5040 (pow y 7))>
#<alt (* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* (pow y 7) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* -1/5040 (pow y 7))>
#<alt (* -1 (* (pow y 7) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))>
#<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)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<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) (/ (* z (cos y)) x)))>
#<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 (sin y)>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (/ (* z (cos y)) x)>
#<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)) x)>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (/ z x)>
#<alt (+ y (/ z x))>
#<alt (+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x))>
#<alt (+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (/ (* z (cos y)) x)>
#<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 (sin y)>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (sin y)>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (/ 1 x)>
#<alt (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))>
#<alt (+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))>
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<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 1/120>
#<alt (+ 1/120 (* -1/5040 (pow y 2)))>
#<alt (+ 1/120 (* -1/5040 (pow y 2)))>
#<alt (+ 1/120 (* -1/5040 (pow y 2)))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
Calls

114 calls:

TimeVariablePointExpression
6.0ms
z
@-inf
(+ (* z (+ (* x (/ (+ (* (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) (* y (* y y))) y) z)) (* y (* y -1/2)))) z)
2.0ms
x
@-inf
(* x (+ (* z (/ (cos y) x)) (sin y)))
1.0ms
x
@inf
(+ (* z (+ (* x (/ (+ (* (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) (* y (* y y))) y) z)) (* y (* y -1/2)))) z)
1.0ms
z
@0
(+ (* z (+ (* x (/ (+ (* (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) (* y (* y y))) y) z)) (* y (* y -1/2)))) z)
1.0ms
x
@0
(+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z)

rewrite421.0ms (4.1%)

