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

Time bar (total: 10.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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)

sample4.0s (37.1%)

Memory
-266.7MiB live, 2 001.7MiB allocated
Samples
3.7s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.4s
ival-mult: 2.9s (84% of total)
ival-cos: 263.0ms (7.7% of total)
ival-sin: 190.0ms (5.6% of total)
ival-sub: 84.0ms (2.5% of total)
ival-true: 7.0ms (0.2% of total)
ival-assert: 4.0ms (0.1% of total)
Bogosity

explain232.0ms (2.2%)

Memory
-15.5MiB live, 264.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
00-0-(sin.f64 y)
00-0-y
00-0-(*.f64 x (cos.f64 y))
00-0-z
00-0-(cos.f64 y)
00-0-x
00-0-(*.f64 z (sin.f64 y))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
96.0ms512×0valid
Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 36.0ms (57.9% of total)
ival-sin: 12.0ms (19.3% of total)
ival-cos: 11.0ms (17.7% of total)
ival-sub: 2.0ms (3.2% of total)
ival-true: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)

preprocess125.0ms (1.2%)

Memory
35.4MiB live, 127.1MiB 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
1.0MiB live, 1.0MiB 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)

simplify78.0ms (0.7%)

Memory
-12.2MiB live, 75.8MiB 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)

localize76.0ms (0.7%)

Memory
-15.7MiB live, 66.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 y)
accuracy0.0078125
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy0.10546875
(*.f64 x (cos.f64 y))
accuracy0.12109375
(*.f64 z (sin.f64 y))
Samples
70.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-sub: 31.0ms (50.7% of total)
ival-mult: 18.0ms (29.4% of total)
ival-cos: 6.0ms (9.8% of total)
ival-sin: 6.0ms (9.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series33.0ms (0.3%)

Memory
-24.7MiB live, 21.1MiB 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
24.0ms
y
@inf
((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
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
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)))

simplify266.0ms (2.5%)

Memory
19.5MiB live, 291.3MiB 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)

rewrite223.0ms (2.1%)

Memory
-11.2MiB live, 325.5MiB 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))))

eval79.0ms (0.7%)

Memory
4.2MiB live, 161.4MiB allocated
Compiler

Compiled 6 250 to 698 computations (88.8% saved)

prune31.0ms (0.3%)

Memory
-2.7MiB live, 43.8MiB allocated
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New19914213
Fresh000
Picked011
Done000
Total19915214
Accuracy
99.9%
Counts
214 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.6%
(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))))
48.6%
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y)))
28.7%
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
99.7%
(-.f64 (*.f64 x (/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))))))) (*.f64 z (sin.f64 y)))
53.4%
(-.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)))
66.3%
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
75.5%
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
49.5%
(*.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)))))
50.0%
#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))
50.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
52.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
88.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
87.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z))
42.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
Compiler

Compiled 675 to 400 computations (40.7% saved)

simplify162.0ms (1.5%)

Memory
27.5MiB live, 209.9MiB 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-diff3
(*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y)))
cost-diff3
(*.f64 #s(literal 0 binary64) (sin.f64 y))
cost-diff6
(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))))
cost-diff7
(/.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))))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042373
072267
1161231
2335203
3981203
43871203
08222203
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x (/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))))))) (*.f64 z (sin.f64 y)))
(*.f64 x (/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y)))))))
x
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))))))
(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))))
(pow.f64 (sin.f64 y) #s(literal 3 binary64))
(sin.f64 y)
y
#s(literal 3 binary64)
#s(literal 0 binary64)
(*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (cos.f64 y) #s(literal 3 binary64))
(cos.f64 y)
(+.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)))))
(pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64))
(*.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))))
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 y))
(*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y)))
(*.f64 z (sin.f64 y))
z
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
(fma.f64 (neg.f64 z) y x)
(neg.f64 z)
z
y
x
#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
(-.f64 (*.f64 x (/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))))))) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 x (/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y)))))))
(*.f64 (cos.f64 y) x)
x
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))))))
(cos.f64 y)
(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))))
(pow.f64 (cos.f64 y) #s(literal 3 binary64))
(pow.f64 (sin.f64 y) #s(literal 3 binary64))
(sin.f64 y)
y
#s(literal 3 binary64)
#s(literal 0 binary64)
(*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(pow.f64 (cos.f64 y) #s(literal 3 binary64))
#s(literal 1 binary64)
(pow.f64 (cos.f64 y) #s(literal 3 binary64))
(cos.f64 y)
(+.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)))))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64))
#s(literal 0 binary64)
(*.f64 #s(literal 0 binary64) (sin.f64 y))
#s(literal 0 binary64)
#s(literal 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))))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 y))
(cos.f64 y)
(*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y)))
#s(literal 0 binary64)
(*.f64 z (sin.f64 y))
z
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
(fma.f64 (neg.f64 z) y x)
(neg.f64 z)
z
y
x
#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))
#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 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(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)

localize163.0ms (1.5%)

Memory
9.0MiB live, 248.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.03125
(sqrt.f64 (*.f64 (cos.f64 y) x))
accuracy0.05078125
(*.f64 (neg.f64 z) (sin.f64 y))
accuracy0.05859375
(*.f64 (cos.f64 y) x)
accuracy0.109375
(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
(cos.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))
accuracy0.05078125
(*.f64 (/.f64 x z) (cos.f64 y))
accuracy5.211680651877995
(*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)
accuracy0.0
(sin.f64 y)
accuracy0.0
(neg.f64 z)
accuracy0.05078125
(*.f64 (neg.f64 z) (sin.f64 y))
accuracy16.965565242065775
#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)
accuracy15.476915881181302
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
accuracy0.09375
(/.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))))))
accuracy0.12337875976844202
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))
accuracy0.1575775390737681
(pow.f64 (cos.f64 y) #s(literal 3 binary64))
accuracy0.1582413086106521
(pow.f64 (sin.f64 y) #s(literal 3 binary64))
Samples
74.0ms125×0valid
47.0ms131×0invalid
Compiler

Compiled 357 to 41 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-mult: 44.0ms (47.6% of total)
ival-add: 12.0ms (13% of total)
ival-sin: 7.0ms (7.6% of total)
ival-pow: 7.0ms (7.6% of total)
ival-cos: 6.0ms (6.5% of total)
ival-pow2: 5.0ms (5.4% of total)
ival-div: 4.0ms (4.3% of total)
ival-sub: 4.0ms (4.3% of total)
ival-sqrt: 2.0ms (2.2% of total)
exact: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series72.0ms (0.7%)

Memory
-5.8MiB live, 48.3MiB allocated
Counts
21 → 75
Calls
Call 1
Inputs
(/.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 (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 #s(literal 0 binary64) (sin.f64 y))
(*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
(fma.f64 (neg.f64 z) y x)
(neg.f64 z)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 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)
(cos.f64 y)
(pow.f64 (sin.f64 y) #s(literal 3 binary64))
(pow.f64 (cos.f64 y) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))
Outputs
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* -1 (* y z))
(+ x (* -1 (* y z)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -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)))
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)))
(+ 1 (* -3/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 7/8 (pow y 2)) 3/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/8 (* -61/240 (pow y 2)))) 3/2)))
0
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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))))))))
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 (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y 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))
(+ (* -1/2 (/ (* 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))))))
(pow y 3)
(* (pow y 3) (+ 1 (* -1/2 (pow y 2))))
(* (pow y 3) (+ 1 (* (pow y 2) (- (* 13/120 (pow y 2)) 1/2))))
(* (pow y 3) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 13/120 (* -41/3024 (pow y 2)))) 1/2))))
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(cos y)
(pow (cos y) 3)
(* y (+ (* -1 z) (/ x y)))
(sin y)
(* z (- (/ (* x (cos y)) z) (sin y)))
(pow (sin y) 3)
(pow (cos y) 2)
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
Calls

9 calls:

TimeVariablePointExpression
46.0ms
x
@inf
((/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (* 0 (sin y)) (* (* 0 (sin y)) (* 1 (cos y))) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (neg z) (- (* x (cos y)) (* z (sin y))) (* (neg 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) (cos y) (pow (sin y) 3) (pow (cos y) 3) (pow (* 1 (cos y)) 2))
6.0ms
y
@inf
((/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (* 0 (sin y)) (* (* 0 (sin y)) (* 1 (cos y))) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (neg z) (- (* x (cos y)) (* z (sin y))) (* (neg 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) (cos y) (pow (sin y) 3) (pow (cos y) 3) (pow (* 1 (cos y)) 2))
3.0ms
x
@-inf
((/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (* 0 (sin y)) (* (* 0 (sin y)) (* 1 (cos y))) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (neg z) (- (* x (cos y)) (* z (sin y))) (* (neg 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) (cos y) (pow (sin y) 3) (pow (cos y) 3) (pow (* 1 (cos y)) 2))
3.0ms
y
@-inf
((/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (* 0 (sin y)) (* (* 0 (sin y)) (* 1 (cos y))) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (neg z) (- (* x (cos y)) (* z (sin y))) (* (neg 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) (cos y) (pow (sin y) 3) (pow (cos y) 3) (pow (* 1 (cos y)) 2))
3.0ms
y
@0
((/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (* 0 (sin y)) (* (* 0 (sin y)) (* 1 (cos y))) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (neg z) (- (* x (cos y)) (* z (sin y))) (* (neg 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) (cos y) (pow (sin y) 3) (pow (cos y) 3) (pow (* 1 (cos y)) 2))

simplify194.0ms (1.8%)

