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

Time bar (total: 7.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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)

sample1.5s (18.7%)

Memory
15.2MiB live, 1 344.8MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 885.0ms
ival-sin: 279.0ms (31.5% of total)
ival-mult: 222.0ms (25.1% of total)
ival-cos: 219.0ms (24.8% of total)
ival-add: 156.0ms (17.6% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain262.0ms (3.3%)

Memory
25.0MiB live, 185.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
00-0-(sin.f64 y)
00-0-(*.f64 z (cos.f64 y))
00-0-y
00-0-z
00-0-(*.f64 x (sin.f64 y))
00-0-(cos.f64 y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
191.0ms512×0valid
Compiler

Compiled 85 to 36 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 158.0ms
ival-mult: 135.0ms (85.2% of total)
ival-sin: 11.0ms (6.9% of total)
ival-cos: 10.0ms (6.3% of total)
ival-add: 2.0ms (1.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess42.0ms (0.5%)

Memory
-16.2MiB live, 21.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03587
17981
214381
331181
447881
573381
690981
799481
8108881
9115881
10118581
11119181
12119381
089
0139
1169
0168
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB 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 (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0%)

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

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z (cos.f64 y))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 x (sin.f64 y))
cost-diff128
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
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 (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
x
(sin.f64 y)
y
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
z
(cos.f64 y)

localize35.0ms (0.4%)

Memory
-12.1MiB live, 33.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 y)
accuracy0.0078125
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
accuracy0.09375
(*.f64 x (sin.f64 y))
accuracy0.10546875
(*.f64 z (cos.f64 y))
Samples
26.0ms256×0valid
Compiler

Compiled 50 to 18 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sin: 6.0ms (34.1% of total)
ival-cos: 5.0ms (28.4% of total)
ival-mult: 5.0ms (28.4% of total)
ival-add: 1.0ms (5.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
14.4MiB live, 14.4MiB allocated
Counts
5 → 28
Calls
Call 1
Inputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 x (sin.f64 y))
(sin.f64 y)
(*.f64 z (cos.f64 y))
(cos.f64 y)
Outputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
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 (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
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)))
(sin y)
(cos y)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
Calls

9 calls:

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

simplify155.0ms (2%)

Memory
11.5MiB live, 167.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109288
1344284
2989274
32660268
44769268
57096268
08135233
Stop Event
iter limit
node limit
Counts
28 → 26
Calls
Call 1
Inputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
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 (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
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)))
(sin y)
(cos y)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
Outputs
(* z (cos y))
(*.f64 (cos.f64 y) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
z
(+ z (* x y))
(fma.f64 y x z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
(* x y)
(*.f64 y x)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 (*.f64 x (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)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x (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 x))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (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 (* -1/2 (* (pow y 2) z)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(*.f64 z (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(*.f64 z (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)))
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))
(sin y)
(sin.f64 y)
(cos y)
(cos.f64 y)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))

rewrite218.0ms (2.8%)

Memory
-17.7MiB live, 211.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
01321
12921
218521
3185421
0823220
Stop Event
iter limit
node limit
iter limit
Counts
5 → 176
Calls
Call 1
Inputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 x (sin.f64 y))
(sin.f64 y)
(*.f64 z (cos.f64 y))
(cos.f64 y)
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 9 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (neg.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 9 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 9 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64)))
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(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))
(-.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 z) (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (sin.f64 y))))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x)))
(sin.f64 y)
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (cos.f64 y))))
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 z) (cos.f64 y)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(cos.f64 y)

eval21.0ms (0.3%)

Memory
22.8MiB live, 22.8MiB allocated
Compiler

Compiled 7 634 to 570 computations (92.5% saved)

prune26.0ms (0.3%)

Memory
-20.7MiB live, 18.6MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New18414198
Fresh000
Picked101
Done000
Total18514199
Accuracy
99.9%
Counts
199 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.0%
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
64.2%
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
99.8%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
64.2%
(fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
30.0%
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))
54.8%
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
99.6%
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
78.7%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
54.7%
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
39.2%
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
53.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
53.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
54.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
64.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Compiler

Compiled 662 to 396 computations (40.2% saved)

simplify125.0ms (1.6%)

Memory
9.5MiB live, 159.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
029259
050215
182215
2152214
3420214
41167214
53018214
64565214
76478214
08087214
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(sin.f64 y)
y
x
(*.f64 (cos.f64 y) z)
(cos.f64 y)
z
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(fma.f64 y x z)
y
x
z
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
#s(literal 2 binary64)
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))
(*.f64 (cos.f64 y) z)
(cos.f64 y)
z
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))
(neg.f64 z)
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(sin.f64 y)
y
#s(literal 2 binary64)
x
(/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))
(neg.f64 z)
z
(cos.f64 y)
(*.f64 (sin.f64 y) x)
(neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))
(/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))
(*.f64 (cos.f64 y) z)
Outputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(sin.f64 y)
y
x
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(cos.f64 y)
z
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z))
(fma.f64 y x z)
(fma.f64 x y z)
y
x
z
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(cos.f64 y)
y
z
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))
(-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(sin.f64 y)
y
x
#s(literal 2 binary64)
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(cos.f64 y)
z
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))
(neg.f64 z)
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(sin.f64 y)
y
#s(literal 2 binary64)
x
(/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))
(neg.f64 z)
z
(cos.f64 y)
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))
(/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))))
(/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))

localize314.0ms (4%)

Memory
-8.2MiB live, 239.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.21875
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
accuracy0.5844230670047369
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
accuracy3.7024811008518537
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)
accuracy22.504965889425215
(/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
accuracy0.13671875
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))
accuracy0.234375
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
accuracy3.195295986641647
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))
accuracy28.744676766806638
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
accuracy0.0
(cos.f64 y)
accuracy0.10546875
(*.f64 (cos.f64 y) z)
accuracy22.756497243184672
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
accuracy0.0
(fma.f64 y x z)
accuracy28.843658945673972
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
accuracy0.0
(sin.f64 y)
accuracy0.0
(cos.f64 y)
accuracy0.04296875
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
accuracy0.10546875
(*.f64 (cos.f64 y) z)
Samples
80.0ms256×0valid
Compiler

Compiled 521 to 59 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 15.0ms (28.5% of total)
ival-add: 9.0ms (17.1% of total)
ival-sin: 9.0ms (17.1% of total)
ival-pow2: 7.0ms (13.3% of total)
ival-div: 5.0ms (9.5% of total)
ival-cos: 5.0ms (9.5% of total)
ival-neg: 2.0ms (3.8% of total)
ival-sub: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series107.0ms (1.4%)

Memory
-25.0MiB live, 128.9MiB allocated
Counts
17 → 123
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(cos.f64 y)
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(fma.f64 y x z)
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
(*.f64 (sin.f64 y) x)
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))
(/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
Outputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
z
(+ z (* x y))
(* -1 (* (pow z 2) (pow (cos y) 2)))
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))
(* (pow x 2) (pow (sin y) 2))
(* x (sin y))
(- (* x (sin y)) (* -1 (* z (cos y))))
(- (* x (+ (sin y) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))) (* -1 (* z (cos y))))
(- (* x (+ (sin y) (/ (* x (pow (sin y) 2)) (* z (cos y))))) (* -1 (* z (cos y))))
(- (* x (+ (sin y) (* x (+ (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 2))) (/ (pow (sin y) 2) (* z (cos y))))))) (* -1 (* z (cos y))))
(* x (pow (sin y) 2))
(* -1 (* z (cos y)))
(+ (* -1 (* x (sin y))) (* -1 (* z (cos y))))
(+ (* -1 (* z (cos y))) (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* z (cos y)))) (sin y))))
(+ (* -1 (* z (cos y))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* z (cos y))))) (sin y))))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x y)
(* x (+ y (/ z x)))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2)))
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x))))
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))))
(/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3))))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* (pow x 3) (pow (sin y) 4)))))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)
(/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))
(/ (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) x)
(/ (- (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x)
(/ (- (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 5) (pow (cos y) 5)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))))) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x)))))
(* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3)) (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
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)))
(+ z (* y (- (* y (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x))))
(+ z (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) z)) (+ (* -1/2 x) (* 1/6 x))))) (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z))) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x))))
(* -1 (pow z 2))
(- (* (pow y 2) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow x 2)) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow x 2)) (* (pow y 2) (- (* 2/45 (pow x 2)) (* -2/45 (pow z 2))))) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(- (* x y) (* -1 z))
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (/ (pow x 2) z))) z)))) (* -1 z))
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (+ (* y (- (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x))) (/ (pow x 3) (pow z 2)))) (/ (pow x 2) z)))) z)))) (* -1 z))
(- (* y (+ x (* y (- (+ (* 1/2 z) (/ (pow x 2) z)) z)))) (* -1 z))
(- (* y (+ x (* y (- (+ (* 1/2 z) (+ (* y (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x)))) (/ (pow x 2) z))) z)))) (* -1 z))
(* x (pow y 2))
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(pow z 2)
(+ (* -1 (* (pow y 2) (pow z 2))) (pow z 2))
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) (pow z 2))
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) (pow z 2))
(* -1 z)
(+ (* -1 z) (* -1 (* x y)))
(+ (* -1 z) (* y (- (* y (- z (+ (* 1/2 z) (/ (pow x 2) z)))) x)))
(+ (* -1 z) (* y (- (* y (- (+ z (* -1 (* y (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x)))))) (+ (* 1/2 z) (/ (pow x 2) z)))) x)))
(sin y)
(cos y)
(* y (+ x (/ z y)))
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y))))
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))))
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))))
(pow (sin y) 2)
(* (pow z 2) (pow (cos y) 2))
(/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2)))
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y)))))
(* (pow z 2) (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* x (sin y)))))
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y)))))
(* (pow z 2) (- (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))))) (/ (pow (cos y) 2) (* x (sin y)))))
(* (pow z 2) (+ (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2))) (/ (pow (cos y) 2) (* x (sin y)))))
(* (pow z 2) (+ (* z (- (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y)))))
(* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y)))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ 1 (/ (* x y) z)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2)))
(* z (- (/ (* x (sin y)) z) (* -1 (cos y))))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (* -1 (cos y))))
(* z (- (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (* -1 (cos y))))
(* z (- (+ (/ (* x (sin y)) z) (+ (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))) (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2))))) (* -1 (cos y))))
(* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))
(* z (- (+ (* -1 (cos y)) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (/ (* x (sin y)) z)))
(* z (- (+ (* -1 (cos y)) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2))))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (cos y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z)) (* x (sin y))) z)) (cos y))))
(* -1 (* z (- (* -1 (/ (+ (* x (sin y)) (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) z)) (cos y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z)) (* x (sin y))) z)) (cos y))))
(* -1 (* z (+ (cos y) (/ (* x (sin y)) z))))
(* -1 (* z (+ (cos y) (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) (* x (sin y))) z)))))
(* -1 (* z (+ (cos y) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y)))) z)) (* x (sin y))) z)))))
Calls

