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

Time bar (total: 5.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB 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)

sample1.0s (20.3%)

Memory
21.1MiB live, 941.0MiB allocated
Samples
804.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 567.0ms
ival-cos: 190.0ms (33.5% of total)
ival-sin: 180.0ms (31.7% of total)
ival-mult: 153.0ms (27% of total)
ival-sub: 35.0ms (6.2% of total)
ival-true: 6.0ms (1.1% of total)
ival-assert: 4.0ms (0.7% of total)
Bogosity

explain121.0ms (2.4%)

Memory
-28.4MiB live, 73.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
00-0-(sin.f64 y)
00-0-y
00-0-(*.f64 x (cos.f64 y))
00-0-z
00-0-(cos.f64 y)
00-0-x
00-0-(*.f64 z (sin.f64 y))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
47.0ms512×0valid
Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-cos: 10.0ms (33.9% of total)
ival-sin: 10.0ms (33.9% of total)
ival-mult: 6.0ms (20.3% of total)
ival-sub: 2.0ms (6.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess114.0ms (2.2%)

Memory
22.0MiB live, 80.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03587
17984
214684
324584
445184
5100184
6245684
7537784
089
0139
1259
2419
3689
41069
52229
65549
714209
831259
967399
081779
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify62.0ms (1.2%)

Memory
8.1MiB live, 39.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff0
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01324
12524
24124
36824
410624
522224
655424
7142024
8312524
9673924
0817724
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
z
(sin.f64 y)

localize92.0ms (1.8%)

Memory
-32.0MiB live, 17.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 y)
accuracy0.01953125
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy0.1015625
(*.f64 x (cos.f64 y))
accuracy0.1328125
(*.f64 z (sin.f64 y))
Samples
71.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-cos: 55.0ms (85.8% of total)
ival-sin: 5.0ms (7.8% of total)
ival-mult: 3.0ms (4.7% of total)
ival-sub: 1.0ms (1.6% of total)
ival-true: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
7.9MiB live, 7.9MiB allocated
Counts
4 → 25
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))
Outputs
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 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)))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(cos y)
(* z (sin y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
Calls

9 calls:

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

simplify164.0ms (3.2%)

Memory
-7.6MiB live, 81.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097265
1344258
21199252
34495246
08267227
Stop Event
1×iter limit
1×node limit
Counts
25 → 24
Calls
Call 1
Inputs
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 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)))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(cos y)
(* z (sin y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
Outputs
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
x
(+ x (* -1 (* y z)))
(fma.f64 (neg.f64 z) y x)
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)
(+ x (* -1/2 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64) (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)))) (*.f64 y y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 z (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)) y))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 z y))
(cos y)
(cos.f64 y)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)

rewrite175.0ms (3.4%)

Memory
17.7MiB live, 87.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
01319
13819
223919
3244519
0836119
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 192
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) (-.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64))))
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))))
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(fma.f64 x (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 x (*.f64 #s(literal 1 binary64) (cos.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 x) (cos.f64 y))))
(fabs.f64 (*.f64 (neg.f64 x) (cos.f64 y)))
(fabs.f64 (*.f64 (cos.f64 y) x))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(+.f64 (cosh.f64 (log.f64 (*.f64 (cos.f64 y) x))) (sinh.f64 (log.f64 (*.f64 (cos.f64 y) x))))
(+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) x) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) x))
(+.f64 (*.f64 x (*.f64 #s(literal 0 binary64) (sin.f64 y))) (*.f64 x (*.f64 #s(literal 1 binary64) (cos.f64 y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (cos.f64 y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y)))))))
(/.f64 (fma.f64 (-.f64 (cos.f64 y) (neg.f64 (cos.f64 y))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 (cos.f64 y)) (cos.f64 y)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 (neg.f64 (cos.f64 y)) (cos.f64 y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 y) (neg.f64 (cos.f64 y))))) #s(literal 4 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y)))
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))))))
(fma.f64 (sin.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (*.f64 (cos.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y))))))
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 y)))
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))))
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 #s(literal 0 binary64) (sin.f64 y)))
(fma.f64 #s(literal 0 binary64) (sin.f64 y) (*.f64 #s(literal 1 binary64) (cos.f64 y)))
(fma.f64 (sin.f64 y) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 y)))
(fma.f64 (cos.f64 y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))))
(fma.f64 (cos.f64 y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 y)))
(sin.f64 (+.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))
(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 y))
(cos.f64 y)
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y))))) (*.f64 (cos.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y))))))
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 y)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y)))
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 (sin.f64 y))) (fabs.f64 (fabs.f64 z)))
(*.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 z))) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 z)))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 z) (sin.f64 y))) (sqrt.f64 (*.f64 (neg.f64 z) (sin.f64 y))))
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (*.f64 (sin.f64 y) (*.f64 (neg.f64 z) (sin.f64 y)))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z)) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) (sin.f64 y)))))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (sin.f64 y))))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (sin.f64 y)) (fabs.f64 z))
(*.f64 (fabs.f64 z) (fabs.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 z) (sin.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (neg.f64 z) (sin.f64 y)))
(fabs.f64 (*.f64 (sin.f64 y) z))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(+.f64 (cosh.f64 (log.f64 (*.f64 (sin.f64 y) z))) (sinh.f64 (log.f64 (*.f64 (sin.f64 y) z))))

eval27.0ms (0.5%)

Memory
3.9MiB live, 32.4MiB allocated
Compiler

Compiled 6 250 to 698 computations (88.8% saved)

prune16.0ms (0.3%)

Memory
-1.5MiB live, 27.1MiB allocated
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New19617213
Fresh000
Picked011
Done000
Total19618214
Accuracy
100.0%
Counts
214 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.4%
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
42.1%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (neg.f64 z) (sin.f64 y)))
50.1%
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y)))
▶57.2%
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
99.8%
(-.f64 (*.f64 x (/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))))))) (*.f64 z (sin.f64 y)))
▶99.8%
(-.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
38.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 z))))
✓99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
68.5%
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
60.2%
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 z (sin.f64 y)))
▶75.1%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
26.0%
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))))
52.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
52.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
▶54.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
▶92.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
87.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z))
37.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
Compiler

Compiled 777 to 498 computations (35.9% saved)

simplify148.0ms (2.9%)

Memory
-8.1MiB live, 118.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (cos.f64 y) x)
cost-diff0
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
cost-diff0
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))
cost-diff0
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
cost-diff0
(/.f64 (sin.f64 y) x)
cost-diff0
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y))
cost-diff0
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
#s(approx (cos y) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
cost-diff0
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
cost-diff0
(neg.f64 z)
cost-diff0
(fma.f64 (neg.f64 z) y x)
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
cost-diff2
(*.f64 #s(literal 1 binary64) (cos.f64 y))
cost-diff2
(pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64))
cost-diff3
(*.f64 #s(literal 0 binary64) (sin.f64 y))
cost-diff7
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040291
069251
1130247
2288241
3961226
43517226
08662226
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(*.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y))))
x
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y)))
(-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64))
(*.f64 #s(literal 0 binary64) (sin.f64 y))
#s(literal 0 binary64)
(sin.f64 y)
y
#s(literal 2 binary64)
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 y))
#s(literal 1 binary64)
(cos.f64 y)
(neg.f64 (cos.f64 y))
(*.f64 z (sin.f64 y))
z
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
(fma.f64 (neg.f64 z) y x)
(neg.f64 z)
z
y
x
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y))
(/.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(neg.f64 z)
z
(cos.f64 y)
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
(*.f64 (cos.f64 y) x)
(cos.f64 y)
y
x
#s(literal 2 binary64)
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(*.f64 (sin.f64 y) z)
(sin.f64 y)
z
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
Outputs
(-.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y))))
(*.f64 (cos.f64 y) x)
x
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y)))
(cos.f64 y)
(-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64))
#s(literal 0 binary64)
(*.f64 #s(literal 0 binary64) (sin.f64 y))
#s(literal 0 binary64)
#s(literal 0 binary64)
(sin.f64 y)
y
#s(literal 2 binary64)
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 y))
(cos.f64 y)
#s(literal 1 binary64)
(cos.f64 y)
(neg.f64 (cos.f64 y))
(*.f64 z (sin.f64 y))
z
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
(fma.f64 (neg.f64 z) y x)
(neg.f64 z)
z
y
x
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y)) x))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
(*.f64 (fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y)) x)
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y))
(fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y))
(/.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(neg.f64 z)
z
(cos.f64 y)
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
(*.f64 (cos.f64 y) x)
(cos.f64 y)
y
x
#s(literal 2 binary64)
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(sin.f64 y)
z
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))

localize127.0ms (2.5%)

Memory
-16.1MiB live, 153.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.1328125
(*.f64 (sin.f64 y) z)
accuracy0.25294877930532605
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy1.5507750574906176
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))
accuracy27.373310501018288
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
accuracy0.0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
accuracy0.08984375
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y))
accuracy0.13671875
(/.f64 (sin.f64 y) x)
accuracy4.6322086211547155
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
accuracy0.01953125
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
accuracy0.1015625
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
accuracy0.1328125
(*.f64 z (sin.f64 y))
accuracy27.489713228020282
#s(approx (cos y) #s(literal 1 binary64))
accuracy0.0
(fma.f64 (neg.f64 z) y x)
accuracy0.0
(neg.f64 z)
accuracy29.466770985007134
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
accuracy0.1015625
(*.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y))))
accuracy0.1328125
(*.f64 z (sin.f64 y))
accuracy0.23046875
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))
accuracy0.2578125
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y)))
Samples
98.0ms256×0valid
Compiler

Compiled 274 to 36 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-sub: 24.0ms (30.8% of total)
ival-mult: 16.0ms (20.6% of total)
ival-pow2: 16.0ms (20.6% of total)
ival-sin: 6.0ms (7.7% of total)
ival-div: 5.0ms (6.4% of total)
ival-cos: 5.0ms (6.4% of total)
ival-add: 3.0ms (3.9% of total)
ival-neg: 2.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series33.0ms (0.6%)