Memory
5.6MiB live, 242.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0276836
1943803
23399779
37796779
08014728
Stop Event
iter limit
node limit
Counts
75 → 73
Calls
Call 1
Inputs
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* -1 (* y z))
(+ x (* -1 (* y z)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -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)))
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)))
(+ 1 (* -3/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 7/8 (pow y 2)) 3/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/8 (* -61/240 (pow y 2)))) 3/2)))
0
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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))))))))
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 (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y 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))
(+ (* -1/2 (/ (* 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))))))
(pow y 3)
(* (pow y 3) (+ 1 (* -1/2 (pow y 2))))
(* (pow y 3) (+ 1 (* (pow y 2) (- (* 13/120 (pow y 2)) 1/2))))
(* (pow y 3) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 13/120 (* -41/3024 (pow y 2)))) 1/2))))
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(cos y)
(pow (cos y) 3)
(* y (+ (* -1 z) (/ x y)))
(sin y)
(* z (- (/ (* x (cos y)) z) (sin y)))
(pow (sin y) 3)
(pow (cos y) 2)
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
Outputs
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -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))
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))
(+ 1 (* -3/2 (pow y 2)))
(fma.f64 #s(literal -3/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 7/8 (pow y 2)) 3/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 7/8 binary64) (*.f64 y y)) #s(literal 3/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/8 (* -61/240 (pow y 2)))) 3/2)))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -61/240 binary64) (-.f64 (*.f64 #s(literal 7/8 binary64) (*.f64 y y)) #s(literal 3/2 binary64))) (*.f64 y y) #s(literal 1 binary64))
0
#s(literal 0 binary64)
(+ 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)
(* 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)
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 (* 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)
(/ 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))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) z) (/.f64 (*.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 x y) y) #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))
(pow y 3)
(pow.f64 y #s(literal 3 binary64))
(* (pow y 3) (+ 1 (* -1/2 (pow y 2))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* (pow y 3) (+ 1 (* (pow y 2) (- (* 13/120 (pow y 2)) 1/2))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 13/120 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 13/120 (* -41/3024 (pow y 2)))) 1/2))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -41/3024 binary64) (-.f64 (*.f64 #s(literal 13/120 binary64) (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(+ 1 (* -1 (pow y 2)))
(fma.f64 (neg.f64 y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -2/45 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 y y) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(pow (cos y) 3)
(pow.f64 (cos.f64 y) #s(literal 3 binary64))
(* 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)
(pow (sin y) 3)
(pow.f64 (sin.f64 y) #s(literal 3 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(* -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 y) (/ x z)))
(*.f64 (-.f64 (/.f64 x z) y) z)
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(* -1 (* z (+ y (* -1 (/ x z)))))
(*.f64 (-.f64 (/.f64 x z) y) z)
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)

rewrite311.0ms (2.9%)

Memory
-7.4MiB live, 462.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039193
066131
1298131
21850131
08399131
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 882
Calls
Call 1
Inputs
(/.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 (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 #s(literal 0 binary64) (sin.f64 y))
(*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
(fma.f64 (neg.f64 z) y x)
(neg.f64 z)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 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)
(cos.f64 y)
(pow.f64 (sin.f64 y) #s(literal 3 binary64))
(pow.f64 (cos.f64 y) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 9/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 9/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (cos.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64))) (pow.f64 (cos.f64 y) #s(literal -2 binary64))) (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64))) (neg.f64 (cos.f64 y))) (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64))) (neg.f64 (cos.f64 y))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64))) (cos.f64 y)) (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64))) (-.f64 (cos.f64 y) #s(literal 0 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64))) (cos.f64 y)) (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64))) (cos.f64 y)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 y) #s(literal -2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) (neg.f64 (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) (neg.f64 (cos.f64 y))))
(*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) (cos.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) (-.f64 (cos.f64 y) #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) (cos.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) (cos.f64 y)))
(*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)))
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(fma.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64)) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal 0 binary64))
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(fma.f64 (neg.f64 (cos.f64 y)) (neg.f64 (cos.f64 y)) (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))
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(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
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(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 0 binary64))
(fma.f64 (cos.f64 y) (/.f64 (cos.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)))
(fma.f64 (cos.f64 y) (/.f64 (cos.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))
(fma.f64 (cos.f64 y) (/.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (cos.f64 y) (fabs.f64 (-.f64 (cos.f64 y) #s(literal 0 binary64))) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)))
(fma.f64 (cos.f64 y) (fabs.f64 (-.f64 (cos.f64 y) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))
(fma.f64 (cos.f64 y) (fabs.f64 (-.f64 (cos.f64 y) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (cos.f64 y) (pow.f64 (-.f64 (cos.f64 y) #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)))
(fma.f64 (cos.f64 y) (pow.f64 (-.f64 (cos.f64 y) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))
(fma.f64 (cos.f64 y) (pow.f64 (-.f64 (cos.f64 y) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)))
(fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))
(fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (cos.f64 y) (cos.f64 y) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)))
(fma.f64 (cos.f64 y) (cos.f64 y) (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))
(fma.f64 (cos.f64 y) (cos.f64 y) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64))
(sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)))
(-.f64 (/.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))))
(-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)))
(-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))
(-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (cos.f64 y)) (cos.f64 y)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 (neg.f64 y))) (sin.f64 (neg.f64 (neg.f64 y)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) #s(literal 1/2 binary64)))
(fabs.f64 (-.f64 (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(fabs.f64 (-.f64 (*.f64 (neg.f64 (cos.f64 y)) (cos.f64 y)) #s(literal 0 binary64)))
(fabs.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 0 binary64)))
(fabs.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(exp.f64 (-.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(exp.f64 (-.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 3 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(exp.f64 (-.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 3 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+.f64 (/.f64 (cos.f64 (+.f64 (neg.f64 y) y)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 (neg.f64 y) y)) #s(literal 2 binary64)))
(+.f64 (/.f64 (cos.f64 (+.f64 y (neg.f64 y))) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 y (neg.f64 y))) #s(literal 2 binary64)))
(+.f64 (/.f64 (cos.f64 (+.f64 y y)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 y y)) #s(literal 2 binary64)))
(+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))
(+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 y))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)))
(+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))
(+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))

eval329.0ms (3.1%)

Memory
54.0MiB live, 744.7MiB allocated
Compiler

Compiled 62 200 to 6 952 computations (88.8% saved)

prune137.0ms (1.3%)

Memory
-23.8MiB live, 213.9MiB allocated
Pruning

27 alts after pruning (23 fresh and 4 done)

PrunedKeptTotal
New1 500211 521
Fresh729
Picked235
Done011
Total1 509271 536
Accuracy
100.0%
Counts
1 536 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.1%
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
99.7%
(-.f64 (*.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (cos.f64 y) #s(literal 8 binary64)))) (*.f64 z (sin.f64 y)))
99.6%
(-.f64 (*.f64 x (/.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 12 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))))))) (*.f64 z (sin.f64 y)))
99.7%
(-.f64 (*.f64 x (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (*.f64 z (sin.f64 y)))
99.7%
(-.f64 (*.f64 x (*.f64 (pow.f64 (cos.f64 y) #s(literal -3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (*.f64 z (sin.f64 y)))
73.8%
(-.f64 (*.f64 x (exp.f64 (log.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
53.4%
(-.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)))
75.5%
(-.f64 (*.f64 x #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
50.2%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x))
24.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y)))
52.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
49.3%
#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)))))
88.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
86.9%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
87.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z))
27.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x z) (cos.f64 y)) #s(literal 3 binary64)) (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)))) (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3/2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3/2 binary64))) (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))))) z))
11.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (+.f64 (cosh.f64 (log.f64 (sin.f64 y))) (sinh.f64 (log.f64 (sin.f64 y))))))
42.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
45.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (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))) z))
45.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z))) z))
30.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z))
47.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (-.f64 (/.f64 x z) y)) z))
49.4%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x)))
20.4%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
19.8%
#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)))
59.1%
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x))
Compiler

Compiled 1 336 to 842 computations (37% saved)

simplify107.0ms (1%)

Memory
-19.0MiB live, 202.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 (cos.f64 y))
cost-diff0
(*.f64 x (exp.f64 (log.f64 (cos.f64 y))))
cost-diff0
(-.f64 (*.f64 x (exp.f64 (log.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
cost-diff2
(exp.f64 (log.f64 (cos.f64 y)))
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
#s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64)))
cost-diff0
(-.f64 (*.f64 x #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x)
cost-diff0
#s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x)))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) z)
cost-diff0
#s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
cost-diff0
(pow.f64 (cos.f64 y) #s(literal 9 binary64))
cost-diff0
(/.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (cos.f64 y) #s(literal 8 binary64)))
cost-diff0
(*.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (cos.f64 y) #s(literal 8 binary64))))
cost-diff0
(-.f64 (*.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (cos.f64 y) #s(literal 8 binary64)))) (*.f64 z (sin.f64 y)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055338
078275
1159244
2330223
31477223
08004223
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (cos.f64 y) #s(literal 8 binary64)))) (*.f64 z (sin.f64 y)))
(*.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (cos.f64 y) #s(literal 8 binary64))))
x
(/.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (cos.f64 y) #s(literal 8 binary64)))
(pow.f64 (cos.f64 y) #s(literal 9 binary64))
(cos.f64 y)
y
#s(literal 9 binary64)
(pow.f64 (cos.f64 y) #s(literal 8 binary64))
#s(literal 8 binary64)
(*.f64 z (sin.f64 y))
z
(sin.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) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x)))
#s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x)
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))
#s(literal 1 binary64)
(/.f64 (*.f64 z y) x)
(*.f64 z y)
z
y
x
(-.f64 (*.f64 x #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(*.f64 x #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64)))
x
#s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
(-.f64 (*.f64 x (exp.f64 (log.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(*.f64 x (exp.f64 (log.f64 (cos.f64 y))))
x
(exp.f64 (log.f64 (cos.f64 y)))
(log.f64 (cos.f64 y))
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
Outputs
(-.f64 (*.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (cos.f64 y) #s(literal 8 binary64)))) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 8 binary64))) (pow.f64 (cos.f64 y) #s(literal 9 binary64))))
(*.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (cos.f64 y) #s(literal 8 binary64))))
(*.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 8 binary64))) (pow.f64 (cos.f64 y) #s(literal 9 binary64)))
x
(/.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (cos.f64 y) #s(literal 8 binary64)))
(pow.f64 (cos.f64 y) #s(literal 9 binary64))
(cos.f64 y)
y
#s(literal 9 binary64)
(pow.f64 (cos.f64 y) #s(literal 8 binary64))
#s(literal 8 binary64)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
z
(sin.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) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x)))
#s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x)
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))
#s(literal 1 binary64)
(/.f64 (*.f64 z y) x)
(*.f64 z y)
z
y
x
(-.f64 (*.f64 x #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64)) x))
(*.f64 x #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64)) x)
x
#s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
z
(sin.f64 y)
y
(-.f64 (*.f64 x (exp.f64 (log.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 x (exp.f64 (log.f64 (cos.f64 y))))
(*.f64 (cos.f64 y) x)
x
(exp.f64 (log.f64 (cos.f64 y)))
(cos.f64 y)
(log.f64 (cos.f64 y))
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
z
(sin.f64 y)

