Diagrams.ThreeD.Transform:aboutY from diagrams-lib-1.3.0.3

Time bar (total: 7.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.7s (21.7%)

Memory
13.1MiB live, 1 603.3MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-cos: 525.0ms (49.7% of total)
ival-sin: 336.0ms (31.8% of total)
ival-mult: 139.0ms (13.2% of total)
ival-add: 47.0ms (4.5% of total)
ival-true: 6.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain171.0ms (2.2%)

Memory
5.0MiB live, 258.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
00-0-(sin.f64 y)
00-0-y
00-0-(*.f64 x (cos.f64 y))
00-0-z
00-0-(cos.f64 y)
00-0-x
00-0-(*.f64 z (sin.f64 y))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
62.0ms512×0valid
Compiler

Compiled 109 to 44 computations (59.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-sin: 16.0ms (42.7% of total)
ival-cos: 11.0ms (29.3% of total)
ival-mult: 7.0ms (18.7% of total)
ival-add: 2.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess44.0ms (0.6%)

Memory
-6.4MiB live, 30.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03587
17981
213981
330781
445881
568881
686181
794781
8102581
9109181
10110581
11111081
12111281
089
0139
1169
0168
Stop Event
iter limit
saturated
iter limit
saturated
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 (sin.f64 y) z (*.f64 (cos.f64 y) x))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

simplify3.0ms (0%)

Memory
4.0MiB live, 4.0MiB 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-diff128
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01324
11624
01623
Stop Event
iter limit
saturated
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 (sin.f64 y) z (*.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)

localize33.0ms (0.4%)

Memory
19.8MiB live, 56.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 y)
accuracy0.0078125
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy0.1015625
(*.f64 x (cos.f64 y))
accuracy0.1328125
(*.f64 z (sin.f64 y))
Samples
27.0ms256×0valid
Compiler

Compiled 50 to 18 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-cos: 6.0ms (33.4% of total)
ival-mult: 6.0ms (33.4% of total)
ival-sin: 5.0ms (27.8% of total)
ival-add: 1.0ms (5.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
-30.9MiB live, 13.6MiB allocated
Counts
4 → 23
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
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y 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) (/ (* x (cos y)) z)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
Calls

9 calls:

TimeVariablePointExpression
7.0ms
y
@0
((+ (* 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
y
@inf
((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms
z
@0
((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))

simplify176.0ms (2.3%)

Memory
21.4MiB live, 205.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093240
1295236
2891230
32075224
43736224
56393224
08811195
Stop Event
iter limit
node limit
Counts
23 → 22
Calls
Call 1
Inputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y 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) (/ (* x (cos y)) z)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
Outputs
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
x
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)
(+ 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))))))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) 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 (fma.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 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #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 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 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 5 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z))
(cos y)
(cos.f64 y)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))

rewrite562.0ms (7.3%)

Memory
-0.1MiB live, 290.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
01319
12919
218519
3183619
0838618
Stop Event
iter limit
node limit
iter limit
Counts
4 → 176
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 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (*.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 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (*.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 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 9 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 3 binary64))) #s(literal -1 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 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))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.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 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.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 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (neg.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (pow.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))) (fma.f64 (-.f64 (*.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 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 9 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 9 binary64))) (fma.f64 (-.f64 (*.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 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.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 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))))
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(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.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 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (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 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.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 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (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 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (+.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (+.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 (*.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 (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 (sin.f64 y) z) #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 (*.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 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z))) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 (*.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))))) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (+.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 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) (+.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 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 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))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 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))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #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 6 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 (*.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 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 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 (*.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 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (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 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (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 (cos.f64 y) x) (*.f64 (neg.f64 z) (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.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 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (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 (sin.f64 y) z) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (cos.f64 y))))
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(cos.f64 y)
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (sin.f64 y))))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (pow.f64 (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 #s(literal -1 binary64) (*.f64 (neg.f64 z) (sin.f64 y)))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))

eval22.0ms (0.3%)

Memory
2.5MiB live, 40.2MiB allocated
Compiler

Compiled 7 649 to 562 computations (92.7% saved)

prune17.0ms (0.2%)

Memory
-8.7MiB live, 30.2MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New17717194
Fresh000
Picked101
Done000
Total17817195
Accuracy
99.9%
Counts
195 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.0%
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
85.4%
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
57.1%
(fma.f64 (*.f64 (*.f64 (cos.f64 y) x) x) (/.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
57.0%
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
99.8%
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
99.8%
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
33.1%
(/.f64 (pow.f64 (fma.f64 (-.f64 (*.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 -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
56.6%
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
57.2%
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
99.6%
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
68.5%
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
75.1%
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
26.0%
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.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 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))))
53.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
52.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
53.9%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
37.3%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
Compiler

Compiled 822 to 466 computations (43.3% saved)

simplify121.0ms (1.6%)

Memory
10.4MiB live, 88.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 y)
cost-diff0
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
cost-diff128
(neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))
cost-diff41920
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
cost-diff0
(*.f64 (sin.f64 y) z)
cost-diff0
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
cost-diff0
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
cost-diff27392
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
#s(approx (cos y) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
cost-diff128
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
cost-diff0
(fma.f64 z y x)
cost-diff0
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 (cos.f64 y) x)
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034265
060222
1104222
2190221
3549221
41636221
54419221
66260221
08032220
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(sin.f64 y)
y
z
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(fma.f64 z y x)
z
y
x
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(*.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
#s(literal 2 binary64)
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(cos.f64 y)
y
#s(literal 2 binary64)
(/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
(*.f64 x x)
x
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(neg.f64 z)
z
(sin.f64 y)
(*.f64 (cos.f64 y) x)
(neg.f64 (/.f64 (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 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(*.f64 (sin.f64 y) z)
Outputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(sin.f64 y)
y
z
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(cos.f64 y)
x
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(fma.f64 z y x)
z
y
x
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y)))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(sin.f64 y)
y
z
#s(literal 2 binary64)
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(cos.f64 y)
x
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(cos.f64 y)
y
#s(literal 2 binary64)
(/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
(/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))
(*.f64 x x)
x
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))
(neg.f64 z)
z
(sin.f64 y)
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(neg.f64 (/.f64 (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 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (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 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))

localize97.0ms (1.3%)

Memory
25.7MiB live, 136.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.23046875
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy0.25294877930532605
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy11.059905630073501
(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
accuracy21.990293644144987
(/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
accuracy0.1328125
(*.f64 (sin.f64 y) z)
accuracy0.25294877930532605
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy1.6015542433208234
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
accuracy27.373308822486514
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
accuracy0.0078125
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
accuracy0.1015625
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
accuracy0.1328125
(*.f64 z (sin.f64 y))
accuracy27.489713228020282
#s(approx (cos y) #s(literal 1 binary64))
accuracy0
(fma.f64 z y x)
accuracy29.495078538633734
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
accuracy0
(sin.f64 y)
accuracy0
(cos.f64 y)
accuracy0.04296875
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
accuracy0.1015625
(*.f64 (cos.f64 y) x)
Samples
73.0ms256×0valid
Compiler

Compiled 530 to 66 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 19.0ms (36.9% of total)
ival-pow2: 7.0ms (13.6% of total)
ival-sin: 6.0ms (11.7% of total)
ival-add: 5.0ms (9.7% of total)
ival-cos: 5.0ms (9.7% of total)
ival-div: 4.0ms (7.8% of total)
ival-sub: 2.0ms (3.9% of total)
ival-neg: 2.0ms (3.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series65.0ms (0.8%)