Memory
16.7MiB live, 16.7MiB allocated
Counts
23 → 76
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y)))
(*.f64 #s(literal 0 binary64) (sin.f64 y))
(pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 y))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
(fma.f64 (neg.f64 z) y x)
(neg.f64 z)
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
#s(approx (cos y) #s(literal 1 binary64))
(*.f64 z (sin.f64 y))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y))
(/.f64 (sin.f64 y) x)
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
(*.f64 (cos.f64 y) x)
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))
(*.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y))))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(*.f64 (sin.f64 y) z)
Outputs
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* -1 (* y z))
(+ x (* -1 (* y z)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (/ (* z (sin y)) x))
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)
(/ (sin y) x)
(* -1 (* (pow z 2) (pow (sin y) 2)))
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2)))
(* (pow x 2) (pow (cos y) 2))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (- (/ (* y z) x) 1)))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
0
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y))))
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2)))))
(/ y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z)))
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) x)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z)))
(pow x 2)
(+ (* (pow y 2) (- (* -1 (pow x 2)) (pow z 2))) (pow x 2))
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (* 1/3 (pow x 2)) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2))
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (+ (* 1/3 (pow x 2)) (* (pow y 2) (- (* -2/45 (pow x 2)) (* 2/45 (pow z 2))))) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2))
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* 1/3 (* (pow x 2) (pow y 2))))) (pow x 2))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -2/45 (* (pow x 2) (pow y 2))) (* 1/3 (pow x 2)))))) (pow x 2))
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(* y (+ (* -1 z) (/ x y)))
(* z (sin y))
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* x (cos y)) (* z (sin y))))
(pow (cos y) 2)
(* (pow z 2) (pow (sin y) 2))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 z)
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
Calls

9 calls:

TimeVariablePointExpression
6.0ms
y
@inf
((/ (- (pow (* 0 (sin y)) 2) (pow (* 1 (cos y)) 2)) (neg (cos y))) (* 0 (sin y)) (pow (* 0 (sin y)) 2) (* 1 (cos y)) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (neg z) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (* (cos y) x) 2) (* (cos y) x) (pow (* 1 (cos y)) 2) (* x (/ (- (pow (* 0 (sin y)) 2) (pow (* 1 (cos y)) 2)) (neg (cos y)))) (pow (* (sin y) z) 2) (* (sin y) z))
4.0ms
x
@0
((/ (- (pow (* 0 (sin y)) 2) (pow (* 1 (cos y)) 2)) (neg (cos y))) (* 0 (sin y)) (pow (* 0 (sin y)) 2) (* 1 (cos y)) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (neg z) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (* (cos y) x) 2) (* (cos y) x) (pow (* 1 (cos y)) 2) (* x (/ (- (pow (* 0 (sin y)) 2) (pow (* 1 (cos y)) 2)) (neg (cos y)))) (pow (* (sin y) z) 2) (* (sin y) z))
4.0ms
y
@-inf
((/ (- (pow (* 0 (sin y)) 2) (pow (* 1 (cos y)) 2)) (neg (cos y))) (* 0 (sin y)) (pow (* 0 (sin y)) 2) (* 1 (cos y)) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (neg z) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (* (cos y) x) 2) (* (cos y) x) (pow (* 1 (cos y)) 2) (* x (/ (- (pow (* 0 (sin y)) 2) (pow (* 1 (cos y)) 2)) (neg (cos y)))) (pow (* (sin y) z) 2) (* (sin y) z))
3.0ms
x
@-inf
((/ (- (pow (* 0 (sin y)) 2) (pow (* 1 (cos y)) 2)) (neg (cos y))) (* 0 (sin y)) (pow (* 0 (sin y)) 2) (* 1 (cos y)) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (neg z) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (* (cos y) x) 2) (* (cos y) x) (pow (* 1 (cos y)) 2) (* x (/ (- (pow (* 0 (sin y)) 2) (pow (* 1 (cos y)) 2)) (neg (cos y)))) (pow (* (sin y) z) 2) (* (sin y) z))
3.0ms
x
@inf
((/ (- (pow (* 0 (sin y)) 2) (pow (* 1 (cos y)) 2)) (neg (cos y))) (* 0 (sin y)) (pow (* 0 (sin y)) 2) (* 1 (cos y)) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (neg z) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (* (cos y) x) 2) (* (cos y) x) (pow (* 1 (cos y)) 2) (* x (/ (- (pow (* 0 (sin y)) 2) (pow (* 1 (cos y)) 2)) (neg (cos y)))) (pow (* (sin y) z) 2) (* (sin y) z))

simplify150.0ms (2.9%)

Memory
-6.4MiB live, 79.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02841051
19871014
23667996
08089930
Stop Event
1×iter limit
1×node limit
Counts
76 → 75
Calls
Call 1
Inputs
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* -1 (* y z))
(+ x (* -1 (* y z)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (/ (* z (sin y)) x))
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)
(/ (sin y) x)
(* -1 (* (pow z 2) (pow (sin y) 2)))
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2)))
(* (pow x 2) (pow (cos y) 2))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (- (/ (* y z) x) 1)))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
0
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y))))
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2)))))
(/ y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z)))
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) x)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z)))
(pow x 2)
(+ (* (pow y 2) (- (* -1 (pow x 2)) (pow z 2))) (pow x 2))
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (* 1/3 (pow x 2)) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2))
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (+ (* 1/3 (pow x 2)) (* (pow y 2) (- (* -2/45 (pow x 2)) (* 2/45 (pow z 2))))) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2))
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* 1/3 (* (pow x 2) (pow y 2))))) (pow x 2))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -2/45 (* (pow x 2) (pow y 2))) (* 1/3 (pow x 2)))))) (pow x 2))
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(* y (+ (* -1 z) (/ x y)))
(* z (sin y))
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* x (cos y)) (* z (sin y))))
(pow (cos y) 2)
(* (pow z 2) (pow (sin y) 2))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 z)
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
Outputs
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -1 (/ (* z (sin y)) x))
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(* -1 (* (pow z 2) (pow (sin y) 2)))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z))
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2)))
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z)))
(* (pow x 2) (pow (cos y) 2))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x)
(cos y)
(cos.f64 y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2)))
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) x) (/.f64 (neg.f64 z) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
(* -1 (* x (- (/ (* y z) x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 z y) x) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
0
#s(literal 0 binary64)
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 (-.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) y x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) x x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 x y) y) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 z y))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x)
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)
(+ 1 (* -1 (/ (* y z) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2)))))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x)) #s(literal 1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))
(/ y x)
(/.f64 y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) y)
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) x) (*.f64 y y) (/.f64 #s(literal -1/6 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z)))
(fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) y) z) y x)
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) x)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z)))
(fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) (/.f64 z x) (*.f64 z #s(literal 1/3 binary64))) y x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) y) z) y x)
(pow x 2)
(*.f64 x x)
(+ (* (pow y 2) (- (* -1 (pow x 2)) (pow z 2))) (pow x 2))
(fma.f64 (neg.f64 (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 x x))
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (* 1/3 (pow x 2)) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (neg.f64 (fma.f64 x x (*.f64 z z)))) (*.f64 y y) (*.f64 x x))
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (+ (* 1/3 (pow x 2)) (* (pow y 2) (- (* -2/45 (pow x 2)) (* 2/45 (pow z 2))))) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2/45 binary64) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (fma.f64 x x (*.f64 z z)))) (*.f64 y y) (neg.f64 (fma.f64 x x (*.f64 z z)))) (*.f64 y y) (*.f64 x x))
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))
(*.f64 (+.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y)))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* 1/3 (* (pow x 2) (pow y 2))))) (pow x 2))
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x y) y) x) #s(literal 1/3 binary64) (*.f64 (neg.f64 x) x)) y) y (*.f64 x x))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -2/45 (* (pow x 2) (pow y 2))) (* 1/3 (pow x 2)))))) (pow x 2))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x y) y) x) #s(literal -2/45 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) y) y (*.f64 (neg.f64 x) x)) (*.f64 y y) (*.f64 x x))
(+ 1 (* -1 (pow y 2)))
(fma.f64 (neg.f64 y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 y y) #s(literal 1/3 binary64)) y) y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (pow z 2))
(*.f64 (*.f64 (*.f64 y y) z) z)
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 z z)) y) y)
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(*.f64 (fma.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 2/45 binary64) (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 y y) (*.f64 z z)) (*.f64 y y))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 z z) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/315 binary64) (*.f64 y y) #s(literal 2/45 binary64))))) (*.f64 y y))
(* y (+ (* -1 z) (/ x y)))
(*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* x (cos y)) (* z (sin y))))
(/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(* (pow z 2) (pow (sin y) 2))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
(* -1 (* y (+ z (* -1 (/ x y)))))
(*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y)
(* -1 z)
(neg.f64 z)
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2)))
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z)
(* z (+ (* -1 y) (/ x z)))
(*.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 x z)) z)
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z)
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) z) (/.f64 x z)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z)
(* -1 (* z (+ y (* -1 (/ x z)))))
(*.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 x z)) z)
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z)
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)

rewrite184.0ms (3.6%)