Memory
-41.9MiB live, 549.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 986×lower-fma.f32
5 966×lower-fma.f64
4 698×lower-*.f32
4 682×lower-*.f64
3 356×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032188
066180
1289177
22319177
08258177
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 448
Calls
Call 1
Inputs
(/.f64 (cos.f64 y) (/.f64 #s(literal -1 binary64) z))
(fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) (/.f64 #s(literal -1 binary64) z)) (*.f64 (sin.f64 y) x))
(cos.f64 y)
(/.f64 #s(literal -1 binary64) 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 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))
(fma.f64 z (fma.f64 x (/.f64 (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) z) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
(fma.f64 x (/.f64 (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) z) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))
(/.f64 (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) z)
(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)
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(/.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) x)
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) z))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z)) (*.f64 (cos.f64 y) (neg.f64 (neg.f64 z))))
(neg.f64 (*.f64 (cos.f64 y) (neg.f64 (neg.f64 z))))
(/.f64 (cos.f64 y) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) z)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (cos.f64 y)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) z)))))
(/.f64 (*.f64 (cos.f64 y) z) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (cos.f64 y))) (/.f64 #s(literal -1 binary64) z))
(/.f64 (neg.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 y)))) (/.f64 #s(literal 1 binary64) z))
(/.f64 (neg.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) z))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) z)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (cos.f64 y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) (neg.f64 (neg.f64 z))))
(*.f64 z (neg.f64 (cos.f64 y)))
(*.f64 (*.f64 (cos.f64 y) (neg.f64 (neg.f64 z))) #s(literal -1 binary64))
(*.f64 (neg.f64 z) (cos.f64 y))
(*.f64 (neg.f64 z) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (cos.f64 y)) z)
(*.f64 (neg.f64 (cos.f64 y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) (neg.f64 z)))
(*.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) (neg.f64 z))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) (neg.f64 (neg.f64 z))))
(+.f64 (*.f64 (cos.f64 y) (neg.f64 (neg.f64 z))) (*.f64 (sin.f64 y) x))
(-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) (neg.f64 z)))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) (neg.f64 (neg.f64 z))) (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (*.f64 (cos.f64 y) (neg.f64 (neg.f64 z))) (*.f64 (sin.f64 y) x))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) (neg.f64 (neg.f64 z))))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) (neg.f64 (neg.f64 z))))))
(fma.f64 (cos.f64 y) (neg.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) (*.f64 (neg.f64 z) #s(literal -1 binary64)) (*.f64 (sin.f64 y) x))
(fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) x))
(fma.f64 (*.f64 (cos.f64 y) (neg.f64 z)) #s(literal -1 binary64) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) (neg.f64 (neg.f64 z))))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 (neg.f64 z))))
(fma.f64 (*.f64 (cos.f64 y) (neg.f64 (neg.f64 z))) #s(literal 1 binary64) (*.f64 (sin.f64 y) x))
(fma.f64 (neg.f64 z) (neg.f64 (cos.f64 y)) (*.f64 (sin.f64 y) x))
(fma.f64 (neg.f64 (cos.f64 y)) (neg.f64 z) (*.f64 (sin.f64 y) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) (neg.f64 (neg.f64 z))) (*.f64 (sin.f64 y) x))
(fma.f64 (neg.f64 (neg.f64 (cos.f64 y))) z (*.f64 (sin.f64 y) x))
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 y))) z (*.f64 (sin.f64 y) x))
(fma.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) z (*.f64 (sin.f64 y) x))
(fma.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) (*.f64 (sin.f64 y) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) (neg.f64 (neg.f64 z)))) (pow.f64 (*.f64 (cos.f64 y) (neg.f64 z)) #s(literal 2 binary64))) (+.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) (neg.f64 z)) #s(literal 3 binary64))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (cos.f64 y) (neg.f64 (neg.f64 z))) (*.f64 (sin.f64 y) x)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) (neg.f64 z)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) (neg.f64 (neg.f64 z)))) (pow.f64 (*.f64 (cos.f64 y) (neg.f64 z)) #s(literal 2 binary64))) (+.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) (neg.f64 z)) #s(literal 3 binary64))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 y) (neg.f64 (neg.f64 z))) (*.f64 (sin.f64 y) x)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) (neg.f64 z)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) (neg.f64 z)) #s(literal 3 binary64))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) (neg.f64 (neg.f64 z)))) (pow.f64 (*.f64 (cos.f64 y) (neg.f64 z)) #s(literal 2 binary64))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) (neg.f64 z)) #s(literal 3 binary64))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (-.f64 (pow.f64 (*.f64 (cos.f64 y) (neg.f64 z)) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (cos.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) (neg.f64 z)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x))) (-.f64 (*.f64 (cos.f64 y) (neg.f64 (neg.f64 z))) (*.f64 (sin.f64 y) x)))
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) (neg.f64 z)) #s(literal 3 binary64))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) (neg.f64 (neg.f64 z)))) (pow.f64 (*.f64 (cos.f64 y) (neg.f64 z)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) (neg.f64 z)) #s(literal 3 binary64))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (-.f64 (pow.f64 (*.f64 (cos.f64 y) (neg.f64 z)) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (cos.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) x)))))))
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(+.f64 (/.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (fma.f64 z (/.f64 (cos.f64 y) x) (neg.f64 (sin.f64 y)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 z (/.f64 (cos.f64 y) x) (neg.f64 (sin.f64 y)))))
(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) z) x))) (/.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) z) x))))
(fma.f64 (cos.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) x) z) (sin.f64 y))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (cos.f64 y) (neg.f64 z)) x) (sin.f64 y))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(fma.f64 (neg.f64 z) (/.f64 (neg.f64 (cos.f64 y)) x) (sin.f64 y))
(fma.f64 (neg.f64 (cos.f64 y)) (/.f64 (neg.f64 z) x) (sin.f64 y))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (/.f64 #s(literal 1 binary64) (cos.f64 y))) (sin.f64 y))
(fma.f64 (*.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) x) (sin.f64 y))
(fma.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 (cos.f64 y) x) (sin.f64 y))
(fma.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) (/.f64 z x) (sin.f64 y))
(fma.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) x) (sin.f64 y))
(fma.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (sin.f64 y))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) #s(literal -1 binary64)) (/.f64 (neg.f64 z) x) (sin.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) z) x)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (neg.f64 (sin.f64 y))) (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) z) x)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (neg.f64 (sin.f64 y))) (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) z) x)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 z (/.f64 (cos.f64 y) x) (neg.f64 (sin.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) z) x)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (neg.f64 (sin.f64 y)))))
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64))) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) z) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (fma.f64 z (/.f64 (cos.f64 y) x) (neg.f64 (sin.f64 y)))) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (neg.f64 (sin.f64 y))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (neg.f64 (sin.f64 y))) (fma.f64 z (/.f64 (cos.f64 y) x) (neg.f64 (sin.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) z) x)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (neg.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (neg.f64 (sin.f64 y))))))
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) z) x))))
(pow.f64 (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) z) x)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (neg.f64 (sin.f64 y))) (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) z) x)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (cos.f64 y) x) (neg.f64 (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (cos.f64 y))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (cos.f64 y) (neg.f64 x)))
(neg.f64 (/.f64 (cos.f64 y) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (cos.f64 y)) x))
(/.f64 (cos.f64 y) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (cos.f64 y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (cos.f64 y)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (cos.f64 y)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (cos.f64 y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (cos.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (cos.f64 y))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 y)))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64))) (neg.f64 x))
(pow.f64 (/.f64 x (cos.f64 y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (cos.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (cos.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (neg.f64 (cos.f64 y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64))))
(+.f64 (*.f64 y (*.f64 y #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))))
(-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64))))))
(fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 (*.f64 y #s(literal -1/5040 binary64)) y #s(literal 1/120 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (neg.f64 (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))))
(/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))))

simplify662.0ms (6.4%)