localize310.0ms (2.9%)

Memory
-2.3MiB live, 426.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.03515625
(*.f64 x (exp.f64 (log.f64 (cos.f64 y))))
accuracy0.03515625
(exp.f64 (log.f64 (cos.f64 y)))
accuracy0.05078125
(*.f64 z (sin.f64 y))
accuracy16.961141596747183
(log.f64 (cos.f64 y))
accuracy0.00390625
(-.f64 (*.f64 x #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
accuracy0.03515625
(*.f64 x #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64)))
accuracy0.05078125
(*.f64 z (sin.f64 y))
accuracy12.77821594974346
#s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64))
accuracy0.0
#s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))
accuracy3.585582100425813
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x)
accuracy4.436752501665228
(/.f64 (*.f64 z y) x)
accuracy14.570867150569752
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x)))
accuracy0.0
(*.f64 (neg.f64 y) z)
accuracy0.0
(neg.f64 y)
accuracy14.570867150569752
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
accuracy25.05061349406372
#s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))
accuracy0.05078125
(*.f64 z (sin.f64 y))
accuracy0.0859375
(/.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (cos.f64 y) #s(literal 8 binary64)))
accuracy0.3646291566461463
(pow.f64 (cos.f64 y) #s(literal 8 binary64))
accuracy0.38407165634731794
(pow.f64 (cos.f64 y) #s(literal 9 binary64))
Samples
147.0ms77×2valid
46.0ms67×0invalid
39.0ms66×0valid
35.0ms46×1valid
Compiler

Compiled 290 to 48 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 192.0ms
ival-pow: 30.0ms (15.6% of total)
ival-mult: 30.0ms (15.6% of total)
ival-div: 25.0ms (13% of total)
ival-cos: 21.0ms (11% of total)
adjust: 20.0ms (10.4% of total)
ival-log: 20.0ms (10.4% of total)
ival-sub: 19.0ms (9.9% of total)
ival-sin: 7.0ms (3.7% of total)
ival-pow2: 7.0ms (3.7% of total)
ival-add: 6.0ms (3.1% of total)
ival-exp: 4.0ms (2.1% of total)
ival-neg: 2.0ms (1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series91.0ms (0.9%)

Memory
15.8MiB live, 102.4MiB allocated
Counts
22 → 54
Calls
Call 1
Inputs
(-.f64 (*.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (cos.f64 y) #s(literal 8 binary64)))) (*.f64 z (sin.f64 y)))
(*.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (cos.f64 y) #s(literal 8 binary64))))
(/.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (cos.f64 y) #s(literal 8 binary64)))
(pow.f64 (cos.f64 y) #s(literal 9 binary64))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
#s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))
(*.f64 (neg.f64 y) z)
(neg.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x)))
#s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x)
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))
(-.f64 (*.f64 x #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(*.f64 x #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64)))
#s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64))
(*.f64 z (sin.f64 y))
(exp.f64 (log.f64 (cos.f64 y)))
(-.f64 (*.f64 x (exp.f64 (log.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(*.f64 x (exp.f64 (log.f64 (cos.f64 y))))
(log.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) #s(literal 8 binary64))
(/.f64 (*.f64 z y) x)
Outputs
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* -1 (* y z))
(+ x (* -1 (* y z)))
(* -1 (/ (* y z) x))
(/ (- x (* y z)) x)
(/ (* y z) x)
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
1
(+ 1 (* -1 (/ (* y z) x)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (- (/ (* y z) x) 1)))
(+ 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 (* -1/2 (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 (* -9/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 75/8 (pow y 2)) 9/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 75/8 (* -961/80 (pow y 2)))) 9/2)))
(* -1 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)))))))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* -1/12 (pow y 2)) 1/2))
(* (pow y 2) (- (* (pow y 2) (- (* -1/45 (pow y 2)) 1/12)) 1/2))
(* (pow y 2) (- (* (pow y 2) (- (* (pow y 2) (- (* -17/2520 (pow y 2)) 1/45)) 1/12)) 1/2))
(+ 1 (* -4 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 22/3 (pow y 2)) 4)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 22/3 (* -368/45 (pow y 2)))) 4)))
(cos y)
(pow (cos y) 9)
(* y (+ (* -1 z) (/ x y)))
(* y (- (/ 1 y) (/ z x)))
(* z (sin y))
(log (cos y))
(pow (cos y) 8)
(* -1 (* y (+ z (* -1 (/ x y)))))
(* y (+ (* -1 (/ z x)) (/ 1 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (+ (* -1 y) (/ x z)))
(* z (- (/ 1 z) (/ y x)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* z (+ (* -1 (/ y x)) (/ 1 z)))
Calls

9 calls:

TimeVariablePointExpression
53.0ms
y
@inf
((- (* x (/ (pow (cos y) 9) (pow (cos y) 8))) (* z (sin y))) (* x (/ (pow (cos y) 9) (pow (cos y) 8))) (/ (pow (cos y) 9) (pow (cos y) 8)) (pow (cos y) 9) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (- 1 (/ (* z y) x)) x) (- 1 (/ (* z y) x)) (- (* x (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y))))))) (* z (sin y))) (* x (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y))))))) (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) (* z (sin y)) (exp (log (cos y))) (- (* x (exp (log (cos y)))) (* z (sin y))) (* x (exp (log (cos y)))) (log (cos y)) (pow (cos y) 8) (/ (* z y) x))
17.0ms
y
@-inf
((- (* x (/ (pow (cos y) 9) (pow (cos y) 8))) (* z (sin y))) (* x (/ (pow (cos y) 9) (pow (cos y) 8))) (/ (pow (cos y) 9) (pow (cos y) 8)) (pow (cos y) 9) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (- 1 (/ (* z y) x)) x) (- 1 (/ (* z y) x)) (- (* x (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y))))))) (* z (sin y))) (* x (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y))))))) (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) (* z (sin y)) (exp (log (cos y))) (- (* x (exp (log (cos y)))) (* z (sin y))) (* x (exp (log (cos y)))) (log (cos y)) (pow (cos y) 8) (/ (* z y) x))
7.0ms
y
@0
((- (* x (/ (pow (cos y) 9) (pow (cos y) 8))) (* z (sin y))) (* x (/ (pow (cos y) 9) (pow (cos y) 8))) (/ (pow (cos y) 9) (pow (cos y) 8)) (pow (cos y) 9) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (- 1 (/ (* z y) x)) x) (- 1 (/ (* z y) x)) (- (* x (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y))))))) (* z (sin y))) (* x (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y))))))) (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) (* z (sin y)) (exp (log (cos y))) (- (* x (exp (log (cos y)))) (* z (sin y))) (* x (exp (log (cos y)))) (log (cos y)) (pow (cos y) 8) (/ (* z y) x))
2.0ms
z
@-inf
((- (* x (/ (pow (cos y) 9) (pow (cos y) 8))) (* z (sin y))) (* x (/ (pow (cos y) 9) (pow (cos y) 8))) (/ (pow (cos y) 9) (pow (cos y) 8)) (pow (cos y) 9) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (- 1 (/ (* z y) x)) x) (- 1 (/ (* z y) x)) (- (* x (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y))))))) (* z (sin y))) (* x (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y))))))) (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) (* z (sin y)) (exp (log (cos y))) (- (* x (exp (log (cos y)))) (* z (sin y))) (* x (exp (log (cos y)))) (log (cos y)) (pow (cos y) 8) (/ (* z y) x))
2.0ms
x
@-inf
((- (* x (/ (pow (cos y) 9) (pow (cos y) 8))) (* z (sin y))) (* x (/ (pow (cos y) 9) (pow (cos y) 8))) (/ (pow (cos y) 9) (pow (cos y) 8)) (pow (cos y) 9) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (- 1 (/ (* z y) x)) x) (- 1 (/ (* z y) x)) (- (* x (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y))))))) (* z (sin y))) (* x (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y))))))) (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) (* z (sin y)) (exp (log (cos y))) (- (* x (exp (log (cos y)))) (* z (sin y))) (* x (exp (log (cos y)))) (log (cos y)) (pow (cos y) 8) (/ (* z y) x))

simplify205.0ms (1.9%)