9 calls:

TimeVariablePointExpression
42.0ms
z
@-inf
((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (* (sin y) x) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* (pow (sin y) 2) x) (pow (sin y) 2) (pow (* (cos y) z) 2) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))
27.0ms
y
@0
((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (* (sin y) x) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* (pow (sin y) 2) x) (pow (sin y) 2) (pow (* (cos y) z) 2) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))
7.0ms
z
@0
((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (* (sin y) x) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* (pow (sin y) 2) x) (pow (sin y) 2) (pow (* (cos y) z) 2) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))
6.0ms
x
@0
((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (* (sin y) x) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* (pow (sin y) 2) x) (pow (sin y) 2) (pow (* (cos y) z) 2) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))
5.0ms
y
@inf
((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (* (sin y) x) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* (pow (sin y) 2) x) (pow (sin y) 2) (pow (* (cos y) z) 2) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))

simplify244.0ms (3.1%)

Memory
0.8MiB live, 190.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05782726
120122618
269712569
083452407
Stop Event
iter limit
node limit
Counts
123 → 121
Calls
Call 1
Inputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
z
(+ z (* x y))
(* -1 (* (pow z 2) (pow (cos y) 2)))
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))
(* (pow x 2) (pow (sin y) 2))
(* x (sin y))
(- (* x (sin y)) (* -1 (* z (cos y))))
(- (* x (+ (sin y) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))) (* -1 (* z (cos y))))
(- (* x (+ (sin y) (/ (* x (pow (sin y) 2)) (* z (cos y))))) (* -1 (* z (cos y))))
(- (* x (+ (sin y) (* x (+ (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 2))) (/ (pow (sin y) 2) (* z (cos y))))))) (* -1 (* z (cos y))))
(* x (pow (sin y) 2))
(* -1 (* z (cos y)))
(+ (* -1 (* x (sin y))) (* -1 (* z (cos y))))
(+ (* -1 (* z (cos y))) (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* z (cos y)))) (sin y))))
(+ (* -1 (* z (cos y))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* z (cos y))))) (sin y))))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x y)
(* x (+ y (/ z x)))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2)))
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x))))
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))))
(/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3))))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* (pow x 3) (pow (sin y) 4)))))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)
(/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))
(/ (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) x)
(/ (- (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x)
(/ (- (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 5) (pow (cos y) 5)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))))) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x)))))
(* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3)) (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
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)))
(+ z (* y (- (* y (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x))))
(+ z (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) z)) (+ (* -1/2 x) (* 1/6 x))))) (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z))) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x))))
(* -1 (pow z 2))
(- (* (pow y 2) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow x 2)) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow x 2)) (* (pow y 2) (- (* 2/45 (pow x 2)) (* -2/45 (pow z 2))))) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(- (* x y) (* -1 z))
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (/ (pow x 2) z))) z)))) (* -1 z))
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (+ (* y (- (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x))) (/ (pow x 3) (pow z 2)))) (/ (pow x 2) z)))) z)))) (* -1 z))
(- (* y (+ x (* y (- (+ (* 1/2 z) (/ (pow x 2) z)) z)))) (* -1 z))
(- (* y (+ x (* y (- (+ (* 1/2 z) (+ (* y (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x)))) (/ (pow x 2) z))) z)))) (* -1 z))
(* x (pow y 2))
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(pow z 2)
(+ (* -1 (* (pow y 2) (pow z 2))) (pow z 2))
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) (pow z 2))
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) (pow z 2))
(* -1 z)
(+ (* -1 z) (* -1 (* x y)))
(+ (* -1 z) (* y (- (* y (- z (+ (* 1/2 z) (/ (pow x 2) z)))) x)))
(+ (* -1 z) (* y (- (* y (- (+ z (* -1 (* y (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x)))))) (+ (* 1/2 z) (/ (pow x 2) z)))) x)))
(sin y)
(cos y)
(* y (+ x (/ z y)))
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y))))
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))))
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))))
(pow (sin y) 2)
(* (pow z 2) (pow (cos y) 2))
(/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2)))
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y)))))
(* (pow z 2) (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* x (sin y)))))
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y)))))
(* (pow z 2) (- (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))))) (/ (pow (cos y) 2) (* x (sin y)))))
(* (pow z 2) (+ (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2))) (/ (pow (cos y) 2) (* x (sin y)))))
(* (pow z 2) (+ (* z (- (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y)))))
(* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y)))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ 1 (/ (* x y) z)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2)))
(* z (- (/ (* x (sin y)) z) (* -1 (cos y))))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (* -1 (cos y))))
(* z (- (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (* -1 (cos y))))
(* z (- (+ (/ (* x (sin y)) z) (+ (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))) (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2))))) (* -1 (cos y))))
(* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))
(* z (- (+ (* -1 (cos y)) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (/ (* x (sin y)) z)))
(* z (- (+ (* -1 (cos y)) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2))))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (cos y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z)) (* x (sin y))) z)) (cos y))))
(* -1 (* z (- (* -1 (/ (+ (* x (sin y)) (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) z)) (cos y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z)) (* x (sin y))) z)) (cos y))))
(* -1 (* z (+ (cos y) (/ (* x (sin y)) z))))
(* -1 (* z (+ (cos y) (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) (* x (sin y))) z)))))
(* -1 (* z (+ (cos y) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y)))) z)) (* x (sin y))) z)))))
Outputs
(* z (cos y))
(*.f64 (cos.f64 y) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
z
(+ z (* x y))
(fma.f64 x y z)
(* -1 (* (pow z 2) (pow (cos y) 2)))
(*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z))
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))
(fma.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))
(* (pow x 2) (pow (sin y) 2))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(- (* x (sin y)) (* -1 (* z (cos y))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(- (* x (+ (sin y) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))) (* -1 (* z (cos y))))
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(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/3 binary64) x) y) y)
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 2/45 binary64) (*.f64 #s(literal -1/3 binary64) x)) (*.f64 y y) x) y) y)
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/315 binary64) (*.f64 #s(literal 2/45 binary64) x)) y) y (*.f64 #s(literal -1/3 binary64) x)) (*.f64 y y) x) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 y y))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2/45 binary64) (*.f64 y y) #s(literal -1/3 binary64)) (*.f64 y y))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 y y) #s(literal 2/45 binary64)) (*.f64 y y) #s(literal -1/3 binary64)) (*.f64 y y))
(pow z 2)
(*.f64 z z)
(+ (* -1 (* (pow y 2) (pow z 2))) (pow z 2))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (*.f64 z z))
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) (pow z 2))
(fma.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal -1 binary64))) (*.f64 y y) (*.f64 z z))
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) (pow z 2))
(fma.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (*.f64 z z) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 z z) (fma.f64 #s(literal -2/45 binary64) (*.f64 y y) #s(literal 1/3 binary64)))))
(* -1 z)
(neg.f64 z)
(+ (* -1 z) (* -1 (* x y)))
(neg.f64 (fma.f64 x y z))
(+ (* -1 z) (* y (- (* y (- z (+ (* 1/2 z) (/ (pow x 2) z)))) x)))
(fma.f64 (fma.f64 (-.f64 z (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z))) y (neg.f64 x)) y (neg.f64 z))
(+ (* -1 z) (* y (- (* y (- (+ z (* -1 (* y (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x)))))) (+ (* 1/2 z) (/ (pow x 2) z)))) x)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x (*.f64 (neg.f64 x) (/.f64 (-.f64 z (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z))) z))) (neg.f64 y) (-.f64 z (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)))) y (neg.f64 x)) y (neg.f64 z))
(sin y)
(sin.f64 y)
(cos y)
(cos.f64 y)
(* y (+ x (/ z y)))
(*.f64 (+.f64 (/.f64 z y) x) y)
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y))))
(/.f64 (fma.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))))
(/.f64 (fma.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))))
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))
(pow (sin y) 2)
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(* (pow z 2) (pow (cos y) 2))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)
(/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))
(/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(*.f64 (+.f64 (/.f64 z y) x) y)
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2)))
(fma.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* (pow z 2) (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* x (sin y)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) x) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (sin.f64 y)))) (*.f64 z z))
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y)))))
(*.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)))) z (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (neg.f64 (sin.f64 y)))) (*.f64 z z))
(* (pow z 2) (- (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))))) (/ (pow (cos y) 2) (* x (sin y)))))
(*.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) z (/.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x))) z (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (neg.f64 (sin.f64 y)))) (*.f64 z z))
(* (pow z 2) (+ (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2))) (/ (pow (cos y) 2) (* x (sin y)))))
(*.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) x) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (sin.f64 y))) (*.f64 z z))
(* (pow z 2) (+ (* z (- (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (sin.f64 y))) (*.f64 z z))
(* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) z (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (sin.f64 y))) (*.f64 z z))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 (/.f64 (*.f64 x y) z) z z)
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2)))
(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z))
(* z (- (/ (* x (sin y)) z) (* -1 (cos y))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (* -1 (cos y))))
(*.f64 (+.f64 (fma.f64 (neg.f64 (*.f64 x (/.f64 x (*.f64 z z)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (fma.f64 (/.f64 x (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (sin.f64 y)) x) z)) (cos.f64 y)) z)
(* z (- (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (* -1 (cos y))))
(*.f64 (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 x (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (sin.f64 y)) x) z) (cos.f64 y)) z)
(* z (- (+ (/ (* x (sin y)) z) (+ (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))) (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2))))) (* -1 (cos y))))
(*.f64 (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 x (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (sin.f64 y)) x) z) (fma.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 y))) z)
(* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))) z)
(* z (- (+ (* -1 (cos y)) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (/ (* x (sin y)) z)))
(*.f64 (-.f64 (neg.f64 (cos.f64 y)) (/.f64 (*.f64 (fma.f64 (/.f64 x (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (sin.f64 y)) x) z)) z)
(* z (- (+ (* -1 (cos y)) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2))))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))))
(*.f64 (-.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 y))) (/.f64 (*.f64 (fma.f64 (/.f64 x (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (sin.f64 y)) x) z)) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 (/.f64 (*.f64 (neg.f64 x) y) z) (neg.f64 z) z)
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (cos y))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z)) (* x (sin y))) z)) (cos y))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* -1 (* z (- (* -1 (/ (+ (* x (sin y)) (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) z)) (cos y))))
(*.f64 (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 x (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (sin.f64 y)) x) z) (cos.f64 y)) z)
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z)) (* x (sin y))) z)) (cos y))))
(*.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 y) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (cos.f64 y))) z)) z) (cos.f64 y)) z)
(* -1 (* z (+ (cos y) (/ (* x (sin y)) z))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))) z)
(* -1 (* z (+ (cos y) (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) (* x (sin y))) z)))))
(*.f64 (-.f64 (neg.f64 (cos.f64 y)) (/.f64 (*.f64 (fma.f64 (/.f64 x (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (sin.f64 y)) x) z)) z)
(* -1 (* z (+ (cos y) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y)))) z)) (* x (sin y))) z)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 y) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (cos.f64 y))) z)) z) (cos.f64 y)) (neg.f64 z))