Memory
11.8MiB live, 640.6MiB allocated
Algorithm
1×egg-herbie
Rules
15 586×lower-fma.f64
15 586×lower-fma.f32
6 744×lower-*.f64
6 744×lower-*.f32
3 742×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04765588
115745513
250575428
082074922
Stop Event
1×iter limit
1×node limit
Counts
456 → 450
Calls
Call 1
Inputs
(* -1 z)
(+ (* -1 z) (* 1/2 (* (pow y 2) z)))
(+ (* -1 z) (* (pow y 2) (+ (* -1/24 (* (pow y 2) z)) (* 1/2 z))))
(+ (* -1 z) (* (pow y 2) (+ (* 1/2 z) (* (pow y 2) (+ (* -1/24 z) (* 1/720 (* (pow y 2) z)))))))
(* -1 (* z (cos y)))
(* -1 (* z (cos y)))
(* -1 (* z (cos y)))
(* -1 (* z (cos y)))
(* -1 (* z (cos y)))
(* -1 (* z (cos y)))
(* -1 (* z (cos y)))
(* -1 (* z (cos y)))
(* -1 (* z (cos y)))
(* -1 (* z (cos y)))
(* -1 (* z (cos y)))
(* -1 (* z (cos y)))
(* -1 (* z (cos y)))
(* -1 (* z (cos y)))
(* -1 (* z (cos y)))
(* -1 (* z (cos y)))
(* -1 (* z (cos y)))
(* -1 (* z (cos y)))
(* -1 (* z (cos y)))
(* -1 (* z (cos y)))
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)))
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(* 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)))))
(* 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
(+ 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)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(sin y)
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(/ (* z (cos y)) x)
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(/ (* z (cos y)) x)
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(/ z x)
(+ y (/ z x))
(+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x))
(+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z 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))
(/ (* z (cos y)) x)
(/ (+ (* x (sin y)) (* z (cos y))) x)
(/ (+ (* x (sin y)) (* z (cos y))) x)
(/ (+ (* x (sin y)) (* z (cos y))) x)
(sin y)
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(sin y)
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(/ 1 x)
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(* 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))
1/120
(+ 1/120 (* -1/5040 (pow y 2)))
(+ 1/120 (* -1/5040 (pow y 2)))
(+ 1/120 (* -1/5040 (pow y 2)))
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
Outputs
(* -1 z)
(neg.f64 z)
(+ (* -1 z) (* 1/2 (* (pow y 2) z)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)))
(+ (* -1 z) (* (pow y 2) (+ (* -1/24 (* (pow y 2) z)) (* 1/2 z))))
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (neg.f64 z))
(+ (* -1 z) (* (pow y 2) (+ (* 1/2 z) (* (pow y 2) (+ (* -1/24 z) (* 1/720 (* (pow y 2) z)))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y 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))) (neg.f64 z))
(* -1 (* z (cos y)))
(neg.f64 (*.f64 z (cos.f64 y)))
(* -1 (* z (cos y)))
(neg.f64 (*.f64 z (cos.f64 y)))
(* -1 (* z (cos y)))
(neg.f64 (*.f64 z (cos.f64 y)))
(* -1 (* z (cos y)))
(neg.f64 (*.f64 z (cos.f64 y)))
(* -1 (* z (cos y)))
(neg.f64 (*.f64 z (cos.f64 y)))
(* -1 (* z (cos y)))
(neg.f64 (*.f64 z (cos.f64 y)))
(* -1 (* z (cos y)))
(neg.f64 (*.f64 z (cos.f64 y)))
(* -1 (* z (cos y)))
(neg.f64 (*.f64 z (cos.f64 y)))
(* -1 (* z (cos y)))
(neg.f64 (*.f64 z (cos.f64 y)))
(* -1 (* z (cos y)))
(neg.f64 (*.f64 z (cos.f64 y)))
(* -1 (* z (cos y)))
(neg.f64 (*.f64 z (cos.f64 y)))
(* -1 (* z (cos y)))
(neg.f64 (*.f64 z (cos.f64 y)))
(* -1 (* z (cos y)))
(neg.f64 (*.f64 z (cos.f64 y)))
(* -1 (* z (cos y)))
(neg.f64 (*.f64 z (cos.f64 y)))
(* -1 (* z (cos y)))
(neg.f64 (*.f64 z (cos.f64 y)))
(* -1 (* z (cos y)))
(neg.f64 (*.f64 z (cos.f64 y)))
(* -1 (* z (cos y)))
(neg.f64 (*.f64 z (cos.f64 y)))
(* -1 (* z (cos y)))
(neg.f64 (*.f64 z (cos.f64 y)))
(* -1 (* z (cos y)))
(neg.f64 (*.f64 z (cos.f64 y)))
(* -1 (* z (cos y)))
(neg.f64 (*.f64 z (cos.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 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)))
(* 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)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
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 y (*.f64 x #s(literal -1/6 binary64)))) x) z)
(* -1/6 (* x (pow y 3)))
(*.f64 (*.f64 y y) (*.f64 y (*.f64 x #s(literal -1/6 binary64))))
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(*.f64 y (*.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) (*.f64 x #s(literal -1/6 binary64))))))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) (fma.f64 x #s(literal -1/6 binary64) (/.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 z (/.f64 #s(literal -1/2 binary64) y) (fma.f64 x #s(literal -1/6 binary64) (/.f64 x (*.f64 y y)))) (/.f64 z (*.f64 y (*.f64 y y)))))
(* -1/6 (* x (pow y 3)))
(*.f64 (*.f64 y y) (*.f64 y (*.f64 x #s(literal -1/6 binary64))))
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))
(*.f64 y (*.f64 y (*.f64 y (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))))
(*.f64 (fma.f64 x #s(literal 1/6 binary64) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y)) (neg.f64 y))) (neg.f64 (*.f64 y (*.f64 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 x (/.f64 z y)) y)) y)) (neg.f64 (*.f64 y (*.f64 y y))))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 y (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(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)
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(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)
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(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)
(* z (+ 1 (* -1/2 (pow y 2))))
(fma.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))) z)
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(*.f64 z (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x) z)) #s(literal 1 binary64)))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(*.f64 z (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x) z)) #s(literal 1 binary64)))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(*.f64 z (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x) z)) #s(literal 1 binary64)))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(neg.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64))))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(*.f64 (neg.f64 z) (fma.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x) z)) #s(literal -1 binary64)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(*.f64 (neg.f64 z) (fma.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x) z)) #s(literal -1 binary64)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(*.f64 (neg.f64 z) (fma.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x) z)) #s(literal -1 binary64)))
(+ z (* -1/2 (* (pow y 2) z)))
(fma.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))) z)
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))
(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)
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))
(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)
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))
(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 (* y (+ 1 (* -1/6 (pow y 2)))))
(*.f64 y (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))
(*.f64 x (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 z x))))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))
(*.f64 x (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 z x))))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))
(*.f64 x (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 z x))))
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(neg.f64 (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
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(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(* x y)
(*.f64 y x)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 y (fma.f64 y (*.f64 y (*.f64 x #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 (*.f64 y x)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.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))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* -1/5040 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))
(* -1/5040 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))

