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

Time bar (total: 7.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.4s (20.3%)

Memory
18.1MiB live, 1 956.9MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 865.0ms
ival-cos: 386.0ms (44.6% of total)
ival-sin: 270.0ms (31.2% of total)
ival-mult: 163.0ms (18.8% of total)
ival-sub: 37.0ms (4.3% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain125.0ms (1.8%)

Memory
25.6MiB live, 397.0MiB 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
75.0ms512×0valid
Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 21.0ms (38.3% of total)
ival-cos: 18.0ms (32.8% of total)
ival-sin: 13.0ms (23.7% of total)
ival-sub: 2.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess154.0ms (2.2%)

Memory
-18.3MiB live, 197.3MiB allocated
Algorithm
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
iter limit
node limit
iter limit
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
0.4MiB live, 0.4MiB 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)

simplify82.0ms (1.2%)

Memory
-8.3MiB live, 127.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01324
12524
24124
36824
410624
522224
655424
7142024
8312524
9673924
0817724
Stop Event
iter limit
node limit
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)

localize43.0ms (0.6%)

Memory
-1.6MiB live, 43.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 y)
accuracy0.015625
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy0.0859375
(*.f64 z (sin.f64 y))
accuracy0.125
(*.f64 x (cos.f64 y))
Samples
24.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 6.0ms (37.4% of total)
ival-sin: 6.0ms (37.4% of total)
ival-mult: 3.0ms (18.7% of total)
ival-sub: 1.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB 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
z
@-inf
((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))

simplify232.0ms (3.3%)

Memory
-15.3MiB live, 219.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097265
1344258
21199252
34495246
08267227
Stop Event
iter limit
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)

rewrite367.0ms (5.2%)

Memory
-23.3MiB live, 290.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
01319
13819
223919
3244519
0836119
Stop Event
iter limit
node limit
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))))

eval33.0ms (0.5%)

Memory
-1.1MiB live, 41.2MiB allocated
Compiler

Compiled 6 250 to 698 computations (88.8% saved)

prune12.0ms (0.2%)

Memory
30.0MiB live, 30.0MiB allocated
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New19914213
Fresh000
Picked011
Done000
Total19915214
Accuracy
100.0%
Counts
214 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.1%
(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))))
49.3%
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y)))
99.8%
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
54.8%
(/.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)))
39.2%
(-.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))))
55.6%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z))))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
65.1%
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
78.1%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
52.4%
#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))
52.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
52.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
91.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
85.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z))
41.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
Compiler

Compiled 517 to 354 computations (31.5% saved)

simplify163.0ms (2.3%)

Memory
-23.7MiB live, 165.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 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
(*.f64 (/.f64 x z) (cos.f64 y))
cost-diff0
(-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y))
cost-diff0
(*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z))
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
(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-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) (sin.f64 y))
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024170
039163
167163
2120163
3214163
4352163
5631163
61332163
72788163
85471163
08412163
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(cos.f64 y)
y
x
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
z
(sin.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)
z
y
x
#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
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z))
(*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)
(-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y))
(*.f64 (/.f64 x z) (cos.f64 y))
(/.f64 x z)
x
z
(cos.f64 y)
y
(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)
(cos.f64 y)
y
x
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
z
(sin.f64 y)
Outputs
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(cos.f64 y)
y
x
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 z)
z
(sin.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)
z
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))) (*.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 z)
z
(sin.f64 y)
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 (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)) z))
(*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)
(*.f64 (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)) z)
(-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y))
(-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y))
(*.f64 (/.f64 x z) (cos.f64 y))
(*.f64 (/.f64 (cos.f64 y) z) x)
(/.f64 x z)
x
z
(cos.f64 y)
y
(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)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.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))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 z)
z
(sin.f64 y)

localize185.0ms (2.6%)

Memory
19.5MiB live, 262.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0234375
(sqrt.f64 (*.f64 (cos.f64 y) x))
accuracy0.03125
(*.f64 (neg.f64 z) (sin.f64 y))
accuracy0.0703125
(*.f64 (cos.f64 y) x)
accuracy0.14453125
(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
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z))
accuracy0.00390625
(-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y))
accuracy0.07259750976844202
(*.f64 (/.f64 x z) (cos.f64 y))
accuracy5.382249992281116
(*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)
accuracy0.0
(sin.f64 y)
accuracy0.0
(neg.f64 z)
accuracy0.03125
(*.f64 (neg.f64 z) (sin.f64 y))
accuracy18.671416198468226
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
accuracy0.0
(fma.f64 (neg.f64 z) y x)
accuracy0.0
(neg.f64 z)
accuracy15.944515301528277
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
accuracy0.0
(neg.f64 z)
accuracy0.0
(cos.f64 y)
accuracy0.03125
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
accuracy0.03125
(*.f64 (neg.f64 z) (sin.f64 y))
Samples
81.0ms129×0invalid
62.0ms127×0valid
Compiler

Compiled 151 to 23 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 110.0ms
ival-sub: 33.0ms (30% of total)
ival-add: 28.0ms (25.5% of total)
ival-cos: 27.0ms (24.6% of total)
ival-mult: 12.0ms (10.9% of total)
ival-sin: 5.0ms (4.6% of total)
ival-div: 2.0ms (1.8% of total)
ival-sqrt: 2.0ms (1.8% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series36.0ms (0.5%)

Memory
-5.1MiB live, 47.5MiB allocated
Counts
15 → 61
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(cos.f64 y)
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
(fma.f64 (neg.f64 z) y x)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
(sin.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z))
(*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)
(-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y))
(*.f64 (/.f64 x z) (cos.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)
Outputs
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(- (* x (cos y)) (* z (sin y)))
(* -1 (* y z))
(+ x (* -1 (* y z)))
(* -1 (sin y))
(- (/ (* x (cos y)) z) (sin y))
(/ (* x (cos y)) z)
(sqrt (* x (cos y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -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 (* -1/2 (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 (+ (* -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))))))))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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))))
(/ x z)
(+ (* -1 y) (/ x z))
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z))
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z))
(+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* 1/24 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* (pow y 2) (+ (* -1/720 (/ (* x (pow y 2)) z)) (* 1/24 (/ x z)))))) (/ x z))
(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))))))
(cos y)
(* y (+ (* -1 z) (/ x y)))
(sin y)
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 y) (/ x z)))
(* -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)))))
Calls

9 calls:

TimeVariablePointExpression
13.0ms
y
@inf
((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (- (* x (cos y)) (* z (sin y))) (sin y) (- (* x (cos y)) (* z (sin y))) (* (- (* (/ x z) (cos y)) (sin y)) z) (- (* (/ x z) (cos y)) (sin y)) (* (/ x z) (cos y)) (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (sqrt (* (cos y) x)) (* (cos y) x))
5.0ms
z
@0
((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (- (* x (cos y)) (* z (sin y))) (sin y) (- (* x (cos y)) (* z (sin y))) (* (- (* (/ x z) (cos y)) (sin y)) z) (- (* (/ x z) (cos y)) (sin y)) (* (/ x z) (cos y)) (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (sqrt (* (cos y) x)) (* (cos y) x))
3.0ms
x
@-inf
((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (- (* x (cos y)) (* z (sin y))) (sin y) (- (* x (cos y)) (* z (sin y))) (* (- (* (/ x z) (cos y)) (sin y)) z) (- (* (/ x z) (cos y)) (sin y)) (* (/ x z) (cos y)) (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (sqrt (* (cos y) x)) (* (cos y) x))
3.0ms
x
@inf
((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (- (* x (cos y)) (* z (sin y))) (sin y) (- (* x (cos y)) (* z (sin y))) (* (- (* (/ x z) (cos y)) (sin y)) z) (- (* (/ x z) (cos y)) (sin y)) (* (/ x z) (cos y)) (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (sqrt (* (cos y) x)) (* (cos y) x))
2.0ms
z
@-inf
((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (- (* x (cos y)) (* z (sin y))) (sin y) (- (* x (cos y)) (* z (sin y))) (* (- (* (/ x z) (cos y)) (sin y)) z) (- (* (/ x z) (cos y)) (sin y)) (* (/ x z) (cos y)) (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (sqrt (* (cos y) x)) (* (cos y) x))

simplify250.0ms (3.5%)

Memory
-23.3MiB live, 212.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0225696
1795670
22895636
36572634
08064594
Stop Event
iter limit
node limit
Counts
61 → 59
Calls
Call 1
Inputs
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(- (* x (cos y)) (* z (sin y)))
(* -1 (* y z))
(+ x (* -1 (* y z)))
(* -1 (sin y))
(- (/ (* x (cos y)) z) (sin y))
(/ (* x (cos y)) z)
(sqrt (* x (cos y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -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 (* -1/2 (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 (+ (* -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))))))))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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))))
(/ x z)
(+ (* -1 y) (/ x z))
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z))
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z))
(+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* 1/24 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* (pow y 2) (+ (* -1/720 (/ (* x (pow y 2)) z)) (* 1/24 (/ x z)))))) (/ x z))
(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))))))
(cos y)
(* y (+ (* -1 z) (/ x y)))
(sin y)
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 y) (/ x z)))
(* -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)))))
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)) (* 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 (sin y))
(neg.f64 (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y)))
(/ (* x (cos y)) z)
(/.f64 (*.f64 (cos.f64 y) x) z)
(sqrt (* x (cos y)))
(sqrt.f64 (*.f64 (cos.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)
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x)
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) 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 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) x)
(* -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 (neg.f64 z) (/.f64 (sin.f64 y) x) (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 (* -1/2 (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 (+ (* -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 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)))) y)
(+ 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)
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)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y)
(/ x z)
(/.f64 x z)
(+ (* -1 y) (/ x z))
(-.f64 (/.f64 x z) y)
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z))
(fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z))
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z))
(fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y) #s(literal 1 binary64)) y (/.f64 x z))
(+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) z)
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* 1/24 (/ (* x (pow y 2)) z)))) (/ x z))
(/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) x) z)
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* (pow y 2) (+ (* -1/720 (/ (* x (pow y 2)) z)) (* 1/24 (/ x z)))))) (/ x z))
(/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) z)
(sqrt x)
(sqrt.f64 x)
(+ (sqrt x) (* -1/4 (* (sqrt x) (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/4 binary64) #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 y y) x) #s(literal -1/48 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (*.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 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 x #s(literal -19/2880 binary64)) y) y (*.f64 #s(literal -1/48 binary64) x))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 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 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 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))
(cos y)
(cos.f64 y)
(* y (+ (* -1 z) (/ x y)))
(*.f64 (-.f64 (/.f64 x y) z) y)
(sin y)
(sin.f64 y)
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(* -1 (* y (+ z (* -1 (/ x y)))))
(*.f64 (-.f64 (/.f64 x y) z) y)
(* -1 z)
(neg.f64 z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) 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 (+ (* -1 y) (/ x z)))
(*.f64 (-.f64 (/.f64 x z) y) 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)

rewrite234.0ms (3.3%)

Memory
12.0MiB live, 203.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024127
039120
1130120
2836120
08786115
Stop Event
iter limit
node limit
iter limit
Counts
15 → 502
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(cos.f64 y)
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
(fma.f64 (neg.f64 z) y x)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
(sin.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z))
(*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)
(-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y))
(*.f64 (/.f64 x z) (cos.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)
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))) (*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))))) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))))) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) (fma.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) (*.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))
(neg.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 z)))
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (neg.f64 (sqrt.f64 (cos.f64 y)))) (sqrt.f64 x) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 z)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (neg.f64 (sqrt.f64 (cos.f64 y)))) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (neg.f64 (sqrt.f64 (cos.f64 y)))) (sqrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) (sqrt.f64 x) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 z)))
(fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
(fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) (sqrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 z)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) (*.f64 (sin.f64 y) z))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (neg.f64 (neg.f64 (sin.f64 y))) z (*.f64 x (cos.f64 y)))
(fma.f64 (fabs.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) (sqrt.f64 x) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 z)))
(fma.f64 (fabs.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
(fma.f64 (fabs.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) (sqrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (fabs.f64 (cos.f64 y)) x (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 z)))
(fma.f64 (fabs.f64 (cos.f64 y)) x (*.f64 (sin.f64 y) z))
(fma.f64 (fabs.f64 (cos.f64 y)) x (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 z)))
(fma.f64 (sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) (*.f64 (sin.f64 y) z))
(fma.f64 (sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) #s(literal 2 binary64)) x (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 z)))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) #s(literal 2 binary64)) x (*.f64 (sin.f64 y) z))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) #s(literal 2 binary64)) x (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 z)))
(fma.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) (*.f64 (sin.f64 y) z))
(fma.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 z)))
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 z)))
(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))
(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) #s(literal 1 binary64)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 z)))
(fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) z))
(fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 z)))
(fma.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (neg.f64 (sqrt.f64 x)) (*.f64 (sin.f64 y) z))
(fma.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (neg.f64 (sqrt.f64 x)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 z)))
(fma.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
(fma.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) (*.f64 x (sqrt.f64 (cos.f64 y))) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 z)))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) (*.f64 x (sqrt.f64 (cos.f64 y))) (*.f64 (sin.f64 y) z))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) (*.f64 x (sqrt.f64 (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (neg.f64 (cos.f64 y)) x (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 z)))
(fma.f64 (neg.f64 (cos.f64 y)) x (*.f64 (sin.f64 y) z))
(fma.f64 (neg.f64 (cos.f64 y)) x (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (neg.f64 (sin.f64 y)) (neg.f64 z) (*.f64 x (cos.f64 y)))
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(*.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) (*.f64 x (sqrt.f64 (cos.f64 y))))
(*.f64 (neg.f64 (cos.f64 y)) x)
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 x) (cos.f64 y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (sqrt.f64 (cos.f64 y)) (neg.f64 (*.f64 x (sqrt.f64 (cos.f64 y)))))
(*.f64 (sqrt.f64 (cos.f64 y)) (fabs.f64 (*.f64 x (sqrt.f64 (cos.f64 y)))))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 x (sqrt.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (fabs.f64 (cos.f64 y)))
(*.f64 x (neg.f64 (cos.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (cos.f64 y) (neg.f64 x))
(*.f64 (cos.f64 y) x)
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
(neg.f64 (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (neg.f64 x) (*.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (neg.f64 x)))
(fma.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) x (*.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) x))
(fma.f64 (neg.f64 x) (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (neg.f64 x) (*.f64 (cos.f64 y) #s(literal 1 binary64))))
(fma.f64 x (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 x (*.f64 (cos.f64 y) #s(literal 1 binary64))))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(+.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (neg.f64 x)) (*.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (neg.f64 x)))
(+.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) x) (*.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) x))
(+.f64 (*.f64 (neg.f64 x) (*.f64 (sin.f64 y) #s(literal 0 binary64))) (*.f64 (neg.f64 x) (*.f64 (cos.f64 y) #s(literal 1 binary64))))
(+.f64 (*.f64 x (*.f64 (sin.f64 y) #s(literal 0 binary64))) (*.f64 x (*.f64 (cos.f64 y) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (log.f64 (*.f64 x (cos.f64 y)))) (sinh.f64 (log.f64 (*.f64 x (cos.f64 y)))))