rewrite333.0ms (4.2%)

Memory
33.4MiB live, 352.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029178
050134
1193134
21335134
08307134
Stop Event
iter limit
node limit
iter limit
Counts
17 → 1 468
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(cos.f64 y)
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(fma.f64 y x z)
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
(*.f64 (sin.f64 y) x)
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))
(/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
Outputs
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))))
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(*.f64 (/.f64 z (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (cos.f64 y) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (*.f64 z (*.f64 z (cos.f64 y))) (pow.f64 (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))))
(*.f64 (/.f64 (cos.f64 y) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) (cos.f64 y))) (pow.f64 (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))))
(*.f64 (/.f64 (cos.f64 y) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 (*.f64 z (*.f64 z (cos.f64 y))) (pow.f64 (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (cos.f64 y) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) (cos.f64 y))) (pow.f64 (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (pow.f64 (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
(*.f64 (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))
(*.f64 (*.f64 z (cos.f64 y)) (/.f64 (*.f64 z (cos.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
(*.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))))
(pow.f64 (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
(/.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -2 binary64))))
(/.f64 (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
(/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))))
(/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) (/.f64 (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -2 binary64)))) #s(literal -1 binary64)))

eval207.0ms (2.6%)

Memory
18.6MiB live, 242.7MiB allocated
Compiler

Compiled 47 293 to 3 215 computations (93.2% saved)

prune77.0ms (1%)

Memory
-17.1MiB live, 110.8MiB allocated
Pruning

33 alts after pruning (30 fresh and 3 done)

PrunedKeptTotal
New988271 015
Fresh639
Picked235
Done000
Total996331 029
Accuracy
100.0%
Counts
1 029 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.9%
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x (*.f64 (cos.f64 y) z))
62.5%
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) x) (/.f64 (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
82.1%
(fma.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (cos.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
74.3%
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z))))
63.7%
(fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64))) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
56.4%
(fma.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
99.8%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
78.7%
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
54.8%
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #s(approx (pow (* (cos y) z) 2) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
45.1%
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #s(approx (pow (* (cos y) z) 2) (*.f64 z z))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
36.0%
(/.f64 (-.f64 #s(approx (pow (* (sin y) x) 2) (*.f64 (*.f64 (*.f64 x x) y) y)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
34.3%
(/.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
99.6%
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
78.7%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
54.7%
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
93.5%
#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
88.3%
#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
53.3%
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
53.4%
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
54.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
32.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))
54.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
64.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
41.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (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))) z))
42.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
42.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
44.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
54.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 x y) z) z z)))
41.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
48.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
13.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
41.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
42.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
Compiler

Compiled 1 598 to 1 012 computations (36.7% saved)

simplify347.0ms (4.4%)

Memory
-11.0MiB live, 261.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sin.f64 y) x)
cost-diff0
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
cost-diff0
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #s(approx (pow (* (cos y) z) 2) (*.f64 z z)))
cost-diff0
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #s(approx (pow (* (cos y) z) 2) (*.f64 z z))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
cost-diff0
(*.f64 z #s(approx (cos y) #s(literal 1 binary64)))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 x (sin.f64 y))
cost-diff128
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
cost-diff0
(*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)))
cost-diff0
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)
cost-diff0
#s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
cost-diff0
(*.f64 x y)
cost-diff0
#s(approx (+ (* y x) z) (*.f64 x y))
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
cost-diff0
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
cost-diff7168
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043273
067267
1111267
2199267
3368267
4624267
5970267
62096267
74055267
85315267
95862267
106276267
116349267
126417267
136473267
146861267
157020267
167027267
177030267
187030267
08298264
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(cos.f64 y)
y
z
(*.f64 (sin.f64 y) x)
(sin.f64 y)
x
#s(literal -1 binary64)
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* y x) z) (*.f64 x y))
(*.f64 x y)
x
y
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)
(*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)))
z
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 y y)
y
#s(literal -1/2 binary64)
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(*.f64 z #s(approx (cos y) #s(literal 1 binary64)))
z
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #s(approx (pow (* (cos y) z) 2) (*.f64 z z))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #s(approx (pow (* (cos y) z) 2) (*.f64 z z)))
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
#s(literal 2 binary64)
#s(approx (pow (* (cos y) z) 2) (*.f64 z z))
(*.f64 z z)
z
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))
(neg.f64 z)
(cos.f64 y)
Outputs
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
#s(literal 1 binary64)
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal -1 binary64))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(cos.f64 y)
y
z
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(sin.f64 y)
x
#s(literal -1 binary64)
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* y x) z) (*.f64 x y))
(*.f64 x y)
x
y
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z) (*.f64 y y) z)))
#s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))
#s(approx (* (cos y) z) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z) (*.f64 y y) z))
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z) (*.f64 y y) z)
(*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z)
z
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 y y)
y
#s(literal -1/2 binary64)
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(*.f64 z #s(approx (cos y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)
z
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #s(approx (pow (* (cos y) z) 2) (*.f64 z z))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(/.f64 (-.f64 #s(approx (pow (* (cos y) z) 2) (*.f64 z z)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)))
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #s(approx (pow (* (cos y) z) 2) (*.f64 z z)))
(-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) #s(approx (pow (* (cos y) z) 2) (*.f64 z z)))
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(sin.f64 y)
y
x
#s(literal 2 binary64)
#s(approx (pow (* (cos y) z) 2) (*.f64 z z))
(*.f64 z z)
z
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))
(neg.f64 z)
(cos.f64 y)

localize186.0ms (2.4%)