eval233.0ms (2.3%)

Memory
9.6MiB live, 278.0MiB allocated
Compiler

Compiled 28 222 to 2 054 computations (92.7% saved)

prune274.0ms (2.7%)

Memory
6.6MiB live, 320.7MiB allocated
Pruning

51 alts after pruning (42 fresh and 9 done)

PrunedKeptTotal
New89615911
Fresh52732
Picked235
Done066
Total90351954
Accuracy
100.0%
Counts
954 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.7%
(fma.f64 (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) x (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z))
75.1%
(fma.f64 (/.f64 (cos.f64 y) x) (*.f64 z x) (*.f64 (sin.f64 y) x))
99.6%
(fma.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) (*.f64 (sin.f64 y) x))
37.5%
(fma.f64 (*.f64 z y) (*.f64 y #s(literal -1/2 binary64)) z)
49.4%
(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)))))))
57.1%
(fma.f64 (sin.f64 y) x (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))
59.1%
(fma.f64 (sin.f64 y) x (fma.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))) z))
✓99.8%
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
76.9%
(fma.f64 (sin.f64 y) x z)
✓99.8%
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
✓51.2%
(fma.f64 z (fma.f64 x (/.f64 (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) z) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
68.1%
(fma.f64 z (/.f64 (*.f64 x (sin.f64 y)) z) z)
54.5%
(fma.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) z)
54.5%
(fma.f64 y (fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x) z)
54.0%
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
37.8%
(fma.f64 y (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))) z)
54.5%
(fma.f64 y (neg.f64 (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) z)
✓55.6%
(fma.f64 y x z)
66.6%
(fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) (/.f64 #s(literal -1 binary64) z)) (*.f64 y x))
38.0%
(/.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))))
27.6%
(/.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 z z)) (-.f64 (*.f64 (sin.f64 y) x) z))
21.6%
(/.f64 (*.f64 (fma.f64 z z (*.f64 (*.f64 y x) (fma.f64 y x (neg.f64 z)))) (fma.f64 y x z)) (fma.f64 z (-.f64 z (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x)))))
48.6%
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) x) (fma.f64 z (/.f64 (cos.f64 y) x) (neg.f64 (sin.f64 y))))
15.6%
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z z)) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z z)) (fma.f64 y x (neg.f64 z))))
34.1%
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) z)))
61.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
✓39.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
28.7%
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 y x))) (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 z (*.f64 y x))))
53.8%
(+.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
33.5%
(*.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))
3.1%
(*.f64 (*.f64 y y) (*.f64 y (*.f64 x #s(literal -1/6 binary64))))
90.9%
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
2.9%
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
61.5%
(*.f64 z (cos.f64 y))
18.5%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
43.4%
(*.f64 y (+.f64 x (/.f64 z y)))
18.7%
(*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
90.1%
(*.f64 x (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 (neg.f64 z) x) (sin.f64 y)))
90.0%
(*.f64 x (fma.f64 (cos.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) x) z) (sin.f64 y)))
✓90.0%
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
18.6%
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
54.0%
(*.f64 x (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 z (/.f64 (cos.f64 y) x) (neg.f64 (sin.f64 y)))))
51.9%
(*.f64 x (/.f64 (*.f64 z (cos.f64 y)) x))
33.9%
(*.f64 x (/.f64 z x))
51.8%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) z) x)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))))
49.5%
(*.f64 x (+.f64 y (/.f64 z x)))
53.9%
(*.f64 x (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (cos.f64 y) x) (neg.f64 (sin.f64 y))))))
✓39.0%
(*.f64 x (sin.f64 y))
✓18.8%
(*.f64 x y)
18.6%
(neg.f64 (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
✓40.0%
z
Compiler