Memory
-37.3MiB live, 47.2MiB allocated
Counts
19 → 136
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(sin.f64 y)
(*.f64 (cos.f64 y) x)
(cos.f64 y)
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(fma.f64 z y x)
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
#s(approx (cos y) #s(literal 1 binary64))
(*.f64 z (sin.f64 y))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(*.f64 (sin.f64 y) z)
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
Outputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* y z)
(+ x (* y z))
(* (pow z 2) (pow (sin y) 2))
(+ (* -1 (* (pow x 2) (pow (cos y) 2))) (* (pow z 2) (pow (sin y) 2)))
(- (* x (cos y)) (* -1 (* z (sin y))))
(- (* x (+ (cos y) (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))))) (* -1 (* z (sin y))))
(- (* x (+ (cos y) (/ (* x (pow (cos y) 2)) (* z (sin y))))) (* -1 (* z (sin y))))
(- (* x (+ (cos y) (* x (+ (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 2))) (/ (pow (cos y) 2) (* z (sin y))))))) (* -1 (* z (sin y))))
(* -1 (/ (pow x 2) (* z (sin y))))
(* (pow x 2) (- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))))
(* (pow x 2) (- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))))
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))))
(* -1 (* z (sin y)))
(+ (* -1 (* x (cos y))) (* -1 (* z (sin y))))
(+ (* -1 (* z (sin y))) (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* z (sin y)))) (cos y))))
(+ (* -1 (* z (sin y))) (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* z (sin y))))) (cos y))))
(* x (+ (cos y) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (* y z) x)))
(* -1 (* (pow x 2) (pow (cos y) 2)))
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))
(* x (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (pow x 2)))) (* -1 (/ (* z (sin y)) x))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))))
(/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3))))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* (pow z 5) (pow (sin y) 5)) (* (pow x 3) (pow (cos y) 4)))))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)
(/ x (cos y))
(* x (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))))
(* x (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))))
(* x (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))))
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))
(/ (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 5) (pow (sin y) 5)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))))) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x)))))
(* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3)) (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x))
(* -1 (* x (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y)))))
(* -1 (* x (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y)))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y)))))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2)))) x))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4)))) (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3))) x)) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2)))) x))) x))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ 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 (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(* -1 (pow x 2))
(- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow z 2)) (* (pow y 2) (- (* 2/45 (pow z 2)) (* -2/45 (pow x 2))))) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 x) (* y (- (* -1 (/ (pow z 3) (pow x 2))) (+ (* -1 (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* (pow y 2) (- (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x)))
(* (pow y 2) (- (* y (+ (* -1 (/ (pow z 3) (pow x 2))) (* y (- (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))) (* -1/3 (/ (pow z 2) x)))))) (/ (pow z 2) x)))
(* (pow y 2) (- (* y (+ (* -1 (/ (pow z 3) (pow x 2))) (* y (- (+ (* -1 (/ (pow z 4) (pow x 3))) (+ (* -1/2 (/ (pow z 2) x)) (* y (+ (* -1 (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x)) (+ (* -1/2 (/ (pow z 3) (pow x 2))) (* 1/6 (/ (pow z 3) (pow x 2)))))))) (* -1/3 (/ (pow z 2) x)))))) (/ (pow z 2) x)))
(+ 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)))
(+ x (* y (- (* -1 (* y (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(+ x (* y (- (* y (- (* -1 (* y (+ (* -1/2 z) (+ (* 1/6 z) (/ (* z (+ (* -1 (/ (pow z 2) x)) (* -1/2 x))) x))))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(/ (* (pow y 2) (pow z 2)) x)
(* (pow y 2) (+ (/ (* y (pow z 3)) (pow x 2)) (/ (pow z 2) x)))
(* (pow y 2) (+ (* y (- (* y (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x)))
(* (pow y 2) (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x)) (+ (* -1/2 (/ (pow z 3) (pow x 2))) (* 1/6 (/ (pow z 3) (pow x 2))))))) (* -1/3 (/ (pow z 2) x))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x)))
(sin y)
(cos y)
(* y (+ z (/ x y)))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y))))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(- (/ (* (pow x 2) (pow (cos y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))))
(pow (cos y) 2)
(/ (pow x 2) (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(* (pow z 2) (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3)))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (- (* z (+ (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))) (* z (+ (* -1 (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))))) (/ (pow (sin y) 2) (* x (cos y)))))
(+ (/ x (cos y)) (/ (* z (sin y)) (pow (cos y) 2)))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (sin y) (pow (cos y) 2))))) (/ x (cos y)))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* x (pow (cos y) 3)))))) (* -1 (/ (sin y) (pow (cos y) 2))))) (/ x (cos y)))
(* (pow z 2) (+ (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ y (/ x z)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* z (- (/ (* x (cos y)) z) (* -1 (sin y))))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (* -1 (sin y))))
(* z (- (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (* -1 (sin y))))
(* z (- (+ (/ (* x (cos y)) z) (+ (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))) (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (* -1 (sin y))))
(/ (+ (* -1 (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (pow x 2) (sin y)))) z)
(/ (- (+ (* -1 (/ (* (pow x 4) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (* -1 (/ (pow x 2) (sin y)))) (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 5) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (* -1 (/ (pow x 2) (sin y)))) (+ (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 4) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) z)
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))
(* z (- (+ (* -1 (sin y)) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (/ (* x (cos y)) z)))
(* z (- (+ (* -1 (sin y)) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (sin y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (sin y))))
(* -1 (* z (- (* -1 (/ (+ (* x (cos y)) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) z)) (sin y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))))) z)) (* x (cos y))) z)) (sin y))))
(* -1 (/ (+ (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2))) (/ (pow x 2) (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 4) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* (pow x 3) (cos y)) (pow (sin y) 2))) z)) (/ (pow x 2) (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 5) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 4) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* (pow x 3) (cos y)) (pow (sin y) 2))) z)) (/ (pow x 2) (sin y))) z))
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z))))
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* x (cos y))) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* x (cos y))) z)))))
Calls

9 calls:

TimeVariablePointExpression
14.0ms
x
@0
((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (* (sin y) z) (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x))) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))
13.0ms
z
@-inf
((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (* (sin y) z) (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x))) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))
7.0ms
y
@0
((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (* (sin y) z) (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x))) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))
5.0ms
y
@inf
((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (* (sin y) z) (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x))) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))
5.0ms
x
@inf
((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (* (sin y) z) (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x))) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))

simplify172.0ms (2.2%)