eval133.0ms (1.9%)

Memory
25.3MiB live, 209.9MiB allocated
Compiler

Compiled 15 929 to 1 565 computations (90.2% saved)

prune66.0ms (0.9%)

Memory
-30.4MiB live, 118.6MiB allocated
Pruning

25 alts after pruning (19 fresh and 6 done)

PrunedKeptTotal
New61714631
Fresh459
Picked055
Done011
Total62125646
Accuracy
100.0%
Counts
646 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.8%
(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))
57.1%
(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))))
29.6%
(fma.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
49.3%
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y)))
29.2%
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) z))
99.8%
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
78.1%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))
54.8%
(/.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)))
39.2%
(-.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))))
55.6%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z))))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
52.4%
#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))
52.1%
#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))
52.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
47.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (*.f64 (/.f64 x z) (cos.f64 y)) #s(literal 2 binary64)))))
61.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y))))
91.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
85.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
85.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z))
41.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
31.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z))
39.7%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x y) z) y)))
17.7%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
18.3%
#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)))
60.0%
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x))
Compiler

Compiled 929 to 608 computations (34.6% saved)

simplify96.0ms (1.3%)

Memory
52.5MiB live, 186.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff0
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z))))
cost-diff7
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))
cost-diff0
(/.f64 (cos.f64 y) z)
cost-diff0
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y)))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
cost-diff2
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
cost-diff0
(*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)))
cost-diff0
#s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))
cost-diff0
#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)))
cost-diff1
(*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)
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 (sin.f64 y) x)
cost-diff0
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y))
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-diff2
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
041269
066257
1123255
2256255
3590255
41883242
54420242
67221242
08287242
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#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)
#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))) #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 (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))
(*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)
(*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)))
z
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))
(*.f64 #s(literal 1/6 binary64) y)
#s(literal 1/6 binary64)
y
#s(literal -1 binary64)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y)))
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
x
(neg.f64 (sin.f64 y))
(sin.f64 y)
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z))))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))
(sqrt.f64 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) z)
(sin.f64 y)
z
Outputs
#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))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (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)
#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))) #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 (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (neg.f64 z))))
#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 (* (neg z) (sin y)) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (neg.f64 z)))
(*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (neg.f64 z))
(*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z)
z
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))
(*.f64 #s(literal 1/6 binary64) y)
#s(literal 1/6 binary64)
y
#s(literal -1 binary64)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y)))
(fma.f64 (/.f64 x z) (cos.f64 y) (neg.f64 (sin.f64 y)))
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
x
(neg.f64 (sin.f64 y))
(sin.f64 y)
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z))))
(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 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(sqrt.f64 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) z)
(sin.f64 y)
z

localize145.0ms (2%)

Memory
-46.1MiB live, 342.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.02734375
(*.f64 (sin.f64 y) z)
accuracy0.06640625
(*.f64 x (cos.f64 y))
accuracy0.21322250976844204
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))
accuracy3.9918015269801352
(sqrt.f64 (*.f64 (sin.f64 y) z))
accuracy0.0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
accuracy0.0625
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y)))
accuracy0.07421875
(/.f64 (cos.f64 y) z)
accuracy5.897264111965537
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
accuracy0.15234375
(*.f64 #s(literal 1/6 binary64) y)
accuracy2.134170770137392
(*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)))
accuracy15.486283334632528
#s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))
accuracy18.532769938365934
#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)))
accuracy0.0
(*.f64 (neg.f64 y) z)
accuracy0.0
(neg.f64 y)
accuracy15.257891637097037
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
accuracy15.795853636838753
#s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))
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))
accuracy0.0546875
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y))
accuracy0.0546875
(/.f64 (sin.f64 y) x)
accuracy2.388292429582241
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
Samples
76.0ms126×0invalid
38.0ms130×0valid
Compiler

Compiled 209 to 36 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 26.0ms (44.1% of total)
ival-cos: 7.0ms (11.9% of total)
ival-sin: 5.0ms (8.5% of total)
ival-add: 4.0ms (6.8% of total)
const: 4.0ms (6.8% of total)
ival-div: 3.0ms (5.1% of total)
ival-sqrt: 3.0ms (5.1% of total)
ival-neg: 3.0ms (5.1% of total)
ival-sub: 2.0ms (3.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series46.0ms (0.7%)

Memory
12.1MiB live, 107.2MiB allocated
Counts
23 → 87
Calls
Call 1
Inputs
(*.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 (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)
#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)
(*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)
#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 (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))
(*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y)))
(/.f64 (cos.f64 y) z)
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z))))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 #s(literal 1/6 binary64) y)
(sqrt.f64 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) z)
Outputs
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(- (* x (cos y)) (* z (sin y)))
(* -1 (/ (* z (sin y)) x))
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)
(/ (sin y) x)
(* -1 (* y z))
(+ x (* -1 (* y z)))
(* -1 (sin y))
(- (/ (* x (cos y)) z) (sin y))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(/ (* x (cos y)) z)
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
1
(+ 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)))
(* -1 y)
(* 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))))))))
(* -1 z)
(+ (* -1 z) (* 1/6 (* (pow y 2) z)))
(/ x z)
(+ (* -1 y) (/ x z))
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z))
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z))
(/ 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))
(* 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 (* -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 (* -1/2 (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)))
(* 1/6 y)
(sqrt (* y z))
(+ (sqrt (* y z)) (* -1/12 (sqrt (* (pow y 5) z))))
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* 1/240 (sqrt (* (pow y 3) z))))))
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ z y))) (* 1/240 (sqrt (/ z y))))))))
(* y (+ (* -1 z) (/ x y)))
(* 1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* 1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(/ (cos y) z)
(* z (sin y))
(sqrt (* z (sin y)))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* z (- (* 1/6 (pow y 2)) 1))
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* z (+ (* -1 y) (/ x z)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (* (sin y) (pow (sqrt -1) 2))))
(* z (* (sin y) (pow (sqrt -1) 2)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* (sin y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* z (sin y))) (pow (sqrt -1) 2)))
Calls