Memory
-3.7MiB live, 191.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0193492
1595488
21827484
34765482
08026455
Stop Event
iter limit
node limit
Counts
54 → 53
Calls
Call 1
Inputs
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* -1 (* y z))
(+ x (* -1 (* y z)))
(* -1 (/ (* y z) x))
(/ (- x (* y z)) x)
(/ (* y z) x)
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
1
(+ 1 (* -1 (/ (* y z) x)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (- (/ (* y z) x) 1)))
(+ 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 (* -1/2 (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 (* -9/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 75/8 (pow y 2)) 9/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 75/8 (* -961/80 (pow y 2)))) 9/2)))
(* -1 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)))))))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* -1/12 (pow y 2)) 1/2))
(* (pow y 2) (- (* (pow y 2) (- (* -1/45 (pow y 2)) 1/12)) 1/2))
(* (pow y 2) (- (* (pow y 2) (- (* (pow y 2) (- (* -17/2520 (pow y 2)) 1/45)) 1/12)) 1/2))
(+ 1 (* -4 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 22/3 (pow y 2)) 4)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 22/3 (* -368/45 (pow y 2)))) 4)))
(cos y)
(pow (cos y) 9)
(* y (+ (* -1 z) (/ x y)))
(* y (- (/ 1 y) (/ z x)))
(* z (sin y))
(log (cos y))
(pow (cos y) 8)
(* -1 (* y (+ z (* -1 (/ x y)))))
(* y (+ (* -1 (/ z x)) (/ 1 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (+ (* -1 y) (/ x z)))
(* z (- (/ 1 z) (/ y x)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* z (+ (* -1 (/ y x)) (/ 1 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))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(* -1 (/ (* y z) x))
(*.f64 (neg.f64 y) (/.f64 z x))
(/ (- x (* y z)) x)
(/.f64 (-.f64 x (*.f64 z y)) x)
(/ (* y z) x)
(/.f64 (*.f64 z y) x)
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(-.f64 x (*.f64 z y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* y z) x)))
(/.f64 (-.f64 x (*.f64 z 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 (- (/ (* y z) x) 1)))
(-.f64 x (*.f64 z y))
(+ 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 (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 (* -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 (* -9/2 (pow y 2)))
(fma.f64 #s(literal -9/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 75/8 (pow y 2)) 9/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 75/8 binary64) (*.f64 y y)) #s(literal 9/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 75/8 (* -961/80 (pow y 2)))) 9/2)))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -961/80 binary64) (-.f64 (*.f64 #s(literal 75/8 binary64) (*.f64 y y)) #s(literal 9/2 binary64))) (*.f64 y y) #s(literal 1 binary64))
(* -1 y)
(neg.f64 y)
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 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 (*.f64 y y) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 z y))
(* -1/2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/2 binary64))
(* (pow y 2) (- (* -1/12 (pow y 2)) 1/2))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) y) y)
(* (pow y 2) (- (* (pow y 2) (- (* -1/45 (pow y 2)) 1/12)) 1/2))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 y y)) #s(literal 1/12 binary64)) y) y) #s(literal 1/2 binary64)) (*.f64 y y))
(* (pow y 2) (- (* (pow y 2) (- (* (pow y 2) (- (* -17/2520 (pow y 2)) 1/45)) 1/12)) 1/2))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -17/2520 binary64) (*.f64 y y)) #s(literal 1/45 binary64)) y) y) #s(literal 1/12 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y))
(+ 1 (* -4 (pow y 2)))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 22/3 (pow y 2)) 4)))
(fma.f64 (-.f64 (*.f64 #s(literal 22/3 binary64) (*.f64 y y)) #s(literal 4 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 22/3 (* -368/45 (pow y 2)))) 4)))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -368/45 binary64) (-.f64 (*.f64 #s(literal 22/3 binary64) (*.f64 y y)) #s(literal 4 binary64))) (*.f64 y y) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(pow (cos y) 9)
(pow.f64 (cos.f64 y) #s(literal 9 binary64))
(* y (+ (* -1 z) (/ x y)))
(-.f64 x (*.f64 z y))
(* y (- (/ 1 y) (/ z x)))
(/.f64 (-.f64 x (*.f64 z y)) x)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(log (cos y))
(log.f64 (cos.f64 y))
(pow (cos y) 8)
(pow.f64 (cos.f64 y) #s(literal 8 binary64))
(* -1 (* y (+ z (* -1 (/ x y)))))
(-.f64 x (*.f64 z y))
(* y (+ (* -1 (/ z x)) (/ 1 y)))
(/.f64 (-.f64 x (*.f64 z y)) x)
(+ (* -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 (cos.f64 y) z) x) (sin.f64 y)) z)
(* z (+ (* -1 y) (/ x z)))
(-.f64 x (*.f64 z y))
(* z (- (/ 1 z) (/ y x)))
(/.f64 (-.f64 x (*.f64 z y)) x)
(* -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 (+ y (* -1 (/ x z)))))
(-.f64 x (*.f64 z y))
(* z (+ (* -1 (/ y x)) (/ 1 z)))
(/.f64 (-.f64 x (*.f64 z y)) x)

rewrite295.0ms (2.8%)