Memory
14.5MiB live, 111.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039203
067148
1270148
21606148
08445148
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 1 028
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y)))
(*.f64 #s(literal 0 binary64) (sin.f64 y))
(pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 y))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
(fma.f64 (neg.f64 z) y x)
(neg.f64 z)
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
#s(approx (cos y) #s(literal 1 binary64))
(*.f64 z (sin.f64 y))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y))
(/.f64 (sin.f64 y) x)
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
(*.f64 (cos.f64 y) x)
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))
(*.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y))))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(*.f64 (sin.f64 y) z)
Outputs
(*.f64 (/.f64 (neg.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y))) (/.f64 (neg.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y))))
(*.f64 (/.f64 (cos.f64 y) (sqrt.f64 (cos.f64 y))) (/.f64 (cos.f64 y) (sqrt.f64 (cos.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 y))))
(*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 y))))
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(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (PI.f64) y))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 y) (PI.f64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 y))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (PI.f64) y) (PI.f64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) y)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 y))) (/.f64 x (sqrt.f64 (cos.f64 y))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 x (cos.f64 y)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (neg.f64 (cos.f64 y)))
(*.f64 (/.f64 x (neg.f64 (cos.f64 y))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(*.f64 (/.f64 x (sqrt.f64 (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 y))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (cos.f64 y))
(*.f64 (/.f64 x (cos.f64 y)) (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (fabs.f64 (*.f64 x #s(literal 1 binary64))) (cos.f64 y))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) (fabs.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (exp.f64 (log.f64 x)) (cos.f64 y))
(*.f64 (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)))
(*.f64 (*.f64 x #s(literal 1 binary64)) (cos.f64 y))
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (fabs.f64 x) (cos.f64 y))
(*.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64))
(*.f64 x (cos.f64 y))
(*.f64 (neg.f64 (cos.f64 y)) (/.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 x (neg.f64 (cos.f64 y))))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 x (cos.f64 y)))
(*.f64 (cos.f64 y) (/.f64 x #s(literal 1 binary64)))
(*.f64 (cos.f64 y) (fabs.f64 (*.f64 #s(literal 1 binary64) x)))
(*.f64 (cos.f64 y) (exp.f64 (log.f64 x)))
(*.f64 (cos.f64 y) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (cos.f64 y) (*.f64 #s(literal 1 binary64) x))
(*.f64 (cos.f64 y) (fabs.f64 x))
(*.f64 (cos.f64 y) x)
(*.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (neg.f64 (cos.f64 y)))
(/.f64 (neg.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (cos.f64 y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) (neg.f64 (cos.f64 y)))
(/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (cos.f64 y))
(/.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 y))
(/.f64 (neg.f64 (*.f64 x (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (cos.f64 y))
(/.f64 (*.f64 x (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (cos.f64 y)))
(neg.f64 (*.f64 (/.f64 x #s(literal 1 binary64)) (neg.f64 (cos.f64 y))))
(neg.f64 (*.f64 x (neg.f64 (cos.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x (neg.f64 (cos.f64 y))))
(fabs.f64 (*.f64 x (cos.f64 y)))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(+.f64 (cosh.f64 (log.f64 (*.f64 x (cos.f64 y)))) (sinh.f64 (log.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (fabs.f64 (*.f64 (*.f64 z (sin.f64 y)) z)) (fabs.f64 (sin.f64 y)))
(*.f64 (fabs.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y))) (fabs.f64 z))
(*.f64 (fabs.f64 (*.f64 z z)) (fabs.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (fabs.f64 (*.f64 z z)))
(*.f64 (fabs.f64 z) (fabs.f64 (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (fabs.f64 (sin.f64 y)) (fabs.f64 (*.f64 z (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) z) #s(literal 1 binary64)) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal 1 binary64)) z)
(*.f64 (pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 z (sin.f64 y)) z) (sin.f64 y))
(*.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (neg.f64 (*.f64 (neg.f64 z) (sin.f64 y))) (neg.f64 (*.f64 (neg.f64 z) (sin.f64 y))))
(*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y)))
(*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z z))
(*.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 z (pow.f64 (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(*.f64 z (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 (sin.f64 y) (pow.f64 (*.f64 z (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(*.f64 (sin.f64 y) (*.f64 z (*.f64 z (sin.f64 y))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 z (sin.f64 y))))
(pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (*.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64) (*.f64 (log.f64 z) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (fabs.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 (fabs.f64 z) (fabs.f64 (sin.f64 y)))
(*.f64 (fabs.f64 (sin.f64 y)) (fabs.f64 z))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (sin.f64 y))))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (neg.f64 z) (sin.f64 y)))
(fabs.f64 (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(+.f64 (cosh.f64 (log.f64 (*.f64 z (sin.f64 y)))) (sinh.f64 (log.f64 (*.f64 z (sin.f64 y)))))

eval162.0ms (3.2%)

Memory
-8.9MiB live, 142.8MiB allocated
Compiler

Compiled 33 456 to 4 136 computations (87.6% saved)

prune39.0ms (0.8%)

Memory
-5.2MiB live, 67.5MiB allocated
Pruning

30 alts after pruning (26 fresh and 4 done)

PrunedKeptTotal
New988191 007
Fresh5712
Picked235
Done011
Total995301 025
Accuracy
100.0%
Counts
1 025 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) z))
42.1%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (neg.f64 z) (sin.f64 y)))
▶50.1%
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y)))
✓57.2%
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
17.2%
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))))
21.4%
(/.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
99.1%
(-.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
77.6%
(-.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 y))))) (*.f64 z (sin.f64 y)))
38.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 z))))
✓99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓75.1%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
52.5%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
52.7%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
34.3%
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) y) z) y x))
52.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
52.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
✓54.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
81.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y)))))
88.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x))
87.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z))
▶37.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
46.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x)) #s(literal 1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
▶46.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
52.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x))
92.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x))
30.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x))
64.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x))
40.9%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y)))
47.6%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 x z)) z)))
▶17.4%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
Compiler

Compiled 1 481 to 952 computations (35.7% saved)

simplify128.0ms (2.5%)

Memory
-8.7MiB live, 89.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 (cos.f64 y) x)
cost-diff0
(sqrt.f64 (*.f64 (cos.f64 y) x))
cost-diff7
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y)))
cost-diff0
(sin.f64 y)
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) (sin.f64 y))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
cost-diff0
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) z)
cost-diff0
#s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
cost-diff0
(/.f64 x (cos.f64 y))
cost-diff0
(cos.f64 y)
cost-diff0
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
cost-diff5
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) z))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
040248
065246
1126241
2247241
3543241
41170231
52532231
67268231
08047231
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) z))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(cos.f64 y)
y
#s(literal 2 binary64)
(/.f64 x (cos.f64 y))
x
(*.f64 (neg.f64 (sin.f64 y)) z)
(neg.f64 (sin.f64 y))
(sin.f64 y)
z
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
#s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))
(*.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x))
#s(literal -1/2 binary64)
y
(/.f64 (neg.f64 z) x)
(neg.f64 z)
z
x
#s(literal 1 binary64)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
z
(sin.f64 y)
y
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(cos.f64 y)
y
x
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
z
(sin.f64 y)
Outputs
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) z))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(cos.f64 y)
y
#s(literal 2 binary64)
(/.f64 x (cos.f64 y))
x
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 (sin.f64 y))
(sin.f64 y)
z
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 z) y)))
#s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))
#s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 y) z)
(*.f64 (neg.f64 z) y)
(neg.f64 y)
y
z
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x))
#s(literal -1/2 binary64)
y
(/.f64 (neg.f64 z) x)
(neg.f64 z)
z
x
#s(literal 1 binary64)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
z
(sin.f64 y)
y
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(cos.f64 y)
y
x
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
z
(sin.f64 y)

localize95.0ms (1.9%)

Memory
-4.5MiB live, 124.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.03515625
(sqrt.f64 (*.f64 (cos.f64 y) x))
accuracy0.0625
(*.f64 (cos.f64 y) x)
accuracy0.07421875
(*.f64 (neg.f64 z) (sin.f64 y))
accuracy0.154628759768442
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y)))
accuracy0.0
(sin.f64 y)
accuracy0.0
(neg.f64 z)
accuracy0.07421875
(*.f64 (neg.f64 z) (sin.f64 y))
accuracy21.776258835754987
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
accuracy0.01171875
(fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x))
accuracy1.1717935941505304
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))
accuracy2.4421830251032377
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)
accuracy16.228702867396454
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)))
accuracy0.0
(*.f64 (neg.f64 y) z)
accuracy0.0
(neg.f64 y)
accuracy16.136432269857455
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
accuracy17.70193929628504
#s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))
accuracy0.05078125
(/.f64 x (cos.f64 y))
accuracy0.05859375
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) z))
accuracy0.07421875
(*.f64 (neg.f64 (sin.f64 y)) z)
accuracy0.125
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
Samples
35.0ms129×0valid
35.0ms127×0invalid
Compiler

Compiled 186 to 38 computations (79.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 18.0ms (35.2% of total)
ival-cos: 8.0ms (15.6% of total)
ival-add: 6.0ms (11.7% of total)
ival-div: 5.0ms (9.8% of total)
ival-sin: 5.0ms (9.8% of total)
ival-neg: 3.0ms (5.9% of total)
ival-sqrt: 2.0ms (3.9% of total)
ival-pow2: 2.0ms (3.9% of total)
ival-sub: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series28.0ms (0.6%)