Compiled 2 098 to 784 computations (62.6% saved)

regimes116.0ms (1.1%)

Memory
-16.2MiB live, 212.6MiB allocated
Counts
71 → 1
Calls
Call 1
Inputs
z
(*.f64 x y)
(fma.f64 y x z)
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(*.f64 x (/.f64 z x))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 (*.f64 z y) (*.f64 y #s(literal -1/2 binary64)) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 (*.f64 y y) (*.f64 y (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
(fma.f64 y (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 y (fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x) z)
(neg.f64 (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(fma.f64 y (neg.f64 (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) 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)
(*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(fma.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) z)
(*.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(+.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(fma.f64 (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) x (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 y x))) (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 z (*.f64 y x))))
(+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(+.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(fma.f64 z (fma.f64 x (/.f64 (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) z) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
(/.f64 (*.f64 (fma.f64 z z (*.f64 (*.f64 y x) (fma.f64 y x (neg.f64 z)))) (fma.f64 y x z)) (fma.f64 z (-.f64 z (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z z)) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z z)) (fma.f64 y x (neg.f64 z))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(fma.f64 (sin.f64 y) x z)
(fma.f64 (sin.f64 y) x (*.f64 z #s(literal 1 binary64)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(literal 1 binary64)))
(*.f64 x (/.f64 (*.f64 z (cos.f64 y)) x))
(fma.f64 z (/.f64 (*.f64 x (sin.f64 y)) z) z)
(fma.f64 (sin.f64 y) x (fma.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))) z))
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1 binary64) (*.f64 x (sin.f64 y)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) (/.f64 #s(literal -1 binary64) z)) (*.f64 y x))
(fma.f64 (sin.f64 y) x (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 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 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(*.f64 x (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 (neg.f64 z) x) (sin.f64 y)))
(*.f64 x (fma.f64 (cos.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) x) z) (sin.f64 y)))
(fma.f64 (/.f64 (cos.f64 y) x) (*.f64 z x) (*.f64 (sin.f64 y) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) (/.f64 #s(literal -1 binary64) z)) (*.f64 (sin.f64 y) x))
(fma.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) 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 z z)) (-.f64 (*.f64 (sin.f64 y) x) z))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.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))))
(*.f64 x (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 z (/.f64 (cos.f64 y) x) (neg.f64 (sin.f64 y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) x) (fma.f64 z (/.f64 (cos.f64 y) x) (neg.f64 (sin.f64 y))))
(*.f64 x (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (cos.f64 y) x) (neg.f64 (sin.f64 y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (/.f64 z (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 z (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x))
(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)))))))
(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)))))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z z))) (/.f64 (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) z) x)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 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 (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))))))))
Outputs
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
Calls

4 calls:

37.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
33.0ms
z
22.0ms
x
21.0ms
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)

regimes70.0ms (0.7%)

Memory
8.9MiB live, 124.2MiB allocated
Counts
48 → 1
Calls
Call 1
Inputs
z
(*.f64 x y)
(fma.f64 y x z)
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(*.f64 x (/.f64 z x))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 (*.f64 z y) (*.f64 y #s(literal -1/2 binary64)) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 (*.f64 y y) (*.f64 y (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
(fma.f64 y (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 y (fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x) z)
(neg.f64 (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(fma.f64 y (neg.f64 (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) 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)
(*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(fma.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) z)
(*.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(+.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(fma.f64 (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) x (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 y x))) (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 z (*.f64 y x))))
(+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(+.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(fma.f64 z (fma.f64 x (/.f64 (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) z) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
(/.f64 (*.f64 (fma.f64 z z (*.f64 (*.f64 y x) (fma.f64 y x (neg.f64 z)))) (fma.f64 y x z)) (fma.f64 z (-.f64 z (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z z)) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z z)) (fma.f64 y x (neg.f64 z))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(fma.f64 (sin.f64 y) x z)
(fma.f64 (sin.f64 y) x (*.f64 z #s(literal 1 binary64)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(literal 1 binary64)))
(*.f64 x (/.f64 (*.f64 z (cos.f64 y)) x))
(fma.f64 z (/.f64 (*.f64 x (sin.f64 y)) z) z)
(fma.f64 (sin.f64 y) x (fma.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))) z))
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1 binary64) (*.f64 x (sin.f64 y)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) (/.f64 #s(literal -1 binary64) z)) (*.f64 y x))
(fma.f64 (sin.f64 y) x (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 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 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
Outputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
Calls