Memory
11.9MiB live, 388.9MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055299
078227
1334184
22132163
08430163
Stop Event
iter limit
node limit
iter limit
Counts
22 → 636
Calls
Call 1
Inputs
(-.f64 (*.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (cos.f64 y) #s(literal 8 binary64)))) (*.f64 z (sin.f64 y)))
(*.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (cos.f64 y) #s(literal 8 binary64))))
(/.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (cos.f64 y) #s(literal 8 binary64)))
(pow.f64 (cos.f64 y) #s(literal 9 binary64))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
#s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))
(*.f64 (neg.f64 y) z)
(neg.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x)))
#s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x)
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))
(-.f64 (*.f64 x #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(*.f64 x #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64)))
#s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64))
(*.f64 z (sin.f64 y))
(exp.f64 (log.f64 (cos.f64 y)))
(-.f64 (*.f64 x (exp.f64 (log.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(*.f64 x (exp.f64 (log.f64 (cos.f64 y))))
(log.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) #s(literal 8 binary64))
(/.f64 (*.f64 z y) x)
Outputs
(/.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 3 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 3 binary64))) (fma.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 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (fma.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 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))))
(/.f64 (-.f64 (pow.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)))) #s(literal 3 binary64)) (pow.f64 (/.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)))) #s(literal 3 binary64))) (fma.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 (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)))) (fma.f64 (/.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 (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 (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 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 y)) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 y)) z) (*.f64 (neg.f64 (sin.f64 y)) z)) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 (sin.f64 y)) z)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.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 (neg.f64 z) (sin.f64 y)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (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 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
(/.f64 (-.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 (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))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (*.f64 (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))) (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 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #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 (neg.f64 z) (sin.f64 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (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 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (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))))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (cos.f64 y) (*.f64 (neg.f64 (sin.f64 y)) z))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y)))
(fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (*.f64 (neg.f64 (sin.f64 y)) z))
(fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (*.f64 (neg.f64 z) (sin.f64 y)))
(fma.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 y)) z))
(fma.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64) (*.f64 (neg.f64 z) (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 (sin.f64 y)) z))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 z) (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) (*.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (sin.f64 y)) z))
(fma.f64 (cos.f64 y) (*.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 z) (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 (sin.f64 y)) z))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (neg.f64 (sin.f64 y)) z))
(fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y)))
(-.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))))
(-.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 z)) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.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 (neg.f64 z) (sin.f64 y)))))) (/.f64 (pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #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 (neg.f64 z) (sin.f64 y)))))))
(+.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 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (sin.f64 y) z)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
(+.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 (sin.f64 y)) z))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 z) (sin.f64 y)))
(*.f64 (*.f64 x #s(literal 1 binary64)) (cos.f64 y))
(*.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 5 binary64)))
(*.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) (*.f64 #s(literal 1 binary64) x))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 (log.f64 (cos.f64 y))) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (log.f64 (cos.f64 y))) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 (log.f64 (cos.f64 y))) x) (*.f64 (cosh.f64 (log.f64 (cos.f64 y))) x) (-.f64 (*.f64 (*.f64 (sinh.f64 (log.f64 (cos.f64 y))) x) (*.f64 (sinh.f64 (log.f64 (cos.f64 y))) x)) (*.f64 (*.f64 (cosh.f64 (log.f64 (cos.f64 y))) x) (*.f64 (sinh.f64 (log.f64 (cos.f64 y))) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cosh.f64 (log.f64 (cos.f64 y)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sinh.f64 (log.f64 (cos.f64 y)))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (cosh.f64 (log.f64 (cos.f64 y)))) (*.f64 x (cosh.f64 (log.f64 (cos.f64 y)))) (-.f64 (*.f64 (*.f64 x (sinh.f64 (log.f64 (cos.f64 y)))) (*.f64 x (sinh.f64 (log.f64 (cos.f64 y))))) (*.f64 (*.f64 x (cosh.f64 (log.f64 (cos.f64 y)))) (*.f64 x (sinh.f64 (log.f64 (cos.f64 y))))))))
(/.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) x) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64))) x)) (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64)))))
(/.f64 (neg.f64 (*.f64 x (neg.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64))))) (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) x))) (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) x) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64))) x) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64))))
(/.f64 (*.f64 x (neg.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) x)) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64))))
(/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) x) (pow.f64 (cos.f64 y) #s(literal 8 binary64)))
(fma.f64 (cosh.f64 (log.f64 (cos.f64 y))) x (*.f64 (sinh.f64 (log.f64 (cos.f64 y))) x))
(fma.f64 x (cosh.f64 (log.f64 (cos.f64 y))) (*.f64 x (sinh.f64 (log.f64 (cos.f64 y)))))
(+.f64 (*.f64 (cosh.f64 (log.f64 (cos.f64 y))) x) (*.f64 (sinh.f64 (log.f64 (cos.f64 y))) x))
(+.f64 (*.f64 x (cosh.f64 (log.f64 (cos.f64 y)))) (*.f64 x (sinh.f64 (log.f64 (cos.f64 y)))))
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) (neg.f64 (sqrt.f64 (cos.f64 y))))
(*.f64 (fabs.f64 (sqrt.f64 (cos.f64 y))) (fabs.f64 (sqrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 9/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal -7/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cos.f64 y) #s(literal -3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 9/2 binary64)) (fabs.f64 (pow.f64 (cos.f64 y) #s(literal -7/2 binary64))))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 9/2 binary64)) (pow.f64 (cos.f64 y) #s(literal -7/2 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (cos.f64 y))
(*.f64 (cos.f64 y) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cos.f64 y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 y) (cos.f64 y) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 y))))))
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(/.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) x) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64))) x)) (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64)))))
(/.f64 (neg.f64 (*.f64 x (neg.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64))))) (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) x))) (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) x) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64))) x) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64))))
(/.f64 (*.f64 x (neg.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) x)) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64))))
(/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) x) (pow.f64 (cos.f64 y) #s(literal 8 binary64)))
(fma.f64 (cosh.f64 (log.f64 (cos.f64 y))) x (*.f64 (sinh.f64 (log.f64 (cos.f64 y))) x))
(fma.f64 x (cosh.f64 (log.f64 (cos.f64 y))) (*.f64 x (sinh.f64 (log.f64 (cos.f64 y)))))
(+.f64 (*.f64 (cosh.f64 (log.f64 (cos.f64 y))) x) (*.f64 (sinh.f64 (log.f64 (cos.f64 y))) x))
(+.f64 (*.f64 x (cosh.f64 (log.f64 (cos.f64 y)))) (*.f64 x (sinh.f64 (log.f64 (cos.f64 y)))))
(*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64))) (log.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64))) (fma.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64))) (log.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64))) (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64))) (log.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (cos.f64 y)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (log.f64 (cos.f64 y)) (log.f64 (cos.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (cos.f64 y)) #s(literal 0 binary64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (cos.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (log.f64 (cos.f64 y)) (log.f64 (cos.f64 y))) (*.f64 #s(literal 0 binary64) (log.f64 (cos.f64 y))))))
(fma.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (log.f64 (cos.f64 y)) #s(literal 0 binary64))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (cos.f64 y))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (cos.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (cos.f64 y))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (cos.f64 y))) (sinh.f64 (log.f64 (cos.f64 y))))))))
(-.f64 (log.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)))) (log.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64)))))
(-.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64))) (log.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))))
(-.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64))) (log.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64))))))
(-.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64))) (log.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (cos.f64 y))))
(+.f64 (log.f64 (sqrt.f64 (cos.f64 y))) (log.f64 (sqrt.f64 (cos.f64 y))))
(+.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 9/2 binary64))) (log.f64 (pow.f64 (cos.f64 y) #s(literal -7/2 binary64))))
(+.f64 (log.f64 (cos.f64 y)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (cos.f64 y)))
(log.f64 (cos.f64 y))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 16 binary64)))
(*.f64 (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 8 binary64)) (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 8 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 9/2 binary64)) #s(literal 8 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal -7/2 binary64)) #s(literal 8 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))
(*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 (-.f64 (cos.f64 y) #s(literal 0 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 8 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 8 binary64)) (log.f64 (cos.f64 y)))
(pow.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 4 binary64))
(pow.f64 (cos.f64 y) #s(literal 8 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64)))) (cosh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64))))))))
(fabs.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64)))
(exp.f64 (+.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(exp.f64 (+.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64))))
(exp.f64 (+.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (log.f64 (cos.f64 y)) #s(literal 4 binary64))))
(exp.f64 (fma.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64) (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(exp.f64 (fma.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (log.f64 (cos.f64 y)) #s(literal 4 binary64))))
(exp.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 4 binary64) (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(exp.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 4 binary64) (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 4 binary64) (*.f64 (log.f64 (cos.f64 y)) #s(literal 4 binary64))))
(exp.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (fma.f64 (log.f64 (cos.f64 y)) #s(literal 3 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))
(exp.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64))))
(exp.f64 (+.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 3 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(exp.f64 (fma.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) #s(literal 2 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(exp.f64 (fma.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64)))
(exp.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 8 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 y x))
(*.f64 (/.f64 y x) z)
(*.f64 (/.f64 (*.f64 z y) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))
(*.f64 (neg.f64 y) (/.f64 z (neg.f64 x)))
(*.f64 (neg.f64 z) (/.f64 y (neg.f64 x)))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 z y))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) y))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 z) y))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 z y)) x)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) y)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (neg.f64 z) y)) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 z y) x)
(/.f64 (*.f64 (neg.f64 z) y) (neg.f64 x))
(neg.f64 (/.f64 (*.f64 (neg.f64 z) y) x))
(neg.f64 (/.f64 (*.f64 z y) (neg.f64 x)))

eval123.0ms (1.2%)

Memory
-17.1MiB live, 136.0MiB allocated
Compiler

Compiled 16 618 to 2 059 computations (87.6% saved)

prune46.0ms (0.4%)

Memory
13.1MiB live, 60.1MiB allocated
Pruning

31 alts after pruning (26 fresh and 5 done)

PrunedKeptTotal
New46512477
Fresh41418
Picked415
Done044
Total47331504
Accuracy
100.0%
Counts
504 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (*.f64 (neg.f64 (sin.f64 y)) z))
27.1%
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
75.5%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64)) x))
99.5%
(-.f64 (*.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 z (sin.f64 y)))
66.2%
(-.f64 (*.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (cos.f64 y) #s(literal 8 binary64)))) #s(approx (* z (sin y)) (*.f64 z y)))
99.7%
(-.f64 (*.f64 x (*.f64 (pow.f64 (cos.f64 y) #s(literal -3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (*.f64 z (sin.f64 y)))
58.3%
(-.f64 (*.f64 x (exp.f64 (log.f64 (cos.f64 y)))) #s(approx (* z (sin y)) (*.f64 z y)))
53.4%
(-.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)))
50.7%
(-.f64 (*.f64 x #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
50.2%
#s(approx (- (* x (/ (pow (cos y) 9) (pow (cos y) 8))) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
86.9%
#s(approx (- (* x (/ (pow (cos y) 9) (pow (cos y) 8))) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)) z))
24.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y)))
52.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
49.3%
#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)))))
88.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
87.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z))
27.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x z) (cos.f64 y)) #s(literal 3 binary64)) (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)))) (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3/2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3/2 binary64))) (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))))) z))
11.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (+.f64 (cosh.f64 (log.f64 (sin.f64 y))) (sinh.f64 (log.f64 (sin.f64 y))))))
42.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
45.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (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))) z))
45.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z))) z))
30.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z))
47.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (-.f64 (/.f64 x z) y)) z))
49.3%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) z)) x)))
43.7%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))) x)))
20.4%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
12.1%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) (*.f64 (neg.f64 y) (/.f64 z x))) x)))
35.6%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) x)))
19.8%
#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)))
59.1%
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x))
Compiler

Compiled 1 585 to 1 009 computations (36.3% saved)

simplify149.0ms (1.4%)

Memory
-4.7MiB live, 96.0MiB 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
(-.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
(cos.f64 y)
cost-diff0
(*.f64 (cos.f64 y) x)
cost-diff0
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x))
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x)))
cost-diff0
#s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))) x))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))) x)))
cost-diff4
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))) x)
cost-diff0
#s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) x)
cost-diff0
#s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) x))
cost-diff0
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) x)))
cost-diff0
(cos.f64 y)
cost-diff0
(pow.f64 (cos.f64 y) #s(literal 4 binary64))
cost-diff0
(/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))
cost-diff0
(fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (*.f64 (neg.f64 (sin.f64 y)) z))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
047262
069240
1133236
2258236
3494236
41089224
52698224
65403224
08073224
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (*.f64 (neg.f64 (sin.f64 y)) z))
(/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))
x
(pow.f64 (cos.f64 y) #s(literal 4 binary64))
(cos.f64 y)
y
#s(literal 4 binary64)
(pow.f64 (cos.f64 y) #s(literal 5 binary64))
#s(literal 5 binary64)
(*.f64 (neg.f64 (sin.f64 y)) z)
(neg.f64 (sin.f64 y))
(sin.f64 y)
z
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) x)))
#s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) x)
#s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))) x)))
#s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))) x))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))) x)
(-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x)))
#s(literal 1 binary64)
(*.f64 y (/.f64 z x))
y
(/.f64 z x)
z
x
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(cos.f64 y)
y
x
(-.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
(fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (*.f64 (neg.f64 (sin.f64 y)) z))
(fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) x (*.f64 (neg.f64 z) (sin.f64 y)))
(/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))
x
(pow.f64 (cos.f64 y) #s(literal 4 binary64))
(cos.f64 y)
y
#s(literal 4 binary64)
(pow.f64 (cos.f64 y) #s(literal 5 binary64))
#s(literal 5 binary64)
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 (sin.f64 y))
(sin.f64 y)
z
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) #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 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) x)))
#s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) x)
#s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))) x)))
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) #s(approx (+ (* (neg z) y) x) (fma.f64 (neg.f64 z) y x)))
#s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))) x))
#s(approx (+ (* (neg z) y) x) (fma.f64 (neg.f64 z) y x))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))) x)
(fma.f64 (neg.f64 z) y x)
(-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x)))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 z x) y))
#s(literal 1 binary64)
(*.f64 y (/.f64 z x))
(*.f64 (/.f64 z x) y)
y
(/.f64 z x)
z
x
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(cos.f64 y)
y
x
(-.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 z (sin.f64 y))
(sqrt.f64 (*.f64 (sin.f64 y) z))
(sqrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(sin.f64 y)
z

localize155.0ms (1.5%)