9 calls:

TimeVariablePointExpression
13.0ms
z
@-inf
((* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (* (* z (+ (* (* 1/6 y) y) -1)) y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (* z (+ (* (* 1/6 y) y) -1)) (* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (cos y) z) x) (neg (sin y))) (/ (cos y) z) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (- (* x (cos y)) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z)))) (* x (cos y)) (cos y) (* 1/6 y) (sqrt (* (sin y) z)) (* (sin y) z))
10.0ms
y
@inf
((* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (* (* z (+ (* (* 1/6 y) y) -1)) y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (* z (+ (* (* 1/6 y) y) -1)) (* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (cos y) z) x) (neg (sin y))) (/ (cos y) z) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (- (* x (cos y)) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z)))) (* x (cos y)) (cos y) (* 1/6 y) (sqrt (* (sin y) z)) (* (sin y) z))
5.0ms
y
@-inf
((* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (* (* z (+ (* (* 1/6 y) y) -1)) y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (* z (+ (* (* 1/6 y) y) -1)) (* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (cos y) z) x) (neg (sin y))) (/ (cos y) z) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (- (* x (cos y)) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z)))) (* x (cos y)) (cos y) (* 1/6 y) (sqrt (* (sin y) z)) (* (sin y) z))
4.0ms
z
@0
((* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (* (* z (+ (* (* 1/6 y) y) -1)) y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (* z (+ (* (* 1/6 y) y) -1)) (* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (cos y) z) x) (neg (sin y))) (/ (cos y) z) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (- (* x (cos y)) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z)))) (* x (cos y)) (cos y) (* 1/6 y) (sqrt (* (sin y) z)) (* (sin y) z))
4.0ms
z
@inf
((* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (* (* z (+ (* (* 1/6 y) y) -1)) y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (* z (+ (* (* 1/6 y) y) -1)) (* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (- (* x (cos y)) (* z (sin y))) (+ (* (/ (cos y) z) x) (neg (sin y))) (/ (cos y) z) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (- (* x (cos y)) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z)))) (* x (cos y)) (cos y) (* 1/6 y) (sqrt (* (sin y) z)) (* (sin y) z))

simplify163.0ms (2.3%)

Memory
19.5MiB live, 248.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0276933
1971909
23493870
37961870
08014818
Stop Event
iter limit
node limit
Counts
87 → 86
Calls
Call 1
Inputs
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(- (* x (cos y)) (* z (sin y)))
(* -1 (/ (* z (sin y)) x))
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)
(/ (sin y) x)
(* -1 (* y z))
(+ x (* -1 (* y z)))
(* -1 (sin y))
(- (/ (* x (cos y)) z) (sin y))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(/ (* x (cos y)) z)
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
1
(+ 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)))
(* -1 y)
(* 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))))))))
(* -1 z)
(+ (* -1 z) (* 1/6 (* (pow y 2) z)))
(/ x z)
(+ (* -1 y) (/ x z))
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z))
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z))
(/ 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))
(* 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 (* -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 (* -1/2 (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)))
(* 1/6 y)
(sqrt (* y z))
(+ (sqrt (* y z)) (* -1/12 (sqrt (* (pow y 5) z))))
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* 1/240 (sqrt (* (pow y 3) z))))))
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ z y))) (* 1/240 (sqrt (/ z y))))))))
(* y (+ (* -1 z) (/ x y)))
(* 1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* 1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(/ (cos y) z)
(* z (sin y))
(sqrt (* z (sin y)))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* z (- (* 1/6 (pow y 2)) 1))
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* z (+ (* -1 y) (/ x z)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (* (sin y) (pow (sqrt -1) 2))))
(* z (* (sin y) (pow (sqrt -1) 2)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* (sin y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* z (sin y))) (pow (sqrt -1) 2)))
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)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -1 (/ (* z (sin y)) x))
(*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))
(/ (+ (* -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 (* y z))
(*.f64 (neg.f64 y) z)
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(* -1 (sin y))
(neg.f64 (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y)))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(cos y)
(cos.f64 y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(-.f64 x (*.f64 z y))
(/ (* x (cos y)) z)
(/.f64 (*.f64 (cos.f64 y) x) z)
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (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 (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y)))
(+ 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)
(+ 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
#s(literal 1 binary64)
(+ 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 (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) y y) x)
(* 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 y x))
(* 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 (pow.f64 y #s(literal 4 binary64)) x) #s(literal -1/5040 binary64) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (/.f64 y x))
(* -1 y)
(neg.f64 y)
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(*.f64 z (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 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 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)))) y)
(* -1 z)
(neg.f64 z)
(+ (* -1 z) (* 1/6 (* (pow y 2) z)))
(*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)))
(/ x z)
(/.f64 x z)
(+ (* -1 y) (/ x z))
(-.f64 (/.f64 x z) y)
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z))
(fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z))
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z))
(fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y) #s(literal 1 binary64)) y (/.f64 x z))
(/ 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 (pow.f64 y #s(literal 4 binary64)) z) #s(literal -1/720 binary64) (/.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))
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 z (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) 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 (* -1/2 (* x (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x 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 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x x))
(+ 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))
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(sqrt (* y z))
(sqrt.f64 (*.f64 z y))
(+ (sqrt (* y z)) (* -1/12 (sqrt (* (pow y 5) z))))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) z)) #s(literal -1/12 binary64) (sqrt.f64 (*.f64 z y)))
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* 1/240 (sqrt (* (pow y 3) z))))))
(fma.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) #s(literal 1/240 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal -1/12 binary64))) (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (*.f64 z y)))
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ z y))) (* 1/240 (sqrt (/ z y))))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 z y)) (fma.f64 #s(literal 1/1440 binary64) (*.f64 y y) #s(literal -1/12 binary64))) (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (*.f64 z y)))
(* y (+ (* -1 z) (/ x y)))
(*.f64 (-.f64 (/.f64 x y) z) y)
(* 1/6 (* (pow y 3) z))
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) #s(literal 1/6 binary64))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) z (/.f64 (/.f64 z y) y)))
(* 1/6 (* (pow y 2) z))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(*.f64 (*.f64 z (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal -1/6 binary64))) (*.f64 y y))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(sqrt (* z (sin y)))
(sqrt.f64 (*.f64 (sin.f64 y) z))
(* -1 (* y (+ z (* -1 (/ x y)))))
(*.f64 (-.f64 (/.f64 x y) z) y)
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) z (/.f64 (/.f64 z y) y)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(*.f64 z (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 y)))
(* z (- (* 1/6 (pow y 2)) 1))
(*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)))
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) 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 (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(* z (+ (* -1 y) (/ x z)))
(*.f64 (-.f64 (/.f64 x z) y) 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 (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(* -1 (* z (+ y (* -1 (/ x z)))))
(*.f64 (-.f64 (/.f64 x z) y) z)
(* -1 (* z (* (sin y) (pow (sqrt -1) 2))))
(*.f64 (sin.f64 y) z)
(* z (* (sin y) (pow (sqrt -1) 2)))
(*.f64 (neg.f64 z) (sin.f64 y))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* (sin y) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(* -1 (* (sqrt (* z (sin y))) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (sin.f64 y) z))

rewrite191.0ms (2.7%)