Memory
24.8MiB live, 24.8MiB allocated
Counts
21 → 82
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) z))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(cos.f64 y)
(/.f64 x (cos.f64 y))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
#s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))
(*.f64 (neg.f64 y) z)
(neg.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
(sin.f64 y)
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 (sin.f64 y)) z)
(fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x))
Outputs
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(/ x (cos y))
(- (* x (cos y)) (* z (sin y)))
(* -1 (* y z))
(+ x (* -1 (* y z)))
(* -1 (/ (* z (sin y)) x))
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)
(* -1 (/ (* y z) x))
(/ (+ (* -1 (* y z)) (* x (+ 1 (* -1/2 (pow y 2))))) x)
(sqrt (* x (cos y)))
(* x (cos y))
(* -1 (/ z x))
(/ (+ (* -1 z) (* -1/2 (* x y))) x)
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2))))
(* -1/2 y)
(+ (* -1 (/ z x)) (* -1/2 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* (cos y) (pow (sqrt -1) 2)) (/ (* z (sin y)) x))))
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1 (* (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)))
(+ x (* 1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/4 x) (* 1/24 x)))) (* -1/2 x))))
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/720 x) (+ (* 1/48 x) (* 1/2 (+ (* -1/4 x) (* 1/24 x))))))) (+ (* -1/4 x) (* 1/24 x)))) (* -1/2 x))))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(* -1 y)
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y))))
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2)))))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) 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))))
(sqrt x)
(+ (sqrt x) (* -1/4 (* (sqrt x) (pow y 2))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* 1/24 x) (* 1/16 x))))))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* -1/720 x) (* -1/4 (- (* 1/24 x) (* 1/16 x))))))) (* 1/2 (* (sqrt (/ 1 x)) (- (* 1/24 x) (* 1/16 x)))))))))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(pow (cos y) 2)
(* y (+ (* -1 z) (/ x y)))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* -1 (/ z (* x y))) 1/2))
(* (pow y 2) (- (+ (* -1 (/ z (* x y))) (/ 1 (pow y 2))) 1/2))
(sin y)
(* y (- (* -1 (/ z (* x y))) 1/2))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* (pow y 2) (- (* -1 (/ (- (/ z x) (/ 1 y)) y)) 1/2))
(* -1 (* y (+ 1/2 (/ z (* x y)))))
(* -1 z)
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* z (+ (* -1 (/ y x)) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))))
(* z (- (* -1/2 (/ y z)) (/ 1 x)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/2 (pow y 2))) z)) (/ y x))))
(* -1 (* z (+ (* 1/2 (/ y z)) (/ 1 x))))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
y
@inf
((+ (* (pow (cos y) 2) (/ x (cos y))) (* (neg (sin y)) z)) (pow (cos y) 2) (cos y) (/ x (cos y)) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (neg z) (sin y) (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (sqrt (* (cos y) x)) (* (cos y) x) (* (neg (sin y)) z) (+ (* -1/2 y) (/ (neg z) x)))
3.0ms
x
@-inf
((+ (* (pow (cos y) 2) (/ x (cos y))) (* (neg (sin y)) z)) (pow (cos y) 2) (cos y) (/ x (cos y)) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (neg z) (sin y) (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (sqrt (* (cos y) x)) (* (cos y) x) (* (neg (sin y)) z) (+ (* -1/2 y) (/ (neg z) x)))
3.0ms
y
@-inf
((+ (* (pow (cos y) 2) (/ x (cos y))) (* (neg (sin y)) z)) (pow (cos y) 2) (cos y) (/ x (cos y)) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (neg z) (sin y) (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (sqrt (* (cos y) x)) (* (cos y) x) (* (neg (sin y)) z) (+ (* -1/2 y) (/ (neg z) x)))
3.0ms
x
@0
((+ (* (pow (cos y) 2) (/ x (cos y))) (* (neg (sin y)) z)) (pow (cos y) 2) (cos y) (/ x (cos y)) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (neg z) (sin y) (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (sqrt (* (cos y) x)) (* (cos y) x) (* (neg (sin y)) z) (+ (* -1/2 y) (/ (neg z) x)))
2.0ms
y
@0
((+ (* (pow (cos y) 2) (/ x (cos y))) (* (neg (sin y)) z)) (pow (cos y) 2) (cos y) (/ x (cos y)) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (neg z) (sin y) (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (sqrt (* (cos y) x)) (* (cos y) x) (* (neg (sin y)) z) (+ (* -1/2 y) (/ (neg z) x)))

simplify145.0ms (2.8%)

Memory
-7.8MiB live, 75.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0293928
11014891
23736845
08361799
Stop Event
1×iter limit
1×node limit
Counts
82 → 80
Calls
Call 1
Inputs
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(/ x (cos y))
(- (* x (cos y)) (* z (sin y)))
(* -1 (* y z))
(+ x (* -1 (* y z)))
(* -1 (/ (* z (sin y)) x))
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)
(* -1 (/ (* y z) x))
(/ (+ (* -1 (* y z)) (* x (+ 1 (* -1/2 (pow y 2))))) x)
(sqrt (* x (cos y)))
(* x (cos y))
(* -1 (/ z x))
(/ (+ (* -1 z) (* -1/2 (* x y))) x)
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2))))
(* -1/2 y)
(+ (* -1 (/ z x)) (* -1/2 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* (cos y) (pow (sqrt -1) 2)) (/ (* z (sin y)) x))))
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1 (* (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)))
(+ x (* 1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/4 x) (* 1/24 x)))) (* -1/2 x))))
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/720 x) (+ (* 1/48 x) (* 1/2 (+ (* -1/4 x) (* 1/24 x))))))) (+ (* -1/4 x) (* 1/24 x)))) (* -1/2 x))))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(* -1 y)
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y))))
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2)))))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) 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))))
(sqrt x)
(+ (sqrt x) (* -1/4 (* (sqrt x) (pow y 2))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* 1/24 x) (* 1/16 x))))))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* -1/720 x) (* -1/4 (- (* 1/24 x) (* 1/16 x))))))) (* 1/2 (* (sqrt (/ 1 x)) (- (* 1/24 x) (* 1/16 x)))))))))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(pow (cos y) 2)
(* y (+ (* -1 z) (/ x y)))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* -1 (/ z (* x y))) 1/2))
(* (pow y 2) (- (+ (* -1 (/ z (* x y))) (/ 1 (pow y 2))) 1/2))
(sin y)
(* y (- (* -1 (/ z (* x y))) 1/2))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* (pow y 2) (- (* -1 (/ (- (/ z x) (/ 1 y)) y)) 1/2))
(* -1 (* y (+ 1/2 (/ z (* x y)))))
(* -1 z)
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* z (+ (* -1 (/ y x)) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))))
(* z (- (* -1/2 (/ y z)) (/ 1 x)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/2 (pow y 2))) z)) (/ y x))))
(* -1 (* z (+ (* 1/2 (/ y z)) (/ 1 x))))
Outputs
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(* -1 (/ (* z (sin y)) x))
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)
(fma.f64 (/.f64 (neg.f64 (sin.f64 y)) x) z (cos.f64 y))
(* -1 (/ (* y z) x))
(*.f64 (neg.f64 y) (/.f64 z x))
(/ (+ (* -1 (* y z)) (* x (+ 1 (* -1/2 (pow y 2))))) x)
(/.f64 (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x) x)
(sqrt (* x (cos y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (/ z x))
(/.f64 (neg.f64 z) x)
(/ (+ (* -1 z) (* -1/2 (* x y))) x)
(/.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) x)
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (/.f64 (neg.f64 (sin.f64 y)) x) z (cos.f64 y)) x)
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x)
(cos y)
(cos.f64 y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(fma.f64 (/.f64 (neg.f64 (sin.f64 y)) x) z (cos.f64 y))
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1 (/ z x)) (* -1/2 y))
(fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (/.f64 (neg.f64 (sin.f64 y)) x) z (cos.f64 y)) x)
(* -1 (* x (- (/ (* y z) x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 z y) x) #s(literal 1 binary64)))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* (cos y) (pow (sqrt -1) 2)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (/.f64 (neg.f64 (sin.f64 y)) x) z (cos.f64 y)) x)
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(fma.f64 (neg.f64 y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 y y) #s(literal 1/3 binary64)) y) y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ x (* 1/2 (* x (pow y 2))))
(fma.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64) x)
(+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/4 x) (* 1/24 x)))) (* -1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (*.f64 x y) y) #s(literal 5/24 binary64))) (*.f64 y y) x)
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/720 x) (+ (* 1/48 x) (* 1/2 (+ (* -1/4 x) (* 1/24 x))))))) (+ (* -1/4 x) (* 1/24 x)))) (* -1/2 x))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x #s(literal -61/720 binary64)) y) (neg.f64 y) (*.f64 #s(literal 5/24 binary64) x)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y y) x)
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)
(* -1 y)
(neg.f64 y)
(+ 1 (* -1 (/ (* y z) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2)))))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x)) #s(literal 1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (neg.f64 y) z))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
(*.f64 (fma.f64 z (fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))))) y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #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 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) y)
(sqrt x)
(sqrt.f64 x)
(+ (sqrt x) (* -1/4 (* (sqrt x) (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) (sqrt.f64 x))
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* 1/24 x) (* 1/16 x))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/48 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -1/4 binary64))) (*.f64 y y) (sqrt.f64 x))
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* -1/720 x) (* -1/4 (- (* 1/24 x) (* 1/16 x))))))) (* 1/2 (* (sqrt (/ 1 x)) (- (* 1/24 x) (* 1/16 x)))))))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/48 binary64) x (*.f64 (*.f64 (*.f64 x #s(literal -19/2880 binary64)) y) y)))))
(+ x (* -1/2 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(* y (+ (* -1 z) (/ x y)))
(*.f64 (-.f64 (/.f64 x y) z) y)
(* -1/2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/2 binary64))
(* (pow y 2) (- (* -1 (/ z (* x y))) 1/2))
(*.f64 (-.f64 (/.f64 (/.f64 (neg.f64 z) y) x) #s(literal 1/2 binary64)) (*.f64 y y))
(* (pow y 2) (- (+ (* -1 (/ z (* x y))) (/ 1 (pow y 2))) 1/2))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) z (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1/2 binary64)) (*.f64 y y))
(sin y)
(sin.f64 y)
(* y (- (* -1 (/ z (* x y))) 1/2))
(*.f64 (-.f64 (/.f64 (/.f64 (neg.f64 z) y) x) #s(literal 1/2 binary64)) y)
(* -1 (* y (+ z (* -1 (/ x y)))))
(*.f64 (-.f64 (/.f64 x y) z) y)
(* (pow y 2) (- (* -1 (/ (- (/ z x) (/ 1 y)) y)) 1/2))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 y y))
(* -1 (* y (+ 1/2 (/ z (* x y)))))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z x) #s(literal -1/2 binary64)) y)
(* -1 z)
(neg.f64 z)
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(* z (+ (* -1 y) (/ x z)))
(*.f64 (-.f64 (/.f64 x z) y) z)
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(* z (+ (* -1 (/ y x)) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))))
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) (/.f64 y x)) z)
(* z (- (* -1/2 (/ y z)) (/ 1 x)))
(*.f64 (-.f64 (*.f64 (/.f64 y z) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) z)
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(* -1 (* z (+ y (* -1 (/ x z)))))
(*.f64 (-.f64 (/.f64 x z) y) z)
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/2 (pow y 2))) z)) (/ y x))))
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) (/.f64 y x)) z)
(* -1 (* z (+ (* 1/2 (/ y z)) (/ 1 x))))
(*.f64 (fma.f64 (/.f64 (neg.f64 y) z) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) z)

rewrite145.0ms (2.8%)