Memory
13.1MiB live, 173.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07083613
124543401
085533229
Stop Event
iter limit
node limit
Counts
136 → 134
Calls
Call 1
Inputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* y z)
(+ x (* y z))
(* (pow z 2) (pow (sin y) 2))
(+ (* -1 (* (pow x 2) (pow (cos y) 2))) (* (pow z 2) (pow (sin y) 2)))
(- (* x (cos y)) (* -1 (* z (sin y))))
(- (* x (+ (cos y) (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))))) (* -1 (* z (sin y))))
(- (* x (+ (cos y) (/ (* x (pow (cos y) 2)) (* z (sin y))))) (* -1 (* z (sin y))))
(- (* x (+ (cos y) (* x (+ (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 2))) (/ (pow (cos y) 2) (* z (sin y))))))) (* -1 (* z (sin y))))
(* -1 (/ (pow x 2) (* z (sin y))))
(* (pow x 2) (- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))))
(* (pow x 2) (- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))))
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))))
(* -1 (* z (sin y)))
(+ (* -1 (* x (cos y))) (* -1 (* z (sin y))))
(+ (* -1 (* z (sin y))) (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* z (sin y)))) (cos y))))
(+ (* -1 (* z (sin y))) (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* z (sin y))))) (cos y))))
(* x (+ (cos y) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (* y z) x)))
(* -1 (* (pow x 2) (pow (cos y) 2)))
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))
(* x (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (pow x 2)))) (* -1 (/ (* z (sin y)) x))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))))
(/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3))))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* (pow z 5) (pow (sin y) 5)) (* (pow x 3) (pow (cos y) 4)))))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)
(/ x (cos y))
(* x (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))))
(* x (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))))
(* x (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))))
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))
(/ (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 5) (pow (sin y) 5)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))))) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x)))))
(* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3)) (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x))
(* -1 (* x (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y)))))
(* -1 (* x (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y)))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y)))))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2)))) x))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4)))) (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3))) x)) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2)))) x))) x))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ 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 (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(* -1 (pow x 2))
(- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow z 2)) (* (pow y 2) (- (* 2/45 (pow z 2)) (* -2/45 (pow x 2))))) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 x) (* y (- (* -1 (/ (pow z 3) (pow x 2))) (+ (* -1 (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* (pow y 2) (- (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x)))
(* (pow y 2) (- (* y (+ (* -1 (/ (pow z 3) (pow x 2))) (* y (- (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))) (* -1/3 (/ (pow z 2) x)))))) (/ (pow z 2) x)))
(* (pow y 2) (- (* y (+ (* -1 (/ (pow z 3) (pow x 2))) (* y (- (+ (* -1 (/ (pow z 4) (pow x 3))) (+ (* -1/2 (/ (pow z 2) x)) (* y (+ (* -1 (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x)) (+ (* -1/2 (/ (pow z 3) (pow x 2))) (* 1/6 (/ (pow z 3) (pow x 2)))))))) (* -1/3 (/ (pow z 2) x)))))) (/ (pow z 2) x)))
(+ 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)))
(+ x (* y (- (* -1 (* y (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(+ x (* y (- (* y (- (* -1 (* y (+ (* -1/2 z) (+ (* 1/6 z) (/ (* z (+ (* -1 (/ (pow z 2) x)) (* -1/2 x))) x))))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(/ (* (pow y 2) (pow z 2)) x)
(* (pow y 2) (+ (/ (* y (pow z 3)) (pow x 2)) (/ (pow z 2) x)))
(* (pow y 2) (+ (* y (- (* y (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x)))
(* (pow y 2) (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x)) (+ (* -1/2 (/ (pow z 3) (pow x 2))) (* 1/6 (/ (pow z 3) (pow x 2))))))) (* -1/3 (/ (pow z 2) x))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x)))
(sin y)
(cos y)
(* y (+ z (/ x y)))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y))))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(- (/ (* (pow x 2) (pow (cos y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))))
(pow (cos y) 2)
(/ (pow x 2) (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(* (pow z 2) (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3)))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (- (* z (+ (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))) (* z (+ (* -1 (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))))) (/ (pow (sin y) 2) (* x (cos y)))))
(+ (/ x (cos y)) (/ (* z (sin y)) (pow (cos y) 2)))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (sin y) (pow (cos y) 2))))) (/ x (cos y)))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* x (pow (cos y) 3)))))) (* -1 (/ (sin y) (pow (cos y) 2))))) (/ x (cos y)))
(* (pow z 2) (+ (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ y (/ x z)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* z (- (/ (* x (cos y)) z) (* -1 (sin y))))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (* -1 (sin y))))
(* z (- (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (* -1 (sin y))))
(* z (- (+ (/ (* x (cos y)) z) (+ (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))) (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (* -1 (sin y))))
(/ (+ (* -1 (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (pow x 2) (sin y)))) z)
(/ (- (+ (* -1 (/ (* (pow x 4) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (* -1 (/ (pow x 2) (sin y)))) (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 5) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (* -1 (/ (pow x 2) (sin y)))) (+ (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 4) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) z)
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))
(* z (- (+ (* -1 (sin y)) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (/ (* x (cos y)) z)))
(* z (- (+ (* -1 (sin y)) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (sin y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (sin y))))
(* -1 (* z (- (* -1 (/ (+ (* x (cos y)) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) z)) (sin y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))))) z)) (* x (cos y))) z)) (sin y))))
(* -1 (/ (+ (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2))) (/ (pow x 2) (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 4) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* (pow x 3) (cos y)) (pow (sin y) 2))) z)) (/ (pow x 2) (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 5) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 4) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* (pow x 3) (cos y)) (pow (sin y) 2))) z)) (/ (pow x 2) (sin y))) z))
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z))))
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* x (cos y))) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* x (cos y))) z)))))
Outputs
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* y z)
(*.f64 z y)
(+ x (* y z))
(fma.f64 z y x)
(* (pow z 2) (pow (sin y) 2))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
(+ (* -1 (* (pow x 2) (pow (cos y) 2))) (* (pow z 2) (pow (sin y) 2)))
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))
(- (* x (cos y)) (* -1 (* z (sin y))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(- (* x (+ (cos y) (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))))) (* -1 (* z (sin y))))
(fma.f64 (fma.f64 #s(literal 0 binary64) x (cos.f64 y)) x (*.f64 (sin.f64 y) z))
(- (* x (+ (cos y) (/ (* x (pow (cos y) 2)) (* z (sin y))))) (* -1 (* z (sin y))))
(fma.f64 (fma.f64 (/.f64 x (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (cos.f64 y)) x (*.f64 (sin.f64 y) z))
(- (* x (+ (cos y) (* x (+ (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 2))) (/ (pow (cos y) 2) (* z (sin y))))))) (* -1 (* z (sin y))))
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(* -1 (/ (pow x 2) (* z (sin y))))
(/.f64 (neg.f64 (*.f64 x (/.f64 x z))) (sin.f64 y))
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(* (pow x 2) (- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))))
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(* (pow x 2) (- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))))
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(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(+ (* -1 (* x (cos y))) (* -1 (* z (sin y))))
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(+ (* -1 (* z (sin y))) (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* z (sin y)))) (cos y))))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (neg.f64 (fma.f64 (/.f64 x (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (cos.f64 y))) x))
(+ (* -1 (* z (sin y))) (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* z (sin y))))) (cos y))))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (sin.f64 y)))) x (neg.f64 (cos.f64 y))) x))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x)
x
(* x (+ 1 (/ (* y z) x)))
(fma.f64 (/.f64 (*.f64 z y) x) x x)
(* -1 (* (pow x 2) (pow (cos y) 2)))
(*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))
(* x (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (pow x 2)))) (* -1 (/ (* z (sin y)) x))))
(*.f64 (+.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) x)
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))))
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(/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y)))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3))))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)
(/.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (cos.f64 y)) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) x) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* (pow z 5) (pow (sin y) 5)) (* (pow x 3) (pow (cos y) 4)))))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)
(/.f64 (-.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) x) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 x))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y))) x)
(/ x (cos y))
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(* x (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))))
(fma.f64 (*.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x)) x (/.f64 x (cos.f64 y)))
(* x (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z) x)) x)
(* x (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))))
(*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z) (neg.f64 x)))) x)
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (*.f64 (cos.f64 y) x))
(/ (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x)
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y))) x)
(/ (- (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) x)
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (cos.f64 y)) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) x) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x)) x)
(/ (- (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 5) (pow (sin y) 5)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))))) x)
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y))) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) x) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 x))) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
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(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x)))))
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(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))))
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(/ (pow x 2) (+ (* -1 (* z (sin y))) (* x (cos y))))
(/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
(/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y))))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) z))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(fma.f64 (fma.f64 #s(literal 0 binary64) z (sin.f64 y)) z (*.f64 (cos.f64 y) x))
(* (pow z 2) (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* x (cos y)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) x) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)))) (*.f64 z z))
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3)))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y)))))
(*.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)))) z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 (cos.f64 y)))) (*.f64 z z))
(* (pow z 2) (- (* z (+ (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))) (* z (+ (* -1 (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))))) (/ (pow (sin y) 2) (* x (cos y)))))
(*.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) z (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))) z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 (cos.f64 y)))) (*.f64 z z))
(+ (/ x (cos y)) (/ (* z (sin y)) (pow (cos y) 2)))
(fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 x (cos.f64 y)))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (sin y) (pow (cos y) 2))))) (/ x (cos y)))
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (/.f64 x (cos.f64 y)))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* x (pow (cos y) 3)))))) (* -1 (/ (sin y) (pow (cos y) 2))))) (/ x (cos y)))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 z (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x) x)) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) z (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (/.f64 x (cos.f64 y)))
(* (pow z 2) (+ (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2))) (/ (pow (sin y) 2) (* x (cos y)))))
(*.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) x) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y))) (*.f64 z z))
(* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y))) (*.f64 z z))
(* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) z (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y))) (*.f64 z z))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)
(* z (+ y (/ x z)))
(*.f64 (+.f64 (/.f64 x z) y) z)
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z))
(* z (- (/ (* x (cos y)) z) (* -1 (sin y))))
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (* -1 (sin y))))
(*.f64 (fma.f64 (neg.f64 (*.f64 x (/.f64 (/.f64 x z) z))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (fma.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (*.f64 x (/.f64 x (sin.f64 y))) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)))) z)
(* z (- (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (* -1 (sin y))))
(*.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (*.f64 x (/.f64 x (sin.f64 y))) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))) z)
(* z (- (+ (/ (* x (cos y)) z) (+ (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))) (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (* -1 (sin y))))
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (*.f64 x (/.f64 x (sin.f64 y))) (sin.f64 y)))) z)
(/ (+ (* -1 (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (pow x 2) (sin y)))) z)
(/.f64 (fma.f64 x (/.f64 x (sin.f64 y)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z))) (neg.f64 z))
(/ (- (+ (* -1 (/ (* (pow x 4) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (* -1 (/ (pow x 2) (sin y)))) (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2)))) z)
(/.f64 (fma.f64 (*.f64 x (/.f64 x (sin.f64 y))) #s(literal -1 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z)) z)
(/ (- (+ (* -1 (/ (* (pow x 5) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (* -1 (/ (pow x 2) (sin y)))) (+ (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 4) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) z)
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 x (sin.f64 y)) (*.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z)) z)
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))
(*.f64 (neg.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))) z)
(* z (- (+ (* -1 (sin y)) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 y) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (cos.f64 y)) x)) z)) z)
(* z (- (+ (* -1 (sin y)) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))
(*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sin.f64 y)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (cos.f64 y)) x)) z)) z)
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(*.f64 (+.f64 (/.f64 x z) y) z)
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (sin y))))
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (sin y))))
(*.f64 (-.f64 (/.f64 (fma.f64 (cos.f64 y) x (/.f64 #s(literal 0 binary64) z)) (neg.f64 z)) (sin.f64 y)) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (+ (* x (cos y)) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) z)) (sin y))))
(*.f64 (-.f64 (sin.f64 y) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (cos.f64 y)) x)) z)) z)
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))))) z)) (* x (cos y))) z)) (sin y))))
(*.f64 (-.f64 (/.f64 (fma.f64 (cos.f64 y) x (/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x (/.f64 x (sin.f64 y))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)))) (neg.f64 z))) (neg.f64 z)) (sin.f64 y)) (neg.f64 z))
(* -1 (/ (+ (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2))) (/ (pow x 2) (sin y))) z))
(/.f64 (fma.f64 x (/.f64 x (sin.f64 y)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z))) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 4) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* (pow x 3) (cos y)) (pow (sin y) 2))) z)) (/ (pow x 2) (sin y))) z))
(/.f64 (-.f64 (*.f64 x (/.f64 x (sin.f64 y))) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z)) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 5) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 4) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* (pow x 3) (cos y)) (pow (sin y) 2))) z)) (/ (pow x 2) (sin y))) z))
(/.f64 (fma.f64 x (/.f64 x (sin.f64 y)) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) z) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 z))) (neg.f64 z))
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z))))
(*.f64 (neg.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))) z)
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* x (cos y))) z)))))
(*.f64 (-.f64 (sin.f64 y) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (cos.f64 y)) x)) z)) (neg.f64 z))
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* x (cos y))) z)))))
(*.f64 (-.f64 (sin.f64 y) (/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x (/.f64 x (sin.f64 y))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)))) z) (*.f64 (cos.f64 y) x)) z)) (neg.f64 z))

rewrite241.0ms (3.1%)

Memory
20.2MiB live, 410.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034190
060147
1237147
21667147
08260146
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 305
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(sin.f64 y)
(*.f64 (cos.f64 y) x)
(cos.f64 y)
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(fma.f64 z y x)
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
#s(approx (cos y) #s(literal 1 binary64))
(*.f64 z (sin.f64 y))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
(*.f64 (sin.f64 y) z)
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(*.f64 x (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))
(pow.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))
(/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 x #s(literal -2 binary64))))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (neg.f64 x) (cos.f64 y))))
(*.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))
(*.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)))
(*.f64 (*.f64 z (sin.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))
(*.f64 (*.f64 z (sin.f64 y)) (*.f64 (*.f64 z (sin.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))
(pow.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))
(/.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))
(/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))))
(/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))) (/.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64)))) #s(literal -1 binary64)))

eval200.0ms (2.6%)

Memory
-13.6MiB live, 228.6MiB allocated
Compiler

Compiled 44 293 to 3 126 computations (92.9% saved)

prune38.0ms (0.5%)

Memory
16.9MiB live, 93.2MiB allocated
Pruning

29 alts after pruning (26 fresh and 3 done)

PrunedKeptTotal
New92421945
Fresh7512
Picked235
Done000
Total93329962
Accuracy
100.0%
Counts
962 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.9%
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))))))
85.4%
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
50.1%
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
99.8%
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
75.1%
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
99.8%
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
33.1%
(/.f64 (pow.f64 (fma.f64 (-.f64 (*.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 -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
56.6%
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
57.2%
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
21.4%
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
34.5%
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
68.5%
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
39.7%
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))))
52.7%
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (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 y y) #s(literal 1 binary64)) y))))
52.5%
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))
52.7%
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
52.7%
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
26.6%
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x))
87.0%
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
53.0%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
52.8%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
88.6%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
37.3%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
53.9%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
52.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
47.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
40.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
47.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))))
17.4%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
Compiler

Compiled 1 333 to 854 computations (35.9% saved)

simplify23.0ms (0.3%)