Memory
16.2MiB live, 430.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041233
066219
1209217
21341215
08415207
Stop Event
iter limit
node limit
iter limit
Counts
23 → 426
Calls
Call 1
Inputs
(*.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 (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)
#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)
(*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)
#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 (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))
(*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y)))
(/.f64 (cos.f64 y) z)
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z))))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 #s(literal 1/6 binary64) y)
(sqrt.f64 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) z)
Outputs
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) (*.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x)))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (*.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) (*.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (*.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x)) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x)))) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x)) (neg.f64 (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (cos.f64 y) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))))
(fma.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x))
(fma.f64 (cos.f64 y) x (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))))
(fma.f64 x (*.f64 z (/.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x))
(fma.f64 x (cos.f64 y) (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))))
(+.f64 (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)))))) (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y))) (/.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y))) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y))) (*.f64 (/.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)))))))
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(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal 1/6 binary64) y)
(*.f64 y #s(literal 1/6 binary64))
(*.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)))) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sqrt.f64 (*.f64 z (*.f64 z (sin.f64 y))))))
(*.f64 (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) z) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 z z) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z (*.f64 z (sin.f64 y))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 z (*.f64 z (sin.f64 y)))) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 z))
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/2 binary64))
(neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))
(sqrt.f64 (*.f64 z (sin.f64 y)))
(fabs.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (/.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))) (sinh.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)))) (sqrt.f64 z))
(*.f64 (fabs.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) z)) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)) z)
(*.f64 (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) z) #s(literal 1/2 binary64)) (sqrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 z (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y))) (sqrt.f64 z))
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (sqrt.f64 z) (pow.f64 (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sin.f64 y)) (fabs.f64 (sqrt.f64 (*.f64 z (*.f64 z (sin.f64 y))))))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 z (*.f64 z (sin.f64 y)))))
(*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) (fabs.f64 z))
(*.f64 (sin.f64 y) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 (sin.f64 y) z)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))
(neg.f64 (*.f64 z (sin.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 z (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(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)))))

eval81.0ms (1.1%)

Memory
-17.1MiB live, 267.4MiB allocated
Compiler

Compiled 17 205 to 1 996 computations (88.4% saved)

prune84.0ms (1.2%)

Memory
35.9MiB live, 115.4MiB allocated
Pruning

31 alts after pruning (21 fresh and 10 done)

PrunedKeptTotal
New52412536
Fresh5914
Picked145
Done066
Total53031561
Accuracy
100.0%
Counts
561 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.6%
(fma.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
49.3%
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y)))
29.2%
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) z))
99.8%
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
78.1%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))
54.8%
(/.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)))
55.6%
(-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
52.1%
#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))
52.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
47.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (*.f64 (/.f64 x z) (cos.f64 y)) #s(literal 2 binary64)))))
61.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y))))
58.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y))))
91.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
85.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
85.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z))
41.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
31.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z))
29.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) x))
91.2%
#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))
60.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x))
39.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))
45.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (/.f64 (*.f64 (cos.f64 y) x) z)) z))
39.7%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x y) z) y)))
17.7%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
18.3%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z (*.f64 #s(literal 1/6 binary64) y)) y (neg.f64 z)) y)))
18.3%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y) (neg.f64 z)) y)))
18.3%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z #s(literal 1/6 binary64)) (*.f64 y y) (neg.f64 z)) y)))
18.3%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y))))
18.3%
#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)))
3.3%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 #s(approx (* z (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)) y)))
Compiler

Compiled 1 252 to 819 computations (34.6% saved)

simplify197.0ms (2.8%)

Memory
-39.5MiB live, 141.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff0
(sqrt.f64 (*.f64 x (cos.f64 y)))
cost-diff7
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) z))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) (sin.f64 y))
cost-diff0
#s(approx (cos y) #s(literal 1 binary64))
cost-diff0
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))
cost-diff0
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))
cost-diff0
#s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y)))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y))))
cost-diff1
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y))
cost-diff0
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos 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)) #s(literal 1 binary64)) x))
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))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042298
068292
1117286
2212286
3444286
41082283
52743283
64585283
76739283
08081282
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#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
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y))))
#s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))
(*.f64 #s(literal 1/6 binary64) y)
#s(literal 1/6 binary64)
y
#s(literal -1 binary64)
(*.f64 z y)
z
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
x
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
z
(sin.f64 y)
y
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) z))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 (sin.f64 y) z)
(sin.f64 y)
z
Outputs
#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
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (neg.f64 z))))
#s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y)))
#s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (neg.f64 z)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (neg.f64 z))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))
(*.f64 #s(literal 1/6 binary64) y)
#s(literal 1/6 binary64)
y
#s(literal -1 binary64)
(*.f64 z y)
z
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (sin.f64 y) (neg.f64 z)))
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
x
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 z)
z
(sin.f64 y)
y
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
x
(cos.f64 y)
y
(*.f64 (sin.f64 y) z)
(sin.f64 y)
z

localize163.0ms (2.3%)

Memory
-12.4MiB live, 128.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0234375
(sqrt.f64 (*.f64 x (cos.f64 y)))
accuracy0.03125
(*.f64 (sin.f64 y) z)
accuracy0.0703125
(*.f64 x (cos.f64 y))
accuracy0.14453125
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) z))
accuracy0.0
(neg.f64 z)
accuracy0.03125
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))
accuracy0.03125
(*.f64 (neg.f64 z) (sin.f64 y))
accuracy14.691109461889369
#s(approx (cos y) #s(literal 1 binary64))
accuracy0.0390625
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))
accuracy0.1796875
(*.f64 #s(literal 1/6 binary64) y)
accuracy16.034623656107435
#s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y)))
accuracy18.671416198468226
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y))))
accuracy0.0
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))
accuracy2.8638820386273443
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)
accuracy19.12589167931395
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64))
accuracy0.0703125
(/.f64 (sin.f64 y) x)
accuracy0.078125
(/.f64 (cos.f64 y) z)
accuracy0.109375
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
accuracy2.8638820386273443
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)
Samples
77.0ms127×0valid
33.0ms129×0invalid
Compiler

Compiled 204 to 33 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-add: 35.0ms (45.5% of total)
ival-mult: 19.0ms (24.7% of total)
ival-cos: 6.0ms (7.8% of total)
ival-sin: 5.0ms (6.5% of total)
ival-div: 3.0ms (3.9% of total)
const: 3.0ms (3.9% of total)
ival-sub: 2.0ms (2.6% of total)
ival-sqrt: 2.0ms (2.6% of total)
ival-neg: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series23.0ms (0.3%)

Memory
33.5MiB live, 33.5MiB allocated
Counts
23 → 77
Calls
Call 1
Inputs
#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)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y))))
#s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (cos y) #s(literal 1 binary64))
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) z))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(/.f64 (cos.f64 y) z)
(/.f64 (sin.f64 y) x)
(*.f64 #s(literal 1/6 binary64) y)
(*.f64 (sin.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)
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(sqrt (* x (cos y)))
(* x (cos y))
(/ (sin y) x)
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -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 (* -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 (* y z))
(* 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))))))))
-1
(- (* 1/6 (pow y 2)) 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)))
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(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))))))
(/ 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))
(/ 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)))
(* 1/6 y)
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(* 1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* 1/6 (pow y 2))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(/ (cos y) z)
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* -1 z)
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* z (+ (sin y) (/ (* x (cos y)) 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 (sin y)) (* -1 (/ (* x (cos y)) z)))))
Calls