Memory
-12.5MiB live, 92.2MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040210
065203
1239198
21543198
08260198
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 362
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) z))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(cos.f64 y)
(/.f64 x (cos.f64 y))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
#s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))
(*.f64 (neg.f64 y) z)
(neg.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
(sin.f64 y)
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 (sin.f64 y)) z)
(fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x))
Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) (neg.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z (sin.f64 y))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (pow.f64 (/.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))))
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eval88.0ms (1.7%)

Memory
29.7MiB live, 92.9MiB allocated
Compiler

Compiled 18 180 to 2 117 computations (88.4% saved)

prune39.0ms (0.8%)

Memory
-12.6MiB live, 46.4MiB allocated
Pruning

35 alts after pruning (28 fresh and 7 done)

PrunedKeptTotal
New64313656
Fresh61521
Picked235
Done044
Total65135686
Accuracy
100.0%
Counts
686 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) z))
99.1%
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) z))
42.1%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (neg.f64 z) (sin.f64 y)))
27.1%
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
✓57.2%
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
17.2%
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))))
21.4%
(/.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
▶99.1%
(-.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
77.6%
(-.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 y))))) (*.f64 z (sin.f64 y)))
38.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 z))))
✓99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓75.1%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
52.5%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
▶34.3%
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) y) z) y x))
52.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
52.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
✓54.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
81.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y)))))
88.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x))
87.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z))
✓37.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
46.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x)) #s(literal 1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
46.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 #s(approx (+ (* -1/2 y) (/ (neg z) x)) (/.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) x)) y #s(literal 1 binary64))) x))
38.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 #s(approx (+ (* -1/2 y) (/ (neg z) x)) (*.f64 #s(literal -1/2 binary64) y)) y #s(literal 1 binary64))) x))
▶92.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x))
30.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x))
64.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x))
50.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) (/.f64 y x)) z))) x))
6.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (-.f64 (/.f64 (/.f64 (neg.f64 z) y) x) #s(literal 1/2 binary64)) (*.f64 y y)))) x))
▶2.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) x))
▶11.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x))
47.6%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x z) y) z)))
40.9%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x y) z) y)))
✓17.4%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
17.2%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
Compiler

Compiled 1 893 to 1 204 computations (36.4% saved)

simplify136.0ms (2.7%)

Memory
-7.1MiB live, 59.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
cost-diff0
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z))
cost-diff0
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x))
cost-diff1
(fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))
cost-diff2
(/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x)
cost-diff3
(-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x)))
cost-diff6
(fma.f64 z z (*.f64 (neg.f64 z) z))
cost-diff0
#s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))
cost-diff0
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x))))
cost-diff0
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x)
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x))
cost-diff0
#s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))
cost-diff0
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
cost-diff0
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) x)
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) x))
cost-diff1
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (cos.f64 y)))
cost-diff2
(pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64))
cost-diff2
(-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
cost-diff3
(*.f64 #s(literal 0 binary64) (sin.f64 y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074670
0117611
1219572
2495557
31244531
43277519
08195506
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(*.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (cos.f64 y))))
x
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (cos.f64 y)))
(-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64))
(*.f64 #s(literal 0 binary64) (sin.f64 y))
#s(literal 0 binary64)
(sin.f64 y)
y
#s(literal 2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
(neg.f64 (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))
z
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) x)
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
#s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 y y) #s(literal -1/2 binary64))
(*.f64 y y)
y
#s(literal -1/2 binary64)
x
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x)
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x))))
#s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))
(*.f64 (neg.f64 y) (/.f64 z x))
(neg.f64 y)
y
(/.f64 z x)
z
x
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) y) z) y x))
(fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) y) z) y x)
(-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) y) z)
(*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) y)
(-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x)))
(neg.f64 x)
x
(fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))
#s(literal -1/2 binary64)
(/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x)
(fma.f64 z z (*.f64 (neg.f64 z) z))
z
(*.f64 (neg.f64 z) z)
(neg.f64 z)
y
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z))
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x))
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
(/.f64 (sin.f64 y) x)
(sin.f64 y)
x
Outputs
(-.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(fma.f64 (/.f64 x (cos.f64 y)) (fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 z) (sin.f64 y)))
(*.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (cos.f64 y))))
(*.f64 (/.f64 x (cos.f64 y)) (fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
x
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (cos.f64 y)))
(/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))
(-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64))
#s(literal 0 binary64)
(*.f64 #s(literal 0 binary64) (sin.f64 y))
#s(literal 0 binary64)
#s(literal 0 binary64)
(sin.f64 y)
y
#s(literal 2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 y y))
(cos.f64 (*.f64 #s(literal -2 binary64) y))
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
(neg.f64 (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))
z
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) x)
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
#s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 y y) #s(literal -1/2 binary64))
(*.f64 y y)
y
#s(literal -1/2 binary64)
x
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (/.f64 (neg.f64 z) x) y))) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x)
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (/.f64 (neg.f64 z) x) y))) x)
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x))))
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (/.f64 (neg.f64 z) x) y)))
#s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))
#s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (/.f64 (neg.f64 z) x) y))
(*.f64 (neg.f64 y) (/.f64 z x))
(*.f64 (/.f64 (neg.f64 z) x) y)
(neg.f64 y)
y
(/.f64 z x)
z
x
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) y) z) y x))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) y) z) y x))
(fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) y) z) y x)
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) y) z) y x)
(-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) y) z)
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) y) z)
(*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) y)
(*.f64 (*.f64 #s(literal -1/2 binary64) x) y)
(-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x)))
(*.f64 #s(literal -1/2 binary64) x)
(neg.f64 x)
x
(fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x)
#s(literal 0 binary64)
(fma.f64 z z (*.f64 (neg.f64 z) z))
#s(literal 0 binary64)
z
(*.f64 (neg.f64 z) z)
(neg.f64 z)
y
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z))
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x))
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
(/.f64 (sin.f64 y) x)
(sin.f64 y)
x

localize172.0ms (3.4%)

Memory
4.1MiB live, 131.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.125
(/.f64 (cos.f64 y) z)
accuracy0.13671875
(/.f64 (sin.f64 y) x)
accuracy0.2109375
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
accuracy4.6322086211547155
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)
accuracy0.0
(neg.f64 x)
accuracy0.03125
(fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) y) z) y x)
accuracy30.236913397341702
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) y) z) y x))
accuracy43.8924413764984
(fma.f64 z z (*.f64 (neg.f64 z) z))
accuracy4.6322086211547155
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x)
accuracy6.082533560349055
(*.f64 (neg.f64 y) (/.f64 z x))
accuracy29.64476373502156
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x))))
accuracy43.47623676723363
#s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))
accuracy0.0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) x))
accuracy4.6322086211547155
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) x)
accuracy29.64476373502156
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
accuracy39.393006812347124
#s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))
accuracy0.1328125
(*.f64 z (sin.f64 y))
accuracy0.24610016085074582
(cos.f64 (+.f64 y y))
accuracy0.2578125
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (cos.f64 y)))
accuracy0.4150004365280833
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
Samples
110.0ms256×0valid
Compiler

Compiled 457 to 63 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-mult: 27.0ms (32.2% of total)
ival-cos: 12.0ms (14.3% of total)
ival-div: 11.0ms (13.1% of total)
ival-add: 9.0ms (10.7% of total)
ival-sin: 7.0ms (8.4% of total)
ival-sub: 7.0ms (8.4% of total)
ival-pow2: 6.0ms (7.2% of total)
ival-neg: 4.0ms (4.8% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series51.0ms (1%)

Memory
7.0MiB live, 66.7MiB allocated
Counts
29 → 106
Calls
Call 1
Inputs
(*.f64 #s(literal 0 binary64) (sin.f64 y))
(-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) x)
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
#s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x)
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x))))
#s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))
(fma.f64 z z (*.f64 (neg.f64 z) z))
(-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x)))
(/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x)
(fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z))
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(cos.f64 (+.f64 y y))
(*.f64 z (sin.f64 y))
(*.f64 (neg.f64 y) (/.f64 z x))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) y) z) y x))
(fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) y) z) y x)
(neg.f64 x)
(/.f64 (sin.f64 y) x)
(/.f64 (cos.f64 y) z)
Outputs
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (/ (* z (sin y)) x))
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)
(* -1 (/ (* y z) x))
(/ (+ (* -1 (* y z)) (* x (+ 1 (* -1/2 (pow y 2))))) x)
(* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) x))
(/ (- (* -1/2 (pow x 2)) (+ (* -1 (pow z 2)) (pow z 2))) x)
(/ (+ (* -1 (pow z 2)) (pow z 2)) x)
(/ (+ (* -1 (pow z 2)) (+ (* -1/2 (pow x 2)) (pow z 2))) x)
(* -1 (/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) x))
(/ (+ (* -1 (* x (* y z))) (* -1 (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))))) x)
(/ (+ (* -1 (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2)))) (* x (+ (* -1 (* y z)) (* x (+ 1 (* -1/2 (pow y 2))))))) x)
(* -1 x)
(/ (sin y) x)
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2))))
(* -1/2 x)
(* x (- (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) (pow x 2))) 1/2))
(* x (- (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2))) 1/2))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2)))))
(* x (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) (pow x 2))) (* -1/2 (pow y 2))))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ 1/2 (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2))))))
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) (pow x 2))))))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* 1/2 (pow y 2)) (/ (* y z) x)) 1)))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (* y z)) (* -1 (/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) x))) x)) (* 1/2 (pow y 2))) 1)))
0
-1
(- (pow y 2) 1)
(- (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) 1)
(- (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) 1)
1
(+ 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)))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y))))
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2)))))
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1 (* -2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z)))
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) x)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z)))
(+ x (* y (+ (* -1 z) (* -1 (* y (+ x (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x)))))))))
(/ y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(/ 1 z)
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))
(* -1 (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* -1 (/ z (* x y))) 1/2))
(* (pow y 2) (- (+ (* -1 (/ z (* x y))) (/ 1 (pow y 2))) 1/2))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(cos (* 2 y))
(* z (sin y))
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* x (cos y)) (* z (sin y))))
(* -1 (* (pow y 2) (+ x (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))))
(* (pow y 2) (+ (* -1 (+ x (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 (/ z y))))
(* (pow y 2) (- (+ (* -1 (+ x (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (/ x (pow y 2))) (/ z y)))
(/ (cos y) z)
(* -1 (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))
(/ (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (cos y))
(* (pow y 2) (- (* -1 (/ (- (/ z x) (/ 1 y)) y)) 1/2))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(cos (neg (* -2 y)))
(* (pow y 2) (+ (* -1 (+ x (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 (/ (+ z (* -1 (/ x y))) y))))
(* -1 (+ x (* -1/2 x)))
(+ x (* -1 (* (pow y 2) (+ x (* -1/2 x)))))
(+ x (+ (* -1 (* y z)) (* -1 (* (pow y 2) (+ x (* -1/2 x))))))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* z (+ (* -1 (/ y x)) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))))
(* -1 (* y z))
(* z (+ (* -1 y) (+ (* -1 (/ (* (pow y 2) (+ x (* -1/2 x))) z)) (/ x z))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/2 (pow y 2))) z)) (/ y x))))
(* -1 (* z (+ y (* -1 (/ (+ x (* -1 (* (pow y 2) (+ x (* -1/2 x))))) z)))))
Calls