Memory
-21.9MiB live, 23.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (*.f64 x (cos.f64 y)))
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
cost-diff7104
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) z)
cost-diff0
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
cost-diff0
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
cost-diff0
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z)
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)
cost-diff0
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
cost-diff0
(*.f64 z y)
cost-diff0
#s(approx (+ (* z y) x) (*.f64 z y))
cost-diff0
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) z)
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033177
052168
169168
291168
3174168
4307168
5394168
6412168
7424168
8518168
9535168
10564168
11565168
12566168
0566166
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(cos.f64 y)
y
x
(*.f64 (sin.f64 y) z)
(sin.f64 y)
z
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* z y) x) (*.f64 z y))
(*.f64 z y)
z
y
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z)
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
#s(literal -1/6 binary64)
(*.f64 z y)
z
y
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
(sin.f64 y)
y
z
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
#s(literal 2 binary64)
Outputs
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(cos.f64 y)
y
x
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(sin.f64 y)
z
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* z y) x) (*.f64 z y))
(*.f64 z y)
z
y
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z)
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
#s(literal -1/6 binary64)
(*.f64 z y)
z
y
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(sin.f64 y)
y
z
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(sin.f64 y)
y
z
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
(*.f64 x (cos.f64 y))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
#s(literal 2 binary64)

localize127.0ms (1.6%)

Memory
26.4MiB live, 139.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
accuracy0.03515625
(sqrt.f64 (*.f64 x (cos.f64 y)))
accuracy0.0625
(*.f64 x (cos.f64 y))
accuracy0.250663769536884
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
accuracy0
(sin.f64 y)
accuracy0.07421875
(*.f64 (sin.f64 y) z)
accuracy21.77398329299256
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
accuracy0.01953125
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)
accuracy0.01953125
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z)
accuracy0.0546875
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
accuracy16.337201492346402
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
accuracy0
(*.f64 z y)
accuracy16.150536104532534
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
accuracy17.719279860020247
#s(approx (+ (* z y) x) (*.f64 z y))
accuracy0
(sin.f64 y)
accuracy0
(cos.f64 y)
accuracy0.046875
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
accuracy0.07421875
(*.f64 (sin.f64 y) z)
Samples
80.0ms129×0valid
29.0ms127×0invalid
Compiler

Compiled 330 to 62 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-mult: 32.0ms (36.6% of total)
ival-sqrt: 28.0ms (32% of total)
ival-add: 8.0ms (9.2% of total)
ival-cos: 6.0ms (6.9% of total)
ival-sin: 5.0ms (5.7% of total)
const: 4.0ms (4.6% of total)
ival-pow2: 2.0ms (2.3% of total)
ival-true: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series44.0ms (0.6%)

Memory
-5.4MiB live, 39.4MiB allocated
Counts
16 → 85
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(cos.f64 y)
(*.f64 (sin.f64 y) z)
(sin.f64 y)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* z y) x) (*.f64 z y))
(*.f64 z y)
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z)
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
Outputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(* y z)
(+ x (* y z))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))
(+ z (* -1/6 (* (pow y 2) z)))
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z))))
(* -1/6 (* y z))
(+ (* -1/2 x) (* -1/6 (* y z)))
(* x (cos y))
(sqrt (* x (cos y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))
(* -1/2 (* x y))
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))))
(* -1/2 x)
(* x (- (* -1/6 (/ (* y z) x)) 1/2))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y))))
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2)))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* y (+ 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)))))))
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))))
z
(+ z (* -1/2 (* x y)))
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y 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))))))
(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)))))))))
(cos y)
(sin y)
(* y (+ z (/ x y)))
(* -1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2))))))
(* -1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(* y (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z)))
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y)))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ y (/ x z)))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(* z (+ 1 (* -1/6 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))
(* z (+ (* -1/2 (/ x z)) (* -1/6 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* z (- (* 1/6 (pow y 2)) 1)))
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1)))
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))
Calls

9 calls:

TimeVariablePointExpression
19.0ms
x
@inf
((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (+ (* (sin y) z) (* (cos y) x)) (pow (sqrt (* x (cos y))) 2) (+ (* (sin y) z) (pow (sqrt (* x (cos y))) 2)) (sqrt (* x (cos y))) (* x (cos y)))
10.0ms
x
@-inf
((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (+ (* (sin y) z) (* (cos y) x)) (pow (sqrt (* x (cos y))) 2) (+ (* (sin y) z) (pow (sqrt (* x (cos y))) 2)) (sqrt (* x (cos y))) (* x (cos y)))
2.0ms
x
@0
((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (+ (* (sin y) z) (* (cos y) x)) (pow (sqrt (* x (cos y))) 2) (+ (* (sin y) z) (pow (sqrt (* x (cos y))) 2)) (sqrt (* x (cos y))) (* x (cos y)))
2.0ms
z
@-inf
((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (+ (* (sin y) z) (* (cos y) x)) (pow (sqrt (* x (cos y))) 2) (+ (* (sin y) z) (pow (sqrt (* x (cos y))) 2)) (sqrt (* x (cos y))) (* x (cos y)))
2.0ms
y
@-inf
((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (+ (* (sin y) z) (* (cos y) x)) (pow (sqrt (* x (cos y))) 2) (+ (* (sin y) z) (pow (sqrt (* x (cos y))) 2)) (sqrt (* x (cos y))) (* x (cos y)))

simplify254.0ms (3.3%)

Memory
0.0MiB live, 157.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02991062
19931015
23244993
37453987
08331895
Stop Event
iter limit
node limit
Counts
85 → 82
Calls
Call 1
Inputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(* y z)
(+ x (* y z))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))
(+ z (* -1/6 (* (pow y 2) z)))
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z))))
(* -1/6 (* y z))
(+ (* -1/2 x) (* -1/6 (* y z)))
(* x (cos y))
(sqrt (* x (cos y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))
(* -1/2 (* x y))
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))))
(* -1/2 x)
(* x (- (* -1/6 (/ (* y z) x)) 1/2))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y))))
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2)))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* y (+ 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)))))))
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))))
z
(+ z (* -1/2 (* x y)))
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y 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))))))
(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)))))))))
(cos y)
(sin y)
(* y (+ z (/ x y)))
(* -1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2))))))
(* -1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(* y (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z)))
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y)))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ y (/ x z)))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(* z (+ 1 (* -1/6 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))
(* z (+ (* -1/2 (/ x z)) (* -1/6 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* z (- (* 1/6 (pow y 2)) 1)))
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1)))
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))
Outputs
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* y z)
(*.f64 z y)
(+ x (* y z))
(fma.f64 z y x)
(* 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)
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x)
(+ z (* -1/6 (* (pow y 2) z)))
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z)
(* -1/6 (* y z))
(*.f64 #s(literal -1/6 binary64) (*.f64 z y))
(+ (* -1/2 x) (* -1/6 (* y z)))
(fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y)))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(sqrt (* x (cos y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
x
(* x (+ 1 (/ (* y z) x)))
(fma.f64 (/.f64 (*.f64 z y) x) x x)
(* x (+ 1 (* -1/2 (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))
(*.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) y (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) x)) #s(literal 1 binary64)) x)
(* -1/2 (* x y))
(*.f64 (*.f64 x y) #s(literal -1/2 binary64))
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) x)) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* -1/6 (/ (* y z) x)) 1/2))
(*.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 z y) x)))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x)
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (/.f64 (neg.f64 z) x) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) x)) x)
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))
(*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x))) x)
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (fma.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 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* 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))
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)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y)
z
(+ z (* -1/2 (* x y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z)
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z)
(+ x (* -1/2 (* x (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 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 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))
(sqrt x)
(sqrt.f64 x)
(+ (sqrt x) (* -1/4 (* (sqrt x) (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) (sqrt.f64 x))
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* 1/24 x) (* 1/16 x))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/48 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #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 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) (sqrt.f64 x)))
(cos y)
(cos.f64 y)
(sin y)
(sin.f64 y)
(* y (+ z (/ x y)))
(*.f64 (+.f64 (/.f64 x y) z) y)
(* -1/6 (* (pow y 3) z))
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64)) z)
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) z (/.f64 z (*.f64 y y)))) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2))))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) z (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 z (*.f64 y y))))) (pow.f64 y #s(literal 3 binary64)))
(* -1/6 (* (pow y 2) z))
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) y) y)
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) z (/.f64 z (*.f64 y y)))) y) y)
(* y (+ (* -1/2 (/ x y)) (* -1/6 z)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) y)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(*.f64 (+.f64 (/.f64 x y) z) y)
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y)))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)) y))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (+.f64 (/.f64 x y) z) y)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z)))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)) (neg.f64 y))) y) y)
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y)))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) y)
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x)
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(* z (+ y (/ x z)))
(*.f64 (+.f64 (/.f64 x z) y) z)
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x y) y) z) #s(literal -1/2 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) (+.f64 (/.f64 x z) y))) z)
(* z (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))
(*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z)
(* z (+ (* -1/2 (/ x z)) (* -1/6 y)))
(*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z)
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(*.f64 (+.f64 (/.f64 x z) y) z)
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 z y))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x (neg.f64 z)))) (neg.f64 z))
(* -1 (* z (- (* 1/6 (pow y 2)) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) z)
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))
(*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z)

rewrite288.0ms (3.7%)

Memory
2.1MiB live, 168.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033145
052136
1181136
21106136
08264134
Stop Event
iter limit
node limit
iter limit
Counts
16 → 375
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(cos.f64 y)
(*.f64 (sin.f64 y) z)
(sin.f64 y)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* z y) x) (*.f64 z y))
(*.f64 z y)
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z)
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
Outputs
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) (*.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))) (+.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))
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(*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 x (cos.f64 y)))))
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x (cos.f64 y)))
(exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 x (cos.f64 y))) (log.f64 (*.f64 x (cos.f64 y)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))

eval72.0ms (0.9%)

Memory
-17.9MiB live, 56.9MiB allocated
Compiler

Compiled 13 403 to 1 486 computations (88.9% saved)

prune60.0ms (0.8%)

Memory
-3.4MiB live, 36.4MiB allocated
Pruning

36 alts after pruning (29 fresh and 7 done)