9 calls:

TimeVariablePointExpression
3.0ms
z
@-inf
((- (* 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) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (+ (* (* 1/6 y) y) -1) (* z y)) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (+ (* (* 1/6 y) y) -1) (+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (+ (* (sqrt (* x (cos y))) (sqrt (* x (cos y)))) (* (sin y) z)) (sqrt (* x (cos y))) (* x (cos y)) (cos y) (/ (cos y) z) (/ (sin y) x) (* 1/6 y) (* (sin y) z))
3.0ms
z
@inf
((- (* 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) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (+ (* (* 1/6 y) y) -1) (* z y)) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (+ (* (* 1/6 y) y) -1) (+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (+ (* (sqrt (* x (cos y))) (sqrt (* x (cos y)))) (* (sin y) z)) (sqrt (* x (cos y))) (* x (cos y)) (cos y) (/ (cos y) z) (/ (sin y) x) (* 1/6 y) (* (sin y) z))
3.0ms
y
@-inf
((- (* 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) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (+ (* (* 1/6 y) y) -1) (* z y)) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (+ (* (* 1/6 y) y) -1) (+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (+ (* (sqrt (* x (cos y))) (sqrt (* x (cos y)))) (* (sin y) z)) (sqrt (* x (cos y))) (* x (cos y)) (cos y) (/ (cos y) z) (/ (sin y) x) (* 1/6 y) (* (sin y) z))
3.0ms
y
@inf
((- (* 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) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (+ (* (* 1/6 y) y) -1) (* z y)) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (+ (* (* 1/6 y) y) -1) (+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (+ (* (sqrt (* x (cos y))) (sqrt (* x (cos y)))) (* (sin y) z)) (sqrt (* x (cos y))) (* x (cos y)) (cos y) (/ (cos y) z) (/ (sin y) x) (* 1/6 y) (* (sin y) z))
3.0ms
x
@-inf
((- (* 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) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (+ (* (* 1/6 y) y) -1) (* z y)) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (+ (* (* 1/6 y) y) -1) (+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (+ (* (sqrt (* x (cos y))) (sqrt (* x (cos y)))) (* (sin y) z)) (sqrt (* x (cos y))) (* x (cos y)) (cos y) (/ (cos y) z) (/ (sin y) x) (* 1/6 y) (* (sin y) z))

simplify365.0ms (5.1%)

Memory
-2.1MiB live, 270.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0268865
1943838
23520806
08275747
Stop Event
iter limit
node limit
Counts
77 → 76
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)
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(sqrt (* x (cos y)))
(* x (cos y))
(/ (sin y) x)
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -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 (* -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 (* y z))
(* 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))))))))
-1
(- (* 1/6 (pow y 2)) 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)))
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(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))))))
(/ 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))
(/ 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)))
(* 1/6 y)
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(* 1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* 1/6 (pow y 2))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(/ (cos y) z)
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* -1 z)
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* z (+ (sin y) (/ (* x (cos y)) 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 (sin y)) (* -1 (/ (* x (cos y)) 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)
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(sqrt (* x (cos y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (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))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (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)
(+ 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
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* y z) x)))
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64))
(+ 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 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) x) #s(literal 1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(*.f64 z (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 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 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)))) y)
-1
#s(literal -1 binary64)
(- (* 1/6 (pow y 2)) 1)
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #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))
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x)
(+ x (* y (+ 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 z) y x)
(sqrt x)
(sqrt.f64 x)
(+ (sqrt x) (* -1/4 (* (sqrt x) (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/4 binary64) #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y y)) (*.f64 (*.f64 #s(literal -1/48 binary64) x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (*.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 (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))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 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 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 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))
(/ 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 (pow.f64 y #s(literal 4 binary64)) z) #s(literal -1/720 binary64) (/.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))
(/ y x)
(/.f64 y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) 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 y x))
(* 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 (pow.f64 y #s(literal 4 binary64)) x) #s(literal -1/5040 binary64) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (/.f64 y x))
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 z (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) 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))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(* 1/6 (* (pow y 3) z))
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) #s(literal 1/6 binary64))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) z (/.f64 z (*.f64 y y))))
(* 1/6 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) z (/.f64 z (*.f64 y y))))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(*.f64 z (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 y)))
(* -1 z)
(neg.f64 z)
(* 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 (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) 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 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)

rewrite271.0ms (3.8%)

Memory
-24.4MiB live, 281.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042262
068256
1208250
21332250
08623249
Stop Event
iter limit
node limit
iter limit
Counts
23 → 299
Calls
Call 1
Inputs
#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)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y))))
#s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (cos y) #s(literal 1 binary64))
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) z))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(/.f64 (cos.f64 y) z)
(/.f64 (sin.f64 y) x)
(*.f64 #s(literal 1/6 binary64) y)
(*.f64 (sin.f64 y) z)
Outputs
#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)
(*.f64 x #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)))
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z))
(*.f64 (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) x) (/.f64 z z))
(*.f64 (/.f64 z z) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) x))
(*.f64 (/.f64 z x) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) z))
(*.f64 (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) z) (/.f64 z x))
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (/.f64 (sin.f64 y) x) #s(literal 2 binary64))) z)) (neg.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 y) x) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) z)) (neg.f64 (*.f64 z x)))
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (/.f64 (sin.f64 y) x) #s(literal 2 binary64))))) (neg.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z))))
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 y) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 z (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)))) (neg.f64 (*.f64 z x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (/.f64 (sin.f64 y) x) #s(literal 2 binary64))) z) (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 y) x) #s(literal 3 binary64))) z) (fma.f64 (/.f64 (sin.f64 y) x) (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) z) (*.f64 z x))
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (/.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)))
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (fma.f64 (/.f64 (sin.f64 y) x) (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 2 binary64))))
(/.f64 (*.f64 z (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))) (*.f64 z x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)
(*.f64 x #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)))
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) y) z)
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y)
(*.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y))
(*.f64 z (*.f64 y (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))))
(*.f64 y (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (*.f64 z y))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) #s(literal -1 binary64))))
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(fma.f64 x (cos.f64 y) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) z))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))))
(-.f64 (/.f64 (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)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (neg.f64 x) (cos.f64 y)))
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (neg.f64 (cos.f64 y)) x))
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) z))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))
(*.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x))) (sqrt.f64 (sqrt.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 (cos.f64 y) x)))))
(*.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 y) x) (cos.f64 y)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 y) x) x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (*.f64 (cos.f64 y) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 (cos.f64 y) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1/2 binary64))
(neg.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(fabs.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)))
(exp.f64 (/.f64 (log.f64 (*.f64 (cos.f64 y) x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)))) (sinh.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)))))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x))) (sqrt.f64 (cos.f64 y)))
(*.f64 (fabs.f64 x) (cos.f64 y))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) (cos.f64 y))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (cos.f64 y))
(*.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 y) x) (cos.f64 y)) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) (sqrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x (*.f64 (cos.f64 y) x))))
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (*.f64 x (*.f64 (cos.f64 y) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (fabs.f64 (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 (cos.f64 y) x)))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 (cos.f64 y) x))))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) (fabs.f64 x))
(*.f64 (cos.f64 y) x)
(*.f64 x (pow.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) #s(literal 2 binary64)))
(*.f64 x (cos.f64 y))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64))
(neg.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (cos.f64 y) x))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal 1/2 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 (neg.f64 (sqrt.f64 (cos.f64 y))) (neg.f64 (sqrt.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
(pow.f64 (cos.f64 y) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 #s(literal 0 binary64) (sin.f64 y)))
(fma.f64 (sin.f64 y) #s(literal 0 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 y)) (/.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))
(sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (cos.f64 y)))
(fabs.f64 (cos.f64 y))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 y))))
(cos.f64 (neg.f64 (neg.f64 y)))
(cos.f64 (neg.f64 y))
(cos.f64 y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 y))) #s(literal 2 binary64)))
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y)))
(+.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 y)))) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 (cos.f64 y))) z)
(/.f64 (neg.f64 (cos.f64 y)) (neg.f64 z))
(/.f64 (cos.f64 y) z)
(neg.f64 (/.f64 (cos.f64 y) (neg.f64 z)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 y)))) (neg.f64 (neg.f64 (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 #s(literal 1/6 binary64) y)
(*.f64 y #s(literal 1/6 binary64))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(neg.f64 (*.f64 (sin.f64 y) (neg.f64 z)))