Memory
26.9MiB live, 232.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.234375
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
accuracy3.195295986641647
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #s(approx (pow (* (cos y) z) 2) (*.f64 z z)))
accuracy13.500804573595502
#s(approx (pow (* (cos y) z) 2) (*.f64 z z))
accuracy28.744676766806638
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #s(approx (pow (* (cos y) z) 2) (*.f64 z z))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
accuracy0.0078125
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
accuracy0.09375
(*.f64 x (sin.f64 y))
accuracy0.10546875
(*.f64 z #s(approx (cos y) #s(literal 1 binary64)))
accuracy27.05565269021619
#s(approx (cos y) #s(literal 1 binary64))
accuracy0.31637113214237356
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
accuracy3.3482990294648354
(*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)))
accuracy22.756497243184672
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
accuracy29.91908380406664
#s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))
accuracy0.0
(*.f64 x y)
accuracy28.843658945673972
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
accuracy35.51235181851935
#s(approx (+ (* y x) z) (*.f64 x y))
accuracy0.0625
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
accuracy0.09375
(*.f64 (sin.f64 y) x)
accuracy0.14453125
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
accuracy0.2265625
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
Samples
154.0ms256×0valid
Compiler

Compiled 492 to 81 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 120.0ms
ival-mult: 63.0ms (52.4% of total)
ival-cos: 25.0ms (20.8% of total)
ival-sin: 7.0ms (5.8% of total)
ival-add: 6.0ms (5% of total)
ival-pow2: 5.0ms (4.2% of total)
const: 4.0ms (3.3% of total)
ival-pow: 4.0ms (3.3% of total)
ival-div: 3.0ms (2.5% of total)
ival-sub: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series61.0ms (0.8%)

Memory
-0.2MiB live, 38.1MiB allocated
Counts
22 → 95
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(cos.f64 y)
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* y x) z) (*.f64 x y))
(*.f64 x y)
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)
(*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(*.f64 x (sin.f64 y))
(sin.f64 y)
(*.f64 z #s(approx (cos y) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #s(approx (pow (* (cos y) z) 2) (*.f64 z z))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #s(approx (pow (* (cos y) z) 2) (*.f64 z z)))
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
(*.f64 (sin.f64 y) x)
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
#s(approx (cos y) #s(literal 1 binary64))
#s(approx (pow (* (cos y) z) 2) (*.f64 z z))
Outputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(/ 1 (* z (cos y)))
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))
(+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
z
(+ z (* x y))
(* x y)
(* x (sin y))
(* -1 (* (pow z 2) (pow (cos y) 2)))
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))
(* (pow x 2) (pow (sin y) 2))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(/ 1 (* x (sin y)))
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)
(* x (+ y (/ z x)))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(/ 1 z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
1
(+ 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)))
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(* -1/2 z)
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
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 (* y (- (* y (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x))))
(+ z (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) z)) (+ (* -1/2 x) (* 1/6 x))))) (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z))) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x))))
(* -1 (pow z 2))
(- (* (pow y 2) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow x 2)) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow x 2)) (* (pow y 2) (- (* 2/45 (pow x 2)) (* -2/45 (pow z 2))))) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))
-1/2
(- (* 1/24 (pow y 2)) 1/2)
(pow z 2)
(+ (* -1 (* (pow y 2) (pow z 2))) (pow z 2))
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) (pow z 2))
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) (pow z 2))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(cos y)
(* y (+ x (/ z y)))
(* 1/24 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))
(* 1/24 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(sin y)
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y))))
(* 1/24 (pow y 2))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow z 2) (pow (cos y) 2))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* z (- (* 1/24 (pow y 2)) 1/2))
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(* z (+ 1 (/ (* x y) z)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))
Calls

9 calls:

TimeVariablePointExpression
29.0ms
x
@0
((/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (* z (+ (* 1/24 (* y y)) -1/2)) (* y y)) z) (* z (+ (* 1/24 (* y y)) -1/2)) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (* (sin y) x) (+ (* 1/24 (* y y)) -1/2) (cos y) (pow (* (cos y) z) 2))
9.0ms
z
@0
((/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (* z (+ (* 1/24 (* y y)) -1/2)) (* y y)) z) (* z (+ (* 1/24 (* y y)) -1/2)) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (* (sin y) x) (+ (* 1/24 (* y y)) -1/2) (cos y) (pow (* (cos y) z) 2))
4.0ms
z
@-inf
((/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (* z (+ (* 1/24 (* y y)) -1/2)) (* y y)) z) (* z (+ (* 1/24 (* y y)) -1/2)) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (* (sin y) x) (+ (* 1/24 (* y y)) -1/2) (cos y) (pow (* (cos y) z) 2))
4.0ms
z
@inf
((/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (* z (+ (* 1/24 (* y y)) -1/2)) (* y y)) z) (* z (+ (* 1/24 (* y y)) -1/2)) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (* (sin y) x) (+ (* 1/24 (* y y)) -1/2) (cos y) (pow (* (cos y) z) 2))
3.0ms
y
@inf
((/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (* z (+ (* 1/24 (* y y)) -1/2)) (* y y)) z) (* z (+ (* 1/24 (* y y)) -1/2)) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (* (sin y) x) (+ (* 1/24 (* y y)) -1/2) (cos y) (pow (* (cos y) z) 2))

simplify158.0ms (2%)