PrunedKeptTotal
New35911370
Fresh31821
Picked145
Done033
Total36336399
Accuracy
100.0%
Counts
399 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.9%
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))))))
85.4%
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
42.1%
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))) (sqrt.f64 x) (*.f64 z (sin.f64 y)))
50.1%
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
99.8%
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
75.1%
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
99.8%
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
33.1%
(/.f64 (pow.f64 (fma.f64 (-.f64 (*.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 -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
56.6%
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
57.2%
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
21.4%
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
34.5%
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
68.5%
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
39.7%
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))))
52.7%
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (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 y y) #s(literal 1 binary64)) y))))
52.7%
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
26.6%
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x))
87.0%
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
52.8%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
46.6%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z)) y z) y x))
52.9%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x))
37.9%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) y x))
38.1%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
88.6%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
37.3%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
46.7%
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x (neg.f64 z)))) (neg.f64 z))))
38.0%
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
17.2%
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 z y))))
3.1%
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64)) z)))
17.0%
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (* (sin y) 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)))
53.9%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
47.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
40.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
47.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))))
17.4%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
Compiler

Compiled 1 785 to 1 155 computations (35.3% saved)

simplify208.0ms (2.7%)

Memory
17.8MiB live, 253.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff0
(*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))
cost-diff0
(sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y)))
cost-diff0
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))) (sqrt.f64 x) (*.f64 z (sin.f64 y)))
cost-diff0
(fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z)
cost-diff0
(fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x)
cost-diff0
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x))
cost-diff640
(-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x)))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))
cost-diff0
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))))
cost-diff1280
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)
cost-diff0
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))
cost-diff0
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064400
0100395
1180395
2382388
31079373
43492361
56734361
08040346
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
x
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))))
#s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))
(neg.f64 x)
x
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
(neg.f64 y)
y
(/.f64 z x)
z
#s(literal -1 binary64)
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x))
(fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x)
(fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z)
(-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x)))
(/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x))
(fma.f64 z z (*.f64 x x))
z
(*.f64 x x)
x
(neg.f64 x)
(-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(/.f64 (*.f64 z z) x)
(*.f64 z z)
y
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))) (sqrt.f64 x) (*.f64 z (sin.f64 y)))
(sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y)))
(*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(sqrt.f64 x)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
z
(sin.f64 y)
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)))
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
x
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* z y) x) (fma.f64 z y x)))
#s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))
#s(approx (+ (* z y) x) (fma.f64 z y x))
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))
(fma.f64 z y x)
(neg.f64 x)
x
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
(fma.f64 (/.f64 z x) (neg.f64 y) #s(literal -1 binary64))
(neg.f64 y)
y
(/.f64 z x)
z
#s(literal -1 binary64)
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (fma.f64 (/.f64 y x) (fma.f64 z z (neg.f64 (fma.f64 z z (*.f64 x x)))) z)) y x))
(fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x)
(fma.f64 (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (fma.f64 (/.f64 y x) (fma.f64 z z (neg.f64 (fma.f64 z z (*.f64 x x)))) z)) y x)
(fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z)
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (fma.f64 (/.f64 y x) (fma.f64 z z (neg.f64 (fma.f64 z z (*.f64 x x)))) z))
(-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (neg.f64 z) z (fma.f64 z z (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x))
(fma.f64 z z (*.f64 x x))
z
(*.f64 x x)
x
(neg.f64 x)
(-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))
(neg.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 z x) z)))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(/.f64 (*.f64 z z) x)
(*.f64 (/.f64 z x) z)
(*.f64 z z)
y
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))) (sqrt.f64 x) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) (cos.f64 y))) (*.f64 (sin.f64 y) z))
(sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y)))
(sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) (cos.f64 y)))
(*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))
(*.f64 (*.f64 (cos.f64 y) x) (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
x
(cos.f64 y)
y
(sqrt.f64 x)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
z
(sin.f64 y)

localize220.0ms (2.9%)

Memory
-9.2MiB live, 307.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.03515625
(sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y)))
accuracy0.0625
(*.f64 z (sin.f64 y))
accuracy0.09375
(*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))
accuracy0.11556625976844202
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))) (sqrt.f64 x) (*.f64 z (sin.f64 y)))
accuracy3.0816546597120564
(/.f64 (*.f64 z z) x)
accuracy10.047405484362553
(/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x))
accuracy12.166666738592365
(-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x)))
accuracy13.238645710413149
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x))
accuracy0
#s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))
accuracy1.1874185941505304
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
accuracy2.622227805286139
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))
accuracy12.949987868476065
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))))
accuracy0
(*.f64 y y)
accuracy1.427803353277334
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)
accuracy10.166317533616887
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))
accuracy13.265586101664667
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
accuracy0.015625
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
accuracy0.0625
(*.f64 z (sin.f64 y))
accuracy0.078125
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
accuracy0.1328125
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
Samples
69.0ms138×0invalid
52.0ms66×0valid
42.0ms45×1valid
5.0ms2valid
1.0ms1exit
Compiler

Compiled 730 to 124 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 132.0ms
ival-mult: 36.0ms (27.2% of total)
ival-sin: 32.0ms (24.2% of total)
ival-add: 15.0ms (11.3% of total)
ival-div: 12.0ms (9.1% of total)
ival-cos: 9.0ms (6.8% of total)
adjust: 6.0ms (4.5% of total)
ival-pow2: 6.0ms (4.5% of total)
ival-sub: 5.0ms (3.8% of total)
const: 5.0ms (3.8% of total)
ival-sqrt: 3.0ms (2.3% of total)
ival-neg: 2.0ms (1.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series60.0ms (0.8%)

Memory
-0.0MiB live, 116.8MiB allocated
Counts
25 → 146
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(cos.f64 y)
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))))
#s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))
(neg.f64 x)
(-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x))
(fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x)
(fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z)
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))) (sqrt.f64 x) (*.f64 z (sin.f64 y)))
(sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y)))
(*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y y)
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
(/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x))
(/.f64 (*.f64 z z) x)
Outputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(/ 1 (* z (sin y)))
(+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(+ (* x (- (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))
(* x (+ 1 (* -1/2 (pow y 2))))
(* y z)
(+ x (* y z))
(* -1 x)
(/ (+ (* -1 (pow z 2)) (pow z 2)) x)
(/ (+ (* -1 (pow z 2)) (+ (* -1/2 (pow x 2)) (pow z 2))) x)
(/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) x)
(/ (+ (* x (* y z)) (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2)))) x)
(/ (+ (* x (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z))) (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2)))) x)
(/ (* y (+ (* -1 (pow z 2)) (pow z 2))) x)
(/ (+ (* x z) (* y (+ (* -1 (pow z 2)) (pow z 2)))) x)
(/ (+ (* x (+ z (* -1/2 (* x y)))) (* y (+ (* -1 (pow z 2)) (pow z 2)))) x)
(* (sqrt x) (cos y))
(* x (pow (cos y) 2))
(* x (cos y))
(* -1 (/ (* y z) x))
(/ (+ (* -1 x) (* -1 (* y z))) x)
(* -1 (/ (pow z 2) x))
(/ (+ (* -1 (pow x 2)) (* -1 (pow z 2))) x)
(/ (pow z 2) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(/ 1 (* x (cos y)))
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))
x
(* x (+ 1 (/ (* y z) x)))
(* -1/2 x)
(* x (- (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2))) 1/2))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y z) x))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ (* y z) x) (/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) (pow x 2))))))
(* -1/2 (* x y))
(* x (+ (* -1/2 y) (/ z x)))
(* x (+ (* -1/2 y) (+ (/ z x) (/ (* y (+ (* -1 (pow z 2)) (pow z 2))) (pow x 2)))))
-1
(- (* -1 (/ (* y z) x)) 1)
(* x (- (* -1 (/ (pow z 2) (pow x 2))) 1))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (+ 1/2 (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2))))))
(* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* 1/2 (pow y 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) x)) (* y z)) x)) (* 1/2 (pow y 2))) 1)))
(* -1 (* x (+ (* -1 (/ z x)) (* 1/2 y))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1 (/ (* y (+ (* -1 (pow z 2)) (pow z 2))) x))) x)) (* 1/2 y))))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt x) (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* x (+ 1 (/ (pow z 2) (pow x 2)))))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(/ 1 x)
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 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)))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(+ x (* y (+ z (* y (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x))))))
z
(+ z (* y (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x))))
(sqrt x)
(+ (sqrt x) (* -1/2 (* (sqrt x) (pow y 2))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/2 (sqrt x)) (* 1/24 (* (sqrt x) (pow y 2))))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/2 (sqrt x)) (* (pow y 2) (+ (* -1/720 (* (sqrt x) (pow y 2))) (* 1/24 (sqrt x)))))))
(+ x (* -1 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x))))))
(+ 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 (* (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)))))))
(pow y 2)
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(cos y)
(* -1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2))))))
(* -1/2 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2))))
(* -1/2 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(* y (+ z (/ x y)))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y))))
(* (pow y 2) (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x)))
(* (pow y 2) (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (+ (/ z y) (/ (pow z 2) x))) (* -1/2 x)))
(* (pow y 2) (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (+ (/ x (pow y 2)) (+ (/ z y) (/ (pow z 2) x)))) (* -1/2 x)))
(* y (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x)))
(* y (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (+ (/ z y) (/ (pow z 2) x))) (* -1/2 x)))
(* y (- (* -1 (/ z x)) (/ 1 y)))
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x))) (* -1/2 x)))
(* -1 (* y (+ (* -1 (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x))) (* -1 (/ z y)))))
(* -1 (* y (+ (/ 1 y) (/ z x))))
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(- (* -1 x) (* -1/2 x))
(+ x (* (pow y 2) (- (* -1 x) (* -1/2 x))))
(+ x (+ (* y z) (* (pow y 2) (- (* -1 x) (* -1/2 x)))))
(* y (- (* -1 x) (* -1/2 x)))
(+ z (* y (- (* -1 x) (* -1/2 x))))
(+ (* -1 x) (* -1 (/ (pow z 2) x)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(* z (+ y (/ x z)))
(* z (+ y (+ (/ x z) (/ (* (pow y 2) (- (* -1 x) (* -1/2 x))) z))))
(* z (+ 1 (/ (* y (- (* -1 x) (* -1/2 x))) z)))
(* z (- (* -1 (/ y x)) (/ 1 z)))
(* (pow z 2) (- (* -1 (/ x (pow z 2))) (/ 1 x)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* (pow y 2) (- (* -1 x) (* -1/2 x)))) z)))))
(* -1 (* z (- (* -1 (/ (* y (- (* -1 x) (* -1/2 x))) z)) 1)))
(* -1 (* z (+ (/ 1 z) (/ y x))))
Calls