eval74.0ms (1%)

Memory
34.6MiB live, 122.3MiB allocated
Compiler

Compiled 13 199 to 1 560 computations (88.2% saved)

prune44.0ms (0.6%)

Memory
-26.4MiB live, 112.5MiB allocated
Pruning

32 alts after pruning (20 fresh and 12 done)

PrunedKeptTotal
New4728480
Fresh41216
Picked055
Done3710
Total47932511
Accuracy
100.0%
Counts
511 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.6%
(fma.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
49.3%
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y)))
29.2%
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) z))
99.8%
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
78.1%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))
42.6%
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (sin.f64 y) z)))
55.6%
(-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
52.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
47.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (*.f64 (/.f64 x z) (cos.f64 y)) #s(literal 2 binary64)))))
61.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y))))
58.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y))))
85.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z))
41.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
31.4%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z))
47.5%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64))) x))
61.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (/.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) z) (*.f64 z x))) x))
29.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) x))
91.2%
#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))
33.3%
#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))
60.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x))
39.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))
45.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (/.f64 (*.f64 (cos.f64 y) x) z)) z))
39.7%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x y) z) y)))
17.7%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
18.3%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z (*.f64 #s(literal 1/6 binary64) y)) y (neg.f64 z)) y)))
18.3%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y))))
3.3%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 #s(approx (+ (* (* 1/6 y) y) -1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 z y))))
3.3%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 #s(approx (* z (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)) y)))
37.1%
#s(approx (+ (* (sqrt (* x (cos y))) (sqrt (* x (cos y)))) (* (sin y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x))
38.4%
#s(approx (+ (* (sqrt (* x (cos y))) (sqrt (* x (cos y)))) (* (sin y) z)) (fma.f64 z y x))
44.8%
#s(approx (+ (* (sqrt (* x (cos y))) (sqrt (* x (cos y)))) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
Compiler

Compiled 1 918 to 748 computations (61% saved)

regimes75.0ms (1.1%)

Memory
17.9MiB live, 119.3MiB allocated
Counts
49 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* (sqrt (* x (cos y))) (sqrt (* x (cos y)))) (* (sin y) z)) (fma.f64 z y x))
#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 (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z))
#s(approx (+ (* (sqrt (* x (cos y))) (sqrt (* x (cos y)))) (* (sin y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y 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))) (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 (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 #s(approx (* z (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 #s(approx (+ (* (* 1/6 y) y) -1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 z y))))
#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 (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z #s(literal 1/6 binary64)) (*.f64 y y) (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y) (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z (*.f64 #s(literal 1/6 binary64) y)) y (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (neg.f64 y) (/.f64 z x) #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 (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 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))) (*.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)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (/.f64 (*.f64 (cos.f64 y) x) z)) z))
#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))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (+ (* (sqrt (* x (cos y))) (sqrt (* x (cos y)))) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
#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 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
#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 (*.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (/.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) z) (*.f64 z x))) x))
(-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) z))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z))))
(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))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (sin.f64 y) z)))
(/.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)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (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))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (*.f64 (/.f64 x z) (cos.f64 y)) #s(literal 2 binary64)))))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

33.0ms
x
14.0ms
y
12.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
12.0ms
z
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)

regimes72.0ms (1%)

Memory
-18.9MiB live, 71.0MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* (sqrt (* x (cos y))) (sqrt (* x (cos y)))) (* (sin y) z)) (fma.f64 z y x))
#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 (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z))
#s(approx (+ (* (sqrt (* x (cos y))) (sqrt (* x (cos y)))) (* (sin y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y 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))) (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 (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 #s(approx (* z (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 #s(approx (+ (* (* 1/6 y) y) -1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 z y))))
#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 (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z #s(literal 1/6 binary64)) (*.f64 y y) (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y) (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z (*.f64 #s(literal 1/6 binary64) y)) y (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (neg.f64 y) (/.f64 z x) #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 (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 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))) (*.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)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (neg (sin y))) (/.f64 (*.f64 (cos.f64 y) x) z)) z))
#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))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) x))
Outputs
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
Calls

4 calls:

44.0ms
y
12.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
8.0ms
z
7.0ms
x
Results
AccuracySegmentsBranch
79.8%2(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
88.5%3x
78.1%1y
88.5%3z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes76.0ms (1.1%)

Memory
13.4MiB live, 57.9MiB allocated
Counts
22 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* (sqrt (* x (cos y))) (sqrt (* x (cos y)))) (* (sin y) z)) (fma.f64 z y x))
#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 (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z))
#s(approx (+ (* (sqrt (* x (cos y))) (sqrt (* x (cos y)))) (* (sin y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y 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))) (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 (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 #s(approx (* z (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 #s(approx (+ (* (* 1/6 y) y) -1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 z y))))
#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 (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z #s(literal 1/6 binary64)) (*.f64 y y) (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y) (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z (*.f64 #s(literal 1/6 binary64) y)) y (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (neg.f64 y) (/.f64 z x) #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 (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 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))) (*.f64 (neg.f64 z) (sin.f64 y)))
Outputs
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x))
Calls

4 calls:

57.0ms
y
6.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
6.0ms
x
6.0ms
z
Results
AccuracySegmentsBranch
80.5%5y
64.6%3(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
78.9%3x
73.3%3z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes13.0ms (0.2%)