Memory
-0.1MiB live, 239.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04191762
113831690
247721614
081591528
Stop Event
iter limit
node limit
Counts
95 → 93
Calls
Call 1
Inputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(/ 1 (* z (cos y)))
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))
(+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
z
(+ z (* x y))
(* x y)
(* x (sin y))
(* -1 (* (pow z 2) (pow (cos y) 2)))
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))
(* (pow x 2) (pow (sin y) 2))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(/ 1 (* x (sin y)))
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)
(* x (+ y (/ z x)))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(/ 1 z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
1
(+ 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)))
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(* -1/2 z)
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
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 (* y (- (* y (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x))))
(+ z (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) z)) (+ (* -1/2 x) (* 1/6 x))))) (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z))) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x))))
(* -1 (pow z 2))
(- (* (pow y 2) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow x 2)) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow x 2)) (* (pow y 2) (- (* 2/45 (pow x 2)) (* -2/45 (pow z 2))))) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))
-1/2
(- (* 1/24 (pow y 2)) 1/2)
(pow z 2)
(+ (* -1 (* (pow y 2) (pow z 2))) (pow z 2))
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) (pow z 2))
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) (pow z 2))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(cos y)
(* y (+ x (/ z y)))
(* 1/24 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))
(* 1/24 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(sin y)
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y))))
(* 1/24 (pow y 2))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow z 2) (pow (cos y) 2))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* z (- (* 1/24 (pow y 2)) 1/2))
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(* z (+ 1 (/ (* x y) z)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))
Outputs
(* z (cos y))
(*.f64 (cos.f64 y) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(/ 1 (* z (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))
(/.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z)
(+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(fma.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))) x (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 (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))))) x (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))) x (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))
z
(+ z (* x y))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* (pow z 2) (pow (cos y) 2)))
(*.f64 (neg.f64 z) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))
(fma.f64 (neg.f64 z) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))
(* (pow x 2) (pow (sin y) 2))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x))) x)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)
(/.f64 (+.f64 (/.f64 (*.f64 z (-.f64 (*.f64 z (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)
(/.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 z (-.f64 (*.f64 z (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) x)
(* x (+ y (/ z x)))
(*.f64 (+.f64 (/.f64 z x) y) x)
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2)))
(*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 z x)))) (*.f64 x x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))
(/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(/.f64 (+.f64 (/.f64 (*.f64 z (-.f64 (*.f64 z (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 (*.f64 z (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) x) (*.f64 (cos.f64 y) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 (+.f64 (/.f64 z x) y) x)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(fma.f64 (fma.f64 (fma.f64 x (/.f64 x (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) z)) y (/.f64 (neg.f64 x) (*.f64 z z))) y (/.f64 #s(literal 1 binary64) z))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 x (*.f64 z z)) #s(literal 1/3 binary64) (/.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) z) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) z)) (neg.f64 y) (fma.f64 x (/.f64 x (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) z))) y (/.f64 (neg.f64 x) (*.f64 z z))) y (/.f64 #s(literal 1 binary64) z))
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))
(+ z (* -1/2 (* (pow y 2) z)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(fma.f64 (*.f64 z (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)))) (*.f64 y y) z)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)))) (*.f64 x 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 (* y (- (* y (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x))))
(fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (/.f64 (fma.f64 x x (*.f64 z z)) z)) y x) y z)
(+ z (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) z)) (+ (* -1/2 x) (* 1/6 x))))) (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z))) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x))))
(fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (fma.f64 (*.f64 x (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (/.f64 (fma.f64 x x (*.f64 z z)) z)) z))) y (/.f64 (fma.f64 x x (*.f64 z z)) z))) y x) y z)
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(- (* (pow y 2) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))
(fma.f64 (*.f64 (fma.f64 x x (*.f64 z z)) y) y (*.f64 (neg.f64 z) z))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow x 2)) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2))
(fma.f64 (neg.f64 z) z (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 x x (*.f64 z z))) y) y (fma.f64 x x (*.f64 z z))) (*.f64 y y)))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow x 2)) (* (pow y 2) (- (* 2/45 (pow x 2)) (* -2/45 (pow z 2))))) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2))
(fma.f64 (neg.f64 z) z (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2/45 binary64) (fma.f64 x x (*.f64 z z))) y) y (*.f64 #s(literal -1/3 binary64) (fma.f64 x x (*.f64 z z)))) (*.f64 y y) (fma.f64 x x (*.f64 z z))) (*.f64 y y)))
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 (*.f64 y y) x) x)
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 y y) x) x))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 2/45 binary64) (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 y y) (*.f64 x x)) (*.f64 y y))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 x x) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/315 binary64) #s(literal 2/45 binary64))))) (*.f64 y y))
-1/2
#s(literal -1/2 binary64)
(- (* 1/24 (pow y 2)) 1/2)
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
(pow z 2)
(*.f64 z z)
(+ (* -1 (* (pow y 2) (pow z 2))) (pow z 2))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (*.f64 z z))
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) (pow z 2))
(fma.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal -1 binary64))) (*.f64 y y) (*.f64 z z))
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) (pow z 2))
(fma.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (*.f64 z z) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 z z) (fma.f64 #s(literal -2/45 binary64) (*.f64 y y) #s(literal 1/3 binary64)))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(cos y)
(cos.f64 y)
(* y (+ x (/ z y)))
(*.f64 (+.f64 (/.f64 z y) x) y)
(* 1/24 (* (pow y 4) z))
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) z) #s(literal 1/24 binary64))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(*.f64 (*.f64 z (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))
(*.f64 (fma.f64 z (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 z (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* 1/24 (* (pow y 2) z))
(*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/24 binary64))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(*.f64 (*.f64 z (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) (*.f64 y y))
(sin y)
(sin.f64 y)
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y))))
(/.f64 (fma.f64 (neg.f64 z) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(* 1/24 (pow y 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 y y))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) y) y)
(* (pow z 2) (pow (cos y) 2))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(*.f64 (+.f64 (/.f64 z y) x) y)
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x))) x)
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) z (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) z)
(* z (- (* 1/24 (pow y 2)) 1/2))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z)
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2)))
(fma.f64 (neg.f64 z) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)
(/.f64 (+.f64 (/.f64 (*.f64 x (-.f64 (*.f64 x (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(/.f64 (+.f64 (/.f64 (*.f64 x (-.f64 (*.f64 x (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))) z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 (/.f64 (*.f64 x y) z) z z)
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2)))
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (/.f64 (*.f64 x x) z)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(/.f64 (+.f64 (/.f64 (*.f64 x (-.f64 (*.f64 x (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 z))) z) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z)
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(*.f64 (neg.f64 z) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))
(*.f64 (neg.f64 z) (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))

rewrite246.0ms (3.1%)

Memory
6.9MiB live, 196.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043227
067221
1255221
21610221
08470218
Stop Event
iter limit
node limit
iter limit
Counts
22 → 629
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(cos.f64 y)
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* y x) z) (*.f64 x y))
(*.f64 x y)
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)
(*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(*.f64 x (sin.f64 y))
(sin.f64 y)
(*.f64 z #s(approx (cos y) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #s(approx (pow (* (cos y) z) 2) (*.f64 z z))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #s(approx (pow (* (cos y) z) 2) (*.f64 z z)))
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
(*.f64 (sin.f64 y) x)
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
#s(approx (cos y) #s(literal 1 binary64))
#s(approx (pow (* (cos y) z) 2) (*.f64 z z))
Outputs
(*.f64 (/.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
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#s(approx (cos y) #s(literal 1 binary64))
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#s(approx (pow (* (cos y) z) 2) (*.f64 z z))
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eval207.0ms (2.6%)

Memory
1.5MiB live, 199.6MiB allocated
Compiler

Compiled 25 491 to 2 206 computations (91.3% saved)

prune109.0ms (1.4%)

Memory
-22.9MiB live, 67.5MiB allocated
Pruning

38 alts after pruning (34 fresh and 4 done)

PrunedKeptTotal
New60221623
Fresh121325
Picked415
Done033
Total61838656
Accuracy
100.0%
Counts
656 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.9%
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x (*.f64 (cos.f64 y) z))
74.3%
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z))))
63.7%
(fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64))) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
99.8%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
78.7%
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
78.7%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))
50.3%
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
44.0%
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #s(approx (pow (* (cos y) z) 2) (*.f64 z z))) (fma.f64 (neg.f64 z) #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) x)))
34.3%
(/.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (neg.f64 z) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
41.5%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
33.7%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))))
63.9%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z)))
36.8%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))))
64.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))))
44.0%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
45.9%
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
53.5%
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
53.6%
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
54.7%
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
53.3%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
53.4%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
93.5%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
88.3%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
54.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
32.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))
54.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
64.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
41.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (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))) z))
44.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
54.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 x y) z) z z)))
41.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
48.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
13.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
41.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
42.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) y) y) z z)))
42.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) z)))
41.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)))
42.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) #s(literal -1/2 binary64))) (*.f64 y y) z)))
Compiler

Compiled 1 709 to 1 193 computations (30.2% saved)

simplify144.0ms (1.8%)

Memory
-10.3MiB live, 109.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(sqrt.f64 (sin.f64 y))
cost-diff0
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x (*.f64 (cos.f64 y) z))
cost-diff7104
(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
cost-diff128
(fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
cost-diff0
(*.f64 z (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)))
cost-diff0
(fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) z)
cost-diff0
#s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) z))
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) z)))
cost-diff0
#s(approx (cos y) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
cost-diff0
(/.f64 (sin.f64 y) z)
cost-diff0
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
cost-diff0
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
cost-diff704
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045271
075267
1117258
2202258
3420258
4725252
5912252
61952252
73041252
84897252
97220252
08007249
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
(/.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
x
(cos.f64 y)
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
z
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) z))
(fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) z)
(*.f64 z (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)))
z
(fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))
(*.f64 #s(literal 1/24 binary64) y)
#s(literal 1/24 binary64)
y
#s(literal -1/2 binary64)
(*.f64 y y)
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
#s(literal 1 binary64)
#s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(neg.f64 x)
x
(/.f64 y (*.f64 z z))
y
(*.f64 z z)
z
(/.f64 #s(literal 1 binary64) z)
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x (*.f64 (cos.f64 y) z))
(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (sin.f64 y))
(sin.f64 y)
y
#s(literal 2 binary64)
x
(*.f64 (cos.f64 y) z)
(cos.f64 y)
z
Outputs
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
(/.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
x
(cos.f64 y)
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
z
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) z) z)))
#s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) z))
#s(approx (* (cos y) z) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) z) z))
(fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) z)
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) z) z)
(*.f64 z (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) z)
z
(fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))
(*.f64 #s(literal 1/24 binary64) y)
#s(literal 1/24 binary64)
y
#s(literal -1/2 binary64)
(*.f64 y y)
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (*.f64 (fma.f64 (/.f64 x z) y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))))
#s(literal 1 binary64)
#s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))
#s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (*.f64 (fma.f64 (/.f64 x z) y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)))
(fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (fma.f64 (/.f64 x z) y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(neg.f64 x)
x
(/.f64 y (*.f64 z z))
y
(*.f64 z z)
z
(/.f64 #s(literal 1 binary64) z)
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))
(sin.f64 y)
(sqrt.f64 (sin.f64 y))
(sin.f64 y)
y
#s(literal 2 binary64)
x
(*.f64 (cos.f64 y) z)
(cos.f64 y)
z

localize143.0ms (1.8%)

Memory
16.7MiB live, 174.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0234375
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x (*.f64 (cos.f64 y) z))
accuracy0.046875
(sqrt.f64 (sin.f64 y))
accuracy0.0625
(*.f64 (cos.f64 y) z)
accuracy0.2936325195368841
(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))
accuracy0.11328125
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
accuracy1.8989901021404123
(/.f64 y (*.f64 z z))
accuracy2.7658077582565244
(fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
accuracy19.026620803468465
#s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))
accuracy0.18359375
(*.f64 #s(literal 1/24 binary64) y)
accuracy1.692462444412051
(*.f64 z (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)))
accuracy11.666150713483994
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) z)))
accuracy16.032268905943326
#s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) z))
accuracy0.0625
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)
accuracy11.666150713483994
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
accuracy14.6402944268204
#s(approx (cos y) #s(literal 1 binary64))
accuracy0.0
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
accuracy0.03515625
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
accuracy0.078125
(/.f64 (sin.f64 y) z)
accuracy1.9413933357957034
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
Samples
64.0ms136×0valid
37.0ms120×0invalid
Compiler