9 calls:

TimeVariablePointExpression
11.0ms
z
@0
((* 0 (sin y)) (- (pow (* 0 (sin y)) 2) (+ 1/2 (* 1/2 (cos (+ y y))))) (pow (* 0 (sin y)) 2) (/ (- (pow (* 0 (sin y)) 2) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (cos y))) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (+ (* z z) (* (neg z) z)) (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) (/ (+ (* z z) (* (neg z) z)) x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (- (/ (cos y) z) (/ (sin y) x)) z) (+ 1/2 (* 1/2 (cos (+ y y)))) (cos (+ y y)) (* z (sin y)) (* (neg y) (/ z x)) (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (+ (* (- (* (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) y) z) y) x) (neg x) (/ (sin y) x) (/ (cos y) z))
5.0ms
z
@inf
((* 0 (sin y)) (- (pow (* 0 (sin y)) 2) (+ 1/2 (* 1/2 (cos (+ y y))))) (pow (* 0 (sin y)) 2) (/ (- (pow (* 0 (sin y)) 2) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (cos y))) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (+ (* z z) (* (neg z) z)) (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) (/ (+ (* z z) (* (neg z) z)) x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (- (/ (cos y) z) (/ (sin y) x)) z) (+ 1/2 (* 1/2 (cos (+ y y)))) (cos (+ y y)) (* z (sin y)) (* (neg y) (/ z x)) (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (+ (* (- (* (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) y) z) y) x) (neg x) (/ (sin y) x) (/ (cos y) z))
5.0ms
x
@0
((* 0 (sin y)) (- (pow (* 0 (sin y)) 2) (+ 1/2 (* 1/2 (cos (+ y y))))) (pow (* 0 (sin y)) 2) (/ (- (pow (* 0 (sin y)) 2) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (cos y))) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (+ (* z z) (* (neg z) z)) (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) (/ (+ (* z z) (* (neg z) z)) x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (- (/ (cos y) z) (/ (sin y) x)) z) (+ 1/2 (* 1/2 (cos (+ y y)))) (cos (+ y y)) (* z (sin y)) (* (neg y) (/ z x)) (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (+ (* (- (* (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) y) z) y) x) (neg x) (/ (sin y) x) (/ (cos y) z))
5.0ms
x
@inf
((* 0 (sin y)) (- (pow (* 0 (sin y)) 2) (+ 1/2 (* 1/2 (cos (+ y y))))) (pow (* 0 (sin y)) 2) (/ (- (pow (* 0 (sin y)) 2) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (cos y))) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (+ (* z z) (* (neg z) z)) (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) (/ (+ (* z z) (* (neg z) z)) x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (- (/ (cos y) z) (/ (sin y) x)) z) (+ 1/2 (* 1/2 (cos (+ y y)))) (cos (+ y y)) (* z (sin y)) (* (neg y) (/ z x)) (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (+ (* (- (* (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) y) z) y) x) (neg x) (/ (sin y) x) (/ (cos y) z))
5.0ms
y
@inf
((* 0 (sin y)) (- (pow (* 0 (sin y)) 2) (+ 1/2 (* 1/2 (cos (+ y y))))) (pow (* 0 (sin y)) 2) (/ (- (pow (* 0 (sin y)) 2) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (cos y))) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (+ (* z z) (* (neg z) z)) (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) (/ (+ (* z z) (* (neg z) z)) x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (- (/ (cos y) z) (/ (sin y) x)) z) (+ 1/2 (* 1/2 (cos (+ y y)))) (cos (+ y y)) (* z (sin y)) (* (neg y) (/ z x)) (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (+ (* (- (* (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) y) z) y) x) (neg x) (/ (sin y) x) (/ (cos y) z))

simplify144.0ms (2.8%)

Memory
-8.3MiB live, 117.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03741323
113111178
248421152
083731073
Stop Event
1×iter limit
1×node limit
Counts
106 → 105
Calls
Call 1
Inputs
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (/ (* z (sin y)) x))
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)
(* -1 (/ (* y z) x))
(/ (+ (* -1 (* y z)) (* x (+ 1 (* -1/2 (pow y 2))))) x)
(* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) x))
(/ (- (* -1/2 (pow x 2)) (+ (* -1 (pow z 2)) (pow z 2))) x)
(/ (+ (* -1 (pow z 2)) (pow z 2)) x)
(/ (+ (* -1 (pow z 2)) (+ (* -1/2 (pow x 2)) (pow z 2))) x)
(* -1 (/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) x))
(/ (+ (* -1 (* x (* y z))) (* -1 (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))))) x)
(/ (+ (* -1 (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2)))) (* x (+ (* -1 (* y z)) (* x (+ 1 (* -1/2 (pow y 2))))))) x)
(* -1 x)
(/ (sin y) x)
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2))))
(* -1/2 x)
(* x (- (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) (pow x 2))) 1/2))
(* x (- (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2))) 1/2))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2)))))
(* x (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) (pow x 2))) (* -1/2 (pow y 2))))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ 1/2 (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2))))))
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) (pow x 2))))))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* 1/2 (pow y 2)) (/ (* y z) x)) 1)))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (* y z)) (* -1 (/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) x))) x)) (* 1/2 (pow y 2))) 1)))
0
-1
(- (pow y 2) 1)
(- (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) 1)
(- (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) 1)
1
(+ 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)))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y))))
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2)))))
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1 (* -2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z)))
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) x)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z)))
(+ x (* y (+ (* -1 z) (* -1 (* y (+ x (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x)))))))))
(/ y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(/ 1 z)
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))
(* -1 (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* -1 (/ z (* x y))) 1/2))
(* (pow y 2) (- (+ (* -1 (/ z (* x y))) (/ 1 (pow y 2))) 1/2))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(cos (* 2 y))
(* z (sin y))
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* x (cos y)) (* z (sin y))))
(* -1 (* (pow y 2) (+ x (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))))
(* (pow y 2) (+ (* -1 (+ x (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 (/ z y))))
(* (pow y 2) (- (+ (* -1 (+ x (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (/ x (pow y 2))) (/ z y)))
(/ (cos y) z)
(* -1 (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))
(/ (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (cos y))
(* (pow y 2) (- (* -1 (/ (- (/ z x) (/ 1 y)) y)) 1/2))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(cos (neg (* -2 y)))
(* (pow y 2) (+ (* -1 (+ x (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 (/ (+ z (* -1 (/ x y))) y))))
(* -1 (+ x (* -1/2 x)))
(+ x (* -1 (* (pow y 2) (+ x (* -1/2 x)))))
(+ x (+ (* -1 (* y z)) (* -1 (* (pow y 2) (+ x (* -1/2 x))))))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* z (+ (* -1 (/ y x)) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))))
(* -1 (* y z))
(* z (+ (* -1 y) (+ (* -1 (/ (* (pow y 2) (+ x (* -1/2 x))) z)) (/ x z))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/2 (pow y 2))) z)) (/ y x))))
(* -1 (* z (+ y (* -1 (/ (+ x (* -1 (* (pow y 2) (+ x (* -1/2 x))))) z)))))
Outputs
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -1 (/ (* z (sin y)) x))
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) x)
(* -1 (/ (* y z) x))
(*.f64 (neg.f64 y) (/.f64 z x))
(/ (+ (* -1 (* y z)) (* x (+ 1 (* -1/2 (pow y 2))))) x)
(/.f64 (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x) x)
(* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) x))
(/.f64 #s(literal 0 binary64) x)
(/ (- (* -1/2 (pow x 2)) (+ (* -1 (pow z 2)) (pow z 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 0 binary64)) x)
(/ (+ (* -1 (pow z 2)) (pow z 2)) x)
(/.f64 #s(literal 0 binary64) x)
(/ (+ (* -1 (pow z 2)) (+ (* -1/2 (pow x 2)) (pow z 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 0 binary64)) x)
(* -1 (/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) x))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) x)
(/ (+ (* -1 (* x (* y z))) (* -1 (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))))) x)
(/.f64 (neg.f64 (*.f64 y (fma.f64 x z (*.f64 y #s(literal 0 binary64))))) x)
(/ (+ (* -1 (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2)))) (* x (+ (* -1 (* y z)) (* x (+ 1 (* -1/2 (pow y 2))))))) x)
(/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) y) y (*.f64 (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x) x)) x)
(* -1 x)
(neg.f64 x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
(cos y)
(cos.f64 y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) (pow x 2))) 1/2))
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2))) 1/2))
(*.f64 #s(literal -1/2 binary64) x)
(* x (+ 1 (* -1/2 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) (pow x 2))) (* -1/2 (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
(* -1 (* x (+ 1/2 (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2))))))
(*.f64 #s(literal -1/2 binary64) x)
(* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) (pow x 2))))))
(*.f64 #s(literal -1/2 binary64) x)
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (* x (- (+ (* 1/2 (pow y 2)) (/ (* y z) x)) 1)))
(*.f64 (neg.f64 (-.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) y (/.f64 z x))) #s(literal 1 binary64))) x)
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (* y z)) (* -1 (/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) x))) x)) (* 1/2 (pow y 2))) 1)))
(*.f64 (neg.f64 (-.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) y (/.f64 z x))) #s(literal 1 binary64))) x)
0
#s(literal 0 binary64)
-1
#s(literal -1 binary64)
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
(- (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) 1)
(-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 y y)) #s(literal 1 binary64))
(- (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) 1)
(-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 y y)) #s(literal 1/3 binary64)) (*.f64 y y)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 (-.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) y x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)
(+ 1 (* -1 (/ (* y z) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2)))))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x)) #s(literal 1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))
(+ 1 (* -1 (pow y 2)))
(fma.f64 (neg.f64 y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 y y) #s(literal 1/3 binary64)) y) y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* -2 (pow y 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 y y)) #s(literal 2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 y y) #s(literal 2/3 binary64)) y) y) #s(literal 2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 z y))
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z)))
(fma.f64 (-.f64 (*.f64 (neg.f64 y) (+.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x)) x)) z) y x)
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) x)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z)))
(fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (fma.f64 (*.f64 z (+.f64 #s(literal 1/3 binary64) (/.f64 (neg.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x)) x)) x))) y x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z) y x)
(+ x (* y (+ (* -1 z) (* -1 (* y (+ x (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x)))))))))
(fma.f64 (neg.f64 y) (fma.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x)) x) y z) x)
(/ y x)
(/.f64 y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) y)
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) x) (*.f64 y y) (/.f64 #s(literal -1/6 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) z) (*.f64 y y) (/.f64 #s(literal 1 binary64) z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))
(fma.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) z) y) y (/.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) (/.f64 #s(literal 1 binary64) z))
(* -1 (+ 1/2 (* 1/2 (cos (* 2 y)))))
(fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))
(/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))
(/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))
(* -1/2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/2 binary64))
(* (pow y 2) (- (* -1 (/ z (* x y))) 1/2))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (neg.f64 z) x) y) #s(literal 1/2 binary64)) y) y)
(* (pow y 2) (- (+ (* -1 (/ z (* x y))) (/ 1 (pow y 2))) 1/2))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 z x) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1/2 binary64)) (*.f64 y y))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos (* 2 y))
(cos.f64 (*.f64 #s(literal -2 binary64) y))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* x (cos y)) (* z (sin y))))
(/.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(* -1 (* (pow y 2) (+ x (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))))
(*.f64 (*.f64 (neg.f64 y) y) (+.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x)) x))
(* (pow y 2) (+ (* -1 (+ x (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 (/ z y))))
(*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 z y) x) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) (*.f64 y y))
(* (pow y 2) (- (+ (* -1 (+ x (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (/ x (pow y 2))) (/ z y)))
(*.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x)) x) #s(literal -1 binary64) (/.f64 x (*.f64 y y))) (/.f64 z y)) (*.f64 y y))
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(* -1 (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))
(fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))
(/ (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (cos y))
(/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))
(* (pow y 2) (- (* -1 (/ (- (/ z x) (/ 1 y)) y)) 1/2))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 y y))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos (neg (* -2 y)))
(cos.f64 (*.f64 #s(literal -2 binary64) y))
(* (pow y 2) (+ (* -1 (+ x (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 (/ (+ z (* -1 (/ x y))) y))))
(*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 z (/.f64 x y)) y) x) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) (*.f64 y y))
(* -1 (+ x (* -1/2 x)))
(*.f64 #s(literal -1/2 binary64) x)
(+ x (* -1 (* (pow y 2) (+ x (* -1/2 x)))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(+ x (+ (* -1 (* y z)) (* -1 (* (pow y 2) (+ x (* -1/2 x))))))
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)) z)
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)) z)
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(* z (+ (* -1 (/ y x)) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)) z)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* z (+ (* -1 y) (+ (* -1 (/ (* (pow y 2) (+ x (* -1/2 x))) z)) (/ x z))))
(*.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) z)) z)
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)) z)
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)) z)
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/2 (pow y 2))) z)) (/ y x))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)) z)
(* -1 (* z (+ y (* -1 (/ (+ x (* -1 (* (pow y 2) (+ x (* -1/2 x))))) z)))))
(*.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) z)) z)