9 calls:

TimeVariablePointExpression
10.0ms
z
@-inf
((/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (/ 1 (+ (* x (cos y)) (* z (sin y)))) (+ (* x (cos y)) (* z (sin y))) (cos y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (+ (* -1/2 (* y y)) 1) x) (+ (* -1/2 (* y y)) 1) (* (neg x) (+ (* (neg y) (/ z x)) -1)) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (neg x) (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (sqrt (* (* x (cos y)) (cos y))) (* (* x (cos y)) (cos y)) (* x (cos y)) (* z (sin y)) (* y y) (+ (* (neg y) (/ z x)) -1) (/ (+ (* z z) (* x x)) (neg x)) (/ (* z z) x))
8.0ms
x
@inf
((/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (/ 1 (+ (* x (cos y)) (* z (sin y)))) (+ (* x (cos y)) (* z (sin y))) (cos y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (+ (* -1/2 (* y y)) 1) x) (+ (* -1/2 (* y y)) 1) (* (neg x) (+ (* (neg y) (/ z x)) -1)) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (neg x) (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (sqrt (* (* x (cos y)) (cos y))) (* (* x (cos y)) (cos y)) (* x (cos y)) (* z (sin y)) (* y y) (+ (* (neg y) (/ z x)) -1) (/ (+ (* z z) (* x x)) (neg x)) (/ (* z z) x))
7.0ms
x
@0
((/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (/ 1 (+ (* x (cos y)) (* z (sin y)))) (+ (* x (cos y)) (* z (sin y))) (cos y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (+ (* -1/2 (* y y)) 1) x) (+ (* -1/2 (* y y)) 1) (* (neg x) (+ (* (neg y) (/ z x)) -1)) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (neg x) (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (sqrt (* (* x (cos y)) (cos y))) (* (* x (cos y)) (cos y)) (* x (cos y)) (* z (sin y)) (* y y) (+ (* (neg y) (/ z x)) -1) (/ (+ (* z z) (* x x)) (neg x)) (/ (* z z) x))
7.0ms
y
@-inf
((/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (/ 1 (+ (* x (cos y)) (* z (sin y)))) (+ (* x (cos y)) (* z (sin y))) (cos y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (+ (* -1/2 (* y y)) 1) x) (+ (* -1/2 (* y y)) 1) (* (neg x) (+ (* (neg y) (/ z x)) -1)) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (neg x) (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (sqrt (* (* x (cos y)) (cos y))) (* (* x (cos y)) (cos y)) (* x (cos y)) (* z (sin y)) (* y y) (+ (* (neg y) (/ z x)) -1) (/ (+ (* z z) (* x x)) (neg x)) (/ (* z z) x))
6.0ms
x
@-inf
((/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (/ 1 (+ (* x (cos y)) (* z (sin y)))) (+ (* x (cos y)) (* z (sin y))) (cos y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (+ (* -1/2 (* y y)) 1) x) (+ (* -1/2 (* y y)) 1) (* (neg x) (+ (* (neg y) (/ z x)) -1)) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (neg x) (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (sqrt (* (* x (cos y)) (cos y))) (* (* x (cos y)) (cos y)) (* x (cos y)) (* z (sin y)) (* y y) (+ (* (neg y) (/ z x)) -1) (/ (+ (* z z) (* x x)) (neg x)) (/ (* z z) x))

simplify162.0ms (2.1%)

Memory
29.2MiB live, 258.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05892385
119492258
268412202
088532054
Stop Event
iter limit
node limit
Counts
146 → 144
Calls
Call 1
Inputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(/ 1 (* z (sin y)))
(+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(+ (* x (- (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))
(* x (+ 1 (* -1/2 (pow y 2))))
(* y z)
(+ x (* y z))
(* -1 x)
(/ (+ (* -1 (pow z 2)) (pow z 2)) x)
(/ (+ (* -1 (pow z 2)) (+ (* -1/2 (pow x 2)) (pow z 2))) x)
(/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) x)
(/ (+ (* x (* y z)) (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2)))) x)
(/ (+ (* x (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z))) (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2)))) x)
(/ (* y (+ (* -1 (pow z 2)) (pow z 2))) x)
(/ (+ (* x z) (* y (+ (* -1 (pow z 2)) (pow z 2)))) x)
(/ (+ (* x (+ z (* -1/2 (* x y)))) (* y (+ (* -1 (pow z 2)) (pow z 2)))) x)
(* (sqrt x) (cos y))
(* x (pow (cos y) 2))
(* x (cos y))
(* -1 (/ (* y z) x))
(/ (+ (* -1 x) (* -1 (* y z))) x)
(* -1 (/ (pow z 2) x))
(/ (+ (* -1 (pow x 2)) (* -1 (pow z 2))) x)
(/ (pow z 2) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(/ 1 (* x (cos y)))
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))
x
(* x (+ 1 (/ (* y z) x)))
(* -1/2 x)
(* x (- (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2))) 1/2))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y z) x))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ (* y z) x) (/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) (pow x 2))))))
(* -1/2 (* x y))
(* x (+ (* -1/2 y) (/ z x)))
(* x (+ (* -1/2 y) (+ (/ z x) (/ (* y (+ (* -1 (pow z 2)) (pow z 2))) (pow x 2)))))
-1
(- (* -1 (/ (* y z) x)) 1)
(* x (- (* -1 (/ (pow z 2) (pow x 2))) 1))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (+ 1/2 (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2))))))
(* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* 1/2 (pow y 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) x)) (* y z)) x)) (* 1/2 (pow y 2))) 1)))
(* -1 (* x (+ (* -1 (/ z x)) (* 1/2 y))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1 (/ (* y (+ (* -1 (pow z 2)) (pow z 2))) x))) x)) (* 1/2 y))))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt x) (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* x (+ 1 (/ (pow z 2) (pow x 2)))))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(/ 1 x)
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 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)))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(+ x (* y (+ z (* y (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x))))))
z
(+ z (* y (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x))))
(sqrt x)
(+ (sqrt x) (* -1/2 (* (sqrt x) (pow y 2))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/2 (sqrt x)) (* 1/24 (* (sqrt x) (pow y 2))))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/2 (sqrt x)) (* (pow y 2) (+ (* -1/720 (* (sqrt x) (pow y 2))) (* 1/24 (sqrt x)))))))
(+ x (* -1 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x))))))
(+ 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 (* (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)))))))
(pow y 2)
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(cos y)
(* -1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2))))))
(* -1/2 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2))))
(* -1/2 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(* y (+ z (/ x y)))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y))))
(* (pow y 2) (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x)))
(* (pow y 2) (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (+ (/ z y) (/ (pow z 2) x))) (* -1/2 x)))
(* (pow y 2) (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (+ (/ x (pow y 2)) (+ (/ z y) (/ (pow z 2) x)))) (* -1/2 x)))
(* y (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x)))
(* y (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (+ (/ z y) (/ (pow z 2) x))) (* -1/2 x)))
(* y (- (* -1 (/ z x)) (/ 1 y)))
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x))) (* -1/2 x)))
(* -1 (* y (+ (* -1 (- (+ (* -1 (/ (+ (pow x 2) (pow z 2)) x)) (/ (pow z 2) x)) (* -1/2 x))) (* -1 (/ z y)))))
(* -1 (* y (+ (/ 1 y) (/ z x))))
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(- (* -1 x) (* -1/2 x))
(+ x (* (pow y 2) (- (* -1 x) (* -1/2 x))))
(+ x (+ (* y z) (* (pow y 2) (- (* -1 x) (* -1/2 x)))))
(* y (- (* -1 x) (* -1/2 x)))
(+ z (* y (- (* -1 x) (* -1/2 x))))
(+ (* -1 x) (* -1 (/ (pow z 2) x)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(* z (+ y (/ x z)))
(* z (+ y (+ (/ x z) (/ (* (pow y 2) (- (* -1 x) (* -1/2 x))) z))))
(* z (+ 1 (/ (* y (- (* -1 x) (* -1/2 x))) z)))
(* z (- (* -1 (/ y x)) (/ 1 z)))
(* (pow z 2) (- (* -1 (/ x (pow z 2))) (/ 1 x)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* (pow y 2) (- (* -1 x) (* -1/2 x)))) z)))))
(* -1 (* z (- (* -1 (/ (* y (- (* -1 x) (* -1/2 x))) z)) 1)))
(* -1 (* z (+ (/ 1 z) (/ y x))))
Outputs
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))
(+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 x (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z)
(+ (* x (- (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(fma.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))) x (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) x (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))) x (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
(* 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)
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))
(* x (+ 1 (* -1/2 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(* y z)
(*.f64 z y)
(+ x (* y z))
(fma.f64 z y x)
(* -1 x)
(neg.f64 x)
(/ (+ (* -1 (pow z 2)) (pow z 2)) x)
#s(literal 0 binary64)
(/ (+ (* -1 (pow z 2)) (+ (* -1/2 (pow x 2)) (pow z 2))) x)
(/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)
(/ (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2))) x)
#s(literal 0 binary64)
(/ (+ (* x (* y z)) (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2)))) x)
(/.f64 (fma.f64 (*.f64 z y) x #s(literal 0 binary64)) x)
(/ (+ (* x (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z))) (* (pow y 2) (+ (* -1 (pow z 2)) (pow z 2)))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x) x #s(literal 0 binary64)) x)
(/ (* y (+ (* -1 (pow z 2)) (pow z 2))) x)
#s(literal 0 binary64)
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(*.f64 (+.f64 (/.f64 z y) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 z (/.f64 z x) (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x))))) y)
(* -1 (* y (+ (/ 1 y) (/ z x))))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 z y) x))
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x))) x)
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) z (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))
(- (* -1 x) (* -1/2 x))
(*.f64 #s(literal -1/2 binary64) x)
(+ x (* (pow y 2) (- (* -1 x) (* -1/2 x))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(+ x (+ (* y z) (* (pow y 2) (- (* -1 x) (* -1/2 x)))))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)
(* y (- (* -1 x) (* -1/2 x)))
(*.f64 (*.f64 y x) #s(literal -1/2 binary64))
(+ z (* y (- (* -1 x) (* -1/2 x))))
(fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z)
(+ (* -1 x) (* -1 (/ (pow z 2) x)))
(neg.f64 (fma.f64 z (/.f64 z x) x))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 x (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) z)
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 y y) (+.f64 (/.f64 x z) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))) z)
(* z (+ y (/ x z)))
(*.f64 (+.f64 (/.f64 x z) y) z)
(* z (+ y (+ (/ x z) (/ (* (pow y 2) (- (* -1 x) (* -1/2 x))) z))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y x) y) z) #s(literal -1/2 binary64) (+.f64 (/.f64 x z) y)) z)
(* z (+ 1 (/ (* y (- (* -1 x) (* -1/2 x))) z)))
(fma.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) z z)
(* z (- (* -1 (/ y x)) (/ 1 z)))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 z y) x))
(* (pow z 2) (- (* -1 (/ x (pow z 2))) (/ 1 x)))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 x z) z)) (*.f64 z z))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z))
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 z))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z)
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (*.f64 z y))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) (neg.f64 z))) (neg.f64 z))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(*.f64 (+.f64 (/.f64 x z) y) z)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* (pow y 2) (- (* -1 x) (* -1/2 x)))) z)))))
(*.f64 (+.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) z) y) z)
(* -1 (* z (- (* -1 (/ (* y (- (* -1 x) (* -1/2 x))) z)) 1)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x z)) y #s(literal -1 binary64)) (neg.f64 z))
(* -1 (* z (+ (/ 1 z) (/ y x))))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 z y) x))