4 calls:

27.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
14.0ms
y
14.0ms
z
13.0ms
x
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)

regimes198.0ms (1.9%)

Memory
-4.3MiB live, 112.3MiB allocated
Counts
46 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(fma.f64 y x z)
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(*.f64 x (/.f64 z x))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 (*.f64 z y) (*.f64 y #s(literal -1/2 binary64)) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 (*.f64 y y) (*.f64 y (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
(fma.f64 y (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 y (fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x) z)
(neg.f64 (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(fma.f64 y (neg.f64 (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) 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)
(*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(fma.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) z)
(*.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(+.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(fma.f64 (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) x (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 y x))) (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 z (*.f64 y x))))
(+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(+.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(fma.f64 z (fma.f64 x (/.f64 (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) z) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
(/.f64 (*.f64 (fma.f64 z z (*.f64 (*.f64 y x) (fma.f64 y x (neg.f64 z)))) (fma.f64 y x z)) (fma.f64 z (-.f64 z (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z z)) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z z)) (fma.f64 y x (neg.f64 z))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(fma.f64 (sin.f64 y) x z)
(fma.f64 (sin.f64 y) x (*.f64 z #s(literal 1 binary64)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(literal 1 binary64)))
(*.f64 x (/.f64 (*.f64 z (cos.f64 y)) x))
(fma.f64 z (/.f64 (*.f64 x (sin.f64 y)) z) z)
(fma.f64 (sin.f64 y) x (fma.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))) z))
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1 binary64) (*.f64 x (sin.f64 y)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) (/.f64 #s(literal -1 binary64) z)) (*.f64 y x))
(fma.f64 (sin.f64 y) x (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 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))
Outputs
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(literal 1 binary64)))
(*.f64 z (cos.f64 y))
Calls

4 calls:

153.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
16.0ms
y
14.0ms
x
13.0ms
z
Results
AccuracySegmentsBranch
87.0%3x
80.1%2y
87.1%3z
76.9%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes13.0ms (0.1%)

Memory
-8.5MiB live, 29.7MiB allocated
Counts
36 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(fma.f64 y x z)
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(*.f64 x (/.f64 z x))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 (*.f64 z y) (*.f64 y #s(literal -1/2 binary64)) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 (*.f64 y y) (*.f64 y (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
(fma.f64 y (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 y (fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x) z)
(neg.f64 (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(fma.f64 y (neg.f64 (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) 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)
(*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(fma.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) z)
(*.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(+.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(fma.f64 (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) x (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 y x))) (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 z (*.f64 y x))))
(+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(+.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(fma.f64 z (fma.f64 x (/.f64 (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) z) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
(/.f64 (*.f64 (fma.f64 z z (*.f64 (*.f64 y x) (fma.f64 y x (neg.f64 z)))) (fma.f64 y x z)) (fma.f64 z (-.f64 z (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z z)) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z z)) (fma.f64 y x (neg.f64 z))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(fma.f64 (sin.f64 y) x z)
(fma.f64 (sin.f64 y) x (*.f64 z #s(literal 1 binary64)))
Outputs
(*.f64 z (cos.f64 y))
(fma.f64 (sin.f64 y) x z)
(*.f64 z (cos.f64 y))
Calls

1 calls:

11.0ms
z
Results
AccuracySegmentsBranch
87.1%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes44.0ms (0.4%)

Memory
1.1MiB live, 84.2MiB allocated
Counts
34 → 4
Calls
Call 1
Inputs
z
(*.f64 x y)
(fma.f64 y x z)
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(*.f64 x (/.f64 z x))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 (*.f64 z y) (*.f64 y #s(literal -1/2 binary64)) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 (*.f64 y y) (*.f64 y (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
(fma.f64 y (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 y (fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x) z)
(neg.f64 (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(fma.f64 y (neg.f64 (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) 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)
(*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(fma.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) z)
(*.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(+.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(fma.f64 (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) x (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 y x))) (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 z (*.f64 y x))))
(+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(+.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(fma.f64 z (fma.f64 x (/.f64 (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) z) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
(/.f64 (*.f64 (fma.f64 z z (*.f64 (*.f64 y x) (fma.f64 y x (neg.f64 z)))) (fma.f64 y x z)) (fma.f64 z (-.f64 z (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z z)) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z z)) (fma.f64 y x (neg.f64 z))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
Outputs
(*.f64 z (cos.f64 y))
(fma.f64 (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) x (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z))
(*.f64 z (cos.f64 y))
(*.f64 x (sin.f64 y))
Calls