Memory
-1.5MiB live, 131.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(*.f64 (sin.f64 y) z)
accuracy0.015625
(*.f64 x (cos.f64 y))
accuracy0.109375
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))
accuracy0.8377891011277787
(sqrt.f64 (*.f64 (sin.f64 y) z))
accuracy0.0
(cos.f64 y)
accuracy0.015625
(*.f64 (cos.f64 y) x)
accuracy7.462633434623975
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x))
accuracy0.0
#s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))) x))
accuracy1.649362065644475
(*.f64 y (/.f64 z x))
accuracy1.9091136601187497
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))) x)
accuracy7.53544869356189
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))) x)))
accuracy0.0
#s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) x))
accuracy1.9091136601187497
(*.f64 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) x)
accuracy7.53544869356189
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) x)))
accuracy9.281477842080545
#s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64))
accuracy0.01953125
(/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))
accuracy0.02734375
(fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (*.f64 (neg.f64 (sin.f64 y)) z))
accuracy0.08564379884221009
(pow.f64 (cos.f64 y) #s(literal 4 binary64))
accuracy0.1129875488422101
(pow.f64 (cos.f64 y) #s(literal 5 binary64))
Samples
83.0ms196×0invalid
51.0ms60×0valid
Compiler

Compiled 198 to 40 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-mult: 56.0ms (49.4% of total)
ival-sin: 24.0ms (21.2% of total)
ival-cos: 7.0ms (6.2% of total)
ival-pow: 6.0ms (5.3% of total)
ival-div: 5.0ms (4.4% of total)
ival-sub: 5.0ms (4.4% of total)
ival-add: 4.0ms (3.5% of total)
ival-sqrt: 3.0ms (2.6% of total)
ival-neg: 2.0ms (1.8% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series49.0ms (0.5%)

Memory
5.1MiB live, 60.4MiB allocated
Counts
21 → 67
Calls
Call 1
Inputs
(fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (*.f64 (neg.f64 (sin.f64 y)) z))
(/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))
(pow.f64 (cos.f64 y) #s(literal 4 binary64))
(cos.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) x)))
#s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) x)
#s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))) x)
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))) x)))
#s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))) x))
(-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x)))
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(*.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))
(pow.f64 (cos.f64 y) #s(literal 5 binary64))
(*.f64 y (/.f64 z x))
(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 (pow (cos y) 4))
(- (* x (cos y)) (* z (sin y)))
(* -1 (* y z))
(+ x (* -1 (* y z)))
(* -1 (/ (* y z) x))
(/ (- x (* y z)) x)
(* x (cos y))
(/ (* y z) x)
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
1
(+ 1 (* -1 (/ (* y z) x)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* (cos y) (pow (sqrt -1) 2)) (/ (* z (sin y)) x))))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(+ x (* 2 (* x (pow y 2))))
(+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -4 x) (* 5/3 x)))) (* -2 x))))
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -34/45 x) (+ (* 2 (+ (* -4 x) (* 5/3 x))) (* 10/3 x))))) (+ (* -4 x) (* 5/3 x)))) (* -2 x))))
(+ 1 (* -2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 5/3 (pow y 2)) 2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 5/3 (* -34/45 (pow y 2)))) 2)))
(+ 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 (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(+ 1 (* -5/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 65/24 (pow y 2)) 5/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 65/24 (* -241/144 (pow y 2)))) 5/2)))
(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))))))))
(pow (cos y) 4)
(cos y)
(* y (+ (* -1 z) (/ x y)))
(* y (- (/ 1 y) (/ z x)))
(* z (sin y))
(pow (cos y) 5)
(sqrt (* z (sin y)))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* y (+ (* -1 (/ z x)) (/ 1 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (+ (* -1 y) (/ x z)))
(* z (- (/ 1 z) (/ y x)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* z (+ (* -1 (/ y x)) (/ 1 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
27.0ms
y
@0
((+ (* (/ x (pow (cos y) 4)) (pow (cos y) 5)) (* (neg (sin y)) z)) (/ x (pow (cos y) 4)) (pow (cos y) 4) (cos y) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (- 1 (/ (* z y) x)) x) (- 1 (/ (* z y) x)) (* (- 1 (* y (/ z x))) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (- 1 (* y (/ z x))) (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (* (cos y) x) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (- (* x (cos y)) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z)))) (* x (cos y)) (pow (cos y) 5) (* y (/ z x)) (sqrt (* (sin y) z)) (* (sin y) z))
3.0ms
x
@-inf
((+ (* (/ x (pow (cos y) 4)) (pow (cos y) 5)) (* (neg (sin y)) z)) (/ x (pow (cos y) 4)) (pow (cos y) 4) (cos y) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (- 1 (/ (* z y) x)) x) (- 1 (/ (* z y) x)) (* (- 1 (* y (/ z x))) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (- 1 (* y (/ z x))) (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (* (cos y) x) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (- (* x (cos y)) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z)))) (* x (cos y)) (pow (cos y) 5) (* y (/ z x)) (sqrt (* (sin y) z)) (* (sin y) z))
3.0ms
z
@-inf
((+ (* (/ x (pow (cos y) 4)) (pow (cos y) 5)) (* (neg (sin y)) z)) (/ x (pow (cos y) 4)) (pow (cos y) 4) (cos y) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (- 1 (/ (* z y) x)) x) (- 1 (/ (* z y) x)) (* (- 1 (* y (/ z x))) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (- 1 (* y (/ z x))) (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (* (cos y) x) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (- (* x (cos y)) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z)))) (* x (cos y)) (pow (cos y) 5) (* y (/ z x)) (sqrt (* (sin y) z)) (* (sin y) z))
3.0ms
y
@inf
((+ (* (/ x (pow (cos y) 4)) (pow (cos y) 5)) (* (neg (sin y)) z)) (/ x (pow (cos y) 4)) (pow (cos y) 4) (cos y) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (- 1 (/ (* z y) x)) x) (- 1 (/ (* z y) x)) (* (- 1 (* y (/ z x))) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (- 1 (* y (/ z x))) (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (* (cos y) x) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (- (* x (cos y)) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z)))) (* x (cos y)) (pow (cos y) 5) (* y (/ z x)) (sqrt (* (sin y) z)) (* (sin y) z))
3.0ms
y
@-inf
((+ (* (/ x (pow (cos y) 4)) (pow (cos y) 5)) (* (neg (sin y)) z)) (/ x (pow (cos y) 4)) (pow (cos y) 4) (cos y) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (- 1 (/ (* z y) x)) x) (- 1 (/ (* z y) x)) (* (- 1 (* y (/ z x))) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (- 1 (* y (/ z x))) (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (* (cos y) x) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (- (* x (cos y)) (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z)))) (* x (cos y)) (pow (cos y) 5) (* y (/ z x)) (sqrt (* (sin y) z)) (* (sin y) z))

simplify247.0ms (2.3%)