Memory
24.3MiB live, 24.3MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* (sqrt (* x (cos y))) (sqrt (* x (cos y)))) (* (sin y) z)) (fma.f64 z y x))
#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 (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z))
#s(approx (+ (* (sqrt (* x (cos y))) (sqrt (* x (cos y)))) (* (sin y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y 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))) (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 (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 #s(approx (* z (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 #s(approx (+ (* (* 1/6 y) y) -1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 z y))))
#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 (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z #s(literal 1/6 binary64)) (*.f64 y y) (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y) (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z (*.f64 #s(literal 1/6 binary64) y)) y (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (neg.f64 y) (/.f64 z x) #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 (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x))
Outputs
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) 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 (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x))
Calls

2 calls:

6.0ms
x
6.0ms
y
Results
AccuracySegmentsBranch
75.0%3y
71.3%3x
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes30.0ms (0.4%)

Memory
-39.3MiB live, 59.8MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* (sqrt (* x (cos y))) (sqrt (* x (cos y)))) (* (sin y) z)) (fma.f64 z y x))
#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 (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z))
#s(approx (+ (* (sqrt (* x (cos y))) (sqrt (* x (cos y)))) (* (sin y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y 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))) (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 (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 #s(approx (* z (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 #s(approx (+ (* (* 1/6 y) y) -1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 z y))))
#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 (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z #s(literal 1/6 binary64)) (*.f64 y y) (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y) (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z (*.f64 #s(literal 1/6 binary64) y)) y (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (neg.f64 y) (/.f64 z x) #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))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
Calls

4 calls:

10.0ms
y
5.0ms
x
5.0ms
z
5.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
52.9%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
52.9%1x
52.9%1z
52.9%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes7.0ms (0.1%)

Memory
18.8MiB live, 18.8MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* (sqrt (* x (cos y))) (sqrt (* x (cos y)))) (* (sin y) z)) (fma.f64 z y x))
#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))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))
#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))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))
Calls

4 calls:

2.0ms
z
2.0ms
x
2.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
y
Results
AccuracySegmentsBranch
39.2%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
46.1%3x
39.2%1y
43.6%3z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes4.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB allocated
Accuracy

Total -1.0b remaining (-2.6%)

Threshold costs -1b (-2.6%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* (sqrt (* x (cos y))) (sqrt (* x (cos y)))) (* (sin y) z)) (fma.f64 z y x))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))
Calls

3 calls:

1.0ms
x
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
39.2%1y
39.2%1z
39.2%1x
Compiler

Compiled 3 to 9 computations (-200% saved)

bsearch23.0ms (0.3%)

Memory
-10.5MiB live, 35.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
1.322089514151449e-35
1.4634830038487587e-35
19.0ms
-1.4660223401121046e-176
-3.371012042002486e-180
Samples
15.0ms144×0valid
Compiler

Compiled 309 to 248 computations (19.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (35.4% of total)
ival-cos: 3.0ms (26.5% of total)
ival-sin: 3.0ms (26.5% of total)
ival-sub: 1.0ms (8.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch62.0ms (0.9%)

Memory
-31.0MiB live, 76.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
31.0ms
3.1093949236146524e-119
3.0120608391644316e-109
16.0ms
-3225.3398436295793
-0.37003207140872496
Samples
36.0ms288×0valid
Compiler

Compiled 678 to 518 computations (23.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-cos: 17.0ms (59.3% of total)
ival-sin: 6.0ms (20.9% of total)
ival-mult: 4.0ms (14% of total)
ival-sub: 1.0ms (3.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch57.0ms (0.8%)

Memory
25.9MiB live, 118.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
907637.1443987741
2688997086306485.5
30.0ms
-37151514803680130.0
-0.0036986594462887446
Samples
40.0ms304×0valid
Compiler

Compiled 905 to 641 computations (29.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-cos: 7.0ms (34.9% of total)
ival-sin: 7.0ms (34.9% of total)
ival-mult: 4.0ms (20% of total)
ival-sub: 1.0ms (5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch37.0ms (0.5%)

Memory
-18.8MiB live, 126.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.993200793908776e-175
2.941770407711619e-171
17.0ms
-1.1506650288174765e-35
-1.4634986492579525e-37
Samples
23.0ms240×0valid
Compiler

Compiled 687 to 509 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-cos: 5.0ms (36.4% of total)
ival-sin: 4.0ms (29.1% of total)
ival-mult: 3.0ms (21.8% of total)
ival-sub: 1.0ms (7.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify57.0ms (0.8%)

Memory
41.7MiB live, 83.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075222
1137219
2208219
3302219
4426219
5705219
61439219
73030219
87482219
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -8269423619440229/570305077202774402330146450712536415611653563406069991322399064737409395901084673313239101414671424972330288696699300913836088090171929749781582664965276773531499334295033118760359274030825472 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 315684353663475/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 x #s(literal -7746191359077253/18014398509481984 binary64)) #s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 5415370496329717/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -8106479329266893/18014398509481984 binary64)) #s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 920000 binary64)) #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 (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
(if (<=.f64 x #s(literal -7423025276069149/47890485652059026823698344598447161988085597568237568 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 5438853046443695/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288 binary64)) #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))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -8269423619440229/570305077202774402330146450712536415611653563406069991322399064737409395901084673313239101414671424972330288696699300913836088090171929749781582664965276773531499334295033118760359274030825472 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 315684353663475/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (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 -8269423619440229/570305077202774402330146450712536415611653563406069991322399064737409395901084673313239101414671424972330288696699300913836088090171929749781582664965276773531499334295033118760359274030825472 binary64)) (not (<=.f64 z #s(literal 315684353663475/23384026197294446691258957323460528314494920687616 binary64)))) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 x #s(literal -7746191359077253/18014398509481984 binary64)) #s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 5415370496329717/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x))))
(if (or (<=.f64 x #s(literal -7746191359077253/18014398509481984 binary64)) (not (<=.f64 x #s(literal 5415370496329717/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)))) #s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x)) #s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))))
(if (<=.f64 y #s(literal -8106479329266893/18014398509481984 binary64)) #s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 920000 binary64)) #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 (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x))))
(if (or (<=.f64 y #s(literal -8106479329266893/18014398509481984 binary64)) (not (<=.f64 y #s(literal 920000 binary64)))) #s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x)) #s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg 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 (neg.f64 z) y x))
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (fma.f64 (neg.f64 z) y x))
(if (<=.f64 x #s(literal -7423025276069149/47890485652059026823698344598447161988085597568237568 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 5438853046443695/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288 binary64)) #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))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))))
(if (or (<=.f64 x #s(literal -7423025276069149/47890485652059026823698344598447161988085597568237568 binary64)) (not (<=.f64 x #s(literal 5438853046443695/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288 binary64)))) #s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) #s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))

soundness1.0s (14.2%)

Memory
5.4MiB live, 795.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0225696
1795670
22895636
36572634
08064594
0276933
1971909
23493870
37961870
08014818
097265
1344258
21199252
34495246
08267227
0819
01319
13819
223919
3244519
0836119
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 445 to 196 computations (56% saved)

preprocess64.0ms (0.9%)

Memory
16.9MiB live, 162.5MiB allocated
Compiler

Compiled 606 to 168 computations (72.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...