4 calls:

13.0ms
x
10.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
9.0ms
z
9.0ms
y
Results
AccuracySegmentsBranch
65.5%3(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
81.1%4y
77.1%3x
76.8%4z
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes30.0ms (0.3%)

Memory
20.6MiB live, 59.5MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(fma.f64 y x z)
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(*.f64 x (/.f64 z x))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 (*.f64 z y) (*.f64 y #s(literal -1/2 binary64)) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 (*.f64 y y) (*.f64 y (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
(fma.f64 y (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 y (fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x) z)
(neg.f64 (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(fma.f64 y (neg.f64 (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) 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)
(*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(fma.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) z)
(*.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(+.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(fma.f64 (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) x (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 y x))) (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 z (*.f64 y x))))
(+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(+.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(fma.f64 z (fma.f64 x (/.f64 (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) z) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
(/.f64 (*.f64 (fma.f64 z z (*.f64 (*.f64 y x) (fma.f64 y x (neg.f64 z)))) (fma.f64 y x z)) (fma.f64 z (-.f64 z (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z z)) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z z)) (fma.f64 y x (neg.f64 z))))
(*.f64 x (sin.f64 y))
Outputs
(*.f64 x (sin.f64 y))
(fma.f64 (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) x (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z))
(*.f64 x (sin.f64 y))
Calls

3 calls:

10.0ms
x
9.0ms
z
9.0ms
y
Results
AccuracySegmentsBranch
61.8%3z
62.3%3x
74.7%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes39.0ms (0.4%)

Memory
-5.7MiB live, 75.9MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
z
(*.f64 x y)
(fma.f64 y x z)
(*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(*.f64 x (/.f64 z x))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z)
(fma.f64 (*.f64 z y) (*.f64 y #s(literal -1/2 binary64)) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 (*.f64 y y) (*.f64 y (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))
(fma.f64 y (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 y (fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x) z)
(neg.f64 (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(fma.f64 y (neg.f64 (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) 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)
(*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(fma.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) z)
(*.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(+.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(fma.f64 (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) x (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 y x))) (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 z (*.f64 y x))))
(+.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y) y)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(+.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))
(fma.f64 z (fma.f64 x (/.f64 (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) z) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
(/.f64 (*.f64 (fma.f64 z z (*.f64 (*.f64 y x) (fma.f64 y x (neg.f64 z)))) (fma.f64 y x z)) (fma.f64 z (-.f64 z (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z z)) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z z)) (fma.f64 y x (neg.f64 z))))
Outputs
(fma.f64 y x z)
Calls

4 calls:

10.0ms
x
10.0ms
y
9.0ms
z
9.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Results
AccuracySegmentsBranch
55.6%1z
55.6%1x
55.6%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
55.6%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory
-19.5MiB live, 20.0MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
z
(*.f64 x y)
Outputs
(*.f64 x y)
z
Calls

4 calls:

2.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
2.0ms
z
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
44.8%2x
40.0%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
43.6%3z
40.0%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes4.0ms (0%)

Memory
9.0MiB live, 9.0MiB 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
z
1.0ms
y
Results
AccuracySegmentsBranch
40.0%1y
40.0%1z
40.0%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch35.0ms (0.3%)

Memory
-12.8MiB live, 64.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
6.54453784051329e-67
1.1595759794137037e-64
18.0ms
-1.374793149108438e+30
-2.08108606723987e+25
Samples
22.0ms256×0valid
Compiler

Compiled 335 to 254 computations (24.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sin: 6.0ms (38.6% of total)
ival-cos: 5.0ms (32.2% of total)
ival-mult: 3.0ms (19.3% of total)
ival-add: 1.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
6.54453784051329e-67
1.1595759794137037e-64
1.0ms
-1.374793149108438e+30
-2.08108606723987e+25
Compiler

Compiled 287 to 206 computations (28.2% saved)

bsearch70.0ms (0.7%)

Memory
23.5MiB live, 113.9MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
6.5135351284878e+101
2.3214599113815443e+109
18.0ms
0.05697368627319835
986002768.7319077
27.0ms
-168601.82275955408
-3.155191205944546e-9
Samples
37.0ms464×0valid
Compiler

Compiled 959 to 562 computations (41.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-sin: 10.0ms (38.4% of total)
ival-cos: 8.0ms (30.7% of total)
ival-mult: 5.0ms (19.2% of total)
ival-add: 2.0ms (7.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch44.0ms (0.4%)