Memory
-6.2MiB live, 308.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0252659
1845653
22947633
36917633
08912591
Stop Event
iter limit
node limit
Counts
67 → 66
Calls
Call 1
Inputs
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(/ x (pow (cos y) 4))
(- (* x (cos y)) (* z (sin y)))
(* -1 (* y z))
(+ x (* -1 (* y z)))
(* -1 (/ (* y z) x))
(/ (- x (* y z)) x)
(* x (cos y))
(/ (* y z) x)
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
1
(+ 1 (* -1 (/ (* y z) x)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* (cos y) (pow (sqrt -1) 2)) (/ (* z (sin y)) x))))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(+ x (* 2 (* x (pow y 2))))
(+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -4 x) (* 5/3 x)))) (* -2 x))))
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -34/45 x) (+ (* 2 (+ (* -4 x) (* 5/3 x))) (* 10/3 x))))) (+ (* -4 x) (* 5/3 x)))) (* -2 x))))
(+ 1 (* -2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 5/3 (pow y 2)) 2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 5/3 (* -34/45 (pow y 2)))) 2)))
(+ 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 (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(+ 1 (* -5/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 65/24 (pow y 2)) 5/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 65/24 (* -241/144 (pow y 2)))) 5/2)))
(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))))))))
(pow (cos y) 4)
(cos y)
(* y (+ (* -1 z) (/ x y)))
(* y (- (/ 1 y) (/ z x)))
(* z (sin y))
(pow (cos y) 5)
(sqrt (* z (sin y)))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* y (+ (* -1 (/ z x)) (/ 1 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (+ (* -1 y) (/ x z)))
(* z (- (/ 1 z) (/ y x)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* z (+ (* -1 (/ y x)) (/ 1 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 (sin.f64 y)) z (*.f64 (cos.f64 y) x))
(/ x (pow (cos y) 4))
(/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (cos.f64 y) x))
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(* -1 (/ (* y z) x))
(*.f64 (neg.f64 y) (/.f64 z x))
(/ (- x (* y z)) x)
(/.f64 (-.f64 x (*.f64 z y)) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(/ (* y z) x)
(/.f64 (*.f64 z y) x)
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (cos.f64 y) x))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(-.f64 x (*.f64 z y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* y z) x)))
(/.f64 (-.f64 x (*.f64 z y)) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.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 (* (cos y) (pow (sqrt -1) 2))))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* (cos y) (pow (sqrt -1) 2)) (/ (* z (sin y)) x))))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (cos.f64 y) x))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 y x) #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 (* 2 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) y) y #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -4 x) (* 5/3 x)))) (* -2 x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 7/3 binary64))) (*.f64 y y) x)
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -34/45 x) (+ (* 2 (+ (* -4 x) (* 5/3 x))) (* 10/3 x))))) (+ (* -4 x) (* 5/3 x)))) (* -2 x))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 x #s(literal -139/45 binary64) x) y) (neg.f64 y) (*.f64 #s(literal 7/3 binary64) x)) (*.f64 y y) (*.f64 #s(literal 2 binary64) x)) (*.f64 y y) x)
(+ 1 (* -2 (pow y 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 5/3 (pow y 2)) 2)))
(fma.f64 (-.f64 (*.f64 #s(literal 5/3 binary64) (*.f64 y y)) #s(literal 2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 5/3 (* -34/45 (pow y 2)))) 2)))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -34/45 binary64) (-.f64 (*.f64 #s(literal 5/3 binary64) (*.f64 y y)) #s(literal 2 binary64))) (*.f64 y y) #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 (- (* -1/2 (* x y)) z)))
(fma.f64 (fma.f64 (*.f64 y x) #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)
(+ 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))
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 z y))
(+ 1 (* -5/2 (pow y 2)))
(fma.f64 #s(literal -5/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 65/24 (pow y 2)) 5/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 65/24 binary64) (*.f64 y y)) #s(literal 5/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 65/24 (* -241/144 (pow y 2)))) 5/2)))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -241/144 binary64) (-.f64 (*.f64 #s(literal 65/24 binary64) (*.f64 y y)) #s(literal 5/2 binary64))) (*.f64 y y) #s(literal 1 binary64))
(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)))
(pow (cos y) 4)
(pow.f64 (cos.f64 y) #s(literal 4 binary64))
(cos y)
(cos.f64 y)
(* y (+ (* -1 z) (/ x y)))
(-.f64 x (*.f64 z y))
(* y (- (/ 1 y) (/ z x)))
(/.f64 (-.f64 x (*.f64 z y)) x)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(pow (cos y) 5)
(pow.f64 (cos.f64 y) #s(literal 5 binary64))
(sqrt (* z (sin y)))
(sqrt.f64 (*.f64 (sin.f64 y) z))
(* -1 (* y (+ z (* -1 (/ x y)))))
(-.f64 x (*.f64 z y))
(* y (+ (* -1 (/ z x)) (/ 1 y)))
(/.f64 (-.f64 x (*.f64 z y)) x)
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (cos.f64 y) x))
(* z (- (/ (* x (cos y)) z) (sin y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (cos.f64 y) x))
(* z (+ (* -1 y) (/ x z)))
(-.f64 x (*.f64 z y))
(* z (- (/ 1 z) (/ y x)))
(/.f64 (-.f64 x (*.f64 z y)) x)
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (cos.f64 y) x))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (cos.f64 y) x))
(* -1 (* z (+ y (* -1 (/ x z)))))
(-.f64 x (*.f64 z y))
(* z (+ (* -1 (/ y x)) (/ 1 z)))
(/.f64 (-.f64 x (*.f64 z y)) x)
(* -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)))))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (cos.f64 y) x))
(* -1 (* (sqrt (* z (sin y))) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (sin.f64 y) z))

rewrite268.0ms (2.5%)

Memory
-9.1MiB live, 342.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047227
069212
1264208
21410194
09040189
Stop Event
iter limit
node limit
iter limit
Counts
21 → 836
Calls
Call 1
Inputs
(fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (*.f64 (neg.f64 (sin.f64 y)) z))
(/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))
(pow.f64 (cos.f64 y) #s(literal 4 binary64))
(cos.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) x)))
#s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) x)
#s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))) x)
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))) x)))
#s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))) x))
(-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x)))
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(*.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))
(pow.f64 (cos.f64 y) #s(literal 5 binary64))
(*.f64 y (/.f64 z x))
(sqrt.f64 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) z)
Outputs
(*.f64 (/.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y))))) (/.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (-.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 z (sin.f64 y))))))
(*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64))) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64))) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64))) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (*.f64 (*.f64 z (sin.f64 y)) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64))) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (pow.f64 (cos.f64 y) #s(literal 5 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (pow.f64 (cos.f64 y) #s(literal 5 binary64))) (*.f64 (neg.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (pow.f64 (cos.f64 y) #s(literal 5 binary64))) (*.f64 (*.f64 z (sin.f64 y)) (*.f64 (neg.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (pow.f64 (cos.f64 y) #s(literal 5 binary64)))))))
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eval119.0ms (1.1%)

Memory
23.2MiB live, 253.1MiB allocated
Compiler

Compiled 18 347 to 2 079 computations (88.7% saved)

prune70.0ms (0.7%)

Memory
-3.9MiB live, 141.0MiB allocated
Pruning

34 alts after pruning (26 fresh and 8 done)

PrunedKeptTotal
New70411715
Fresh61521
Picked235
Done055
Total71234746
Accuracy
100.0%
Counts
746 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 (/.f64 x (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (*.f64 (neg.f64 (sin.f64 y)) z))
75.5%
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64)) x))
53.4%
(-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
53.3%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 (sin.f64 y) z))))
50.2%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)) z))
47.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64))))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
50.7%
(-.f64 (*.f64 x #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
50.2%
#s(approx (- (* x (/ (pow (cos y) 9) (pow (cos y) 8))) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
86.9%
#s(approx (- (* x (/ (pow (cos y) 9) (pow (cos y) 8))) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)) z))
24.7%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y)))
52.1%
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
49.3%
#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)))))
88.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
87.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z))
27.0%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x z) (cos.f64 y)) #s(literal 3 binary64)) (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)))) (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3/2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3/2 binary64))) (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))))) z))
42.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
45.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (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))) z))
45.6%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z))) z))
30.8%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z))
47.3%
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (-.f64 (/.f64 x z) y)) z))
49.3%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) z)) x)))
43.7%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))) x)))
20.4%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
12.1%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) (*.f64 (neg.f64 y) (/.f64 z x))) x)))
35.6%
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) x)))
19.8%
#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)))
26.9%
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) #s(literal 2 binary64)))
59.0%
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))
59.0%
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) x))
45.9%
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (exp.f64 (log.f64 (cos.f64 y))) x))
59.1%
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x))
33.0%
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
33.1%
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) #s(approx (* (cos y) x) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) x)))
Compiler

Compiled 2 460 to 921 computations (62.6% saved)

regimes80.0ms (0.7%)

Memory
-6.4MiB live, 176.0MiB allocated
Counts
59 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) #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))) (fma.f64 (neg.f64 z) y x))
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (-.f64 (/.f64 x z) y)) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x))
#s(approx (- (* x (/ (pow (cos y) 9) (pow (cos y) 8))) (* 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))) #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) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) (*.f64 (neg.f64 y) (/.f64 z x))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) z)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x)))
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) #s(approx (* (cos y) x) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) x)))
(-.f64 (*.f64 x #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (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 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z))) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (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))) z))
#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)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (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 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64)) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) #s(literal 2 binary64)))
#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 (/ (pow (cos y) 9) (pow (cos y) 8))) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)) z))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (exp.f64 (log.f64 (cos.f64 y))) x))
(-.f64 (*.f64 x (exp.f64 (log.f64 (cos.f64 y)))) #s(approx (* z (sin y)) (*.f64 z y)))
(-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)) 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 (exp.f64 (log.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) x))
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))
(-.f64 (*.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (cos.f64 y) #s(literal 8 binary64)))) #s(approx (* z (sin y)) (*.f64 z y)))
(-.f64 (*.f64 x (*.f64 (pow.f64 (cos.f64 y) #s(literal -3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (cos.f64 y) #s(literal 8 binary64)))) (*.f64 z (sin.f64 y)))
(fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (*.f64 (neg.f64 (sin.f64 y)) z))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 (sin.f64 y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (+.f64 (cosh.f64 (log.f64 (sin.f64 y))) (sinh.f64 (log.f64 (sin.f64 y))))))
(-.f64 (*.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 z (sin.f64 y)))
(fma.f64 (/.f64 x (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (*.f64 (neg.f64 (sin.f64 y)) z))
(-.f64 (*.f64 x (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (*.f64 z (sin.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)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
(-.f64 (*.f64 x (/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))))))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (/.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 12 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))))))) (*.f64 z (sin.f64 y)))
(*.f64 (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)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x z) (cos.f64 y)) #s(literal 3 binary64)) (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)))) (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3/2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3/2 binary64))) (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))))) z))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

22.0ms
y
19.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
18.0ms
z
18.0ms
x
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)

regimes60.0ms (0.6%)

Memory
-8.9MiB live, 107.8MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) #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))) (fma.f64 (neg.f64 z) y x))
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (-.f64 (/.f64 x z) y)) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x))
#s(approx (- (* x (/ (pow (cos y) 9) (pow (cos y) 8))) (* 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))) #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) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) (*.f64 (neg.f64 y) (/.f64 z x))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) z)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x)))
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) #s(approx (* (cos y) x) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) x)))
(-.f64 (*.f64 x #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (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 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z))) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (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))) z))
#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)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (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 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64)) x))
Outputs
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64)) x))
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x))
Calls

4 calls:

34.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
9.0ms
y
7.0ms
x
7.0ms
z
Results
AccuracySegmentsBranch
75.5%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
89.4%3x
83.6%3y
87.2%3z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes12.0ms (0.1%)

Memory
-19.9MiB live, 25.7MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) #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))) (fma.f64 (neg.f64 z) y x))
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (-.f64 (/.f64 x z) y)) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x))
#s(approx (- (* x (/ (pow (cos y) 9) (pow (cos y) 8))) (* 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))) #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) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) (*.f64 (neg.f64 y) (/.f64 z x))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) z)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x)))
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) #s(approx (* (cos y) x) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) x)))
(-.f64 (*.f64 x #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (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 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z))) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (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))) z))
#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)))
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (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)))
Outputs
#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)))
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
89.4%3x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes22.0ms (0.2%)

Memory
8.7MiB live, 54.5MiB allocated
Counts
22 → 4
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) #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))) (fma.f64 (neg.f64 z) y x))
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (-.f64 (/.f64 x z) y)) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x))
#s(approx (- (* x (/ (pow (cos y) 9) (pow (cos y) 8))) (* 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))) #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) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) (*.f64 (neg.f64 y) (/.f64 z x))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) z)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x)))
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) #s(approx (* (cos y) x) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) x)))
(-.f64 (*.f64 x #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (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 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z))) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (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))) z))
#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)))
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 (- (* 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))) (*.f64 (cos.f64 y) x))
Calls

3 calls:

8.0ms
y
6.0ms
x
6.0ms
z
Results
AccuracySegmentsBranch
82.6%4y
76.6%3z
80.4%3x
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes27.0ms (0.3%)

Memory
31.5MiB live, 76.7MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) #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))) (fma.f64 (neg.f64 z) y x))
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (-.f64 (/.f64 x z) y)) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x))
#s(approx (- (* x (/ (pow (cos y) 9) (pow (cos y) 8))) (* 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))) #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) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) (*.f64 (neg.f64 y) (/.f64 z x))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) z)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x)))
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) #s(approx (* (cos y) x) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) x)))
(-.f64 (*.f64 x #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (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 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z))) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (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))) z))
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (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

4 calls:

8.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
6.0ms
z
6.0ms
x
6.0ms
y
Results
AccuracySegmentsBranch
70.0%3z
62.3%3(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
71.8%3x
76.2%3y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes29.0ms (0.3%)

Memory
-21.7MiB live, 77.0MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) #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))) (fma.f64 (neg.f64 z) y x))
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (/.f64 x z)) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (-.f64 (/.f64 x z) y)) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x))
#s(approx (- (* x (/ (pow (cos y) 9) (pow (cos y) 8))) (* 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))) #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) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) (*.f64 (neg.f64 y) (/.f64 z x))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) z)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x)))
#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) #s(approx (* (cos y) x) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) x)))
(-.f64 (*.f64 x #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (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 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z))) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (* (/ x z) (cos y)) (sin y)) (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))) z))
Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
Calls

4 calls:

9.0ms
y
8.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
6.0ms
x
5.0ms
z
Results
AccuracySegmentsBranch
52.1%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
52.1%1z
52.1%1x
52.1%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes6.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) 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))) #s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) #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))) #s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) x)))
Calls

4 calls:

1.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
x
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
35.6%1y
42.4%3x
42.1%3z
35.6%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes2.0ms (0%)

Memory
7.5MiB live, 7.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
35.6%1z
35.6%1x
Compiler

Compiled 2 to 6 computations (-200% saved)

bsearch37.0ms (0.4%)

Memory
-20.6MiB live, 71.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
8.886375368729003e+32
7.877067179015355e+35
16.0ms
-1.6807455525035409e+120
-3.4868725248249294e+119
Samples
25.0ms224×0valid
Compiler

Compiled 964 to 630 computations (34.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-cos: 6.0ms (33.9% of total)
ival-mult: 5.0ms (28.2% of total)
ival-sin: 5.0ms (28.2% of total)
ival-sub: 1.0ms (5.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
8.886375368729003e+32
7.877067179015355e+35
1.0ms
-1.6807455525035409e+120
-3.4868725248249294e+119
Compiler

Compiled 474 to 378 computations (20.3% saved)

bsearch62.0ms (0.6%)

Memory
-9.0MiB live, 137.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
2.209366670447375e-18
8.616503906589419e-17
15.0ms
-1.1628124753454214e-7
-4.9093215096490764e-11
30.0ms
-8.559561876011708e+241
-2.0785093835398945e+231
Samples
41.0ms400×0valid
Compiler

Compiled 881 to 683 computations (22.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-cos: 9.0ms (35.4% of total)
ival-sin: 9.0ms (35.4% of total)
ival-mult: 5.0ms (19.7% of total)
ival-sub: 2.0ms (7.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Memory
12.1MiB live, 59.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.209366670447375e-18
8.616503906589419e-17
17.0ms
-4218.035915374401
-521.099133406211
Samples
11.0ms96×0valid
Compiler

Compiled 623 to 443 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 3.0ms (34.8% of total)
ival-sin: 3.0ms (34.8% of total)
ival-sub: 1.0ms (11.6% of total)
ival-mult: 1.0ms (11.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch40.0ms (0.4%)

Memory
15.8MiB live, 115.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
1.8788111834558487e-28
6.92142335139872e-22
18.0ms
-1.1962945509378589e-163
-2.0683714670111503e-167
Samples
26.0ms272×0valid
Compiler

Compiled 845 to 643 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-cos: 7.0ms (37.6% of total)
ival-mult: 5.0ms (26.9% of total)
ival-sin: 5.0ms (26.9% of total)
ival-sub: 1.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify46.0ms (0.4%)

Memory
-3.7MiB live, 85.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
098314
1200304
2386300
3839293
42598293
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -580000000000000014203871071376941190989642084028743024510772149005010642531783103872460228254849705845478846093938655232 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 3800000000000000023770178672132096 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64)) x)) #s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 x #s(literal -580000000000000014203871071376941190989642084028743024510772149005010642531783103872460228254849705845478846093938655232 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 3800000000000000023770178672132096 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 y #s(literal -2449999999999999946695840857482002835536229427634238620634454111473214318540455064600677077902677208829496947354115659912561601670363367620912161713614587354065345995695387842793442971145346304431603914938911974422524681865493515075584 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 -8689154328480147/75557863725914323419136 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal 215500602038799/2535301200456458802993406410752 binary64)) #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))) (*.f64 (cos.f64 y) x)))))
(if (<=.f64 y #s(literal -540 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 215500602038799/2535301200456458802993406410752 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 -2987651209594315/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 6805647338418769/2722258935367507707706996859454145691648 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))) #s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) x)))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -580000000000000014203871071376941190989642084028743024510772149005010642531783103872460228254849705845478846093938655232 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 3800000000000000023770178672132096 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64)) x)) #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 -580000000000000014203871071376941190989642084028743024510772149005010642531783103872460228254849705845478846093938655232 binary64)) (not (<=.f64 x #s(literal 3800000000000000023770178672132096 binary64)))) #s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64)) x)))
(if (<=.f64 x #s(literal -580000000000000014203871071376941190989642084028743024510772149005010642531783103872460228254849705845478846093938655232 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 3800000000000000023770178672132096 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 (or (<=.f64 x #s(literal -580000000000000014203871071376941190989642084028743024510772149005010642531783103872460228254849705845478846093938655232 binary64)) (not (<=.f64 x #s(literal 3800000000000000023770178672132096 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 (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))
(if (<=.f64 y #s(literal -2449999999999999946695840857482002835536229427634238620634454111473214318540455064600677077902677208829496947354115659912561601670363367620912161713614587354065345995695387842793442971145346304431603914938911974422524681865493515075584 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 -8689154328480147/75557863725914323419136 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal 215500602038799/2535301200456458802993406410752 binary64)) #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))) (*.f64 (cos.f64 y) x)))))
(if (<=.f64 y #s(literal -2449999999999999946695840857482002835536229427634238620634454111473214318540455064600677077902677208829496947354115659912561601670363367620912161713614587354065345995695387842793442971145346304431603914938911974422524681865493515075584 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 -8689154328480147/75557863725914323419136 binary64)) #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 215500602038799/2535301200456458802993406410752 binary64)) #s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (fma.f64 (neg.f64 z) y x)) #s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x)))))
(if (<=.f64 y #s(literal -540 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 215500602038799/2535301200456458802993406410752 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 -540 binary64)) (not (<=.f64 y #s(literal 215500602038799/2535301200456458802993406410752 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 -2987651209594315/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 6805647338418769/2722258935367507707706996859454145691648 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))) #s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) x)))))
(if (or (<=.f64 x #s(literal -2987651209594315/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008 binary64)) (not (<=.f64 x #s(literal 6805647338418769/2722258935367507707706996859454145691648 binary64)))) #s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) #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))) #s(approx (+ (* (neg z) y) x) (*.f64 #s(approx (- 1 (/ (* z y) x)) #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 #s(approx (- 1 (/ (* z y) x)) #s(literal 1 binary64)) x)))

soundness1.4s (13.5%)

Memory
-16.9MiB live, 1 032.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097265
1344258
21199252
34495246
08267227
0276836
1943803
23399779
37796779
08014728
055299
078227
1334184
22132163
08430163
0193492
1595488
21827484
34765482
08026455
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
iter limit
node limit
iter limit
node limit
Compiler

Compiled 734 to 302 computations (58.9% saved)

preprocess82.0ms (0.8%)

Memory
18.6MiB live, 64.4MiB allocated
Compiler

Compiled 942 to 210 computations (77.7% saved)

end0.0ms (0%)

Memory
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