rewrite341.0ms (4.4%)

Memory
-37.2MiB live, 298.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064338
0100311
1430309
23318307
010936295
Stop Event
iter limit
node limit
iter limit
Counts
25 → 895
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(cos.f64 y)
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))))
#s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))
(neg.f64 x)
(-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x))
(fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x)
(fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z)
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))) (sqrt.f64 x) (*.f64 z (sin.f64 y)))
(sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y)))
(*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y y)
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
(/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x))
(/.f64 (*.f64 z z) x)
Outputs
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 (cos.f64 y) x) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 y) x) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))
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(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (sin.f64 y))))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) #s(literal 2 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))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 z x) (neg.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 z x) (neg.f64 y) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (neg.f64 y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 z x) (neg.f64 y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 z x) (neg.f64 y) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64)) (*.f64 (/.f64 z x) (*.f64 (neg.f64 y) #s(literal -1 binary64))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 z x) (neg.f64 y) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 3 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 (/.f64 z x) #s(literal -1 binary64)) y #s(literal -1 binary64))
(fma.f64 (*.f64 (neg.f64 y) z) (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) y) #s(literal -1 binary64))
(fma.f64 (/.f64 z x) (neg.f64 y) #s(literal -1 binary64))
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
(fma.f64 z (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 y)) #s(literal -1 binary64))
(fma.f64 y (neg.f64 (/.f64 z x)) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 z x) (neg.f64 y) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 z x) (neg.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) y))
(+.f64 (*.f64 (/.f64 z x) (neg.f64 y)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (neg.f64 y)))
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 z x) (-.f64 z x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (pow.f64 (fma.f64 z z (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z (*.f64 x x)))
(*.f64 (neg.f64 (fma.f64 z z (*.f64 x x))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (fma.f64 z z (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z z (*.f64 x x)) x))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)))
(pow.f64 (/.f64 (/.f64 (neg.f64 x) (fma.f64 z z (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 x) (fma.f64 z z (*.f64 x x))) #s(literal -1 binary64))
(/.f64 (/.f64 (fma.f64 z z (*.f64 x x)) #s(literal -1 binary64)) x)
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) x)) (*.f64 (+.f64 z x) (-.f64 z x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) x)) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 z z (*.f64 x x)))) (neg.f64 x))
(/.f64 (*.f64 (fma.f64 z z (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (neg.f64 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 x) (*.f64 (+.f64 z x) (-.f64 z x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (neg.f64 x) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 z z (*.f64 x x))) x)
(/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 x) (fma.f64 z z (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 x) (fma.f64 z z (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (fma.f64 z z (*.f64 x x))))
(neg.f64 (/.f64 (fma.f64 z z (*.f64 x x)) x))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 z z (*.f64 x x)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 x) (fma.f64 z z (*.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z z))
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 z z) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 z x) z)
(*.f64 z (/.f64 z x))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 z x) z))
(pow.f64 (/.f64 (/.f64 (/.f64 x z) z) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x z) z) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64)) x)
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 x z))
(/.f64 (neg.f64 (*.f64 (neg.f64 z) z)) x)
(/.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (neg.f64 z) z) (neg.f64 x))
(/.f64 (*.f64 z z) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x z) z)))
(/.f64 z (/.f64 x z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 x z) z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) z))
(neg.f64 (/.f64 (*.f64 (neg.f64 z) z) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x z) z)) #s(literal -1 binary64)))

eval116.0ms (1.5%)

Memory
22.6MiB live, 258.3MiB allocated
Compiler

Compiled 40 448 to 3 723 computations (90.8% saved)

prune118.0ms (1.5%)

Memory
0.5MiB live, 157.3MiB allocated
Pruning

48 alts after pruning (41 fresh and 7 done)

PrunedKeptTotal
New78627813
Fresh101424
Picked415
Done167
Total80148849
Accuracy
100.0%
Counts
849 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.9%
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)))))
45.8%
(fma.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
50.1%
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
99.8%
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
75.1%
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
99.8%
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
33.1%
(/.f64 (pow.f64 (fma.f64 (-.f64 (*.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 -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
21.4%
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
34.5%
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
52.6%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
56.6%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))))
35.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (fma.f64 (/.f64 z (*.f64 (neg.f64 x) x)) y (/.f64 #s(literal 1 binary64) x))))
63.8%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))))
63.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
40.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
39.7%
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))))
52.7%
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (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 y y) #s(literal 1 binary64)) y))))
52.7%
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
21.6%
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (fma.f64 (/.f64 z x) z (fma.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) x))) y z) y x))
37.2%
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)) y z) y x))
52.8%
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
39.3%
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (/.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) x #s(literal 0 binary64)) x)) y x))
20.7%
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) y)) y x))
40.4%
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) #s(literal 0 binary64)) y x))
29.0%
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x) x #s(literal 0 binary64)) x)))
13.1%
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 z y) x #s(literal 0 binary64)) x)))
2.2%
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) (*.f64 y y))))
2.3%
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 z (/.f64 z x) (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)))) y) y)))
2.9%
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
87.0%
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
63.7%
#s(approx (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 (cos.f64 y) x))
52.9%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x))
37.9%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) y x))
88.6%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
37.3%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
38.0%
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
17.2%
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 z y))))
2.8%
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x)))
14.8%
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (/.f64 x y) y)) y) y))))
2.9%
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64)))))
17.0%
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (* (sin y) 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)))
53.9%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
45.1%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 z x) (*.f64 (neg.f64 y) (neg.f64 x)) x)))
22.3%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (/.f64 z x) (neg.f64 y)) (neg.f64 x)))))
24.5%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))))
40.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
11.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (neg y) (/ z x)) -1) (*.f64 (neg.f64 y) (/.f64 z x))))))
17.4%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
Compiler

Compiled 4 095 to 1 435 computations (65% saved)

regimes132.0ms (1.7%)

Memory
-20.0MiB live, 184.1MiB allocated
Counts
77 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) #s(literal 0 binary64)) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64)))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 z y) x #s(literal 0 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 z y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (neg y) (/ z x)) -1) (*.f64 (neg.f64 y) (/.f64 z x))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 z x) (*.f64 (neg.f64 y) (neg.f64 x)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (* (sin y) 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)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x) x #s(literal 0 binary64)) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (/.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) x #s(literal 0 binary64)) x)) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (/.f64 x y) y)) y) y))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z)) y z) y x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (fma.f64 (/.f64 z (*.f64 (neg.f64 x) x)) y (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.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))) #s(approx (+ (* z y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (/.f64 z x) (neg.f64 y)) (neg.f64 x)))))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (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 y y) #s(literal 1 binary64)) y))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x (neg.f64 z)))) (neg.f64 z))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 z (/.f64 z x) (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)))) y) y)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (fma.f64 (/.f64 z x) z (fma.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) x))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) (*.f64 y y))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) y)) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64)) z)))
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
#s(approx (+ (* (pow (cos y) 2) (/ (* x x) (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))))
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))) (sqrt.f64 x) (*.f64 z (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(fma.f64 (*.f64 (*.f64 (cos.f64 y) x) x) (/.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (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 (pow.f64 (fma.f64 (-.f64 (*.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 -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.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 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))))
Outputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
Calls

4 calls:

41.0ms
x
41.0ms
z
24.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
20.0ms
y
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes70.0ms (0.9%)

Memory
20.2MiB live, 135.7MiB allocated
Counts
52 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) #s(literal 0 binary64)) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64)))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 z y) x #s(literal 0 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 z y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (neg y) (/ z x)) -1) (*.f64 (neg.f64 y) (/.f64 z x))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 z x) (*.f64 (neg.f64 y) (neg.f64 x)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (* (sin y) 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)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x) x #s(literal 0 binary64)) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (/.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) x #s(literal 0 binary64)) x)) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (/.f64 x y) y)) y) y))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z)) y z) y x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (fma.f64 (/.f64 z (*.f64 (neg.f64 x) x)) y (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.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))) #s(approx (+ (* z y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (/.f64 z x) (neg.f64 y)) (neg.f64 x)))))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (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 y y) #s(literal 1 binary64)) y))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x (neg.f64 z)))) (neg.f64 z))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 z (/.f64 z x) (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)))) y) y)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (fma.f64 (/.f64 z x) z (fma.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) x))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) (*.f64 y y))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) y)) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64)) z)))
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
Outputs
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
Calls