rewrite116.0ms (2.3%)

Memory
11.4MiB live, 80.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072520
0112473
1445427
03194411
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
29 → 199
Calls
Call 1
Inputs
(*.f64 #s(literal 0 binary64) (sin.f64 y))
(-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) x)
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
#s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x)
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x))))
#s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))
(fma.f64 z z (*.f64 (neg.f64 z) z))
(-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x)))
(/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x)
(fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z))
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(cos.f64 (+.f64 y y))
(*.f64 z (sin.f64 y))
(*.f64 (neg.f64 y) (/.f64 z x))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) y) z) y x))
(fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) y) z) y x)
(neg.f64 x)
(/.f64 (sin.f64 y) x)
(/.f64 (cos.f64 y) z)
Outputs
#s(literal 0 binary64)
(/.f64 (-.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(+.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y))) #s(literal 1/2 binary64)))
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))))
#s(literal 0 binary64)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 (cos.f64 y))))) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 (cos.f64 y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 (cos.f64 y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 (cos.f64 y))) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 (cos.f64 y)))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) (*.f64 (neg.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 (cos.f64 y))))
(/.f64 (neg.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (cos.f64 y))))
(/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (neg.f64 (cos.f64 y)))
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(neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(fma.f64 (+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (cos.f64 y)) (fabs.f64 (cos.f64 y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (cos.f64 y)) (neg.f64 (cos.f64 y)) #s(literal 0 binary64))
(fma.f64 (cos.f64 y) (cos.f64 y) #s(literal 0 binary64))
(fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(*.f64 (+.f64 (cos.f64 y) (sin.f64 y)) (-.f64 (cos.f64 y) (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (fma.f64 (cos.f64 y) (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))
(fma.f64 (+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)))
(fma.f64 (fabs.f64 (cos.f64 y)) (fabs.f64 (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)))
(fma.f64 (sin.f64 (*.f64 #s(literal -2 binary64) y)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (cos.f64 y)) (neg.f64 (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)))
(fma.f64 (cos.f64 y) (cos.f64 y) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)))
(sin.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal -2 binary64) y))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -2 binary64) y)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 z #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 z #s(literal 1 binary64)))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(*.f64 (/.f64 z x) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z x))
(*.f64 y (/.f64 (neg.f64 z) x))
(/.f64 (*.f64 (neg.f64 z) (neg.f64 y)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) z)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 y) z) x)
(neg.f64 (*.f64 (/.f64 z x) y))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z) y x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z) y) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z) y)) (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z) y) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z) y) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z) (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z) y) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z) y)) (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z) y) #s(literal 2 binary64))))
(fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z) y x)
(fma.f64 y (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z) y) x)))
(-.f64 x (*.f64 (neg.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z)) y))
(-.f64 x (*.f64 (neg.f64 y) (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z)))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z) y)) (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z) y)) (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z) y) #s(literal 2 binary64)))))
(+.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z) y) x)
(+.f64 x (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 0 binary64) x))) y) z) y))
(neg.f64 x)
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 x))
(/.f64 (sin.f64 y) x)
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) x))
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 x)))
(/.f64 (neg.f64 (cos.f64 y)) (neg.f64 z))
(/.f64 (cos.f64 y) z)
(neg.f64 (/.f64 (neg.f64 (cos.f64 y)) z))
(neg.f64 (/.f64 (cos.f64 y) (neg.f64 z)))

eval38.0ms (0.7%)

Memory
10.1MiB live, 41.0MiB allocated
Compiler

Compiled 11 653 to 1 732 computations (85.1% saved)

prune36.0ms (0.7%)

Memory
-21.2MiB live, 40.7MiB allocated
Pruning

38 alts after pruning (27 fresh and 11 done)

PrunedKeptTotal
New27310283
Fresh61723
Picked145
Done077
Total28038318
Accuracy
100.0%
Counts
318 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) z))
42.1%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (neg.f64 z) (sin.f64 y)))
27.1%
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
✓57.2%
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
17.2%
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))))
21.4%
(/.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
77.6%
(-.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 y))))) (*.f64 z (sin.f64 y)))
38.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 z))))
✓99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
99.1%
(-.f64 (*.f64 x #s(approx (/ (- (pow (* 0 (sin y)) 2) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (cos y))) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y)))) (*.f64 z (sin.f64 y)))
✓75.1%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
52.5%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
✓34.3%
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) y) z) y x))
37.2%
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (-.f64 (*.f64 #s(approx (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 0 binary64)) x)) y) z) y x))
52.8%
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (-.f64 (*.f64 #s(approx (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
29.0%
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (- (* (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) y) y (*.f64 (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x) x)) x)))
2.3%
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (- (* (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) y) z) y) x) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) x)))
13.1%
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (- (* (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) y) z) y) x) (/.f64 (neg.f64 (*.f64 y (fma.f64 x z (*.f64 y #s(literal 0 binary64))))) x)))
38.3%
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (- (* (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)))
✓54.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
81.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y)))))
88.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x))
87.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z))
✓37.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
64.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
46.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 #s(approx (+ (* -1/2 y) (/ (neg z) x)) (/.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) x)) y #s(literal 1 binary64))) x))
✓92.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x))
66.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) #s(approx (/ (sin y) x) (/.f64 y x))) z)) x))
68.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 (sin.f64 y) x)) z)) x))
30.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x))
50.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) (/.f64 y x)) z))) x))
6.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (-.f64 (/.f64 (/.f64 (neg.f64 z) y) x) #s(literal 1/2 binary64)) (*.f64 y y)))) x))
✓2.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) x))
✓11.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x))
47.6%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x z) y) z)))
40.9%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x y) z) y)))
✓17.4%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
17.2%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
Compiler

Compiled 3 171 to 1 186 computations (62.6% saved)

regimes97.0ms (1.9%)