Compiled 473 to 87 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-mult: 21.0ms (31.3% of total)
ival-div: 13.0ms (19.4% of total)
ival-add: 7.0ms (10.4% of total)
ival-cos: 6.0ms (9% of total)
ival-sin: 5.0ms (7.5% of total)
const: 4.0ms (6% of total)
ival-pow: 4.0ms (6% of total)
ival-sqrt: 2.0ms (3% of total)
ival-pow2: 2.0ms (3% of total)
exact: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series42.0ms (0.5%)

Memory
2.1MiB live, 39.1MiB allocated
Counts
22 → 88
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
(/.f64 (sin.f64 y) z)
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)
#s(approx (cos y) #s(literal 1 binary64))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) z))
(fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) z)
(*.f64 z (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
#s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))
(neg.f64 x)
(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x (*.f64 (cos.f64 y) z))
(sqrt.f64 (sin.f64 y))
(sin.f64 y)
(*.f64 #s(literal 1/24 binary64) y)
(/.f64 y (*.f64 z z))
(*.f64 (cos.f64 y) z)
Outputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(/ 1 z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(/ 1 (* z (cos y)))
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))
(+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(* -1 x)
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(/ (* x (sin y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* -1 (/ (* x y) (pow z 2)))
(* x (+ (* -1 (/ y (pow z 2))) (/ 1 (* x z))))
(/ 1 (* x (sin y)))
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (- (/ y (pow z 2)) (/ 1 (* x z)))))
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
1
(+ 1 (/ (* x y) z))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))
(/ y z)
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* -1/2 z)
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sqrt y)
(+ (sqrt y) (* -1/12 (sqrt (pow y 5))))
(+ (sqrt y) (* (pow y 3) (+ (* -1/12 (sqrt (/ 1 y))) (* 1/240 (sqrt (pow y 3))))))
(+ (sqrt y) (* (pow y 3) (+ (* -1/12 (sqrt (/ 1 y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ 1 y))) (* 1/240 (sqrt (/ 1 y))))))))
(* 1/24 y)
(/ y (pow z 2))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(/ (sin y) z)
(* 1/24 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))
(* 1/24 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* y (+ (* -1 (/ x (pow z 2))) (/ 1 (* y z))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(sin y)
(sqrt (sin y))
(* -1 (* y (- (/ x (pow z 2)) (/ 1 (* y z)))))
(/ (+ (* x (sin y)) (* z (cos y))) z)
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* z (- (* 1/24 (pow y 2)) 1/2))
(/ (+ z (* -1 (* x y))) (pow z 2))
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(/ (+ 1 (* -1 (/ (* x y) z))) z)
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))
(* -1 (/ (- (/ (* x y) z) 1) z))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
Calls

9 calls:

TimeVariablePointExpression
18.0ms
y
@inf
((* (+ (* (/ (sin y) z) x) (cos y)) z) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (* z (+ (* (* 1/24 y) y) -1/2)) (* y y)) z) (* z (+ (* (* 1/24 y) y) -1/2)) (+ (* (neg x) (/ y (* z z))) (/ 1 z)) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (neg x) (pow (sqrt (sin y)) 2) (+ (* (pow (sqrt (sin y)) 2) x) (* (cos y) z)) (sqrt (sin y)) (sin y) (* 1/24 y) (/ y (* z z)) (* (cos y) z))
4.0ms
z
@-inf
((* (+ (* (/ (sin y) z) x) (cos y)) z) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (* z (+ (* (* 1/24 y) y) -1/2)) (* y y)) z) (* z (+ (* (* 1/24 y) y) -1/2)) (+ (* (neg x) (/ y (* z z))) (/ 1 z)) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (neg x) (pow (sqrt (sin y)) 2) (+ (* (pow (sqrt (sin y)) 2) x) (* (cos y) z)) (sqrt (sin y)) (sin y) (* 1/24 y) (/ y (* z z)) (* (cos y) z))
3.0ms
y
@-inf
((* (+ (* (/ (sin y) z) x) (cos y)) z) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (* z (+ (* (* 1/24 y) y) -1/2)) (* y y)) z) (* z (+ (* (* 1/24 y) y) -1/2)) (+ (* (neg x) (/ y (* z z))) (/ 1 z)) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (neg x) (pow (sqrt (sin y)) 2) (+ (* (pow (sqrt (sin y)) 2) x) (* (cos y) z)) (sqrt (sin y)) (sin y) (* 1/24 y) (/ y (* z z)) (* (cos y) z))
3.0ms
z
@0
((* (+ (* (/ (sin y) z) x) (cos y)) z) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (* z (+ (* (* 1/24 y) y) -1/2)) (* y y)) z) (* z (+ (* (* 1/24 y) y) -1/2)) (+ (* (neg x) (/ y (* z z))) (/ 1 z)) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (neg x) (pow (sqrt (sin y)) 2) (+ (* (pow (sqrt (sin y)) 2) x) (* (cos y) z)) (sqrt (sin y)) (sin y) (* 1/24 y) (/ y (* z z)) (* (cos y) z))
3.0ms
z
@inf
((* (+ (* (/ (sin y) z) x) (cos y)) z) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (* z (+ (* (* 1/24 y) y) -1/2)) (* y y)) z) (* z (+ (* (* 1/24 y) y) -1/2)) (+ (* (neg x) (/ y (* z z))) (/ 1 z)) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (neg x) (pow (sqrt (sin y)) 2) (+ (* (pow (sqrt (sin y)) 2) x) (* (cos y) z)) (sqrt (sin y)) (sin y) (* 1/24 y) (/ y (* z z)) (* (cos y) z))

simplify230.0ms (2.9%)