4 calls:

20.0ms
x
17.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
16.0ms
y
14.0ms
z
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes75.0ms (1%)

Memory
-3.1MiB live, 189.1MiB allocated
Counts
51 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) #s(literal 0 binary64)) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64)))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 z y) x #s(literal 0 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 z y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (neg y) (/ z x)) -1) (*.f64 (neg.f64 y) (/.f64 z x))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 z x) (*.f64 (neg.f64 y) (neg.f64 x)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (* (sin y) 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)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x) x #s(literal 0 binary64)) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (/.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) x #s(literal 0 binary64)) x)) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (/.f64 x y) y)) y) y))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z)) y z) y x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (fma.f64 (/.f64 z (*.f64 (neg.f64 x) x)) y (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.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))) #s(approx (+ (* z y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (/.f64 z x) (neg.f64 y)) (neg.f64 x)))))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (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 y y) #s(literal 1 binary64)) y))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x (neg.f64 z)))) (neg.f64 z))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 z (/.f64 z x) (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)))) y) y)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (fma.f64 (/.f64 z x) z (fma.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) x))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) (*.f64 y y))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) y)) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64)) z)))
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
Outputs
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
Calls

4 calls:

20.0ms
x
17.0ms
y
17.0ms
z
16.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
86.4%3x
81.8%3y
88.5%3z
75.1%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes183.0ms (2.4%)

Memory
2.7MiB live, 120.9MiB allocated
Counts
47 → 4
Calls
Call 1
Inputs
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) #s(literal 0 binary64)) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64)))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 z y) x #s(literal 0 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 z y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (neg y) (/ z x)) -1) (*.f64 (neg.f64 y) (/.f64 z x))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 z x) (*.f64 (neg.f64 y) (neg.f64 x)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (* (sin y) 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)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x) x #s(literal 0 binary64)) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (/.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) x #s(literal 0 binary64)) x)) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (/.f64 x y) y)) y) y))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z)) y z) y x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (fma.f64 (/.f64 z (*.f64 (neg.f64 x) x)) y (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.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))) #s(approx (+ (* z y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (/.f64 z x) (neg.f64 y)) (neg.f64 x)))))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (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 y y) #s(literal 1 binary64)) y))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x (neg.f64 z)))) (neg.f64 z))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 z (/.f64 z x) (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)))) y) y)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (fma.f64 (/.f64 z x) z (fma.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) x))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) (*.f64 y y))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) y)) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64)) z)))
Outputs
#s(approx (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 (cos.f64 y) x))
Calls

3 calls:

153.0ms
y
14.0ms
x
14.0ms
z
Results
AccuracySegmentsBranch
81.3%4y
77.2%3x
77.3%3z
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes61.0ms (0.8%)

Memory
26.3MiB live, 99.2MiB allocated
Counts
45 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) #s(literal 0 binary64)) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64)))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 z y) x #s(literal 0 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 z y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (neg y) (/ z x)) -1) (*.f64 (neg.f64 y) (/.f64 z x))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 z x) (*.f64 (neg.f64 y) (neg.f64 x)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (* (sin y) 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)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x) x #s(literal 0 binary64)) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (/.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) x #s(literal 0 binary64)) x)) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (/.f64 x y) y)) y) y))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z)) y z) y x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (fma.f64 (/.f64 z (*.f64 (neg.f64 x) x)) y (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.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))) #s(approx (+ (* z y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (/.f64 z x) (neg.f64 y)) (neg.f64 x)))))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (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 y y) #s(literal 1 binary64)) y))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x (neg.f64 z)))) (neg.f64 z))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 z (/.f64 z x) (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)))) y) y)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (fma.f64 (/.f64 z x) z (fma.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) x))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) (*.f64 y y))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) y)) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
Calls

4 calls:

19.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
15.0ms
x
12.0ms
y
12.0ms
z
Results
AccuracySegmentsBranch
61.4%3x
60.3%3z
53.9%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
73.0%3y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes67.0ms (0.9%)

Memory
-16.7MiB live, 118.8MiB allocated
Counts
43 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) #s(literal 0 binary64)) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64)))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (*.f64 z y) x #s(literal 0 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 z y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (neg y) (/ z x)) -1) (*.f64 (neg.f64 y) (/.f64 z x))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 z x) (*.f64 (neg.f64 y) (neg.f64 x)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (* (sin y) 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)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x) x #s(literal 0 binary64)) x)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (/.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) x #s(literal 0 binary64)) x)) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (/.f64 x y) y)) y) y))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z)) y z) y x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (fma.f64 (/.f64 z (*.f64 (neg.f64 x) x)) y (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.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))) #s(approx (+ (* z y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (/.f64 z x) (neg.f64 y)) (neg.f64 x)))))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (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 y y) #s(literal 1 binary64)) y))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x (neg.f64 z)))) (neg.f64 z))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 z (/.f64 z x) (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)))) y) y)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (fma.f64 (/.f64 z x) z (fma.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) x))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 z z) x))) y z) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) (*.f64 y y))))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 #s(approx (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (fma.f64 z (/.f64 z x) (/.f64 z y)) (/.f64 (fma.f64 z z (*.f64 x x)) x))) y)) y x))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
Calls

4 calls:

20.0ms
x
18.0ms
z
15.0ms
y
11.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
53.9%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
53.9%1z
53.9%1x
53.9%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes10.0ms (0.1%)

Memory
-22.8MiB live, 15.4MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
Calls

4 calls:

4.0ms
x
2.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
17.4%1x
17.4%1y
17.4%1z
17.4%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes6.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
Outputs
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
Calls

4 calls:

1.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
2.9%1x
2.9%1y
2.9%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.9%1z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch73.0ms (0.9%)

Memory
7.7MiB live, 44.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
51.0ms
7.668799981158115e-123
1.8187133444353087e-99
19.0ms
-1.3937683747453794e-140
-1.7202926731306144e-149
Samples
57.0ms320×0valid
Compiler

Compiled 632 to 534 computations (15.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-sin: 35.0ms (72.2% of total)
ival-cos: 8.0ms (16.5% of total)
ival-mult: 4.0ms (8.3% of total)
ival-add: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch89.0ms (1.2%)

Memory
-12.4MiB live, 67.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
47.0ms
6.1963904252611615e-22
8.127534341068225e-20
27.0ms
-2069971.5725616456
-0.8238265327399078
12.0ms
-2.005765916370994e+171
-7.798426083789536e+170
Samples
72.0ms336×0valid
Compiler

Compiled 764 to 598 computations (21.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-cos: 50.0ms (79% of total)
ival-sin: 7.0ms (11.1% of total)
ival-mult: 5.0ms (7.9% of total)
ival-add: 1.0ms (1.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch25.0ms (0.3%)

Memory
22.5MiB live, 22.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
8.594245419780214e+24
9.439194411321643e+30
1.0ms
-2069971.5725616456
-0.8238265327399078
Samples
16.0ms144×0valid
Compiler

Compiled 606 to 482 computations (20.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-cos: 5.0ms (40.1% of total)
ival-sin: 5.0ms (40.1% of total)
ival-mult: 2.0ms (16.1% of total)
ival-add: 1.0ms (8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify38.0ms (0.5%)

Memory
7.4MiB live, 44.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080294
187294
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(if (<=.f64 z #s(literal -8567267479843001/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432 binary64)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 7486381177314951/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) #s(approx (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))
(if (<=.f64 y #s(literal -1649999999999999956232880135796068888337089723363546877171201532195623783456708056725992160391687324741146218653156770423545287001303439020961285242155680707729774155399168 binary64)) #s(approx (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal -7566047373982433/9007199254740992 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 6646139978924579/83076749736557242056487941267521536 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) #s(approx (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 (cos.f64 y) x)))))
(if (<=.f64 y #s(literal -7566047373982433/9007199254740992 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 8599999999999999748341760 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))
Outputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -8567267479843001/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432 binary64)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 7486381177314951/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) #s(approx (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))
(if (<=.f64 z #s(literal -8567267479843001/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432 binary64)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 7486381177314951/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) #s(approx (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 x (cos.f64 y))) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))
(if (<=.f64 y #s(literal -1649999999999999956232880135796068888337089723363546877171201532195623783456708056725992160391687324741146218653156770423545287001303439020961285242155680707729774155399168 binary64)) #s(approx (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal -7566047373982433/9007199254740992 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 6646139978924579/83076749736557242056487941267521536 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) #s(approx (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 (cos.f64 y) x)))))
(if (<=.f64 y #s(literal -1649999999999999956232880135796068888337089723363546877171201532195623783456708056725992160391687324741146218653156770423545287001303439020961285242155680707729774155399168 binary64)) #s(approx (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal -7566047373982433/9007199254740992 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal 6646139978924579/83076749736557242056487941267521536 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) #s(approx (+ (* (sqrt (* (* x (cos y)) (cos y))) (sqrt x)) (* z (sin y))) (*.f64 x (cos.f64 y))))))
(if (<=.f64 y #s(literal -7566047373982433/9007199254740992 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 8599999999999999748341760 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))))
(if (<=.f64 y #s(literal -7566047373982433/9007199254740992 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal 8599999999999999748341760 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (- (/ (+ (* z z) (* x x)) (neg x)) (- (* -1/2 x) (/ (* z z) x))) y) z) y) x) #s(literal 0 binary64)))

soundness1.1s (14%)

Memory
-14.3MiB live, 706.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05892385
119492258
268412202
088532054
07083613
124543401
085533229
093240
1295236
2891230
32075224
43736224
56393224
08811195
033145
052136
1181136
21106136
08264134
0819
01319
12919
218519
3183619
0838618
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 592 to 238 computations (59.8% saved)

preprocess48.0ms (0.6%)

Memory
-2.9MiB live, 110.0MiB allocated
Compiler

Compiled 606 to 178 computations (70.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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