Memory
3.8MiB live, 43.1MiB allocated
Counts
60 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 #s(approx (+ (* -1/2 y) (/ (neg z) x)) (*.f64 #s(literal -1/2 binary64) y)) y #s(literal 1 binary64))) x))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (- (* (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (-.f64 (*.f64 #s(approx (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (- (* (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) y) z) y) x) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 x z)) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (- (* (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) y) z) y) x) (/.f64 (neg.f64 (*.f64 y (fma.f64 x z (*.f64 y #s(literal 0 binary64))))) x)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 #s(approx (+ (* -1/2 y) (/ (neg z) x)) (/.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) x)) y #s(literal 1 binary64))) x))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (-.f64 (*.f64 #s(approx (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 0 binary64)) x)) y) z) y x))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (-.f64 (/.f64 (/.f64 (neg.f64 z) y) x) #s(literal 1/2 binary64)) (*.f64 y y)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) (/.f64 y x)) z))) x))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (- (* (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) y) y (*.f64 (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x) x)) x)))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x)) #s(literal 1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 z (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 (sin.f64 y) x)) z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) #s(approx (/ (sin y) x) (/.f64 y x))) z)) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
(-.f64 (*.f64 x #s(approx (/ (- (pow (* 0 (sin y)) 2) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (cos y))) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) z))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (neg.f64 z) (sin.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 z))))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) z))
(/.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(-.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 y))))) (*.f64 z (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(-.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y)))))
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
(-.f64 (*.f64 x (/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))))))) (*.f64 z (sin.f64 y)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

52.0ms
x
14.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
14.0ms
z
14.0ms
y
Results
AccuracySegmentsBranch
99.8%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
99.8%1x
99.8%1y
99.8%1z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes43.0ms (0.8%)

Memory
-11.4MiB live, 20.0MiB allocated
Counts
38 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 #s(approx (+ (* -1/2 y) (/ (neg z) x)) (*.f64 #s(literal -1/2 binary64) y)) y #s(literal 1 binary64))) x))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (- (* (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (-.f64 (*.f64 #s(approx (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (- (* (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) y) z) y) x) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 x z)) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (- (* (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) y) z) y) x) (/.f64 (neg.f64 (*.f64 y (fma.f64 x z (*.f64 y #s(literal 0 binary64))))) x)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 #s(approx (+ (* -1/2 y) (/ (neg z) x)) (/.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) x)) y #s(literal 1 binary64))) x))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (-.f64 (*.f64 #s(approx (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 0 binary64)) x)) y) z) y x))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (-.f64 (/.f64 (/.f64 (neg.f64 z) y) x) #s(literal 1/2 binary64)) (*.f64 y y)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) (/.f64 y x)) z))) x))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (- (* (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) y) y (*.f64 (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x) x)) x)))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x)) #s(literal 1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x))
(-.f64 (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 z (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 (sin.f64 y) x)) z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) #s(approx (/ (sin y) x) (/.f64 y x))) z)) x))
Outputs
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
Calls

4 calls:

14.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
9.0ms
y
9.0ms
z
9.0ms
x
Results
AccuracySegmentsBranch
77.4%2(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
86.3%3x
81.9%3y
88.5%3z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes26.0ms (0.5%)

Memory
13.8MiB live, 13.8MiB allocated
Counts
32 → 4
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 #s(approx (+ (* -1/2 y) (/ (neg z) x)) (*.f64 #s(literal -1/2 binary64) y)) y #s(literal 1 binary64))) x))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (- (* (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (-.f64 (*.f64 #s(approx (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (- (* (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) y) z) y) x) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 x z)) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (- (* (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) y) z) y) x) (/.f64 (neg.f64 (*.f64 y (fma.f64 x z (*.f64 y #s(literal 0 binary64))))) x)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 #s(approx (+ (* -1/2 y) (/ (neg z) x)) (/.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) x)) y #s(literal 1 binary64))) x))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (-.f64 (*.f64 #s(approx (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 0 binary64)) x)) y) z) y x))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (-.f64 (/.f64 (/.f64 (neg.f64 z) y) x) #s(literal 1/2 binary64)) (*.f64 y y)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) (/.f64 y x)) z))) x))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (- (* (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) y) y (*.f64 (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x) x)) x)))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x)) #s(literal 1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x))
Calls

3 calls:

8.0ms
y
8.0ms
z
8.0ms
x
Results
AccuracySegmentsBranch
81.4%4y
77.4%3x
77.4%3z
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes19.0ms (0.4%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
31 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 #s(approx (+ (* -1/2 y) (/ (neg z) x)) (*.f64 #s(literal -1/2 binary64) y)) y #s(literal 1 binary64))) x))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (- (* (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (-.f64 (*.f64 #s(approx (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (- (* (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) y) z) y) x) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 x z)) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (- (* (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) y) z) y) x) (/.f64 (neg.f64 (*.f64 y (fma.f64 x z (*.f64 y #s(literal 0 binary64))))) x)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 #s(approx (+ (* -1/2 y) (/ (neg z) x)) (/.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) x)) y #s(literal 1 binary64))) x))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (-.f64 (*.f64 #s(approx (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 0 binary64)) x)) y) z) y x))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (-.f64 (/.f64 (/.f64 (neg.f64 z) y) x) #s(literal 1/2 binary64)) (*.f64 y y)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) (/.f64 y x)) z))) x))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (- (* (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) y) y (*.f64 (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x) x)) x)))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x)) #s(literal 1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x))
Calls

2 calls:

9.0ms
y
8.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
67.7%3(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
78.5%3y
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes38.0ms (0.7%)

Memory
-14.6MiB live, 16.8MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 #s(approx (+ (* -1/2 y) (/ (neg z) x)) (*.f64 #s(literal -1/2 binary64) y)) y #s(literal 1 binary64))) x))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (- (* (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (-.f64 (*.f64 #s(approx (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (- (* (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) y) z) y) x) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 x z)) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (neg.f64 y) (/.f64 z x)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (- (* (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) y) z) y) x) (/.f64 (neg.f64 (*.f64 y (fma.f64 x z (*.f64 y #s(literal 0 binary64))))) x)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 #s(approx (+ (* -1/2 y) (/ (neg z) x)) (/.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) x)) y #s(literal 1 binary64))) x))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (-.f64 (*.f64 #s(approx (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 0 binary64)) x)) y) z) y x))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (-.f64 (/.f64 (/.f64 (neg.f64 z) y) x) #s(literal 1/2 binary64)) (*.f64 y y)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) (/.f64 y x)) z))) x))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (- (* (- (neg x) (+ (* -1/2 x) (/ (+ (* z z) (* (neg z) z)) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) y) y (*.f64 (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x) x)) x)))
#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) y) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x)) #s(literal 1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
Calls

4 calls:

15.0ms
x
7.0ms
y
7.0ms
z
7.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
54.0%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
54.0%1z
54.0%1x
54.0%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes4.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
Calls

4 calls:

1.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
17.4%1x
17.4%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
17.4%1y
17.4%1z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch41.0ms (0.8%)

Memory
12.3MiB live, 12.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
7.668799981158115e-123
1.8187133444353087e-99
17.0ms
-1.3937683747453794e-140
-1.7202926731306144e-149
Samples
26.0ms320×0valid
Compiler

Compiled 732 to 574 computations (21.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-cos: 8.0ms (41.7% of total)
ival-sin: 6.0ms (31.3% of total)
ival-mult: 4.0ms (20.9% of total)
ival-sub: 1.0ms (5.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch96.0ms (1.9%)

Memory
-18.7MiB live, 12.9MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
6.1963904252611615e-22
8.127534341068225e-20
17.0ms
-2069971.5725616456
-0.8238265327399078
65.0ms
-2.005765916370994e+171
-7.798426083789536e+170
Samples
27.0ms336×0valid
Compiler

Compiled 842 to 640 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-cos: 7.0ms (36.7% of total)
ival-sin: 7.0ms (36.7% of total)
ival-mult: 4.0ms (21% of total)
ival-sub: 1.0ms (5.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.3%)

Memory
5.7MiB live, 5.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
6.1963904252611615e-22
8.127534341068225e-20
15.0ms
-3.3322208564699e-5
-1.5549423333075915e-21
Samples
9.0ms160×0valid
Compiler

Compiled 692 to 507 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 2.0ms (35.8% of total)
ival-mult: 2.0ms (35.8% of total)
ival-sub: 1.0ms (17.9% of total)
ival-sin: 1.0ms (17.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify65.0ms (1.3%)

Memory
13.1MiB live, 13.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060236
1104231
2150231
3209231
4275231
5409231
6761231
71669231
83726231
97114231
Stop Event
1×node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -8567267479843001/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 7486381177314951/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -1649999999999999956232880135796068888337089723363546877171201532195623783456708056725992160391687324741146218653156770423545287001303439020961285242155680707729774155399168 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal -7566047373982433/9007199254740992 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal 6646139978924579/83076749736557242056487941267521536 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)))))
(if (<=.f64 y #s(literal -8116567392432203/295147905179352825856 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal 6646139978924579/83076749736557242056487941267521536 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -8567267479843001/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 7486381177314951/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (or (<=.f64 z #s(literal -8567267479843001/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432 binary64)) (not (<=.f64 z #s(literal 7486381177314951/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)))) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)))
(if (<=.f64 y #s(literal -1649999999999999956232880135796068888337089723363546877171201532195623783456708056725992160391687324741146218653156770423545287001303439020961285242155680707729774155399168 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal -7566047373982433/9007199254740992 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal 6646139978924579/83076749736557242056487941267521536 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)))))
(if (<=.f64 y #s(literal -8116567392432203/295147905179352825856 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal 6646139978924579/83076749736557242056487941267521536 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x))))
(if (or (<=.f64 y #s(literal -8116567392432203/295147905179352825856 binary64)) (not (<=.f64 y #s(literal 6646139978924579/83076749736557242056487941267521536 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))

soundness605.0ms (11.8%)

Memory
-15.6MiB live, 141.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02841051
19871014
23667996
08089930
097265
1344258
21199252
34495246
08267227
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 274 to 120 computations (56.2% saved)

preprocess51.0ms (1%)

Memory
14.5MiB live, 99.4MiB allocated
Compiler

Compiled 490 to 140 computations (71.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...