Memory
-1.4MiB live, 126.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03741461
111831399
239161331
081561265
Stop Event
iter limit
node limit
Counts
88 → 86
Calls
Call 1
Inputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(/ 1 z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(/ 1 (* z (cos y)))
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))
(+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(* -1 x)
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(/ (* x (sin y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* -1 (/ (* x y) (pow z 2)))
(* x (+ (* -1 (/ y (pow z 2))) (/ 1 (* x z))))
(/ 1 (* x (sin y)))
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (- (/ y (pow z 2)) (/ 1 (* x z)))))
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
1
(+ 1 (/ (* x y) z))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))
(/ y z)
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* -1/2 z)
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sqrt y)
(+ (sqrt y) (* -1/12 (sqrt (pow y 5))))
(+ (sqrt y) (* (pow y 3) (+ (* -1/12 (sqrt (/ 1 y))) (* 1/240 (sqrt (pow y 3))))))
(+ (sqrt y) (* (pow y 3) (+ (* -1/12 (sqrt (/ 1 y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ 1 y))) (* 1/240 (sqrt (/ 1 y))))))))
(* 1/24 y)
(/ y (pow z 2))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(/ (sin y) z)
(* 1/24 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))
(* 1/24 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* y (+ (* -1 (/ x (pow z 2))) (/ 1 (* y z))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(sin y)
(sqrt (sin y))
(* -1 (* y (- (/ x (pow z 2)) (/ 1 (* y z)))))
(/ (+ (* x (sin y)) (* z (cos y))) z)
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* z (- (* 1/24 (pow y 2)) 1/2))
(/ (+ z (* -1 (* x y))) (pow z 2))
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(/ (+ 1 (* -1 (/ (* x y) z))) z)
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))
(* -1 (/ (- (/ (* x y) z) 1) z))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
Outputs
(* z (cos y))
(*.f64 (cos.f64 y) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(/.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal 1 binary64)) z)
(/ 1 (* z (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))
(/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))
(+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) x (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 (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))))) x (/.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 z) z))) x (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))
(* -1 x)
(neg.f64 x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(/ (* x (sin y)) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x)
(* -1 (/ (* x y) (pow z 2)))
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 x z))
(* x (+ (* -1 (/ y (pow z 2))) (/ 1 (* x z))))
(/.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal 1 binary64)) z)
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)
(/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)
(/.f64 (+.f64 (/.f64 (*.f64 z (-.f64 (*.f64 z (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)
(/.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 z (-.f64 (*.f64 z (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x)
(* -1 (* x (- (/ y (pow z 2)) (/ 1 (* x z)))))
(/.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal 1 binary64)) z)
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))
(/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(/.f64 (+.f64 (/.f64 (*.f64 z (-.f64 (*.f64 z (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z (/.f64 (*.f64 (*.f64 z z) (-.f64 (*.f64 z (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) x))) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
1
#s(literal 1 binary64)
(+ 1 (/ (* x y) z))
(fma.f64 (/.f64 y z) x #s(literal 1 binary64))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))
(/ y z)
(/.f64 y z)
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64)) z) (/.f64 y z))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 y z))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y (/.f64 y z)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (/.f64 #s(literal -1/6 binary64) z)) (/.f64 y z))
(+ z (* -1/2 (* (pow y 2) z)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(fma.f64 (*.f64 z (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) z)
(+ 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))
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z)
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(fma.f64 (fma.f64 (fma.f64 x (/.f64 x (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) z)) y (/.f64 (/.f64 (neg.f64 x) z) z)) y (/.f64 #s(literal 1 binary64) z))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (fma.f64 (/.f64 (/.f64 x z) z) #s(literal 1/3 binary64) (/.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) z) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) z)) (fma.f64 x (/.f64 x (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) z))) y (/.f64 (/.f64 (neg.f64 x) z) z)) y (/.f64 #s(literal 1 binary64) z))
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)
(sqrt y)
(sqrt.f64 y)
(+ (sqrt y) (* -1/12 (sqrt (pow y 5))))
(fma.f64 (sqrt.f64 (pow.f64 y #s(literal 5 binary64))) #s(literal -1/12 binary64) (sqrt.f64 y))
(+ (sqrt y) (* (pow y 3) (+ (* -1/12 (sqrt (/ 1 y))) (* 1/240 (sqrt (pow y 3))))))
(fma.f64 (fma.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) #s(literal 1/240 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/12 binary64))) (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 y))
(+ (sqrt y) (* (pow y 3) (+ (* -1/12 (sqrt (/ 1 y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ 1 y))) (* 1/240 (sqrt (/ 1 y))))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/1440 binary64) (*.f64 y y) #s(literal -1/12 binary64))) (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 y))
(* 1/24 y)
(*.f64 #s(literal 1/24 binary64) y)
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(* 1/24 (* (pow y 4) z))
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) z) #s(literal 1/24 binary64))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(*.f64 (*.f64 z (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))
(*.f64 (fma.f64 z (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) #s(literal 1/24 binary64)) (/.f64 z (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* 1/24 (* (pow y 2) z))
(*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) z)
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(*.f64 (*.f64 z (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) #s(literal 1/24 binary64))) (*.f64 y y))
(* y (+ (* -1 (/ x (pow z 2))) (/ 1 (* y z))))
(/.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal 1 binary64)) z)
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))
(sin y)
(sin.f64 y)
(sqrt (sin y))
(sqrt.f64 (sin.f64 y))
(* -1 (* y (- (/ x (pow z 2)) (/ 1 (* y z)))))
(/.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal 1 binary64)) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) z)
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) z)
(* z (- (* 1/24 (pow y 2)) 1/2))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z)
(/ (+ z (* -1 (* x y))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) y z) z) z)
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))
(/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) z (/.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))
(/ (+ 1 (* -1 (/ (* x y) z))) z)
(/.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal 1 binary64)) z)
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)
(/.f64 (+.f64 (/.f64 (*.f64 x (-.f64 (*.f64 x (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(/.f64 (+.f64 (/.f64 (*.f64 x (-.f64 (*.f64 x (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z) (fma.f64 (neg.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 y)))) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) z)
(* -1 (/ (- (/ (* x y) z) 1) z))
(/.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal 1 binary64)) z)
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(/.f64 (+.f64 (/.f64 (*.f64 x (-.f64 (*.f64 x (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) z))) z) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z)

rewrite240.0ms (3%)

Memory
10.3MiB live, 171.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045233
075227
1259218
21692212
08285212
Stop Event
iter limit
node limit
iter limit
Counts
22 → 569
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
(/.f64 (sin.f64 y) z)
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)
#s(approx (cos y) #s(literal 1 binary64))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) z))
(fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) z)
(*.f64 z (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
#s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))
(neg.f64 x)
(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x (*.f64 (cos.f64 y) z))
(sqrt.f64 (sin.f64 y))
(sin.f64 y)
(*.f64 #s(literal 1/24 binary64) y)
(/.f64 y (*.f64 z z))
(*.f64 (cos.f64 y) z)
Outputs
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (pow.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)) #s(literal -1 binary64)))
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(neg.f64 (/.f64 y (*.f64 (neg.f64 z) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z)) (/.f64 y (*.f64 (neg.f64 z) z)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (pow.f64 z #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 (neg.f64 z) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 z z) y)) #s(literal -1 binary64)))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(/.f64 (cos.f64 y) (pow.f64 z #s(literal -1 binary64)))

eval94.0ms (1.2%)

Memory
-13.1MiB live, 142.1MiB allocated
Compiler

Compiled 21 242 to 2 672 computations (87.4% saved)

prune44.0ms (0.6%)

Memory
4.0MiB live, 117.5MiB allocated
Pruning

36 alts after pruning (31 fresh and 5 done)

PrunedKeptTotal
New61811629
Fresh92029
Picked415
Done044
Total63136667
Accuracy
100.0%
Counts
667 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.7%
(fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64))) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
99.8%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
78.7%
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
78.7%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))
34.3%
(/.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (neg.f64 z) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
15.7%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (/.f64 z y) z (*.f64 z (neg.f64 x))) (*.f64 z (/.f64 (*.f64 z z) y)))))
16.5%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (*.f64 (neg.f64 x) y) (neg.f64 (neg.f64 z)) (*.f64 z z)) (*.f64 (*.f64 z z) (neg.f64 (neg.f64 z))))))
36.8%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))))
64.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))))
44.0%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
43.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) #s(approx (+ (* (neg x) (/ y (* z z))) (/ 1 z)) (/.f64 (/.f64 (fma.f64 (neg.f64 x) y z) z) z))))
3.1%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) #s(approx (+ (* (neg x) (/ y (* z z))) (/ 1 z)) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 x z)))))
45.9%
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
53.5%
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
53.6%
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
54.7%
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
53.3%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
53.4%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
93.3%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (/.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) (pow.f64 z #s(literal -1 binary64))))
93.5%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))))
88.3%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
91.3%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z))
54.0%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z))
36.8%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) (*.f64 (sin.f64 y) x)))
54.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
32.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))
54.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
64.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
44.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
41.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
48.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
13.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
42.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) y) y) z z)))
41.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (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) z)))
41.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)))
42.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) #s(literal -1/2 binary64))) (*.f64 y y) z)))
Compiler

Compiled 2 785 to 967 computations (65.3% saved)

regimes120.0ms (1.5%)

Memory
10.9MiB live, 166.5MiB allocated
Counts
74 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 x y) z) z z)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) y) y) z z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) y) y) z z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (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) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (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))) z))
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) #s(approx (+ (* (neg x) (/ y (* z z))) (/ 1 z)) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 x z)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) #s(approx (+ (* (neg x) (/ y (* z z))) (/ 1 z)) (/.f64 (/.f64 (fma.f64 (neg.f64 x) y z) z) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (*.f64 (neg.f64 x) y) (neg.f64 (neg.f64 z)) (*.f64 z z)) (*.f64 (*.f64 z z) (neg.f64 (neg.f64 z))))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (/.f64 z y) z (*.f64 z (neg.f64 x))) (*.f64 z (/.f64 (*.f64 z z) y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) (*.f64 (sin.f64 y) x)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))
#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))))
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x (*.f64 (cos.f64 y) z))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (/.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) (pow.f64 z #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #s(approx (pow (* (cos y) z) 2) (*.f64 z z))) (fma.f64 (neg.f64 z) #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) x)))
(fma.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(/.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (neg.f64 z) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(/.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #s(approx (pow (* (cos y) z) 2) (*.f64 z z))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z))))
(/.f64 (-.f64 #s(approx (pow (* (sin y) x) 2) (*.f64 (*.f64 (*.f64 x x) y) y)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #s(approx (pow (* (cos y) z) 2) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
(fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) x) (/.f64 (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(fma.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (cos.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))
(fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64))) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
Outputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
Calls

4 calls:

46.0ms
x
25.0ms
y
23.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
22.0ms
z
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes98.0ms (1.2%)

Memory
-7.0MiB live, 117.4MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 x y) z) z z)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) y) y) z z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) y) y) z z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (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) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (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))) z))
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) #s(approx (+ (* (neg x) (/ y (* z z))) (/ 1 z)) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 x z)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) #s(approx (+ (* (neg x) (/ y (* z z))) (/ 1 z)) (/.f64 (/.f64 (fma.f64 (neg.f64 x) y z) z) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (*.f64 (neg.f64 x) y) (neg.f64 (neg.f64 z)) (*.f64 z z)) (*.f64 (*.f64 z z) (neg.f64 (neg.f64 z))))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (/.f64 z y) z (*.f64 z (neg.f64 x))) (*.f64 z (/.f64 (*.f64 z z) y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) (*.f64 (sin.f64 y) x)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))))
Outputs
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))
Calls

4 calls:

48.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
22.0ms
x
14.0ms
z
11.0ms
y
Results
AccuracySegmentsBranch
89.1%3x
82.8%3y
87.1%3z
78.7%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes89.0ms (1.1%)