Memory
-35.8MiB live, 42.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
43769456052143220.0
6.588739570910226e+24
8.0ms
-168601.82275955408
-3.155191205944546e-9
Samples
18.0ms192×0valid
Compiler

Compiled 775 to 432 computations (44.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sin: 5.0ms (37.9% of total)
ival-cos: 4.0ms (30.3% of total)
ival-mult: 2.0ms (15.2% of total)
ival-add: 1.0ms (7.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Memory
32.1MiB live, 32.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
-4.38077256805297e+140
-9.91935575045086e+136
Samples
10.0ms128×0valid
Compiler

Compiled 111 to 86 computations (22.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sin: 3.0ms (43.6% of total)
ival-cos: 2.0ms (29.1% of total)
ival-add: 1.0ms (14.5% of total)
ival-mult: 1.0ms (14.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Memory
-24.8MiB live, 16.0MiB allocated
Algorithm
1×egg-herbie
Rules
12×*-commutative_binary64
2×+-commutative_binary64
2×1-exp_binary64
2×*-rgt-identity_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053168
164168
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(if (<=.f64 z #s(literal -5200000000000000179046449152 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 3408919107146589/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(literal 1 binary64))) (*.f64 z (cos.f64 y))))
(if (<=.f64 z #s(literal -5200000000000000179046449152 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 3408919107146589/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) (fma.f64 (sin.f64 y) x z) (*.f64 z (cos.f64 y))))
(if (<=.f64 y #s(literal -5764607523034235/18014398509481984 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 y #s(literal 607985949695017/2251799813685248 binary64)) (fma.f64 (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) x (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z)) (if (<=.f64 y #s(literal 36999999999999999497963609828108531476989989843674496616928244321632464504133082589645996810564223356633088 binary64)) (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(if (<=.f64 y #s(literal -3512807709348987/9007199254740992 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 45000000000000000 binary64)) (fma.f64 (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) x (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z)) (*.f64 x (sin.f64 y))))
(fma.f64 y x z)
(if (<=.f64 x #s(literal -59999999999999999326269874191301168931559521850492542417120073718399943275332098635016913992418261460280128528198206744354061337959256293376 binary64)) (*.f64 x y) z)
z
Outputs
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(if (<=.f64 z #s(literal -5200000000000000179046449152 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 3408919107146589/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(literal 1 binary64))) (*.f64 z (cos.f64 y))))
(if (<=.f64 z #s(literal -5200000000000000179046449152 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 3408919107146589/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) (+.f64 z (*.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y))))
(if (<=.f64 z #s(literal -5200000000000000179046449152 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 3408919107146589/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) (fma.f64 (sin.f64 y) x z) (*.f64 z (cos.f64 y))))
(if (<=.f64 y #s(literal -5764607523034235/18014398509481984 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 y #s(literal 607985949695017/2251799813685248 binary64)) (fma.f64 (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) x (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z)) (if (<=.f64 y #s(literal 36999999999999999497963609828108531476989989843674496616928244321632464504133082589645996810564223356633088 binary64)) (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(if (<=.f64 y #s(literal -5764607523034235/18014398509481984 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 y #s(literal 607985949695017/2251799813685248 binary64)) (fma.f64 (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) x (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z)) (if (<=.f64 y #s(literal 36999999999999999497963609828108531476989989843674496616928244321632464504133082589645996810564223356633088 binary64)) (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))
(if (<=.f64 y #s(literal -3512807709348987/9007199254740992 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 45000000000000000 binary64)) (fma.f64 (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) x (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z)) (*.f64 x (sin.f64 y))))
(if (<=.f64 y #s(literal -3512807709348987/9007199254740992 binary64)) (*.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 45000000000000000 binary64)) (fma.f64 (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) x (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z)) (*.f64 (sin.f64 y) x)))
(fma.f64 y x z)
(if (<=.f64 x #s(literal -59999999999999999326269874191301168931559521850492542417120073718399943275332098635016913992418261460280128528198206744354061337959256293376 binary64)) (*.f64 x y) z)
(if (<=.f64 x #s(literal -59999999999999999326269874191301168931559521850492542417120073718399943275332098635016913992418261460280128528198206744354061337959256293376 binary64)) (*.f64 y x) z)
z

soundness1.5s (15%)

Memory
40.2MiB live, 988.7MiB allocated
Rules
12 858×lower-fma.f64
12 858×lower-fma.f32
11 480×lower-fma.f64
11 480×lower-fma.f32
10 718×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03343244
111083201
237923138
087352914
0821
01321
12921
218521
3183621
0839120
0109682
1344678
2991668
32652662
44669662
56964662
08196606
029142
056131
1230128
21597128
08093121
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×iter limit
1×node limit
Compiler

Compiled 398 to 204 computations (48.7% saved)

preprocess108.0ms (1%)

Memory
-15.3MiB live, 223.0MiB allocated
Compiler

Compiled 366 to 118 computations (67.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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