Memory
-26.0MiB live, 58.2MiB allocated
Counts
35 → 4
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 x y) z) z z)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) y) y) z z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) y) y) z z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (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) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (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))) z))
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) #s(approx (+ (* (neg x) (/ y (* z z))) (/ 1 z)) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 x z)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) #s(approx (+ (* (neg x) (/ y (* z z))) (/ 1 z)) (/.f64 (/.f64 (fma.f64 (neg.f64 x) y z) z) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (*.f64 (neg.f64 x) y) (neg.f64 (neg.f64 z)) (*.f64 z z)) (*.f64 (*.f64 z z) (neg.f64 (neg.f64 z))))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (/.f64 z y) z (*.f64 z (neg.f64 x))) (*.f64 z (/.f64 (*.f64 z z) y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) (*.f64 (sin.f64 y) x)))
Outputs
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) (*.f64 (sin.f64 y) x)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) (*.f64 (sin.f64 y) x)))
Calls

4 calls:

31.0ms
x
10.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
10.0ms
z
10.0ms
y
Results
AccuracySegmentsBranch
64.4%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
81.7%4y
76.9%3z
75.4%3x
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes22.0ms (0.3%)

Memory
26.0MiB live, 26.0MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 x y) z) z z)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) y) y) z z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) y) y) z z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (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) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (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))) z))
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) #s(approx (+ (* (neg x) (/ y (* z z))) (/ 1 z)) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 x z)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) #s(approx (+ (* (neg x) (/ y (* z z))) (/ 1 z)) (/.f64 (/.f64 (fma.f64 (neg.f64 x) y z) z) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (*.f64 (neg.f64 x) y) (neg.f64 (neg.f64 z)) (*.f64 z z)) (*.f64 (*.f64 z z) (neg.f64 (neg.f64 z))))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (/.f64 z y) z (*.f64 z (neg.f64 x))) (*.f64 z (/.f64 (*.f64 z z) y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Calls

2 calls:

10.0ms
y
10.0ms
z
Results
AccuracySegmentsBranch
68.9%3z
75.7%3y
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes69.0ms (0.9%)

Memory
-12.5MiB live, 64.0MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 x y) z) z z)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) y) y) z z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) y) y) z z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (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) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (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))) z))
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) #s(approx (+ (* (neg x) (/ y (* z z))) (/ 1 z)) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 x z)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) #s(approx (+ (* (neg x) (/ y (* z z))) (/ 1 z)) (/.f64 (/.f64 (fma.f64 (neg.f64 x) y z) z) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (*.f64 (neg.f64 x) y) (neg.f64 (neg.f64 z)) (*.f64 z z)) (*.f64 (*.f64 z z) (neg.f64 (neg.f64 z))))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (/.f64 z y) z (*.f64 z (neg.f64 x))) (*.f64 z (/.f64 (*.f64 z z) y)))))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
Calls

4 calls:

26.0ms
x
23.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
9.0ms
z
9.0ms
y
Results
AccuracySegmentsBranch
54.9%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
54.9%1z
54.9%1x
54.9%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes6.0ms (0.1%)

Memory
15.4MiB live, 15.4MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
Calls

4 calls:

2.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
1.0ms
x
1.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
47.7%3z
44.1%1x
44.1%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
44.1%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes20.0ms (0.2%)

Memory
-22.4MiB live, 16.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

16.0ms
y
1.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
13.7%1y
13.7%1x
13.7%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
13.7%1z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch83.0ms (1.1%)

Memory
-0.7MiB live, 43.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
69.0ms
2.999164004396912e-88
4.395724168903706e-83
12.0ms
-1.100336834082067e-24
-8.912104420363988e-26
Samples
71.0ms240×0valid
Compiler

Compiled 372 to 344 computations (7.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sin: 6.0ms (40.2% of total)
ival-cos: 5.0ms (33.5% of total)
ival-mult: 3.0ms (20.1% of total)
ival-add: 1.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch83.0ms (1%)

Memory
13.6MiB live, 91.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
9.198408225974261e+146
5.476194502154941e+153
31.0ms
44305.53848916828
64651332545.53862
24.0ms
-3066032245610716.0
-336.3676485018716
Samples
60.0ms448×0valid
Compiler

Compiled 1 195 to 895 computations (25.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-sin: 25.0ms (51.8% of total)
ival-cos: 15.0ms (31.1% of total)
ival-mult: 6.0ms (12.4% of total)
ival-add: 2.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch34.0ms (0.4%)

Memory
-10.2MiB live, 28.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
44305.53848916828
64651332545.53862
31.0ms
-336.3676485018716
-9.4979062711122e-22
Samples
24.0ms176×0valid
Compiler

Compiled 672 to 534 computations (20.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sin: 15.0ms (77.7% of total)
ival-mult: 2.0ms (10.4% of total)
ival-add: 1.0ms (5.2% of total)
ival-cos: 1.0ms (5.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch45.0ms (0.6%)

Memory
-0.2MiB live, 41.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
30.0ms
5.5661591598430524e-129
2.7914059412081857e-124
12.0ms
-5.153874905412656e-186
-6.22058685907616e-187
Samples
34.0ms224×0valid
Compiler

Compiled 502 to 392 computations (21.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-cos: 18.0ms (64.3% of total)
ival-sin: 5.0ms (17.9% of total)
ival-mult: 3.0ms (10.7% of total)
ival-add: 1.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify91.0ms (1.2%)

Memory
12.0MiB live, 50.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
069265
193257
2104257
3139257
4178253
5184253
6366253
7932253
82270253
92653253
102969253
113159253
123212253
133384253
145049253
155464253
166050253
177761253
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(if (<=.f64 x #s(literal -3811162509514511/10889035741470030830827987437816582766592 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y))) (if (<=.f64 x #s(literal 1401207495564117/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))))
(if (<=.f64 y #s(literal -340 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) (*.f64 (sin.f64 y) x))) (if (<=.f64 y #s(literal 45000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) (if (<=.f64 y #s(literal 31000000000000002131548697454084451867731000014956886411981211692219829533902282999662576752345068184060204044864827021517034025765627773149990686294016 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) (*.f64 (sin.f64 y) x))))))
(if (<=.f64 y #s(literal -6110483974416289/576460752303423488 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 45000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(if (<=.f64 z #s(literal -6368548303854545/9797766621314684873895700802803279209044463565243731922466831101232640732633100491228823617617764419367505179450247842283955649007454149170085442756585554871624752266571753841250508572690789992495054848 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (if (<=.f64 z #s(literal 1333754873792233/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
Outputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(if (<=.f64 x #s(literal -3811162509514511/10889035741470030830827987437816582766592 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y))) (if (<=.f64 x #s(literal 1401207495564117/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))))
(if (or (<=.f64 x #s(literal -3811162509514511/10889035741470030830827987437816582766592 binary64)) (not (<=.f64 x #s(literal 1401207495564117/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y))) #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (cos.f64 y) z)))
(if (<=.f64 y #s(literal -340 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) (*.f64 (sin.f64 y) x))) (if (<=.f64 y #s(literal 45000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) (if (<=.f64 y #s(literal 31000000000000002131548697454084451867731000014956886411981211692219829533902282999662576752345068184060204044864827021517034025765627773149990686294016 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) (*.f64 (sin.f64 y) x))))))
(if (<=.f64 y #s(literal -340 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (sin.f64 y) x))) (if (<=.f64 y #s(literal 45000 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) (if (<=.f64 y #s(literal 31000000000000002131548697454084451867731000014956886411981211692219829533902282999662576752345068184060204044864827021517034025765627773149990686294016 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (sin.f64 y) x))))))
(if (<=.f64 y #s(literal -6110483974416289/576460752303423488 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 45000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (or (<=.f64 y #s(literal -6110483974416289/576460752303423488 binary64)) (not (<=.f64 y #s(literal 45000 binary64)))) #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 y x z))
(if (<=.f64 z #s(literal -6368548303854545/9797766621314684873895700802803279209044463565243731922466831101232640732633100491228823617617764419367505179450247842283955649007454149170085442756585554871624752266571753841250508572690789992495054848 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (if (<=.f64 z #s(literal 1333754873792233/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))))
(if (or (<=.f64 z #s(literal -6368548303854545/9797766621314684873895700802803279209044463565243731922466831101232640732633100491228823617617764419367505179450247842283955649007454149170085442756585554871624752266571753841250508572690789992495054848 binary64)) (not (<=.f64 z #s(literal 1333754873792233/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616 binary64)))) #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* y x) z) (*.f64 x y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* y x) z) (*.f64 x y)))

soundness1.2s (15.1%)

Memory
1.3MiB live, 923.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109288
1344284
2989274
32660268
44769268
57096268
08135233
0821
01321
12921
218521
3185421
0823220
04191762
113831690
247721614
081591528
05782726
120122618
269712569
083452407
043227
067221
1255221
21610221
08470218
03741461
111831399
239161331
081561265
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 460 to 184 computations (60% saved)

preprocess44.0ms (0.6%)

Memory
-11.7MiB live, 103.8MiB allocated
Compiler

Compiled 628 to 148 computations (76.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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